Simply drag over the table and copy/paste into Excel. A reminder that 'Exam Skills' involves tasks consisting of past paper exam questions, whereas 'Key Skills' are more finegrained question types and involve tasks with randomly generated questions.

Type | Skill Id | Key Stage | Strand | Topic | Name | InCourse | Resources | Video |
---|---|---|---|---|---|---|---|---|

Key Skill | K1 | KS3/4 | Number | Basic Arithmetic | Order integers. | Yes | drfrostmaths.com/keyskills.php?ksid=1 | drfrostmaths.com/videos.php?ksid=1 |

Key Skill | K2 | KS3/4 | Number | Basic Arithmetic | Know the place value of digits in whole numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=2 | drfrostmaths.com/videos.php?ksid=2 |

Key Skill | K3 | KS3/4 | Number | Basic Arithmetic | Read a number up to 1000 in words. | Yes | drfrostmaths.com/keyskills.php?ksid=3 | drfrostmaths.com/videos.php?ksid=3 |

Key Skill | K4 | KS3/4 | Number | Basic Arithmetic | Write a number up to 1000 in words. | Yes | drfrostmaths.com/keyskills.php?ksid=4 | drfrostmaths.com/videos.php?ksid=4 |

Key Skill | K5 | KS3/4 | Number | Basic Arithmetic | Read a number greater than 1000 in words. | Yes | drfrostmaths.com/keyskills.php?ksid=5 | drfrostmaths.com/videos.php?ksid=5 |

Key Skill | K6 | KS3/4 | Number | Basic Arithmetic | Write a number greater than 1000 in words. | Yes | drfrostmaths.com/keyskills.php?ksid=6 | drfrostmaths.com/videos.php?ksid=6 |

Key Skill | K7 | KS3/4 | Number | Basic Arithmetic | Add and subtract integers using number bonds. | Yes | drfrostmaths.com/keyskills.php?ksid=7 | |

Key Skill | K8 | KS3/4 | Number | Basic Arithmetic | Add integers with a written method. | Yes | drfrostmaths.com/keyskills.php?ksid=8 | drfrostmaths.com/videos.php?ksid=8 |

Key Skill | K9 | KS3/4 | Number | Basic Arithmetic | Subtract integers with a written method. | Yes | drfrostmaths.com/keyskills.php?ksid=9 | drfrostmaths.com/videos.php?ksid=9 |

Key Skill | K10 | KS3/4 | Number | Basic Arithmetic | Subtract integers with a written method with borrowing. | Yes | drfrostmaths.com/keyskills.php?ksid=10 | drfrostmaths.com/videos.php?ksid=10 |

Key Skill | K11 | KS3/4 | Number | Basic Arithmetic | Multiply integers by 10, 100 or 1000. | Yes | drfrostmaths.com/keyskills.php?ksid=11 | drfrostmaths.com/videos.php?ksid=11 |

Key Skill | K12 | KS3/4 | Number | Basic Arithmetic | Multiply any integer by a single-digit integer. | Yes | drfrostmaths.com/keyskills.php?ksid=12 | drfrostmaths.com/videos.php?ksid=12 |

Key Skill | K13 | KS3/4 | Number | Basic Arithmetic | Multiply any integer by a 2-digit integer. | Yes | drfrostmaths.com/keyskills.php?ksid=13 | |

Key Skill | K14 | KS3/4 | Number | Basic Arithmetic | Multiply any integer by a 3-digit integer. | Yes | drfrostmaths.com/keyskills.php?ksid=14 | drfrostmaths.com/videos.php?ksid=14 |

Key Skill | K15 | KS3/4 | Number | Basic Arithmetic | Divide integers by 10, 100 or 1000. | Yes | drfrostmaths.com/keyskills.php?ksid=15 | drfrostmaths.com/videos.php?ksid=15 |

Key Skill | K16 | KS3/4 | Number | Basic Arithmetic | Divide any integer by a single-digit integer. | Yes | drfrostmaths.com/keyskills.php?ksid=16 | drfrostmaths.com/videos.php?ksid=16 |

Key Skill | K17 | KS3/4 | Number | Basic Arithmetic | Divide any integer by a double-digit integer. | Yes | drfrostmaths.com/keyskills.php?ksid=17 | drfrostmaths.com/videos.php?ksid=17 |

Key Skill | K18 | KS3/4 | Number | Powers, Roots & Laws of Indices | Calculate powers of a number. | Yes | drfrostmaths.com/keyskills.php?ksid=18 | drfrostmaths.com/videos.php?ksid=18 |

Key Skill | K19 | KS3/4 | Number | Powers, Roots & Laws of Indices | Find the square root of a number. | Yes | drfrostmaths.com/keyskills.php?ksid=19 | drfrostmaths.com/videos.php?ksid=19 |

Key Skill | K20 | KS3/4 | Number | Powers, Roots & Laws of Indices | Find the cube root of a number using a calculator. | Yes | drfrostmaths.com/keyskills.php?ksid=20 | drfrostmaths.com/videos.php?ksid=20 |

Key Skill | K21 | KS3/4 | Number | Basic Arithmetic | Identify odd and even numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=21 | drfrostmaths.com/videos.php?ksid=21 |

Key Skill | K22 | KS3/4 | Number | Powers, Roots & Laws of Indices | Identify square numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=22 | drfrostmaths.com/videos.php?ksid=22 |

Key Skill | K23 | KS3/4 | Number | Powers, Roots & Laws of Indices | Identify cube numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=23 | drfrostmaths.com/videos.php?ksid=23 |

Key Skill | K24 | KS3/4 | Number | Basic Arithmetic | Solve an arithmetic worded problem involving addition or subraction. | Yes | drfrostmaths.com/keyskills.php?ksid=24 | |

Key Skill | K25 | KS3/4 | Number | Basic Arithmetic | Solve an arithmetic worded problem involving multiplication or division. | Yes | drfrostmaths.com/keyskills.php?ksid=25 | |

Key Skill | K26 | KS3/4 | Number | Basic Arithmetic | Work out a calculation using a given fact involving integers. | Yes | drfrostmaths.com/keyskills.php?ksid=26 | |

Key Skill | K27 | KS3/4 | Number | Basic Arithmetic | Know the place value of digits in decimal numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=27 | drfrostmaths.com/videos.php?ksid=27 |

Key Skill | K28 | KS3/4 | Number | Decimals | Order decimals. | Yes | drfrostmaths.com/keyskills.php?ksid=28 | drfrostmaths.com/videos.php?ksid=28 |

Key Skill | K29 | KS3/4 | Number | Decimals | Multiply decimals by positive powers of 10. | Yes | drfrostmaths.com/keyskills.php?ksid=29 | drfrostmaths.com/videos.php?ksid=29 |

Key Skill | K30 | KS3/4 | Number | Decimals | Divide decimals by positive powers of 10. | Yes | drfrostmaths.com/keyskills.php?ksid=30 | drfrostmaths.com/videos.php?ksid=30 |

Key Skill | K31 | KS3/4 | Number | Decimals | Add two decimal numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=31 | drfrostmaths.com/videos.php?ksid=31 |

Key Skill | K32 | KS3/4 | Number | Decimals | Subtract two decimal numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=32 | drfrostmaths.com/videos.php?ksid=32 |

Key Skill | K33 | KS3/4 | Number | Decimals | Multiply a decimal by an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=33 | drfrostmaths.com/videos.php?ksid=33 |

Key Skill | K34 | KS3/4 | Number | Decimals | Multiply a decimal by a decimal. | Yes | drfrostmaths.com/keyskills.php?ksid=34 | drfrostmaths.com/videos.php?ksid=34 |

Key Skill | K35 | KS3/4 | Number | Decimals | Divide a decimal by a single-digit integer. | Yes | drfrostmaths.com/keyskills.php?ksid=35 | drfrostmaths.com/videos.php?ksid=35 |

Key Skill | K36 | KS3/4 | Number | Decimals | Divide a decimal by a decimal. | Yes | drfrostmaths.com/keyskills.php?ksid=36 | drfrostmaths.com/videos.php?ksid=36 |

Key Skill | K37 | KS3/4 | Number | Decimals | Multiply decimals by negative powers of 10. | Yes | drfrostmaths.com/keyskills.php?ksid=37 | drfrostmaths.com/videos.php?ksid=37 |

Key Skill | K38 | KS3/4 | Number | Decimals | Divide decimals by negative powers of 10. | Yes | drfrostmaths.com/keyskills.php?ksid=38 | drfrostmaths.com/videos.php?ksid=38 |

Key Skill | K39 | KS3/4 | Number | Decimals | Work out a calculation using a given fact involving decimals. | Yes | drfrostmaths.com/keyskills.php?ksid=39 | drfrostmaths.com/videos.php?ksid=39 |

Key Skill | K40 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Read positive values off a scale. | Yes | drfrostmaths.com/keyskills.php?ksid=40 | drfrostmaths.com/videos.php?ksid=40 |

Key Skill | K41 | KS3/4 | Number | Decimals | Place a decimal number on a number line. | Yes | drfrostmaths.com/keyskills.php?ksid=41 | drfrostmaths.com/videos.php?ksid=41 |

Key Skill | K42 | KS3/4 | Number | Decimals | Write down a decimal number placed on an number line. | Yes | drfrostmaths.com/keyskills.php?ksid=42 | drfrostmaths.com/videos.php?ksid=42 |

Key Skill | K43 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Measure a line correct to the nearest millimetre. | Yes | drfrostmaths.com/keyskills.php?ksid=43 | |

Key Skill | K44 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Draw a line correct to the nearest millimetre. | Yes | drfrostmaths.com/keyskills.php?ksid=44 | |

Key Skill | K45 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find what fraction of a shape is shaded. | Yes | drfrostmaths.com/keyskills.php?ksid=45 | drfrostmaths.com/videos.php?ksid=45 |

Key Skill | K46 | KS3/4 | Number | Fractions | Find equivalent fractions. | Yes | drfrostmaths.com/keyskills.php?ksid=46 | drfrostmaths.com/videos.php?ksid=46 |

Key Skill | K47 | KS3/4 | Number | Fractions | Write a fraction in its simplest form. | Yes | drfrostmaths.com/keyskills.php?ksid=47 | drfrostmaths.com/videos.php?ksid=47 |

Key Skill | K48 | KS3/4 | Number | Fractions | Write a proportion as a fraction in its simplest form. | Yes | drfrostmaths.com/keyskills.php?ksid=48 | drfrostmaths.com/videos.php?ksid=48 |

Key Skill | K49 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Compare two fractions. | Yes | drfrostmaths.com/keyskills.php?ksid=49 | drfrostmaths.com/videos.php?ksid=49 |

Key Skill | K50 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find what percentage of a shape is shaded. | Yes | drfrostmaths.com/keyskills.php?ksid=50 | drfrostmaths.com/videos.php?ksid=50 |

Key Skill | K51 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert a fraction to a percentage. | Yes | drfrostmaths.com/keyskills.php?ksid=51 | drfrostmaths.com/videos.php?ksid=51 |

Key Skill | K52 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find what percentage of a shape is shaded for more general grid sizes. | Yes | drfrostmaths.com/keyskills.php?ksid=52 | |

Key Skill | K53 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert a fraction to a non-recurring decimal. | Yes | drfrostmaths.com/keyskills.php?ksid=53 | drfrostmaths.com/videos.php?ksid=53 |

Key Skill | K54 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert a non-recurring decimal to a fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=54 | drfrostmaths.com/videos.php?ksid=54 |

Key Skill | K55 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert a non-recurring decimal to a percentage. | Yes | drfrostmaths.com/keyskills.php?ksid=55 | drfrostmaths.com/videos.php?ksid=55 |

Key Skill | K56 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert a percentage to a decimal. | Yes | drfrostmaths.com/keyskills.php?ksid=56 | drfrostmaths.com/videos.php?ksid=56 |

Key Skill | K57 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert a percentage to a fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=57 | drfrostmaths.com/videos.php?ksid=57 |

Key Skill | K58 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Order a mixture of fractions, decimals and percentages. | Yes | drfrostmaths.com/keyskills.php?ksid=58 | drfrostmaths.com/videos.php?ksid=58 |

Key Skill | K59 | KS3/4 | Number | Factors, Multiples and Primes | Find factors of a number. | Yes | drfrostmaths.com/keyskills.php?ksid=59 | drfrostmaths.com/videos.php?ksid=59 |

Key Skill | K60 | KS3/4 | Number | Factors, Multiples and Primes | Find multiples of a number. | Yes | drfrostmaths.com/keyskills.php?ksid=60 | drfrostmaths.com/videos.php?ksid=60 |

Key Skill | K61 | KS3/4 | Number | Factors, Multiples and Primes | Identify prime numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=61 | drfrostmaths.com/videos.php?ksid=61 |

Key Skill | K62 | KS3/4 | Number | Rounding & Estimation | Round a number to the nearest whole, ten, hundred or thousand. | Yes | drfrostmaths.com/keyskills.php?ksid=62 | drfrostmaths.com/videos.php?ksid=62 |

Key Skill | K63 | KS3/4 | Number | Rounding & Estimation | Round a number to a given number of decimal places. | Yes | drfrostmaths.com/keyskills.php?ksid=63 | drfrostmaths.com/videos.php?ksid=63 |

Key Skill | K64 | KS3/4 | Shape, Space & Measures | Time | Convert from hours to minutes. | Yes | drfrostmaths.com/keyskills.php?ksid=64 | drfrostmaths.com/videos.php?ksid=64 |

Key Skill | K65 | KS3/4 | Shape, Space & Measures | Time | Convert from minutes to seconds. | Yes | drfrostmaths.com/keyskills.php?ksid=65 | drfrostmaths.com/videos.php?ksid=65 |

Key Skill | K66 | KS3/4 | Shape, Space & Measures | Time | Convert from years to months. | Yes | drfrostmaths.com/keyskills.php?ksid=66 | drfrostmaths.com/videos.php?ksid=66 |

Key Skill | K67 | KS3/4 | Shape, Space & Measures | Time | Convert from weeks to days. | Yes | drfrostmaths.com/keyskills.php?ksid=67 | drfrostmaths.com/videos.php?ksid=67 |

Key Skill | K68 | KS3/4 | Shape, Space & Measures | Time | Tell the time from an analogue clock. | Yes | drfrostmaths.com/keyskills.php?ksid=68 | drfrostmaths.com/videos.php?ksid=68 |

Key Skill | K69 | KS3/4 | Shape, Space & Measures | Time | Convert from the 12-hour clock to the 24-hour clock. | Yes | drfrostmaths.com/keyskills.php?ksid=69 | drfrostmaths.com/videos.php?ksid=69 |

Key Skill | K70 | KS3/4 | Shape, Space & Measures | Time | Find the difference between two times. | Yes | drfrostmaths.com/keyskills.php?ksid=70 | drfrostmaths.com/videos.php?ksid=70 |

Key Skill | K71 | KS3/4 | Shape, Space & Measures | Time | Find the new time after a period of time has elapsed. | Yes | drfrostmaths.com/keyskills.php?ksid=71 | |

Key Skill | K72 | KS3/4 | Data Handling & Probability | Probability | Describe probabilities using worded terms. | Yes | drfrostmaths.com/keyskills.php?ksid=72 | drfrostmaths.com/videos.php?ksid=72 |

Key Skill | K73 | KS3/4 | Data Handling & Probability | Probability | Use a probability scale from 0 to 1. | Yes | drfrostmaths.com/keyskills.php?ksid=73 | |

Key Skill | K74 | KS3/4 | Data Handling & Probability | Probability | List outcomes using a sample space. | Yes | drfrostmaths.com/keyskills.php?ksid=74 | |

Key Skill | K75 | KS3/4 | Data Handling & Probability | Probability | Calculate probabilities. | Yes | drfrostmaths.com/keyskills.php?ksid=75 | drfrostmaths.com/videos.php?ksid=75 |

Key Skill | K76 | KS3/4 | Data Handling & Probability | Probability | TODO Determine a probability from a two-way table. | Yes | drfrostmaths.com/keyskills.php?ksid=76 | |

Key Skill | K77 | KS3/4 | Data Handling & Probability | Probability | Determine a probability from a given sample space | Yes | drfrostmaths.com/keyskills.php?ksid=77 | |

Key Skill | K78 | KS3/4 | Data Handling & Probability | Probability | Probability of mutually exclusive events. | Yes | drfrostmaths.com/keyskills.php?ksid=78 | drfrostmaths.com/videos.php?ksid=78 |

Key Skill | K79 | KS3/4 | Data Handling & Probability | Probability | Find the probability of an event not happening. | Yes | drfrostmaths.com/keyskills.php?ksid=79 | drfrostmaths.com/videos.php?ksid=79 |

Key Skill | K80 | KS3/4 | Data Handling & Probability | Data Representation | Interpret a tally chart. | Yes | drfrostmaths.com/keyskills.php?ksid=80 | drfrostmaths.com/videos.php?ksid=80 |

Key Skill | K81 | KS3/4 | Data Handling & Probability | Data Representation | Interpret a pictogram. | Yes | drfrostmaths.com/keyskills.php?ksid=81 | drfrostmaths.com/videos.php?ksid=81 |

Key Skill | K82 | KS3/4 | Data Handling & Probability | Data Representation | Draw a bar chart. | Yes | drfrostmaths.com/keyskills.php?ksid=82 | drfrostmaths.com/videos.php?ksid=82 |

Key Skill | K83 | KS3/4 | Data Handling & Probability | Data Representation | Interpret a bar chart. | Yes | drfrostmaths.com/keyskills.php?ksid=83 | drfrostmaths.com/videos.php?ksid=83 |

Key Skill | K84 | KS3/4 | Data Handling & Probability | Data Representation | Draw a two-way table. | Yes | drfrostmaths.com/keyskills.php?ksid=84 | drfrostmaths.com/videos.php?ksid=84 |

Key Skill | K85 | KS3/4 | Data Handling & Probability | Data Representation | Draw a frequency tree. | Yes | drfrostmaths.com/keyskills.php?ksid=85 | drfrostmaths.com/videos.php?ksid=85 |

Key Skill | K86 | KS3/4 | Shape, Space & Measures | Time | Find a time using a timetable. | Yes | drfrostmaths.com/keyskills.php?ksid=86 | |

Key Skill | K87 | KS3/4 | Shape, Space & Measures | Time | TODO Make calculations from bus/train timetables. | Yes | drfrostmaths.com/keyskills.php?ksid=87 | |

Key Skill | K88 | KS3/4 | Shape, Space & Measures | Time | TODO Make calculations using a distance chart. | Yes | drfrostmaths.com/keyskills.php?ksid=88 | |

Key Skill | K89 | KS3/4 | Data Handling & Probability | Data Representation | TODO Interpret a time series graph. | Yes | drfrostmaths.com/keyskills.php?ksid=89 | |

Key Skill | K90 | KS3/4 | Data Handling & Probability | Data Representation | TODO Draw a time series graph. | Yes | drfrostmaths.com/keyskills.php?ksid=90 | |

Key Skill | K91 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | TODO Draw a conversion graph. | Yes | drfrostmaths.com/keyskills.php?ksid=91 | |

Key Skill | K92 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Use a conversion graph. | Yes | drfrostmaths.com/keyskills.php?ksid=92 | |

Key Skill | K93 | KS3/4 | Shape, Space & Measures | 2D Properties of Shapes | Know the names of polygons. | Yes | drfrostmaths.com/keyskills.php?ksid=93 | drfrostmaths.com/videos.php?ksid=93 |

Key Skill | K94 | KS3/4 | Shape, Space & Measures | 2D Properties of Shapes | Know the names of different types of triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=94 | drfrostmaths.com/videos.php?ksid=94 |

Key Skill | K95 | KS3/4 | Shape, Space & Measures | 2D Properties of Shapes | TODO Know the names of quadrilaterals. | Yes | drfrostmaths.com/keyskills.php?ksid=95 | |

Key Skill | K96 | KS3/4 | Shape, Space & Measures | 2D Properties of Shapes | Understand the definition of different 2D shapes and their properties. | Yes | drfrostmaths.com/keyskills.php?ksid=96 | drfrostmaths.com/videos.php?ksid=96 |

Key Skill | K97 | KS3/4 | Shape, Space & Measures | Symmetry | Identify lines of symmetry in 2D shapes. | Yes | drfrostmaths.com/keyskills.php?ksid=97 | drfrostmaths.com/videos.php?ksid=97 |

Key Skill | K98 | KS3/4 | Shape, Space & Measures | Symmetry | Identify the order of rotational symmetry. | Yes | drfrostmaths.com/keyskills.php?ksid=98 | drfrostmaths.com/videos.php?ksid=98 |

Key Skill | K99 | KS3/4 | Shape, Space & Measures | Angles | Identify the type of different angles. | Yes | drfrostmaths.com/keyskills.php?ksid=99 | drfrostmaths.com/videos.php?ksid=99 |

Key Skill | K100 | KS3/4 | Shape, Space & Measures | Angles | Compare and order angles up to two right angles by size. | Yes | drfrostmaths.com/keyskills.php?ksid=100 | |

Key Skill | K101 | KS3/4 | Shape, Space & Measures | Angles | Estimate the size of an angle. | Yes | drfrostmaths.com/keyskills.php?ksid=101 | drfrostmaths.com/videos.php?ksid=101 |

Key Skill | K102 | KS3/4 | Shape, Space & Measures | Angles | Use the three-letter angle notation. | Yes | drfrostmaths.com/keyskills.php?ksid=102 | drfrostmaths.com/videos.php?ksid=102 |

Key Skill | K103 | KS3/4 | Shape, Space & Measures | Angles | Angles on a line. | Yes | drfrostmaths.com/keyskills.php?ksid=103 | drfrostmaths.com/videos.php?ksid=103 |

Key Skill | K104 | KS3/4 | Shape, Space & Measures | Angles | Angles about a point. | Yes | drfrostmaths.com/keyskills.php?ksid=104 | drfrostmaths.com/videos.php?ksid=104 |

Key Skill | K105 | KS3/4 | Shape, Space & Measures | Angles | Measuring a non-reflex angle with a protractor. | Yes | drfrostmaths.com/keyskills.php?ksid=105 | |

Key Skill | K106 | KS3/4 | Shape, Space & Measures | Angles | TODO Drawing an angle with a protractor. | Yes | drfrostmaths.com/keyskills.php?ksid=106 | |

Key Skill | K107 | KS3/4 | Shape, Space & Measures | Angles | Angles in a triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=107 | drfrostmaths.com/videos.php?ksid=107 |

Key Skill | K108 | KS3/4 | Shape, Space & Measures | Angles | Angles in a triangle where one side is extended. | Yes | drfrostmaths.com/keyskills.php?ksid=108 | drfrostmaths.com/videos.php?ksid=108 |

Key Skill | K109 | KS3/4 | Shape, Space & Measures | Area & Perimeter | TODO Determine the perimeter of a shape by counting squares. | Yes | drfrostmaths.com/keyskills.php?ksid=109 | |

Key Skill | K110 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of a 2D shape by adding lengths. | Yes | drfrostmaths.com/keyskills.php?ksid=110 | drfrostmaths.com/videos.php?ksid=110 |

Key Skill | K111 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of a rectangle. | Yes | drfrostmaths.com/keyskills.php?ksid=111 | drfrostmaths.com/videos.php?ksid=111 |

Key Skill | K112 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find a side of a rectangle given its perimeter. | Yes | drfrostmaths.com/keyskills.php?ksid=112 | drfrostmaths.com/videos.php?ksid=112 |

Key Skill | K113 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of rectilinear shapes by counting squares. | Yes | drfrostmaths.com/keyskills.php?ksid=113 | drfrostmaths.com/videos.php?ksid=113 |

Key Skill | K114 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a rectangle. | Yes | drfrostmaths.com/keyskills.php?ksid=114 | drfrostmaths.com/videos.php?ksid=114 |

Key Skill | K115 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find a side of a rectangle given its area. | Yes | drfrostmaths.com/keyskills.php?ksid=115 | drfrostmaths.com/videos.php?ksid=115 |

Key Skill | K116 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of a composite rectilinear shape. | Yes | drfrostmaths.com/keyskills.php?ksid=116 | drfrostmaths.com/videos.php?ksid=116 |

Key Skill | K117 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of shapes made of several congruent rectangles. | Yes | drfrostmaths.com/keyskills.php?ksid=117 | |

Key Skill | K118 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a composite rectilinear shape. | Yes | drfrostmaths.com/keyskills.php?ksid=118 | drfrostmaths.com/videos.php?ksid=118 |

Key Skill | K119 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=119 | drfrostmaths.com/videos.php?ksid=119 |

Key Skill | K120 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the base or height of a triangle given its area. | Yes | drfrostmaths.com/keyskills.php?ksid=120 | drfrostmaths.com/videos.php?ksid=120 |

Key Skill | K121 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a triangle given the base, the height and another length. | Yes | drfrostmaths.com/keyskills.php?ksid=121 | |

Key Skill | K122 | KS3/4 | Shape, Space & Measures | Coordinates | Determine the coordinate of a point in the first quadrant. | Yes | drfrostmaths.com/keyskills.php?ksid=122 | drfrostmaths.com/videos.php?ksid=122 |

Key Skill | K123 | KS3/4 | Shape, Space & Measures | Coordinates | Plot a point in the first quadrant given its coordinates. | Yes | drfrostmaths.com/keyskills.php?ksid=123 | drfrostmaths.com/videos.php?ksid=123 |

Key Skill | K124 | KS3/4 | Shape, Space & Measures | Coordinates | Determine the coordinate of a point in any quadrant. | Yes | drfrostmaths.com/keyskills.php?ksid=124 | drfrostmaths.com/videos.php?ksid=124 |

Key Skill | K125 | KS3/4 | Shape, Space & Measures | Coordinates | Plot a point in any quadrant given its coordinates. | Yes | drfrostmaths.com/keyskills.php?ksid=125 | drfrostmaths.com/videos.php?ksid=125 |

Key Skill | K126 | KS3/4 | Shape, Space & Measures | Coordinates | Find the coordinates of a vertex of a square, given the 3 other coordinates. | Yes | drfrostmaths.com/keyskills.php?ksid=126 | drfrostmaths.com/videos.php?ksid=126 |

Key Skill | K127 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert metric units of length from smaller units to bigger units. | Yes | drfrostmaths.com/keyskills.php?ksid=127 | drfrostmaths.com/videos.php?ksid=127 |

Key Skill | K128 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert metric units of length from bigger units to smaller units. | Yes | drfrostmaths.com/keyskills.php?ksid=128 | drfrostmaths.com/videos.php?ksid=128 |

Key Skill | K129 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Calculate with metric measures of length. | Yes | drfrostmaths.com/keyskills.php?ksid=129 | drfrostmaths.com/videos.php?ksid=129 |

Key Skill | K130 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert units of mass by multiplying. | Yes | drfrostmaths.com/keyskills.php?ksid=130 | drfrostmaths.com/videos.php?ksid=130 |

Key Skill | K131 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert units of mass by dividing. | Yes | drfrostmaths.com/keyskills.php?ksid=131 | drfrostmaths.com/videos.php?ksid=131 |

Key Skill | K132 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert units of capacity by multiplying. | Yes | drfrostmaths.com/keyskills.php?ksid=132 | drfrostmaths.com/videos.php?ksid=132 |

Key Skill | K133 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert units of capacity by dividing. | Yes | drfrostmaths.com/keyskills.php?ksid=133 | drfrostmaths.com/videos.php?ksid=133 |

Key Skill | K134 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert from units of volume to units of capacity. | Yes | drfrostmaths.com/keyskills.php?ksid=134 | |

Key Skill | K135 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert from units of capacity to units of volume. | Yes | drfrostmaths.com/keyskills.php?ksid=135 | |

Key Skill | K136 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Substitute with one variable (single operation). | Yes | drfrostmaths.com/keyskills.php?ksid=136 | drfrostmaths.com/videos.php?ksid=136 |

Key Skill | K137 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Substitute with one variable (single operation plus constant). | Yes | drfrostmaths.com/keyskills.php?ksid=137 | drfrostmaths.com/videos.php?ksid=137 |

Key Skill | K138 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Substitution with one variable (multiple operations). | Yes | drfrostmaths.com/keyskills.php?ksid=138 | drfrostmaths.com/videos.php?ksid=138 |

Key Skill | K139 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Substitution with two variables. | Yes | drfrostmaths.com/keyskills.php?ksid=139 | drfrostmaths.com/videos.php?ksid=139 |

Key Skill | K140 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Substitution with negative numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=140 | drfrostmaths.com/videos.php?ksid=140 |

Key Skill | K141 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Add and subtract algebraic terms containing the same variable. | Yes | drfrostmaths.com/keyskills.php?ksid=141 | drfrostmaths.com/videos.php?ksid=141 |

Key Skill | K142 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Collect like terms which are positive and without powers. | Yes | drfrostmaths.com/keyskills.php?ksid=142 | drfrostmaths.com/videos.php?ksid=142 |

Key Skill | K143 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Collect like terms without powers. | Yes | drfrostmaths.com/keyskills.php?ksid=143 | drfrostmaths.com/videos.php?ksid=143 |

Key Skill | K144 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Collect like terms with powers. | Yes | drfrostmaths.com/keyskills.php?ksid=144 | drfrostmaths.com/videos.php?ksid=144 |

Key Skill | K145 | KS3/4 | Algebra | Solving Equations | Solve a one-step equation. | Yes | drfrostmaths.com/keyskills.php?ksid=145 | drfrostmaths.com/videos.php?ksid=145 |

Key Skill | K146 | KS3/4 | Algebra | Solving Equations | Solve a two-step equation where the solution is a positive integer. | Yes | drfrostmaths.com/keyskills.php?ksid=146 | drfrostmaths.com/videos.php?ksid=146 |

Key Skill | K147 | KS3/4 | Algebra | Solving Equations | Solve a general two-step equation. | Yes | drfrostmaths.com/keyskills.php?ksid=147 | drfrostmaths.com/videos.php?ksid=147 |

Key Skill | K148 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Multiply algebraic terms. | Yes | drfrostmaths.com/keyskills.php?ksid=148 | drfrostmaths.com/videos.php?ksid=148 |

Key Skill | K149 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Multiply algebraic terms with powers. | Yes | drfrostmaths.com/keyskills.php?ksid=149 | drfrostmaths.com/videos.php?ksid=149 |

Key Skill | K150 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Divide algebraic terms. | Yes | drfrostmaths.com/keyskills.php?ksid=150 | drfrostmaths.com/videos.php?ksid=150 |

Key Skill | K151 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Divide algebraic terms with powers. | Yes | drfrostmaths.com/keyskills.php?ksid=151 | drfrostmaths.com/videos.php?ksid=151 |

Key Skill | K152 | KS3/4 | Algebra | Solving Equations | Solve a linear equation with brackets. | Yes | drfrostmaths.com/keyskills.php?ksid=152 | drfrostmaths.com/videos.php?ksid=152 |

Key Skill | K153 | KS3/4 | Algebra | Expanding Brackets | Expand a single bracket with an integer on the front. | Yes | drfrostmaths.com/keyskills.php?ksid=153 | drfrostmaths.com/videos.php?ksid=153 |

Key Skill | K154 | KS3/4 | Algebra | Expanding Brackets | Expand a single bracket requiring simplification. | Yes | drfrostmaths.com/keyskills.php?ksid=154 | drfrostmaths.com/videos.php?ksid=154 |

Key Skill | K155 | KS3/4 | Algebra | Expanding Brackets | Expand two sets of single brackets and collect like terms. | Yes | drfrostmaths.com/keyskills.php?ksid=155 | drfrostmaths.com/videos.php?ksid=155 |

Key Skill | K156 | KS3/4 | Algebra | Expanding Brackets | Expand two sets of single brackets where the second bracket has a negative coefficient. | Yes | drfrostmaths.com/keyskills.php?ksid=156 | drfrostmaths.com/videos.php?ksid=156 |

Key Skill | K157 | KS3/4 | Algebra | Expanding Brackets | Expand a single bracket with an algebraic term at the front. | Yes | drfrostmaths.com/keyskills.php?ksid=157 | drfrostmaths.com/videos.php?ksid=157 |

Key Skill | K158 | KS3/4 | Algebra | Sequences | Continue a sequence. | Yes | drfrostmaths.com/keyskills.php?ksid=158 | drfrostmaths.com/videos.php?ksid=158 |

Key Skill | K159 | KS3/4 | Algebra | Sequences | Find a later term in a term-to-term sequence. | Yes | drfrostmaths.com/keyskills.php?ksid=159 | |

Key Skill | K160 | KS3/4 | Algebra | Sequences | Determine the nth term formula of an ascending arithmetic sequence | Yes | drfrostmaths.com/keyskills.php?ksid=160 | drfrostmaths.com/videos.php?ksid=160 |

Key Skill | K161 | KS3/4 | Algebra | Sequences | Determine the nth term formula of an descending arithmetic sequence. | Yes | drfrostmaths.com/keyskills.php?ksid=161 | drfrostmaths.com/videos.php?ksid=161 |

Key Skill | K162 | KS3/4 | Algebra | Sequences | Determine whether a number is a term in an arithmetic sequence. | Yes | drfrostmaths.com/keyskills.php?ksid=162 | drfrostmaths.com/videos.php?ksid=162 |

Key Skill | K163 | KS3/4 | Algebra | Sequences | Generate terms in a sequence using a linear ||n||th term. | Yes | drfrostmaths.com/keyskills.php?ksid=163 | drfrostmaths.com/videos.php?ksid=163 |

Key Skill | K164 | KS3/4 | Algebra | Sequences | Generate terms in a sequence using a non-linear ||n||th term. | Yes | drfrostmaths.com/keyskills.php?ksid=164 | drfrostmaths.com/videos.php?ksid=164 |

Key Skill | K165 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form an expression with one operation and one variable. | Yes | drfrostmaths.com/keyskills.php?ksid=165 | drfrostmaths.com/videos.php?ksid=165 |

Key Skill | K166 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form an expression with one variable and two operations. | Yes | drfrostmaths.com/keyskills.php?ksid=166 | drfrostmaths.com/videos.php?ksid=166 |

Key Skill | K167 | KS3/4 | Algebra | Formulae and Simplifying Expressions | TODO Form an expression involving two variables | Yes | drfrostmaths.com/keyskills.php?ksid=167 | |

Key Skill | K168 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form an expression from the perimeter of a 2D shape. | Yes | drfrostmaths.com/keyskills.php?ksid=168 | drfrostmaths.com/videos.php?ksid=168 |

Key Skill | K169 | KS3/4 | Number | Fractions | Add or subtract fractions with the same denominator. | Yes | drfrostmaths.com/keyskills.php?ksid=169 | drfrostmaths.com/videos.php?ksid=169 |

Key Skill | K170 | KS3/4 | Number | Fractions | Add or subtract fractions with different denominators. | Yes | drfrostmaths.com/keyskills.php?ksid=170 | drfrostmaths.com/videos.php?ksid=170 |

Key Skill | K171 | KS3/4 | Number | Fractions | Write an improper fraction as a mixed number. | Yes | drfrostmaths.com/keyskills.php?ksid=171 | drfrostmaths.com/videos.php?ksid=171 |

Key Skill | K172 | KS3/4 | Number | Fractions | Write a mixed number as an improper fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=172 | drfrostmaths.com/videos.php?ksid=172 |

Key Skill | K173 | KS3/4 | Number | Fractions | Multiply fractions. | Yes | drfrostmaths.com/keyskills.php?ksid=173 | drfrostmaths.com/videos.php?ksid=173 |

Key Skill | K174 | KS3/4 | Number | Fractions | Multiply a fraction by an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=174 | drfrostmaths.com/videos.php?ksid=174 |

Key Skill | K175 | KS3/4 | Number | Fractions | Divide fractions. | Yes | drfrostmaths.com/keyskills.php?ksid=175 | drfrostmaths.com/videos.php?ksid=175 |

Key Skill | K176 | KS3/4 | Number | Fractions | Divide a fraction by an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=176 | drfrostmaths.com/videos.php?ksid=176 |

Key Skill | K177 | KS3/4 | Number | Fractions | TODO Divide an integer by a fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=177 | |

Key Skill | K178 | KS3/4 | Number | Fractions | Add and subtract mixed numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=178 | drfrostmaths.com/videos.php?ksid=178 |

Key Skill | K179 | KS3/4 | Number | Fractions | Multiply mixed numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=179 | drfrostmaths.com/videos.php?ksid=179 |

Key Skill | K180 | KS3/4 | Number | Fractions | Divide mixed numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=180 | drfrostmaths.com/videos.php?ksid=180 |

Key Skill | K181 | KS3/4 | Number | Fractions | Multiply a mixed number by an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=181 | drfrostmaths.com/videos.php?ksid=181 |

Key Skill | K182 | KS3/4 | Number | Fractions | Divide a mixed number by an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=182 | drfrostmaths.com/videos.php?ksid=182 |

Key Skill | K183 | KS3/4 | Number | Fractions | Find a fraction of an amount. | Yes | drfrostmaths.com/keyskills.php?ksid=183 | drfrostmaths.com/videos.php?ksid=183 |

Key Skill | K184 | KS3/4 | Number | Fractions | Find an amount before a fraction of it was taken. | Yes | drfrostmaths.com/keyskills.php?ksid=184 | drfrostmaths.com/videos.php?ksid=184 |

Key Skill | K185 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Read negative values off a scale. | Yes | drfrostmaths.com/keyskills.php?ksid=185 | drfrostmaths.com/videos.php?ksid=185 |

Key Skill | K186 | KS3/4 | Number | Negative Numbers | Order a mixture of positive and negative numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=186 | drfrostmaths.com/videos.php?ksid=186 |

Key Skill | K187 | KS3/4 | Number | Negative Numbers | Add a positive number to any negative number. | Yes | drfrostmaths.com/keyskills.php?ksid=187 | drfrostmaths.com/videos.php?ksid=187 |

Key Skill | K188 | KS3/4 | Number | Negative Numbers | Subtract a positive number from a negative number. | Yes | drfrostmaths.com/keyskills.php?ksid=188 | drfrostmaths.com/videos.php?ksid=188 |

Key Skill | K189 | KS3/4 | Number | Negative Numbers | Add a negative number to any number. | Yes | drfrostmaths.com/keyskills.php?ksid=189 | drfrostmaths.com/videos.php?ksid=189 |

Key Skill | K190 | KS3/4 | Number | Negative Numbers | Subtract a negative number from any number. | Yes | drfrostmaths.com/keyskills.php?ksid=190 | drfrostmaths.com/videos.php?ksid=190 |

Key Skill | K191 | KS3/4 | Number | Negative Numbers | Multiply a mixture of positive and negative numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=191 | drfrostmaths.com/videos.php?ksid=191 |

Key Skill | K192 | KS3/4 | Number | Negative Numbers | Division with a mixture of positive and negative numbers. | Yes | drfrostmaths.com/keyskills.php?ksid=192 | drfrostmaths.com/videos.php?ksid=192 |

Key Skill | K193 | KS3/4 | Number | Order of Operations | Evaluate calculations with two operations. | Yes | drfrostmaths.com/keyskills.php?ksid=193 | drfrostmaths.com/videos.php?ksid=193 |

Key Skill | K194 | KS3/4 | Number | Order of Operations | Evaluate calculations with three operations. | Yes | drfrostmaths.com/keyskills.php?ksid=194 | drfrostmaths.com/videos.php?ksid=194 |

Key Skill | K195 | KS3/4 | Number | Order of Operations | Evaluate calculations with brackets. | Yes | drfrostmaths.com/keyskills.php?ksid=195 | drfrostmaths.com/videos.php?ksid=195 |

Key Skill | K196 | KS3/4 | Number | Ratio & Proportion | Write a ratio in its simplest form. | Yes | drfrostmaths.com/keyskills.php?ksid=196 | drfrostmaths.com/videos.php?ksid=196 |

Key Skill | K197 | KS3/4 | Number | Ratio & Proportion | Write a ratio in the form ||1 : n|| or ||n : 1||. | Yes | drfrostmaths.com/keyskills.php?ksid=197 | drfrostmaths.com/videos.php?ksid=197 |

Key Skill | K198 | KS3/4 | Number | Ratio & Proportion | Determine the fraction that a number within a ratio represents. | Yes | drfrostmaths.com/keyskills.php?ksid=198 | drfrostmaths.com/videos.php?ksid=198 |

Key Skill | K199 | KS3/4 | Number | Ratio & Proportion | Determine the percentage that a number within a ratio represents. | Yes | drfrostmaths.com/keyskills.php?ksid=199 | drfrostmaths.com/videos.php?ksid=199 |

Key Skill | K200 | KS3/4 | Number | Ratio & Proportion | TODO Determine a ratio to describe a situation. | Yes | drfrostmaths.com/keyskills.php?ksid=200 | |

Key Skill | K201 | KS3/4 | Number | Ratio & Proportion | TODO Write a ratio as a linear function. | Yes | drfrostmaths.com/keyskills.php?ksid=201 | |

Key Skill | K202 | KS3/4 | Number | Ratio & Proportion | Share an amount into a ratio with 2 parts. | Yes | drfrostmaths.com/keyskills.php?ksid=202 | drfrostmaths.com/videos.php?ksid=202 |

Key Skill | K203 | KS3/4 | Number | Ratio & Proportion | Share an amount into a ratio with 3 parts. | Yes | drfrostmaths.com/keyskills.php?ksid=203 | drfrostmaths.com/videos.php?ksid=203 |

Key Skill | K204 | KS3/4 | Number | Ratio & Proportion | Determine a value in a ratio when the difference between two amounts is given. | Yes | drfrostmaths.com/keyskills.php?ksid=204 | drfrostmaths.com/videos.php?ksid=204 |

Key Skill | K205 | KS3/4 | Number | Ratio & Proportion | Determine a value in a ratio when one amount is given. | Yes | drfrostmaths.com/keyskills.php?ksid=205 | drfrostmaths.com/videos.php?ksid=205 |

Key Skill | K206 | KS3/4 | Number | Ratio & Proportion | Combine two ratios to form one. | Yes | drfrostmaths.com/keyskills.php?ksid=206 | drfrostmaths.com/videos.php?ksid=206 |

Key Skill | K207 | KS3/4 | Number | Percentages | Find what percentage one number is of another. | Yes | drfrostmaths.com/keyskills.php?ksid=207 | drfrostmaths.com/videos.php?ksid=207 |

Key Skill | K208 | KS3/4 | Number | Percentages | Determine a percentage change. | Yes | drfrostmaths.com/keyskills.php?ksid=208 | drfrostmaths.com/videos.php?ksid=208 |

Key Skill | K209 | KS3/4 | Number | Percentages | Find the percentage of an amount without a calculator. | Yes | drfrostmaths.com/keyskills.php?ksid=209 | drfrostmaths.com/videos.php?ksid=209 |

Key Skill | K210 | KS3/4 | Number | Percentages | Increase or decrease an amount by a percentage without a calculator. | Yes | drfrostmaths.com/keyskills.php?ksid=210 | drfrostmaths.com/videos.php?ksid=210 |

Key Skill | K211 | KS3/4 | Number | Percentages | Find a decimal multiplier. | Yes | drfrostmaths.com/keyskills.php?ksid=211 | drfrostmaths.com/videos.php?ksid=211 |

Key Skill | K212 | KS3/4 | Number | Percentages | Find a decimal multiplier where the percentage is a decimal. | Yes | drfrostmaths.com/keyskills.php?ksid=212 | drfrostmaths.com/videos.php?ksid=212 |

Key Skill | K213 | KS3/4 | Number | Percentages | Find the percentage of an amount with a calculator. | Yes | drfrostmaths.com/keyskills.php?ksid=213 | drfrostmaths.com/videos.php?ksid=213 |

Key Skill | K214 | KS3/4 | Number | Percentages | Increase or decrease an amount by a percentage with a calculator. | Yes | drfrostmaths.com/keyskills.php?ksid=214 | drfrostmaths.com/videos.php?ksid=214 |

Key Skill | K215 | KS3/4 | Number | Factors, Multiples and Primes | Write a number as the product of its prime factors. | Yes | drfrostmaths.com/keyskills.php?ksid=215 | drfrostmaths.com/videos.php?ksid=215 |

Key Skill | K216 | KS3/4 | Number | Factors, Multiples and Primes | Find the HCF of two numbers using a listing strategy. | Yes | drfrostmaths.com/keyskills.php?ksid=216 | drfrostmaths.com/videos.php?ksid=216 |

Key Skill | K217 | KS3/4 | Number | Factors, Multiples and Primes | Find the HCF of two numbers which are already prime factorised. | Yes | drfrostmaths.com/keyskills.php?ksid=217 | drfrostmaths.com/videos.php?ksid=217 |

Key Skill | K218 | KS3/4 | Number | Factors, Multiples and Primes | Find the Highest Common Factor (HCF) of 2 numbers by prime factorising. | Yes | drfrostmaths.com/keyskills.php?ksid=218 | drfrostmaths.com/videos.php?ksid=218 |

Key Skill | K219 | KS3/4 | Number | Factors, Multiples and Primes | Find the LCM of two numbers using a listing strategy. | Yes | drfrostmaths.com/keyskills.php?ksid=219 | drfrostmaths.com/videos.php?ksid=219 |

Key Skill | K220 | KS3/4 | Number | Factors, Multiples and Primes | Find the LCM of two numbers which are already prime factorised. | Yes | drfrostmaths.com/keyskills.php?ksid=220 | drfrostmaths.com/videos.php?ksid=220 |

Key Skill | K221 | KS3/4 | Number | Factors, Multiples and Primes | Find the Lowest Common Multiple (LCM) of 2 numbers by prime factorising. | Yes | drfrostmaths.com/keyskills.php?ksid=221 | drfrostmaths.com/videos.php?ksid=221 |

Key Skill | K222 | KS3/4 | Number | Factors, Multiples and Primes | Determine which numbers divide into a given number. | Yes | drfrostmaths.com/keyskills.php?ksid=222 | drfrostmaths.com/videos.php?ksid=222 |

Key Skill | K223 | KS3/4 | Number | Rounding & Estimation | Round a number to a given number of significant figures. | Yes | drfrostmaths.com/keyskills.php?ksid=223 | drfrostmaths.com/videos.php?ksid=223 |

Key Skill | K224 | KS3/4 | Number | Rounding & Estimation | Estimate the answer of a simple calculation. | Yes | drfrostmaths.com/keyskills.php?ksid=224 | drfrostmaths.com/videos.php?ksid=224 |

Key Skill | K225 | KS3/4 | Number | Rounding & Estimation | Estimate the result of a division. | Yes | drfrostmaths.com/keyskills.php?ksid=225 | drfrostmaths.com/videos.php?ksid=225 |

Key Skill | K226 | KS3/4 | Number | Basic Arithmetic | Read Roman numerals to 100. | Yes | drfrostmaths.com/keyskills.php?ksid=226 | drfrostmaths.com/videos.php?ksid=226 |

Key Skill | K227 | KS3/4 | Number | Basic Arithmetic | TODO Read Roman numerals over 100. | Yes | drfrostmaths.com/keyskills.php?ksid=227 | |

Key Skill | K228 | KS3/4 | Number | Negative Numbers | Find the difference between two temperatures. | Yes | drfrostmaths.com/keyskills.php?ksid=228 | drfrostmaths.com/videos.php?ksid=228 |

Key Skill | K229 | KS3/4 | Number | Negative Numbers | Determine a new temperature after a change. | Yes | drfrostmaths.com/keyskills.php?ksid=229 | drfrostmaths.com/videos.php?ksid=229 |

Key Skill | K230 | KS3/4 | Number | Ratio & Proportion | Solve direct proportion problems using a scaling method. | Yes | drfrostmaths.com/keyskills.php?ksid=230 | drfrostmaths.com/videos.php?ksid=230 |

Key Skill | K231 | KS3/4 | Number | Ratio & Proportion | Use multiplicative reasoning in a recipe. | Yes | drfrostmaths.com/keyskills.php?ksid=231 | drfrostmaths.com/videos.php?ksid=231 |

Key Skill | K232 | KS3/4 | Number | Ratio & Proportion | Solve inverse proportion problems using a scaling method. | Yes | drfrostmaths.com/keyskills.php?ksid=232 | drfrostmaths.com/videos.php?ksid=232 |

Key Skill | K233 | KS3/4 | Number | Ratio & Proportion | Use proportion to solve best value problems. | Yes | drfrostmaths.com/keyskills.php?ksid=233 | drfrostmaths.com/videos.php?ksid=233 |

Key Skill | K234 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Use an exchange rate to calculate an amount by multiplying. | Yes | drfrostmaths.com/keyskills.php?ksid=234 | drfrostmaths.com/videos.php?ksid=234 |

Key Skill | K235 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Use an exchange rate to calculate an amount by dividing. | Yes | drfrostmaths.com/keyskills.php?ksid=235 | drfrostmaths.com/videos.php?ksid=235 |

Key Skill | K236 | KS3/4 | Data Handling & Probability | Averages and Range | Find the mean of listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=236 | drfrostmaths.com/videos.php?ksid=236 |

Key Skill | K237 | KS3/4 | Data Handling & Probability | Averages and Range | Find the mode of listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=237 | drfrostmaths.com/videos.php?ksid=237 |

Key Skill | K238 | KS3/4 | Data Handling & Probability | Averages and Range | Find the median of listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=238 | drfrostmaths.com/videos.php?ksid=238 |

Key Skill | K239 | KS3/4 | Data Handling & Probability | Averages and Range | Find the range of listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=239 | drfrostmaths.com/videos.php?ksid=239 |

Key Skill | K240 | KS3/4 | Data Handling & Probability | Averages and Range | Find a missing item given the mean and the other items. | Yes | drfrostmaths.com/keyskills.php?ksid=240 | drfrostmaths.com/videos.php?ksid=240 |

Key Skill | K241 | KS3/4 | Data Handling & Probability | Averages and Range | Determine a list of integers given information about their mean, median, range and mode. | Yes | drfrostmaths.com/keyskills.php?ksid=241 | drfrostmaths.com/videos.php?ksid=241 |

Key Skill | K242 | KS3/4 | Data Handling & Probability | Averages and Range | Determine the value that resulted in a change of mean. | Yes | drfrostmaths.com/keyskills.php?ksid=242 | drfrostmaths.com/videos.php?ksid=242 |

Key Skill | K243 | KS3/4 | Data Handling & Probability | Averages and Range | Determine the resulting mean when a value is removed. | Yes | drfrostmaths.com/keyskills.php?ksid=243 | drfrostmaths.com/videos.php?ksid=243 |

Key Skill | K244 | KS3/4 | Data Handling & Probability | Averages and Range | Determine the combined mean of two groups. | Yes | drfrostmaths.com/keyskills.php?ksid=244 | drfrostmaths.com/videos.php?ksid=244 |

Key Skill | K245 | KS3/4 | Data Handling & Probability | Averages and Range | Determine the mean of one group given the combined mean and the mean of the other group. | Yes | drfrostmaths.com/keyskills.php?ksid=245 | drfrostmaths.com/videos.php?ksid=245 |

Key Skill | K246 | KS3/4 | Data Handling & Probability | Frequency Tables | Read off frequency values from ungrouped frequency tables. | Yes | drfrostmaths.com/keyskills.php?ksid=246 | drfrostmaths.com/videos.php?ksid=246 |

Key Skill | K247 | KS3/4 | Data Handling & Probability | Frequency Tables | Form a frequency table from discrete data. | Yes | drfrostmaths.com/keyskills.php?ksid=247 | drfrostmaths.com/videos.php?ksid=247 |

Key Skill | K248 | KS3/4 | Data Handling & Probability | Frequency Tables | TODO Calculate the total from an ungrouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=248 | |

Key Skill | K249 | KS3/4 | Data Handling & Probability | Frequency Tables | Calculate mean from ungrouped frequency tables. | Yes | drfrostmaths.com/keyskills.php?ksid=249 | drfrostmaths.com/videos.php?ksid=249 |

Key Skill | K250 | KS3/4 | Data Handling & Probability | Frequency Tables | Identify the mode from an ungrouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=250 | drfrostmaths.com/videos.php?ksid=250 |

Key Skill | K251 | KS3/4 | Data Handling & Probability | Frequency Tables | Find the range from ungrouped frequency tables. | Yes | drfrostmaths.com/keyskills.php?ksid=251 | drfrostmaths.com/videos.php?ksid=251 |

Key Skill | K252 | KS3/4 | Data Handling & Probability | Frequency Tables | Find the median from an ungrouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=252 | drfrostmaths.com/videos.php?ksid=252 |

Key Skill | K253 | KS3/4 | Data Handling & Probability | Frequency Tables | Form a grouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=253 | drfrostmaths.com/videos.php?ksid=253 |

Key Skill | K254 | KS3/4 | Data Handling & Probability | Frequency Tables | TODO Estimate the total from a grouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=254 | |

Key Skill | K255 | KS3/4 | Data Handling & Probability | Frequency Tables | Estimate the mean from grouped frequency tables. | Yes | drfrostmaths.com/keyskills.php?ksid=255 | drfrostmaths.com/videos.php?ksid=255 |

Key Skill | K256 | KS3/4 | Data Handling & Probability | Frequency Tables | Identify the modal class from a grouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=256 | drfrostmaths.com/videos.php?ksid=256 |

Key Skill | K257 | KS3/4 | Data Handling & Probability | Frequency Tables | Identify the class interval of the median for a grouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=257 | drfrostmaths.com/videos.php?ksid=257 |

Key Skill | K258 | KS3/4 | Data Handling & Probability | Data Representation | Plot a point on a scatter graph. | Yes | drfrostmaths.com/keyskills.php?ksid=258 | drfrostmaths.com/videos.php?ksid=258 |

Key Skill | K259 | KS3/4 | Data Handling & Probability | Data Representation | Intepret the correlation represented on a scatter graph. | Yes | drfrostmaths.com/keyskills.php?ksid=259 | drfrostmaths.com/videos.php?ksid=259 |

Key Skill | K260 | KS3/4 | Data Handling & Probability | Data Representation | Use a line of best fit on a scatter graph. | Yes | drfrostmaths.com/keyskills.php?ksid=260 | drfrostmaths.com/videos.php?ksid=260 |

Key Skill | K261 | KS3/4 | Data Handling & Probability | Data Representation | Draw a stem-and-leaf diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=261 | drfrostmaths.com/videos.php?ksid=261 |

Key Skill | K262 | KS3/4 | Data Handling & Probability | Data Representation | Find the mean from a stem-and-leaf diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=262 | |

Key Skill | K263 | KS3/4 | Data Handling & Probability | Data Representation | Find the median from a stem-and-leaf diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=263 | drfrostmaths.com/videos.php?ksid=263 |

Key Skill | K264 | KS3/4 | Data Handling & Probability | Data Representation | Find the mode from a stem-and-leaf diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=264 | drfrostmaths.com/videos.php?ksid=264 |

Key Skill | K265 | KS3/4 | Data Handling & Probability | Data Representation | Find the range from a stem-and-leaf diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=265 | drfrostmaths.com/videos.php?ksid=265 |

Key Skill | K266 | KS3/4 | Data Handling & Probability | Data Representation | Interpret a pie chart. | Yes | drfrostmaths.com/keyskills.php?ksid=266 | drfrostmaths.com/videos.php?ksid=266 |

Key Skill | K267 | KS3/4 | Data Handling & Probability | Data Representation | Draw a pie chart. | Yes | drfrostmaths.com/keyskills.php?ksid=267 | drfrostmaths.com/videos.php?ksid=267 |

Key Skill | K268 | KS3/4 | Data Handling & Probability | Data Representation | Draw a frequency polygon. | Yes | drfrostmaths.com/keyskills.php?ksid=268 | drfrostmaths.com/videos.php?ksid=268 |

Key Skill | K269 | KS3/4 | Data Handling & Probability | Probability | Determine the relative frequency of an outcome. | Yes | drfrostmaths.com/keyskills.php?ksid=269 | drfrostmaths.com/videos.php?ksid=269 |

Key Skill | K270 | KS3/4 | Data Handling & Probability | Probability | Work out an expected value given repeated trials. | Yes | drfrostmaths.com/keyskills.php?ksid=270 | drfrostmaths.com/videos.php?ksid=270 |

Key Skill | K271 | KS3/4 | Data Handling & Probability | Data Collection | Take a stratified sample. | Yes | drfrostmaths.com/keyskills.php?ksid=271 | drfrostmaths.com/videos.php?ksid=271 |

Key Skill | K272 | KS3/4 | Data Handling & Probability | Data Collection | Use the capture-recapture method to estimate the size of a population. | Yes | drfrostmaths.com/keyskills.php?ksid=272 | drfrostmaths.com/videos.php?ksid=272 |

Key Skill | K273 | KS3/4 | Shape, Space & Measures | Transformations | Reflect a shape against a vertical or horizontal line drawn on the grid. | Yes | drfrostmaths.com/keyskills.php?ksid=273 | drfrostmaths.com/videos.php?ksid=273 |

Key Skill | K274 | KS3/4 | Shape, Space & Measures | Transformations | Reflect a shape against a diagonal line drawn on the grid. | Yes | drfrostmaths.com/keyskills.php?ksid=274 | drfrostmaths.com/videos.php?ksid=274 |

Key Skill | K275 | KS3/4 | Shape, Space & Measures | Transformations | Reflect a shape in the ||x|| or ||y|| axis. | Yes | drfrostmaths.com/keyskills.php?ksid=275 | drfrostmaths.com/videos.php?ksid=275 |

Key Skill | K276 | KS3/4 | Shape, Space & Measures | Transformations | Rotate a shape 90Âº or 180Âº about a point. | Yes | drfrostmaths.com/keyskills.php?ksid=276 | |

Key Skill | K277 | KS3/4 | Shape, Space & Measures | Transformations | Rotate a shape 270Âº about a point. | Yes | drfrostmaths.com/keyskills.php?ksid=277 | |

Key Skill | K278 | KS3/4 | Shape, Space & Measures | Transformations | TODO Translate a shape on a square grid. | Yes | drfrostmaths.com/keyskills.php?ksid=278 | |

Key Skill | K279 | KS3/4 | Shape, Space & Measures | Transformations | Translate a shape using directional language. | Yes | drfrostmaths.com/keyskills.php?ksid=279 | drfrostmaths.com/videos.php?ksid=279 |

Key Skill | K280 | KS3/4 | Shape, Space & Measures | Transformations | Translate a shape by a vector. | Yes | drfrostmaths.com/keyskills.php?ksid=280 | drfrostmaths.com/videos.php?ksid=280 |

Key Skill | K281 | KS3/4 | Shape, Space & Measures | Transformations | Describe a translation. | Yes | drfrostmaths.com/keyskills.php?ksid=281 | drfrostmaths.com/videos.php?ksid=281 |

Key Skill | K282 | KS3/4 | Shape, Space & Measures | Transformations | Describe a rotation centred at the origin. | Yes | drfrostmaths.com/keyskills.php?ksid=282 | drfrostmaths.com/videos.php?ksid=282 |

Key Skill | K283 | KS3/4 | Shape, Space & Measures | Transformations | Describe a ||180^{\circ}|| rotation centred at a point. | Yes | drfrostmaths.com/keyskills.php?ksid=283 | drfrostmaths.com/videos.php?ksid=283 |

Key Skill | K284 | KS3/4 | Shape, Space & Measures | Transformations | Describe a ||90^{\circ}|| rotation centred at a point. | Yes | drfrostmaths.com/keyskills.php?ksid=284 | drfrostmaths.com/videos.php?ksid=284 |

Key Skill | K285 | KS3/4 | Shape, Space & Measures | Transformations | Enlarge a shape by an integer scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=285 | drfrostmaths.com/videos.php?ksid=285 |

Key Skill | K286 | KS3/4 | Shape, Space & Measures | Transformations | Describe an enlargement with an integer scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=286 | drfrostmaths.com/videos.php?ksid=286 |

Key Skill | K287 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the circumference of a full circle given its radius. | Yes | drfrostmaths.com/keyskills.php?ksid=287 | drfrostmaths.com/videos.php?ksid=287 |

Key Skill | K288 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the circumference of a full circle given its diameter. | Yes | drfrostmaths.com/keyskills.php?ksid=288 | drfrostmaths.com/videos.php?ksid=288 |

Key Skill | K289 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the radius of a circle given its circumference. | Yes | drfrostmaths.com/keyskills.php?ksid=289 | drfrostmaths.com/videos.php?ksid=289 |

Key Skill | K290 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a full circle given its radius. | Yes | drfrostmaths.com/keyskills.php?ksid=290 | drfrostmaths.com/videos.php?ksid=290 |

Key Skill | K291 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a full circle given its diameter. | Yes | drfrostmaths.com/keyskills.php?ksid=291 | drfrostmaths.com/videos.php?ksid=291 |

Key Skill | K292 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the radius of a circle given its area. | Yes | drfrostmaths.com/keyskills.php?ksid=292 | drfrostmaths.com/videos.php?ksid=292 |

Key Skill | K293 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of a simple fraction of a circle. | Yes | drfrostmaths.com/keyskills.php?ksid=293 | drfrostmaths.com/videos.php?ksid=293 |

Key Skill | K294 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a simple fraction of a circle. | Yes | drfrostmaths.com/keyskills.php?ksid=294 | drfrostmaths.com/videos.php?ksid=294 |

Key Skill | K295 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know key terms in relation to circles. | Yes | drfrostmaths.com/keyskills.php?ksid=295 | drfrostmaths.com/videos.php?ksid=295 |

Key Skill | K296 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a parallelogram. | Yes | drfrostmaths.com/keyskills.php?ksid=296 | drfrostmaths.com/videos.php?ksid=296 |

Key Skill | K297 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the base or height of a parallelogram given its area. | Yes | drfrostmaths.com/keyskills.php?ksid=297 | drfrostmaths.com/videos.php?ksid=297 |

Key Skill | K298 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a parallelogram given the base, the height and another length. | Yes | drfrostmaths.com/keyskills.php?ksid=298 | |

Key Skill | K299 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a trapezium. | Yes | drfrostmaths.com/keyskills.php?ksid=299 | drfrostmaths.com/videos.php?ksid=299 |

Key Skill | K300 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find a length in a trapezium given its area. | Yes | drfrostmaths.com/keyskills.php?ksid=300 | drfrostmaths.com/videos.php?ksid=300 |

Key Skill | K301 | KS3/4 | Shape, Space & Measures | Angles | Angles in an isosceles triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=301 | drfrostmaths.com/videos.php?ksid=301 |

Key Skill | K302 | KS3/4 | Shape, Space & Measures | Angles | Find an angle in an isosceles triangle using angles on parallel lines. | Yes | drfrostmaths.com/keyskills.php?ksid=302 | drfrostmaths.com/videos.php?ksid=302 |

Key Skill | K303 | KS3/4 | Shape, Space & Measures | Angles | Identify pairs of perpendicular and parallel lines. | Yes | drfrostmaths.com/keyskills.php?ksid=303 | drfrostmaths.com/videos.php?ksid=303 |

Key Skill | K304 | KS3/4 | Shape, Space & Measures | Angles | Recognise alternate, corresponding and cointerior (allied) angles. | Yes | drfrostmaths.com/keyskills.php?ksid=304 | |

Key Skill | K305 | KS3/4 | Shape, Space & Measures | Angles | Alternate angles on parallel lines. | Yes | drfrostmaths.com/keyskills.php?ksid=305 | drfrostmaths.com/videos.php?ksid=305 |

Key Skill | K306 | KS3/4 | Shape, Space & Measures | Angles | Corresponding angles on parallel lines. | Yes | drfrostmaths.com/keyskills.php?ksid=306 | drfrostmaths.com/videos.php?ksid=306 |

Key Skill | K307 | KS3/4 | Shape, Space & Measures | Angles | Vertically opposite angles. | Yes | drfrostmaths.com/keyskills.php?ksid=307 | drfrostmaths.com/videos.php?ksid=307 |

Key Skill | K308 | KS3/4 | Shape, Space & Measures | Angles | Cointerior (allied) angles on parallel lines. | Yes | drfrostmaths.com/keyskills.php?ksid=308 | drfrostmaths.com/videos.php?ksid=308 |

Key Skill | K309 | KS3/4 | Shape, Space & Measures | Angles | Angles in a quadrilateral. | Yes | drfrostmaths.com/keyskills.php?ksid=309 | drfrostmaths.com/videos.php?ksid=309 |

Key Skill | K310 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cuboid by counting cubes. | Yes | drfrostmaths.com/keyskills.php?ksid=310 | drfrostmaths.com/videos.php?ksid=310 |

Key Skill | K311 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cuboid. | Yes | drfrostmaths.com/keyskills.php?ksid=311 | drfrostmaths.com/videos.php?ksid=311 |

Key Skill | K312 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find a missing dimension of a cuboid given its volume. | Yes | drfrostmaths.com/keyskills.php?ksid=312 | drfrostmaths.com/videos.php?ksid=312 |

Key Skill | K313 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a prism. | Yes | drfrostmaths.com/keyskills.php?ksid=313 | drfrostmaths.com/videos.php?ksid=313 |

Key Skill | K314 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a prism. | Yes | drfrostmaths.com/keyskills.php?ksid=314 | drfrostmaths.com/videos.php?ksid=314 |

Key Skill | K315 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cuboid. | Yes | drfrostmaths.com/keyskills.php?ksid=315 | drfrostmaths.com/videos.php?ksid=315 |

Key Skill | K316 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cylinder from its radius and height. | Yes | drfrostmaths.com/keyskills.php?ksid=316 | drfrostmaths.com/videos.php?ksid=316 |

Key Skill | K317 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cylinder from its diameter and height. | Yes | drfrostmaths.com/keyskills.php?ksid=317 | drfrostmaths.com/videos.php?ksid=317 |

Key Skill | K318 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cylinder from its radius and height. | Yes | drfrostmaths.com/keyskills.php?ksid=318 | drfrostmaths.com/videos.php?ksid=318 |

Key Skill | K319 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cylinder from its diameter and height. | Yes | drfrostmaths.com/keyskills.php?ksid=319 | drfrostmaths.com/videos.php?ksid=319 |

Key Skill | K320 | KS3/4 | Shape, Space & Measures | Coordinates | Find the midpoint of two points. | Yes | drfrostmaths.com/keyskills.php?ksid=320 | drfrostmaths.com/videos.php?ksid=320 |

Key Skill | K321 | KS3/4 | Shape, Space & Measures | Coordinates | Find the coordinates of a point that shares a line in a ratio. | Yes | drfrostmaths.com/keyskills.php?ksid=321 | drfrostmaths.com/videos.php?ksid=321 |

Key Skill | K322 | KS3/4 | Shape, Space & Measures | Coordinates | Find a coordinate given another and their midpoint. | Yes | drfrostmaths.com/keyskills.php?ksid=322 | drfrostmaths.com/videos.php?ksid=322 |

Key Skill | K323 | KS3/4 | Shape, Space & Measures | Angles | TODO Know and use compass directions. | Yes | drfrostmaths.com/keyskills.php?ksid=323 | |

Key Skill | K324 | KS3/4 | Shape, Space & Measures | Angles | Calculate a bearing given an angle. | Yes | drfrostmaths.com/keyskills.php?ksid=324 | drfrostmaths.com/videos.php?ksid=324 |

Key Skill | K325 | KS3/4 | Shape, Space & Measures | Angles | Calculate a bearing with parallel lines. | Yes | drfrostmaths.com/keyskills.php?ksid=325 | drfrostmaths.com/videos.php?ksid=325 |

Key Skill | K326 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Construct distance-time graphs. | Yes | drfrostmaths.com/keyskills.php?ksid=326 | drfrostmaths.com/videos.php?ksid=326 |

Key Skill | K327 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | TODO Determine the velocity from a distance-time graph. | Yes | drfrostmaths.com/keyskills.php?ksid=327 | |

Key Skill | K328 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert between imperial and metric measures of distance. | Yes | drfrostmaths.com/keyskills.php?ksid=328 | drfrostmaths.com/videos.php?ksid=328 |

Key Skill | K329 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | TODO Convert between imperial and metric measures of mass. | Yes | drfrostmaths.com/keyskills.php?ksid=329 | |

Key Skill | K330 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | TODO Convert between imperial and metric measures of capacity. | Yes | drfrostmaths.com/keyskills.php?ksid=330 | |

Key Skill | K331 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | TODO Convert between imperial measures. | Yes | drfrostmaths.com/keyskills.php?ksid=331 | |

Key Skill | K332 | KS3/4 | Algebra | Solving Equations | Form and solve an equation from the perimeter of a 2D shape. | Yes | drfrostmaths.com/keyskills.php?ksid=332 | drfrostmaths.com/videos.php?ksid=332 |

Key Skill | K333 | KS3/4 | Shape, Space & Measures | 3D Shapes | TODO Know the terms face, edge and vertex. | Yes | drfrostmaths.com/keyskills.php?ksid=333 | |

Key Skill | K334 | KS3/4 | Shape, Space & Measures | 3D Shapes | Know the names of 3D shapes. | Yes | drfrostmaths.com/keyskills.php?ksid=334 | drfrostmaths.com/videos.php?ksid=334 |

Key Skill | K335 | KS3/4 | Shape, Space & Measures | 3D Shapes | TODO Understand the definition of different 3D shapes and their properties. | Yes | drfrostmaths.com/keyskills.php?ksid=335 | |

Key Skill | K336 | KS3/4 | Shape, Space & Measures | 3D Shapes | TODO Identify a 3D shape from its net. | Yes | drfrostmaths.com/keyskills.php?ksid=336 | |

Key Skill | K337 | KS3/4 | Shape, Space & Measures | 3D Shapes | TODO Find the number of edges, faces and vertices of a 3D shape given its net. | Yes | drfrostmaths.com/keyskills.php?ksid=337 | |

Key Skill | K338 | KS3/4 | Number | Negative Numbers | Compare two integers that are possibly negative. | Yes | drfrostmaths.com/keyskills.php?ksid=338 | |

Key Skill | K339 | KS3/4 | Number | Decimals | Compare two decimal numbers using ||=||, ||\ne||, ||<|| or ||>||. | Yes | drfrostmaths.com/keyskills.php?ksid=339 | |

Key Skill | K340 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Compare two fractions using ||=||, ||\ne||, ||<|| or ||>||. | Yes | drfrostmaths.com/keyskills.php?ksid=340 | |

Key Skill | K341 | KS3/4 | Algebra | Inequalities | Represent an inequality on a number line. | Yes | drfrostmaths.com/keyskills.php?ksid=341 | |

Key Skill | K342 | KS3/4 | Algebra | Inequalities | Interpret an inequality represented on a number line. | Yes | drfrostmaths.com/keyskills.php?ksid=342 | drfrostmaths.com/videos.php?ksid=342 |

Key Skill | K343 | KS3/4 | Algebra | Inequalities | Solve a linear inequality. | Yes | drfrostmaths.com/keyskills.php?ksid=343 | drfrostmaths.com/videos.php?ksid=343 |

Key Skill | K344 | KS3/4 | Algebra | Inequalities | Solve a linear inequality where the coefficient of ||x|| is negative. | Yes | drfrostmaths.com/keyskills.php?ksid=344 | |

Key Skill | K345 | KS3/4 | Algebra | Inequalities | Solve a linear inequality with the unknown on both sides. | Yes | drfrostmaths.com/keyskills.php?ksid=345 | drfrostmaths.com/videos.php?ksid=345 |

Key Skill | K346 | KS3/4 | Algebra | Inequalities | Solve a two-ended inequality with a single step. | Yes | drfrostmaths.com/keyskills.php?ksid=346 | drfrostmaths.com/videos.php?ksid=346 |

Key Skill | K347 | KS3/4 | Algebra | Inequalities | Solve a two-ended inequality with two steps. | Yes | drfrostmaths.com/keyskills.php?ksid=347 | drfrostmaths.com/videos.php?ksid=347 |

Key Skill | K348 | KS3/4 | Algebra | Factorising | Factorise by taking a common numeric factor out. | Yes | drfrostmaths.com/keyskills.php?ksid=348 | drfrostmaths.com/videos.php?ksid=348 |

Key Skill | K349 | KS3/4 | Algebra | Factorising | Factorise by taking an algebraic factor out with single variable. | Yes | drfrostmaths.com/keyskills.php?ksid=349 | drfrostmaths.com/videos.php?ksid=349 |

Key Skill | K350 | KS3/4 | Algebra | Factorising | Factorise by taking a common algebraic factor out involving index laws. | Yes | drfrostmaths.com/keyskills.php?ksid=350 | drfrostmaths.com/videos.php?ksid=350 |

Key Skill | K351 | KS3/4 | Algebra | Expanding Brackets | Expand two brackets with simple coefficients. | Yes | drfrostmaths.com/keyskills.php?ksid=351 | drfrostmaths.com/videos.php?ksid=351 |

Key Skill | K352 | KS3/4 | Algebra | Expanding Brackets | Expand two brackets with more general coefficients. | Yes | drfrostmaths.com/keyskills.php?ksid=352 | drfrostmaths.com/videos.php?ksid=352 |

Key Skill | K353 | KS3/4 | Algebra | Expanding Brackets | Expand an expression in the form ||(x+a)^2||. | Yes | drfrostmaths.com/keyskills.php?ksid=353 | drfrostmaths.com/videos.php?ksid=353 |

Key Skill | K354 | KS3/4 | Algebra | Expanding Brackets | Expand two brackets in the form ||(x-a)(x+a)||. | Yes | drfrostmaths.com/keyskills.php?ksid=354 | drfrostmaths.com/videos.php?ksid=354 |

Key Skill | K355 | KS3/4 | Algebra | Expanding Brackets | Expand expressions of the form ||(ax+b)(cx+d) - (ex+f)(gx+h)||. | Yes | drfrostmaths.com/keyskills.php?ksid=355 | drfrostmaths.com/videos.php?ksid=355 |

Key Skill | K356 | KS3/4 | Algebra | Expanding Brackets | Expand double brackets with subsequent simplification required. | Yes | drfrostmaths.com/keyskills.php?ksid=356 | drfrostmaths.com/videos.php?ksid=356 |

Key Skill | K357 | KS3/4 | Algebra | Expanding Brackets | Expand three brackets. | Yes | drfrostmaths.com/keyskills.php?ksid=357 | drfrostmaths.com/videos.php?ksid=357 |

Key Skill | K358 | KS3/4 | Algebra | Expanding Brackets | Expand an expression in the form ||(x+a)^3||. | Yes | drfrostmaths.com/keyskills.php?ksid=358 | drfrostmaths.com/videos.php?ksid=358 |

Key Skill | K359 | KS3/4 | Algebra | Changing the Subject | Change the subject of a linear formula requiring a single step. | Yes | drfrostmaths.com/keyskills.php?ksid=359 | drfrostmaths.com/videos.php?ksid=359 |

Key Skill | K360 | KS3/4 | Algebra | Changing the Subject | Change the subject of a linear formula requiring two steps. | Yes | drfrostmaths.com/keyskills.php?ksid=360 | drfrostmaths.com/videos.php?ksid=360 |

Key Skill | K361 | KS3/4 | Algebra | Changing the Subject | Change the subject of a linear formula with brackets. | Yes | drfrostmaths.com/keyskills.php?ksid=361 | drfrostmaths.com/videos.php?ksid=361 |

Key Skill | K362 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula with fractions. | Yes | drfrostmaths.com/keyskills.php?ksid=362 | drfrostmaths.com/videos.php?ksid=362 |

Key Skill | K363 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject is squared. | Yes | drfrostmaths.com/keyskills.php?ksid=363 | drfrostmaths.com/videos.php?ksid=363 |

Key Skill | K364 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula with a square root. | Yes | drfrostmaths.com/keyskills.php?ksid=364 | drfrostmaths.com/videos.php?ksid=364 |

Key Skill | K365 | KS3/4 | Algebra | Functions | Find the output of a function machine. | Yes | drfrostmaths.com/keyskills.php?ksid=365 | drfrostmaths.com/videos.php?ksid=365 |

Key Skill | K366 | KS3/4 | Algebra | Functions | Find the input of a function machine. | Yes | drfrostmaths.com/keyskills.php?ksid=366 | drfrostmaths.com/videos.php?ksid=366 |

Key Skill | K367 | KS3/4 | Algebra | Solving Equations | Solve a linear equation with the unknown on both sides. | Yes | drfrostmaths.com/keyskills.php?ksid=367 | drfrostmaths.com/videos.php?ksid=367 |

Key Skill | K368 | KS3/4 | Algebra | Solving Equations | Solve a linear equation with unknowns and brackets on both sides. | Yes | drfrostmaths.com/keyskills.php?ksid=368 | drfrostmaths.com/videos.php?ksid=368 |

Key Skill | K369 | KS3/4 | Algebra | Solving Equations | Solve a linear equation with unknowns and brackets on both sides requiring simplification. | Yes | drfrostmaths.com/keyskills.php?ksid=369 | drfrostmaths.com/videos.php?ksid=369 |

Key Skill | K370 | KS3/4 | Algebra | Solving Equations | Solve a two-step equation with possible negative coefficient of the unknown. | Yes | drfrostmaths.com/keyskills.php?ksid=370 | drfrostmaths.com/videos.php?ksid=370 |

Key Skill | K371 | KS3/4 | Algebra | Solving Equations | Solve an equation with one fraction equals to a linear expression. | Yes | drfrostmaths.com/keyskills.php?ksid=371 | drfrostmaths.com/videos.php?ksid=371 |

Key Skill | K372 | KS3/4 | Algebra | Solving Equations | TODO Solve an equation with brackets and requiring simplification, with the variable on one side. | Yes | drfrostmaths.com/keyskills.php?ksid=372 | |

Key Skill | K373 | KS3/4 | Algebra | Solving Equations | Solve an equation with one fraction equal to another fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=373 | drfrostmaths.com/videos.php?ksid=373 |

Key Skill | K374 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations using graphical methods. | Yes | drfrostmaths.com/keyskills.php?ksid=374 | |

Key Skill | K375 | KS3/4 | Algebra | Simultaneous Equations | Appreciate that the solution to two linear simultaneous equations gives a point of intersection. | Yes | drfrostmaths.com/keyskills.php?ksid=375 | |

Key Skill | K376 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations where one unknown has equal positive coefficients. | Yes | drfrostmaths.com/keyskills.php?ksid=376 | drfrostmaths.com/videos.php?ksid=376 |

Key Skill | K377 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations where one unknown has equal coefficients with different signs. | Yes | drfrostmaths.com/keyskills.php?ksid=377 | drfrostmaths.com/videos.php?ksid=377 |

Key Skill | K378 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations with unequal coefficients where the unknowns have the same signs. | Yes | drfrostmaths.com/keyskills.php?ksid=378 | drfrostmaths.com/videos.php?ksid=378 |

Key Skill | K379 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations with unequal coefficients where the second unknowns have different signs. | Yes | drfrostmaths.com/keyskills.php?ksid=379 | drfrostmaths.com/videos.php?ksid=379 |

Key Skill | K380 | KS3/4 | Algebra | Simultaneous Equations | Form and solve simultaneous equations from written information. | Yes | drfrostmaths.com/keyskills.php?ksid=380 | drfrostmaths.com/videos.php?ksid=380 |

Key Skill | K381 | KS3/4 | Algebra | Factorising | Factorise quadratics of the form ||x^2 + bx + c||. | Yes | drfrostmaths.com/keyskills.php?ksid=381 | drfrostmaths.com/videos.php?ksid=381 |

Key Skill | K382 | KS3/4 | Algebra | Factorising | Factorise quadratics of the form ||x^2 - bx + c||. | Yes | drfrostmaths.com/keyskills.php?ksid=382 | drfrostmaths.com/videos.php?ksid=382 |

Key Skill | K383 | KS3/4 | Algebra | Factorising | Factorise quadratics of the form ||x^2 \pm bx - c||. | Yes | drfrostmaths.com/keyskills.php?ksid=383 | drfrostmaths.com/videos.php?ksid=383 |

Key Skill | K384 | KS3/4 | Algebra | Factorising | Factorise quadratics of the form ||x^2 \pm bx \pm c||. | Yes | drfrostmaths.com/keyskills.php?ksid=384 | drfrostmaths.com/videos.php?ksid=384 |

Key Skill | K385 | KS3/4 | Algebra | Factorising | Factorise the difference of two squares. | Yes | drfrostmaths.com/keyskills.php?ksid=385 | drfrostmaths.com/videos.php?ksid=385 |

Key Skill | K386 | KS3/4 | Algebra | Factorising | Factorise the difference of two squares after taking a common factor out. | Yes | drfrostmaths.com/keyskills.php?ksid=386 | drfrostmaths.com/videos.php?ksid=386 |

Key Skill | K387 | KS3/4 | Algebra | Factorising | Factorise quadratics of the form ||ax^2+bx+c||. | Yes | drfrostmaths.com/keyskills.php?ksid=387 | drfrostmaths.com/videos.php?ksid=387 |

Key Skill | K388 | KS3/4 | Algebra | Straight Line Graphs | Complete a table of values for a linear graph. | Yes | drfrostmaths.com/keyskills.php?ksid=388 | drfrostmaths.com/videos.php?ksid=388 |

Key Skill | K389 | KS3/4 | Algebra | Straight Line Graphs | Draw a horizontal, vertical or diagonal line. | Yes | drfrostmaths.com/keyskills.php?ksid=389 | drfrostmaths.com/videos.php?ksid=389 |

Key Skill | K390 | KS3/4 | Algebra | Straight Line Graphs | Draw a line from its equation when the gradient is positive. | Yes | drfrostmaths.com/keyskills.php?ksid=390 | drfrostmaths.com/videos.php?ksid=390 |

Key Skill | K391 | KS3/4 | Algebra | Straight Line Graphs | Draw a line from its equation when the gradient is negative. | Yes | drfrostmaths.com/keyskills.php?ksid=391 | drfrostmaths.com/videos.php?ksid=391 |

Key Skill | K392 | KS3/4 | Algebra | Straight Line Graphs | Draw a line from its equation when the gradient is a fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=392 | drfrostmaths.com/videos.php?ksid=392 |

Key Skill | K393 | KS3/4 | Algebra | Straight Line Graphs | Draw a line with an equation in the form ||ax+by=c||. | Yes | drfrostmaths.com/keyskills.php?ksid=393 | drfrostmaths.com/videos.php?ksid=393 |

Key Skill | K394 | KS3/4 | Algebra | Straight Line Graphs | Determine whether a point lies on a line given its equation. | Yes | drfrostmaths.com/keyskills.php?ksid=394 | drfrostmaths.com/videos.php?ksid=394 |

Key Skill | K395 | KS3/4 | Algebra | Straight Line Graphs | Determine the coordinate of the ||x|| or ||y|| intercept of a straight line given its equation. | Yes | drfrostmaths.com/keyskills.php?ksid=395 | drfrostmaths.com/videos.php?ksid=395 |

Key Skill | K396 | KS3/4 | Algebra | Straight Line Graphs | Find the gradient of a straight line which is drawn. | Yes | drfrostmaths.com/keyskills.php?ksid=396 | drfrostmaths.com/videos.php?ksid=396 |

Key Skill | K397 | KS3/4 | Algebra | Straight Line Graphs | Find the gradient of a line given two coordinates. | Yes | drfrostmaths.com/keyskills.php?ksid=397 | drfrostmaths.com/videos.php?ksid=397 |

Key Skill | K398 | KS3/4 | Algebra | Straight Line Graphs | Find the gradient or ||y||-intercept of a line given its equation in the form ||y=mx+c||. | Yes | drfrostmaths.com/keyskills.php?ksid=398 | drfrostmaths.com/videos.php?ksid=398 |

Key Skill | K399 | KS3/4 | Algebra | Straight Line Graphs | Find the y-intercept of a straight line which is drawn. | Yes | drfrostmaths.com/keyskills.php?ksid=399 | drfrostmaths.com/videos.php?ksid=399 |

Key Skill | K400 | KS3/4 | Algebra | Straight Line Graphs | Find an equation of a horizontal, vertical or diagonal line. | Yes | drfrostmaths.com/keyskills.php?ksid=400 | drfrostmaths.com/videos.php?ksid=400 |

Key Skill | K401 | KS3/4 | Algebra | Straight Line Graphs | Find an equation of a straight line which is drawn. | Yes | drfrostmaths.com/keyskills.php?ksid=401 | drfrostmaths.com/videos.php?ksid=401 |

Key Skill | K402 | KS3/4 | Algebra | Straight Line Graphs | Find an equation of a straight line given its gradient and a point. | Yes | drfrostmaths.com/keyskills.php?ksid=402 | drfrostmaths.com/videos.php?ksid=402 |

Key Skill | K403 | KS3/4 | Algebra | Straight Line Graphs | Find an equation of a straight line given two points. | Yes | drfrostmaths.com/keyskills.php?ksid=403 | drfrostmaths.com/videos.php?ksid=403 |

Key Skill | K404 | KS3/4 | Algebra | Straight Line Graphs | Find the gradient or ||y||-intercept of a line given its equation in the form ||px+qy=r||. | Yes | drfrostmaths.com/keyskills.php?ksid=404 | drfrostmaths.com/videos.php?ksid=404 |

Key Skill | K405 | KS3/4 | Algebra | Straight Line Graphs | Find an equation of a line parallel to another. | Yes | drfrostmaths.com/keyskills.php?ksid=405 | drfrostmaths.com/videos.php?ksid=405 |

Key Skill | K406 | KS3/4 | Algebra | Sequences | Determine the nth term formula of a quadratic sequence. | Yes | drfrostmaths.com/keyskills.php?ksid=406 | drfrostmaths.com/videos.php?ksid=406 |

Key Skill | K407 | KS3/4 | Algebra | Sequences | Determine the nth term of a geometric sequence. | Yes | drfrostmaths.com/keyskills.php?ksid=407 | drfrostmaths.com/videos.php?ksid=407 |

Key Skill | K408 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Add and subtract algebraic fractions with integer denominators. | Yes | drfrostmaths.com/keyskills.php?ksid=408 | drfrostmaths.com/videos.php?ksid=408 |

Key Skill | K409 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Multiply algebraic fractions with single terms on the numerators and denominators. | Yes | drfrostmaths.com/keyskills.php?ksid=409 | drfrostmaths.com/videos.php?ksid=409 |

Key Skill | K410 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Divide algebraic fractions with single terms on the numerators and denominators. | Yes | drfrostmaths.com/keyskills.php?ksid=410 | drfrostmaths.com/videos.php?ksid=410 |

Key Skill | K411 | KS3/4 | Algebra | Formulae and Simplifying Expressions | TODO Simplify a factorised algebraic fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=411 | |

Key Skill | K412 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Simplify algebraic fractions where factorisation of one of the numerator or denominator is required. | Yes | drfrostmaths.com/keyskills.php?ksid=412 | drfrostmaths.com/videos.php?ksid=412 |

Key Skill | K413 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Simplify algebraic fractions where factorisation of both the numerator and denominator is required. | Yes | drfrostmaths.com/keyskills.php?ksid=413 | drfrostmaths.com/videos.php?ksid=413 |

Key Skill | K414 | KS3/4 | Algebra | Curved Graphs | Complete a table of values for a quadratic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=414 | drfrostmaths.com/videos.php?ksid=414 |

Key Skill | K415 | KS3/4 | Algebra | Curved Graphs | Plot a quadratic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=415 | drfrostmaths.com/videos.php?ksid=415 |

Key Skill | K416 | KS3/4 | Algebra | Curved Graphs | Plot a cubic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=416 | drfrostmaths.com/videos.php?ksid=416 |

Key Skill | K417 | KS3/4 | Algebra | Curved Graphs | Plot the graph of a circle centred at the origin. | Yes | drfrostmaths.com/keyskills.php?ksid=417 | drfrostmaths.com/videos.php?ksid=417 |

Key Skill | K418 | KS3/4 | Algebra | Curved Graphs | Find an equation of a circle centred at the origin which is drawn. | Yes | drfrostmaths.com/keyskills.php?ksid=418 | drfrostmaths.com/videos.php?ksid=418 |

Key Skill | K419 | KS3/4 | Algebra | Curved Graphs | Find an equation of a circle centred at the origin given its radius. | Yes | drfrostmaths.com/keyskills.php?ksid=419 | drfrostmaths.com/videos.php?ksid=419 |

Key Skill | K420 | KS3/4 | Algebra | Curved Graphs | Find the radius of a circle given its equation. | Yes | drfrostmaths.com/keyskills.php?ksid=420 | drfrostmaths.com/videos.php?ksid=420 |

Key Skill | K421 | KS3/4 | Algebra | Curved Graphs | Find the ||y||-intercept of a quadratic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=421 | |

Key Skill | K422 | KS3/4 | Algebra | Curved Graphs | Find the ||x||-intercepts of a quadratic graph with equation in the form ||y=x^2+bx+c||. | Yes | drfrostmaths.com/keyskills.php?ksid=422 | |

Key Skill | K423 | KS3/4 | Algebra | Curved Graphs | Find the ||x||-intercepts of a quadratic graph with equation in the form ||y=ax^2+bx+c||. | Yes | drfrostmaths.com/keyskills.php?ksid=423 | |

Key Skill | K424 | KS3/4 | Number | Percentages | Find a value before a percentage change. | Yes | drfrostmaths.com/keyskills.php?ksid=424 | drfrostmaths.com/videos.php?ksid=424 |

Key Skill | K425 | KS3/4 | Number | Percentages | Find a value before a percentage was taken. | Yes | drfrostmaths.com/keyskills.php?ksid=425 | drfrostmaths.com/videos.php?ksid=425 |

Key Skill | K426 | KS3/4 | Number | Percentages | Calculate simple interest. | Yes | drfrostmaths.com/keyskills.php?ksid=426 | drfrostmaths.com/videos.php?ksid=426 |

Key Skill | K427 | KS3/4 | Number | Percentages | Calculate a value after a compound percentage increase. | Yes | drfrostmaths.com/keyskills.php?ksid=427 | drfrostmaths.com/videos.php?ksid=427 |

Key Skill | K428 | KS3/4 | Number | Percentages | Calculate a value after a compound percentage decrease. | Yes | drfrostmaths.com/keyskills.php?ksid=428 | drfrostmaths.com/videos.php?ksid=428 |

Key Skill | K429 | KS3/4 | Number | Percentages | Determine the number of years before a value increases to a given value given some known compound percentage increase. | Yes | drfrostmaths.com/keyskills.php?ksid=429 | drfrostmaths.com/videos.php?ksid=429 |

Key Skill | K430 | KS3/4 | Number | Percentages | Determine the number of years before a value increases to some multiple given some known compound percentage increase. | Yes | drfrostmaths.com/keyskills.php?ksid=430 | drfrostmaths.com/videos.php?ksid=430 |

Key Skill | K431 | KS3/4 | Number | Percentages | TODO Determine each percentage change given a compound change and the start and end amounts. | Yes | drfrostmaths.com/keyskills.php?ksid=431 | |

Key Skill | K432 | KS3/4 | Number | Powers, Roots & Laws of Indices | Laws of indices for multiplying powers. | Yes | drfrostmaths.com/keyskills.php?ksid=432 | drfrostmaths.com/videos.php?ksid=432 |

Key Skill | K433 | KS3/4 | Number | Powers, Roots & Laws of Indices | Laws of indices for dividing powers. | Yes | drfrostmaths.com/keyskills.php?ksid=433 | drfrostmaths.com/videos.php?ksid=433 |

Key Skill | K434 | KS3/4 | Number | Powers, Roots & Laws of Indices | Laws of indices for raising a power to a power. | Yes | drfrostmaths.com/keyskills.php?ksid=434 | drfrostmaths.com/videos.php?ksid=434 |

Key Skill | K435 | KS3/4 | Algebra | Expanding Brackets | Expand a single bracket using index laws. | Yes | drfrostmaths.com/keyskills.php?ksid=435 | drfrostmaths.com/videos.php?ksid=435 |

Key Skill | K436 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise a number to a negative power. | Yes | drfrostmaths.com/keyskills.php?ksid=436 | drfrostmaths.com/videos.php?ksid=436 |

Key Skill | K437 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise a fraction to a negative power. | Yes | drfrostmaths.com/keyskills.php?ksid=437 | drfrostmaths.com/videos.php?ksid=437 |

Key Skill | K438 | KS3/4 | Number | Powers, Roots & Laws of Indices | Determine an unknown power e.g. ||2^y = \frac{1}{8}||. | Yes | drfrostmaths.com/keyskills.php?ksid=438 | drfrostmaths.com/videos.php?ksid=438 |

Key Skill | K439 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise an algebraic term to a positive integer power. | Yes | drfrostmaths.com/keyskills.php?ksid=439 | drfrostmaths.com/videos.php?ksid=439 |

Key Skill | K440 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise an algebraic term to a negative power. | Yes | drfrostmaths.com/keyskills.php?ksid=440 | drfrostmaths.com/videos.php?ksid=440 |

Key Skill | K441 | KS3/4 | Number | Powers, Roots & Laws of Indices | Calculate an integer power of an integer which is possibly negative. | Yes | drfrostmaths.com/keyskills.php?ksid=441 | |

Key Skill | K442 | KS3/4 | Number | Powers, Roots & Laws of Indices | Calculate an integer power of a fraction which is possibly negative. | Yes | drfrostmaths.com/keyskills.php?ksid=442 | |

Key Skill | K443 | KS3/4 | Number | Standard Form | Order numbers in standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=443 | |

Key Skill | K444 | KS3/4 | Number | Standard Form | Convert a large number to standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=444 | drfrostmaths.com/videos.php?ksid=444 |

Key Skill | K445 | KS3/4 | Number | Standard Form | Convert a small number to standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=445 | drfrostmaths.com/videos.php?ksid=445 |

Key Skill | K446 | KS3/4 | Number | Standard Form | Convert a number in standard form to a normal number. | Yes | drfrostmaths.com/keyskills.php?ksid=446 | drfrostmaths.com/videos.php?ksid=446 |

Key Skill | K447 | KS3/4 | Number | Standard Form | Convert a number in the form ||a × 10^b|| to standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=447 | drfrostmaths.com/videos.php?ksid=447 |

Key Skill | K448 | KS3/4 | Number | Standard Form | Add or subtract large numbers in standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=448 | drfrostmaths.com/videos.php?ksid=448 |

Key Skill | K449 | KS3/4 | Number | Standard Form | Add or subtract small numbers in standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=449 | drfrostmaths.com/videos.php?ksid=449 |

Key Skill | K450 | KS3/4 | Number | Standard Form | Multiply numbers in standard form. | Yes | drfrostmaths.com/keyskills.php?ksid=450 | drfrostmaths.com/videos.php?ksid=450 |

Key Skill | K451 | KS3/4 | Number | Standard Form | Divide numbers in standard form with positive powers. | Yes | drfrostmaths.com/keyskills.php?ksid=451 | drfrostmaths.com/videos.php?ksid=451 |

Key Skill | K452 | KS3/4 | Number | Standard Form | Divide numbers in standard form with positive and negative powers. | Yes | drfrostmaths.com/keyskills.php?ksid=452 | drfrostmaths.com/videos.php?ksid=452 |

Key Skill | K453 | KS3/4 | Number | Rounding & Estimation | Calculate bounds of a number rounded to the nearest 1, 10, 100, 1000. | Yes | drfrostmaths.com/keyskills.php?ksid=453 | drfrostmaths.com/videos.php?ksid=453 |

Key Skill | K454 | KS3/4 | Number | Rounding & Estimation | Calculate bounds of a number rounded to a given number of decimal places. | Yes | drfrostmaths.com/keyskills.php?ksid=454 | drfrostmaths.com/videos.php?ksid=454 |

Key Skill | K455 | KS3/4 | Number | Rounding & Estimation | Calculate bounds of a number rounded to a given number of significant figures. | Yes | drfrostmaths.com/keyskills.php?ksid=455 | drfrostmaths.com/videos.php?ksid=455 |

Key Skill | K456 | KS3/4 | Number | Rounding & Estimation | Find the error interval of a rounded number. | Yes | drfrostmaths.com/keyskills.php?ksid=456 | drfrostmaths.com/videos.php?ksid=456 |

Key Skill | K457 | KS3/4 | Number | Rounding & Estimation | Truncate a number to a given number of decimal places or to a whole number. | Yes | drfrostmaths.com/keyskills.php?ksid=457 | drfrostmaths.com/videos.php?ksid=457 |

Key Skill | K458 | KS3/4 | Number | Rounding & Estimation | Calculate bounds of a number truncated to a given number of decimal places. | Yes | drfrostmaths.com/keyskills.php?ksid=458 | drfrostmaths.com/videos.php?ksid=458 |

Key Skill | K459 | KS3/4 | Number | Rounding & Estimation | Calculate a further bound for a given formula involving an addition. | Yes | drfrostmaths.com/keyskills.php?ksid=459 | drfrostmaths.com/videos.php?ksid=459 |

Key Skill | K460 | KS3/4 | Number | Rounding & Estimation | Calculate a further bound for a given formula involving a multiplication. | Yes | drfrostmaths.com/keyskills.php?ksid=460 | drfrostmaths.com/videos.php?ksid=460 |

Key Skill | K461 | KS3/4 | Number | Rounding & Estimation | Calculate a further bound for a given formula involving a subtraction. | Yes | drfrostmaths.com/keyskills.php?ksid=461 | drfrostmaths.com/videos.php?ksid=461 |

Key Skill | K462 | KS3/4 | Number | Rounding & Estimation | Calculate a further bound for a given formula involving a division. | Yes | drfrostmaths.com/keyskills.php?ksid=462 | drfrostmaths.com/videos.php?ksid=462 |

Key Skill | K463 | KS3/4 | Number | Rounding & Estimation | Calculate a further bound for a given formula involving multiple arithmetic operations. | Yes | drfrostmaths.com/keyskills.php?ksid=463 | drfrostmaths.com/videos.php?ksid=463 |

Key Skill | K464 | KS3/4 | Number | Rounding & Estimation | Calculate a further bound and specify the value to a suitable degree of accuracy. | Yes | drfrostmaths.com/keyskills.php?ksid=464 | drfrostmaths.com/videos.php?ksid=464 |

Key Skill | K465 | KS3/4 | Number | Sets | Construct a Venn diagram with 2 sets. | Yes | drfrostmaths.com/keyskills.php?ksid=465 | drfrostmaths.com/videos.php?ksid=465 |

Key Skill | K466 | KS3/4 | Number | Sets | Construct a Venn diagram with 3 sets. | Yes | drfrostmaths.com/keyskills.php?ksid=466 | drfrostmaths.com/videos.php?ksid=466 |

Key Skill | K467 | KS3/4 | Number | Sets | Describe a shaded region on a Venn diagram using set notation. | Yes | drfrostmaths.com/keyskills.php?ksid=467 | drfrostmaths.com/videos.php?ksid=467 |

Key Skill | K468 | KS3/4 | Number | Sets | Use set notation to calculate probabilities. | Yes | drfrostmaths.com/keyskills.php?ksid=468 | drfrostmaths.com/videos.php?ksid=468 |

Key Skill | K469 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert from a recurring decimal to a fraction with a single digit recurring. | Yes | drfrostmaths.com/keyskills.php?ksid=469 | drfrostmaths.com/videos.php?ksid=469 |

Key Skill | K470 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert from a recurring decimal to a fraction with a 2 or more digits recurring. | Yes | drfrostmaths.com/keyskills.php?ksid=470 | drfrostmaths.com/videos.php?ksid=470 |

Key Skill | K471 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert from a recurring decimal to a fraction where some digits don't recur. | Yes | drfrostmaths.com/keyskills.php?ksid=471 | drfrostmaths.com/videos.php?ksid=471 |

Key Skill | K472 | KS3/4 | Number | Ratio & Proportion | Establish the constant of proportionality for variables which are directly proportional. | Yes | drfrostmaths.com/keyskills.php?ksid=472 | drfrostmaths.com/videos.php?ksid=472 |

Key Skill | K473 | KS3/4 | Number | Ratio & Proportion | Establish the constant of proportionality for variables which are directly proportional involving powers/roots. | Yes | drfrostmaths.com/keyskills.php?ksid=473 | |

Key Skill | K474 | KS3/4 | Number | Ratio & Proportion | Establish the constant of proportionality for variables which are inversely proportional. | Yes | drfrostmaths.com/keyskills.php?ksid=474 | drfrostmaths.com/videos.php?ksid=474 |

Key Skill | K475 | KS3/4 | Number | Ratio & Proportion | Establish the constant of proportionality for variables which are inversely proportional involving powers/roots. | Yes | drfrostmaths.com/keyskills.php?ksid=475 | |

Key Skill | K476 | KS3/4 | Number | Combinations & Permutations | Use the product rule for counting. | Yes | drfrostmaths.com/keyskills.php?ksid=476 | drfrostmaths.com/videos.php?ksid=476 |

Key Skill | K477 | KS3/4 | Shape, Space & Measures | Angles | Find the size of the exterior angles of a regular polygon. | Yes | drfrostmaths.com/keyskills.php?ksid=477 | drfrostmaths.com/videos.php?ksid=477 |

Key Skill | K478 | KS3/4 | Shape, Space & Measures | Angles | Find the number of sides of a regular polygon given the size of its exterior angles. | Yes | drfrostmaths.com/keyskills.php?ksid=478 | drfrostmaths.com/videos.php?ksid=478 |

Key Skill | K479 | KS3/4 | Shape, Space & Measures | Angles | Find missing angles in a non-regular polygon. | Yes | drfrostmaths.com/keyskills.php?ksid=479 | drfrostmaths.com/videos.php?ksid=479 |

Key Skill | K480 | KS3/4 | Shape, Space & Measures | Angles | Find the size of the interior angles of a regular polygon. | Yes | drfrostmaths.com/keyskills.php?ksid=480 | drfrostmaths.com/videos.php?ksid=480 |

Key Skill | K481 | KS3/4 | Shape, Space & Measures | Angles | Find the number of sides of a regular polygon given the size of its interior angles. | Yes | drfrostmaths.com/keyskills.php?ksid=481 | drfrostmaths.com/videos.php?ksid=481 |

Key Skill | K482 | KS3/4 | Shape, Space & Measures | Trigonometry | Label sides relative to a given angle in a right-angled triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=482 | drfrostmaths.com/videos.php?ksid=482 |

Key Skill | K483 | KS3/4 | Shape, Space & Measures | Trigonometry | Use sin, cos and tan to find an unknown shorter length in a right-angled triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=483 | drfrostmaths.com/videos.php?ksid=483 |

Key Skill | K484 | KS3/4 | Shape, Space & Measures | Trigonometry | Use sin, cos and tan to find the hypotenuse or adjacent side in a right-angled triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=484 | drfrostmaths.com/videos.php?ksid=484 |

Key Skill | K485 | KS3/4 | Shape, Space & Measures | Trigonometry | Use Pythagoras' theorem then trigonometry to find a missing side. | Yes | drfrostmaths.com/keyskills.php?ksid=485 | drfrostmaths.com/videos.php?ksid=485 |

Key Skill | K486 | KS3/4 | Shape, Space & Measures | Trigonometry | Use trigonometry to find unknown angles in a right-angled triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=486 | drfrostmaths.com/videos.php?ksid=486 |

Key Skill | K487 | KS3/4 | Shape, Space & Measures | Trigonometry | Use Pythagoras' theorem then trigonometry to find a missing angle. | Yes | drfrostmaths.com/keyskills.php?ksid=487 | drfrostmaths.com/videos.php?ksid=487 |

Key Skill | K488 | KS3/4 | Shape, Space & Measures | Trigonometry | Know exact trigonometric ratios. | Yes | drfrostmaths.com/keyskills.php?ksid=488 | drfrostmaths.com/videos.php?ksid=488 |

Key Skill | K489 | KS3/4 | Shape, Space & Measures | Transformations | Reflect a shape against a vertical or horizontal line. | Yes | drfrostmaths.com/keyskills.php?ksid=489 | drfrostmaths.com/videos.php?ksid=489 |

Key Skill | K490 | KS3/4 | Shape, Space & Measures | Transformations | Reflect a shape against a diagonal line. | Yes | drfrostmaths.com/keyskills.php?ksid=490 | |

Key Skill | K491 | KS3/4 | Shape, Space & Measures | Transformations | Describe a reflection in a vertical or horizontal line. | Yes | drfrostmaths.com/keyskills.php?ksid=491 | drfrostmaths.com/videos.php?ksid=491 |

Key Skill | K492 | KS3/4 | Shape, Space & Measures | Transformations | Describe a reflection in a diagonal line. | Yes | drfrostmaths.com/keyskills.php?ksid=492 | drfrostmaths.com/videos.php?ksid=492 |

Key Skill | K493 | KS3/4 | Shape, Space & Measures | Transformations | Enlarge a shape by a negative scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=493 | drfrostmaths.com/videos.php?ksid=493 |

Key Skill | K494 | KS3/4 | Shape, Space & Measures | Transformations | Enlarge a shape by an fractional scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=494 | drfrostmaths.com/videos.php?ksid=494 |

Key Skill | K495 | KS3/4 | Shape, Space & Measures | Transformations | Describe an enlargement with a fractional scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=495 | drfrostmaths.com/videos.php?ksid=495 |

Key Skill | K496 | KS3/4 | Shape, Space & Measures | Transformations | Describe an enlargement with a negative scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=496 | drfrostmaths.com/videos.php?ksid=496 |

Key Skill | K497 | KS3/4 | Shape, Space & Measures | Transformations | Enlarge a shape by a negative and fractional scale factor. | Yes | drfrostmaths.com/keyskills.php?ksid=497 | drfrostmaths.com/videos.php?ksid=497 |

Key Skill | K498 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of a sector of a circle. | Yes | drfrostmaths.com/keyskills.php?ksid=498 | drfrostmaths.com/videos.php?ksid=498 |

Key Skill | K499 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the radius of a sector given its arc length and angle. | Yes | drfrostmaths.com/keyskills.php?ksid=499 | drfrostmaths.com/videos.php?ksid=499 |

Key Skill | K500 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the angle of a sector given its arc length and radius. | Yes | drfrostmaths.com/keyskills.php?ksid=500 | drfrostmaths.com/videos.php?ksid=500 |

Key Skill | K501 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of the sector of a circle. | Yes | drfrostmaths.com/keyskills.php?ksid=501 | drfrostmaths.com/videos.php?ksid=501 |

Key Skill | K502 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the radius of a sector given its area and angle. | Yes | drfrostmaths.com/keyskills.php?ksid=502 | drfrostmaths.com/videos.php?ksid=502 |

Key Skill | K503 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the angle of a sector given its area and radius. | Yes | drfrostmaths.com/keyskills.php?ksid=503 | drfrostmaths.com/videos.php?ksid=503 |

Key Skill | K504 | KS3/4 | Shape, Space & Measures | Pythagoras | Use Pythagoras' theorem to calculate the hypotenuse of a right-angled triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=504 | drfrostmaths.com/videos.php?ksid=504 |

Key Skill | K505 | KS3/4 | Shape, Space & Measures | Pythagoras | Use Pythagoras' theorem to calculate a shorter side of a right-angled triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=505 | drfrostmaths.com/videos.php?ksid=505 |

Key Skill | K506 | KS3/4 | Shape, Space & Measures | Pythagoras | Use the converse of Pythagoras' theorem. | Yes | drfrostmaths.com/keyskills.php?ksid=506 | |

Key Skill | K507 | KS3/4 | Shape, Space & Measures | Pythagoras | Use Pythagoras' theorem to find the distance between two points. | Yes | drfrostmaths.com/keyskills.php?ksid=507 | drfrostmaths.com/videos.php?ksid=507 |

Key Skill | K508 | KS3/4 | Shape, Space & Measures | Pythagoras | Use Pythagoras' theorem to find a length in an isosceles triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=508 | drfrostmaths.com/videos.php?ksid=508 |

Key Skill | K509 | KS3/4 | Shape, Space & Measures | Pythagoras | Use Pythagoras' theorem twice. | Yes | drfrostmaths.com/keyskills.php?ksid=509 | drfrostmaths.com/videos.php?ksid=509 |

Key Skill | K510 | KS3/4 | Shape, Space & Measures | Pythagoras | Find the length of a face diagonal in a cuboid using Pythagoras' theorem. | Yes | drfrostmaths.com/keyskills.php?ksid=510 | drfrostmaths.com/videos.php?ksid=510 |

Key Skill | K511 | KS3/4 | Shape, Space & Measures | Pythagoras | Find a space diagonal of a cuboid using Pythagoras' theorem. | Yes | drfrostmaths.com/keyskills.php?ksid=511 | drfrostmaths.com/videos.php?ksid=511 |

Key Skill | K512 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the average speed given the distance and time. | Yes | drfrostmaths.com/keyskills.php?ksid=512 | drfrostmaths.com/videos.php?ksid=512 |

Key Skill | K513 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the distance given the average speed and time. | Yes | drfrostmaths.com/keyskills.php?ksid=513 | drfrostmaths.com/videos.php?ksid=513 |

Key Skill | K514 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the time given the average speed and distance. | Yes | drfrostmaths.com/keyskills.php?ksid=514 | drfrostmaths.com/videos.php?ksid=514 |

Key Skill | K515 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the average speed by combining two parts of a journey. | Yes | drfrostmaths.com/keyskills.php?ksid=515 | drfrostmaths.com/videos.php?ksid=515 |

Key Skill | K516 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | TODO Solve problems involving two densities. | Yes | drfrostmaths.com/keyskills.php?ksid=516 | |

Key Skill | K517 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the density given the mass and the volume. | Yes | drfrostmaths.com/keyskills.php?ksid=517 | drfrostmaths.com/videos.php?ksid=517 |

Key Skill | K518 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the mass given the density and the volume. | Yes | drfrostmaths.com/keyskills.php?ksid=518 | drfrostmaths.com/videos.php?ksid=518 |

Key Skill | K519 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Find the volume given the density and the mass. | Yes | drfrostmaths.com/keyskills.php?ksid=519 | drfrostmaths.com/videos.php?ksid=519 |

Key Skill | K520 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find unknown lengths given two separate similar shapes. | Yes | drfrostmaths.com/keyskills.php?ksid=520 | drfrostmaths.com/videos.php?ksid=520 |

Key Skill | K521 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find unknown lengths given two similar triangles with one vertex in common. | Yes | drfrostmaths.com/keyskills.php?ksid=521 | drfrostmaths.com/videos.php?ksid=521 |

Key Skill | K522 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find unknown lengths given two similar shapes where one is inscribed the other. | Yes | drfrostmaths.com/keyskills.php?ksid=522 | drfrostmaths.com/videos.php?ksid=522 |

Key Skill | K523 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find unknown lengths given two similar shapes where one is inscribed the other and requires subtraction. | Yes | drfrostmaths.com/keyskills.php?ksid=523 | drfrostmaths.com/videos.php?ksid=523 |

Key Skill | K524 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Relationship between scale factors of length and area. | Yes | drfrostmaths.com/keyskills.php?ksid=524 | drfrostmaths.com/videos.php?ksid=524 |

Key Skill | K525 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Relationship between scale factors of length and volume. | Yes | drfrostmaths.com/keyskills.php?ksid=525 | drfrostmaths.com/videos.php?ksid=525 |

Key Skill | K526 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find the surface area of a similar solid when the volumes are given. | Yes | drfrostmaths.com/keyskills.php?ksid=526 | drfrostmaths.com/videos.php?ksid=526 |

Key Skill | K527 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find the volume of a similar solid when the surface areas are given. | Yes | drfrostmaths.com/keyskills.php?ksid=527 | drfrostmaths.com/videos.php?ksid=527 |

Key Skill | K528 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Find the surface area/volume of a similar solid when the scale factor of surface area/volume is given in ratio form. | Yes | drfrostmaths.com/keyskills.php?ksid=528 | drfrostmaths.com/videos.php?ksid=528 |

Key Skill | K529 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert metric units of area by multiplying. | Yes | drfrostmaths.com/keyskills.php?ksid=529 | drfrostmaths.com/videos.php?ksid=529 |

Key Skill | K530 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert metric units of area by dividing. | Yes | drfrostmaths.com/keyskills.php?ksid=530 | drfrostmaths.com/videos.php?ksid=530 |

Key Skill | K531 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert metric units of volume by multiplying. | Yes | drfrostmaths.com/keyskills.php?ksid=531 | drfrostmaths.com/videos.php?ksid=531 |

Key Skill | K532 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert metric units of volume by dividing. | Yes | drfrostmaths.com/keyskills.php?ksid=532 | drfrostmaths.com/videos.php?ksid=532 |

Key Skill | K533 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Construct the perpendicular bisector of a line. | Yes | drfrostmaths.com/keyskills.php?ksid=533 | |

Key Skill | K534 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Construct the bisector of an angle. | Yes | drfrostmaths.com/keyskills.php?ksid=534 | |

Key Skill | K535 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Construct a triangle given 2 angles and a side (ASA). | Yes | drfrostmaths.com/keyskills.php?ksid=535 | |

Key Skill | K536 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Construct a line perpendicular to another line, passing through a given point. | Yes | drfrostmaths.com/keyskills.php?ksid=536 | |

Key Skill | K537 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Construct a line perpendicular to another line, passing through a given point on the line. | Yes | drfrostmaths.com/keyskills.php?ksid=537 | |

Key Skill | K538 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Find the locus of the points away from two given points. | Yes | drfrostmaths.com/keyskills.php?ksid=538 | |

Key Skill | K539 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Find the locus of the points away from at least two line segments. | Yes | drfrostmaths.com/keyskills.php?ksid=539 | |

Key Skill | K540 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Find the locus of the points away from a point and a line segment. | Yes | drfrostmaths.com/keyskills.php?ksid=540 | |

Key Skill | K541 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | TODO Find the locus of the points away from a shape. | Yes | drfrostmaths.com/keyskills.php?ksid=541 | |

Key Skill | K542 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | TODO Find the locus of the points equidistant from 2 points. | Yes | drfrostmaths.com/keyskills.php?ksid=542 | |

Key Skill | K543 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Use a map scale to find an actual distance. | Yes | drfrostmaths.com/keyskills.php?ksid=543 | drfrostmaths.com/videos.php?ksid=543 |

Key Skill | K544 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Use a map scale in the form ||1:n|| to find an actual distance. | Yes | drfrostmaths.com/keyskills.php?ksid=544 | drfrostmaths.com/videos.php?ksid=544 |

Key Skill | K545 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Draw the front elevation, side elevation or plan of a 3D shape. | Yes | drfrostmaths.com/keyskills.php?ksid=545 | drfrostmaths.com/videos.php?ksid=545 |

Key Skill | K546 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Determine the exact distance from a velocity-time graph. | Yes | drfrostmaths.com/keyskills.php?ksid=546 | drfrostmaths.com/videos.php?ksid=546 |

Key Skill | K547 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Estimate the distance using a velocity-time graph, where the strips are drawn. | Yes | drfrostmaths.com/keyskills.php?ksid=547 | drfrostmaths.com/videos.php?ksid=547 |

Key Skill | K548 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Estimate the distance using a velocity-time graph, where the strips are not drawn. | Yes | drfrostmaths.com/keyskills.php?ksid=548 | drfrostmaths.com/videos.php?ksid=548 |

Key Skill | K549 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Construct velocity-time graphs. | Yes | drfrostmaths.com/keyskills.php?ksid=549 | drfrostmaths.com/videos.php?ksid=549 |

Key Skill | K550 | KS3/4 | Algebra | Curved Graphs | TODO Estimate the gradient of a curve at a given point. | Yes | drfrostmaths.com/keyskills.php?ksid=550 | |

Key Skill | K551 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | TODO Determine the acceleration from a velocity-time graph. | Yes | drfrostmaths.com/keyskills.php?ksid=551 | |

Key Skill | K552 | KS3/4 | Data Handling & Probability | Averages and Range | Find quartiles of listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=552 | drfrostmaths.com/videos.php?ksid=552 |

Key Skill | K553 | KS3/4 | Data Handling & Probability | Averages and Range | Find the interquartile range of listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=553 | drfrostmaths.com/videos.php?ksid=553 |

Key Skill | K554 | KS3/4 | Data Handling & Probability | Averages and Range | TODO Determine quartiles or the interquartile range from a stem-and-leaf diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=554 | |

Key Skill | K555 | KS3/4 | Data Handling & Probability | Averages and Range | Interpret a box plot. | Yes | drfrostmaths.com/keyskills.php?ksid=555 | drfrostmaths.com/videos.php?ksid=555 |

Key Skill | K556 | KS3/4 | Data Handling & Probability | Averages and Range | Draw a box plot. | Yes | drfrostmaths.com/keyskills.php?ksid=556 | drfrostmaths.com/videos.php?ksid=556 |

Key Skill | K557 | KS3/4 | Data Handling & Probability | Averages and Range | Draw a cumulative frequency graph given a cumulative frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=557 | drfrostmaths.com/videos.php?ksid=557 |

Key Skill | K558 | KS3/4 | Data Handling & Probability | Averages and Range | Draw a cumulative frequency graph given a frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=558 | drfrostmaths.com/videos.php?ksid=558 |

Key Skill | K559 | KS3/4 | Data Handling & Probability | Averages and Range | Use a cumulative frequency graph to estimate the median. | Yes | drfrostmaths.com/keyskills.php?ksid=559 | drfrostmaths.com/videos.php?ksid=559 |

Key Skill | K560 | KS3/4 | Data Handling & Probability | Averages and Range | Use a cumulative frequency graph to estimate the interquartile range. | Yes | drfrostmaths.com/keyskills.php?ksid=560 | drfrostmaths.com/videos.php?ksid=560 |

Key Skill | K561 | KS3/4 | Data Handling & Probability | Averages and Range | Use a cumulative frequency graph to estimate values. | Yes | drfrostmaths.com/keyskills.php?ksid=561 | drfrostmaths.com/videos.php?ksid=561 |

Key Skill | K562 | KS3/4 | Data Handling & Probability | Probability | Draw a tree diagram to represent successive independent events. | Yes | drfrostmaths.com/keyskills.php?ksid=562 | drfrostmaths.com/videos.php?ksid=562 |

Key Skill | K563 | KS3/4 | Data Handling & Probability | Probability | Deal with a single chain of outcomes involving successive independent events. | Yes | drfrostmaths.com/keyskills.php?ksid=563 | drfrostmaths.com/videos.php?ksid=563 |

Key Skill | K564 | KS3/4 | Data Handling & Probability | Probability | Deal with multiple different chains of outcomes involving successive independent events. | Yes | drfrostmaths.com/keyskills.php?ksid=564 | drfrostmaths.com/videos.php?ksid=564 |

Key Skill | K565 | KS3/4 | Data Handling & Probability | Probability | Draw a tree diagram to represent successive dependent events. | Yes | drfrostmaths.com/keyskills.php?ksid=565 | drfrostmaths.com/videos.php?ksid=565 |

Key Skill | K566 | KS3/4 | Data Handling & Probability | Probability | Deal with a single chain of outcomes involving successive dependent events. | Yes | drfrostmaths.com/keyskills.php?ksid=566 | drfrostmaths.com/videos.php?ksid=566 |

Key Skill | K567 | KS3/4 | Data Handling & Probability | Probability | Deal with multiple different chains of outcomes involving successive dependent events. | Yes | drfrostmaths.com/keyskills.php?ksid=567 | drfrostmaths.com/videos.php?ksid=567 |

Key Skill | K568 | KS3/4 | Data Handling & Probability | Probability | Calculate probabilities by drawing a Venn diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=568 | drfrostmaths.com/videos.php?ksid=568 |

Key Skill | K569 | KS3/4 | Data Handling & Probability | Probability | Calculate probabilities by drawing a Venn diagram with 3 sets. | Yes | drfrostmaths.com/keyskills.php?ksid=569 | |

Key Skill | K570 | KS3/4 | Algebra | Simultaneous Equations | Solve non-linear simultaneous equations where ||y|| is the subject of both equations. | Yes | drfrostmaths.com/keyskills.php?ksid=570 | drfrostmaths.com/videos.php?ksid=570 |

Key Skill | K571 | KS3/4 | Algebra | Simultaneous Equations | Solve non-linear simultaneous equations with one equation in the form ||x^2+y^2=a||. | Yes | drfrostmaths.com/keyskills.php?ksid=571 | drfrostmaths.com/videos.php?ksid=571 |

Key Skill | K572 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject appears on the same side twice. | Yes | drfrostmaths.com/keyskills.php?ksid=572 | drfrostmaths.com/videos.php?ksid=572 |

Key Skill | K573 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject appears on both sides. | Yes | drfrostmaths.com/keyskills.php?ksid=573 | drfrostmaths.com/videos.php?ksid=573 |

Key Skill | K574 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject appears twice on a fraction. | Yes | drfrostmaths.com/keyskills.php?ksid=574 | drfrostmaths.com/videos.php?ksid=574 |

Key Skill | K575 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject appears twice with a square root. | Yes | drfrostmaths.com/keyskills.php?ksid=575 | drfrostmaths.com/videos.php?ksid=575 |

Key Skill | K576 | KS3/4 | Algebra | Straight Line Graphs | Determine whether two lines are perpendicular given their equations (no rearrangement). | Yes | drfrostmaths.com/keyskills.php?ksid=576 | drfrostmaths.com/videos.php?ksid=576 |

Key Skill | K577 | KS3/4 | Algebra | Straight Line Graphs | Determine whether two lines are perpendicular given their equations (rearrangement required). | Yes | drfrostmaths.com/keyskills.php?ksid=577 | drfrostmaths.com/videos.php?ksid=577 |

Key Skill | K578 | KS3/4 | Algebra | Straight Line Graphs | Find an equation of a line perpendicular to another. | Yes | drfrostmaths.com/keyskills.php?ksid=578 | drfrostmaths.com/videos.php?ksid=578 |

Key Skill | K579 | KS3/4 | Algebra | Straight Line Graphs | Find the equation of a tangent to a circle. | Yes | drfrostmaths.com/keyskills.php?ksid=579 | drfrostmaths.com/videos.php?ksid=579 |

Key Skill | K580 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Complete the square for quadratics of the form ||x^2 + bx + c||. | Yes | drfrostmaths.com/keyskills.php?ksid=580 | drfrostmaths.com/videos.php?ksid=580 |

Key Skill | K581 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Complete the square for quadratics of the form ||ax^2 + bx + c||. | Yes | drfrostmaths.com/keyskills.php?ksid=581 | drfrostmaths.com/videos.php?ksid=581 |

Key Skill | K582 | KS3/4 | Algebra | Curved Graphs | Find the minimum point of a quadratic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=582 | drfrostmaths.com/videos.php?ksid=582 |

Key Skill | K583 | KS3/4 | Algebra | Curved Graphs | Find the maximum point of a quadratic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=583 | drfrostmaths.com/videos.php?ksid=583 |

Key Skill | K584 | KS3/4 | Algebra | Curved Graphs | Find the line of symmetry of a quadratic graph. | Yes | drfrostmaths.com/keyskills.php?ksid=584 | drfrostmaths.com/videos.php?ksid=584 |

Key Skill | K585 | KS3/4 | Algebra | Transformations of Curves | Understand the effect of the transformation ||y=f(x+a)||. | Yes | drfrostmaths.com/keyskills.php?ksid=585 | drfrostmaths.com/videos.php?ksid=585 |

Key Skill | K586 | KS3/4 | Algebra | Transformations of Curves | Understand the effect of the transformation ||y = f(x)+a||. | Yes | drfrostmaths.com/keyskills.php?ksid=586 | drfrostmaths.com/videos.php?ksid=586 |

Key Skill | K587 | KS3/4 | Algebra | Transformations of Curves | Understand the effect of the transformations ||y = -f(x)|| and ||y = f(-x)||. | Yes | drfrostmaths.com/keyskills.php?ksid=587 | drfrostmaths.com/videos.php?ksid=587 |

Key Skill | K588 | KS3/4 | Algebra | Transformations of Curves | Determine the equation of a new curve given a transformation drawn on a graph. | Yes | drfrostmaths.com/keyskills.php?ksid=588 | drfrostmaths.com/videos.php?ksid=588 |

Key Skill | K589 | KS3/4 | Algebra | Iteration | Approximate a solution to an equation using iteration. | Yes | drfrostmaths.com/keyskills.php?ksid=589 | |

Key Skill | K590 | KS3/4 | Algebra | Functions | Find the output of a function, given the input. | Yes | drfrostmaths.com/keyskills.php?ksid=590 | drfrostmaths.com/videos.php?ksid=590 |

Key Skill | K591 | KS3/4 | Algebra | Functions | Find the input of a function, given the output. | Yes | drfrostmaths.com/keyskills.php?ksid=591 | drfrostmaths.com/videos.php?ksid=591 |

Key Skill | K592 | KS3/4 | Algebra | Functions | Find the inverse function for a linear expression. | Yes | drfrostmaths.com/keyskills.php?ksid=592 | drfrostmaths.com/videos.php?ksid=592 |

Key Skill | K593 | KS3/4 | Algebra | Functions | Find the inverse function of ||f(x)=\frac{ax+b}{cx+d}||. | Yes | drfrostmaths.com/keyskills.php?ksid=593 | drfrostmaths.com/videos.php?ksid=593 |

Key Skill | K594 | KS3/4 | Algebra | Functions | TODO Find the inverse of a composite function. | Yes | drfrostmaths.com/keyskills.php?ksid=594 | |

Key Skill | K595 | KS3/4 | Algebra | Functions | Find the numerical output of a composite function. | Yes | drfrostmaths.com/keyskills.php?ksid=595 | drfrostmaths.com/videos.php?ksid=595 |

Key Skill | K596 | KS3/4 | Algebra | Functions | Find the algebraic output of a composite function. | Yes | drfrostmaths.com/keyskills.php?ksid=596 | |

Key Skill | K597 | KS3/4 | Algebra | Algebraic Proofs | Identify expressions that represent odd/even integers. | Yes | drfrostmaths.com/keyskills.php?ksid=597 | drfrostmaths.com/videos.php?ksid=597 |

Key Skill | K598 | KS3/4 | Algebra | Algebraic Proofs | Identify expressions that represent a multiple of an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=598 | drfrostmaths.com/videos.php?ksid=598 |

Key Skill | K599 | KS3/4 | Algebra | Algebraic Proofs | Use expressions for consecutive integers. | Yes | drfrostmaths.com/keyskills.php?ksid=599 | drfrostmaths.com/videos.php?ksid=599 |

Key Skill | K600 | KS3/4 | Algebra | Algebraic Proofs | Use expressions for consecutive odd/even integers. | Yes | drfrostmaths.com/keyskills.php?ksid=600 | drfrostmaths.com/videos.php?ksid=600 |

Key Skill | K601 | KS3/4 | Algebra | Algebraic Proofs | Prove that a given algebraic expression is always odd/even. | Yes | drfrostmaths.com/keyskills.php?ksid=601 | drfrostmaths.com/videos.php?ksid=601 |

Key Skill | K602 | KS3/4 | Algebra | Inequalities | Solve quadratic inequalities of the form ||x^2 + bx + c > 0|| or ||x^2 + bx + c < 0||. | Yes | drfrostmaths.com/keyskills.php?ksid=602 | drfrostmaths.com/videos.php?ksid=602 |

Key Skill | K603 | KS3/4 | Algebra | Inequalities | Solve quadratic inequalities of the form ||ax^2 + bx + c > 0|| or ||ax^2 + bx + c < 0||, requiring rearrangement. | Yes | drfrostmaths.com/keyskills.php?ksid=603 | drfrostmaths.com/videos.php?ksid=603 |

Key Skill | K604 | KS3/4 | Algebra | Inequalities | Identify regions in 2D indicated by one inequality. | Yes | drfrostmaths.com/keyskills.php?ksid=604 | |

Key Skill | K605 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Add algebraic fractions with algebraic linear denominators. | Yes | drfrostmaths.com/keyskills.php?ksid=605 | drfrostmaths.com/videos.php?ksid=605 |

Key Skill | K606 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Subtract algebraic fractions with algebraic linear denominators. | Yes | drfrostmaths.com/keyskills.php?ksid=606 | drfrostmaths.com/videos.php?ksid=606 |

Key Skill | K607 | KS3/4 | Algebra | Curved Graphs | Find the values of ||p|| and ||q|| in the exponential function ||y=pq^x||. | Yes | drfrostmaths.com/keyskills.php?ksid=607 | drfrostmaths.com/videos.php?ksid=607 |

Key Skill | K608 | KS3/4 | Algebra | Curved Graphs | Draw a horizontal line to find approximate solutions to an equation. | Yes | drfrostmaths.com/keyskills.php?ksid=608 | drfrostmaths.com/videos.php?ksid=608 |

Key Skill | K609 | KS3/4 | Algebra | Curved Graphs | Draw a non horizontal line to find approximate solutions to an equation. | Yes | drfrostmaths.com/keyskills.php?ksid=609 | drfrostmaths.com/videos.php?ksid=609 |

Key Skill | K610 | KS3/4 | Algebra | Curved Graphs | Draw a line to find approximate solutions to an equation (rearrangement required). | Yes | drfrostmaths.com/keyskills.php?ksid=610 | drfrostmaths.com/videos.php?ksid=610 |

Key Skill | K611 | KS3/4 | Algebra | Curved Graphs | TODO Plot an exponential graph. | Yes | drfrostmaths.com/keyskills.php?ksid=611 | |

Key Skill | K612 | KS3/4 | Algebra | Curved Graphs | TODO Plot a reciprocal graph. | Yes | drfrostmaths.com/keyskills.php?ksid=612 | |

Key Skill | K613 | KS3/4 | Algebra | Curved Graphs | Recognise the shape of quadratic, cubic, reciprocal and exponential graphs. | Yes | drfrostmaths.com/keyskills.php?ksid=613 | drfrostmaths.com/videos.php?ksid=613 |

Key Skill | K614 | KS3/4 | Algebra | Solving Equations | Solve an equation with fractions leading to a quadratic equation. | Yes | drfrostmaths.com/keyskills.php?ksid=614 | drfrostmaths.com/videos.php?ksid=614 |

Key Skill | K615 | KS3/4 | Algebra | Solving Equations | Solve quadratics of the form ||x^2 + bx + c = 0||, solvable by factorisation. | Yes | drfrostmaths.com/keyskills.php?ksid=615 | drfrostmaths.com/videos.php?ksid=615 |

Key Skill | K616 | KS3/4 | Algebra | Solving Equations | Solve quadratics of the form ||x^2 + bx + c = 0|| requiring rearrangement and factorising. | Yes | drfrostmaths.com/keyskills.php?ksid=616 | |

Key Skill | K617 | KS3/4 | Algebra | Solving Equations | Solve quadratics of the form ||ax^2 + bx + c = 0||, requiring factorising. | Yes | drfrostmaths.com/keyskills.php?ksid=617 | |

Key Skill | K618 | KS3/4 | Algebra | Solving Equations | Solve quadratics of the form ||ax^2 + bx + c = 0||, requiring rearrangement and factorising. | Yes | drfrostmaths.com/keyskills.php?ksid=618 | drfrostmaths.com/videos.php?ksid=618 |

Key Skill | K619 | KS3/4 | Algebra | Solving Equations | Solve a quadratic equation to get exact solutions. | Yes | drfrostmaths.com/keyskills.php?ksid=619 | drfrostmaths.com/videos.php?ksid=619 |

Key Skill | K620 | KS3/4 | Algebra | Solving Equations | Solve a quadratic equation using the formula or completing the square to get numerical solutions. | Yes | drfrostmaths.com/keyskills.php?ksid=620 | drfrostmaths.com/videos.php?ksid=620 |

Key Skill | K621 | KS3/4 | Algebra | Curved Graphs | TODO Plot and recognise graphs of trigonometric functions. | Yes | drfrostmaths.com/keyskills.php?ksid=621 | |

Key Skill | K622 | KS3/4 | Shape, Space & Measures | Trigonometry | TODO Use a trigonometric graph to find other solutions to ||\sin x = k|| or ||\cos x = k||. | Yes | drfrostmaths.com/keyskills.php?ksid=622 | |

Key Skill | K623 | KS3/4 | Data Handling & Probability | Data Representation | Complete a histogram from a frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=623 | drfrostmaths.com/videos.php?ksid=623 |

Key Skill | K624 | KS3/4 | Data Handling & Probability | Data Representation | Complete a frequency table from a histogram. | Yes | drfrostmaths.com/keyskills.php?ksid=624 | drfrostmaths.com/videos.php?ksid=624 |

Key Skill | K625 | KS3/4 | Data Handling & Probability | Data Representation | Use a single frequency to determine another for a given range on a histogram. | Yes | drfrostmaths.com/keyskills.php?ksid=625 | drfrostmaths.com/videos.php?ksid=625 |

Key Skill | K626 | KS3/4 | Data Handling & Probability | Data Representation | Determine the total frequency from a histogram given one frequency. | Yes | drfrostmaths.com/keyskills.php?ksid=626 | drfrostmaths.com/videos.php?ksid=626 |

Key Skill | K627 | KS3/4 | Data Handling & Probability | Frequency Tables | TODO Estimate the median from a grouped frequency table. | Yes | drfrostmaths.com/keyskills.php?ksid=627 | |

Key Skill | K628 | KS3/4 | Data Handling & Probability | Probability | Form an equation using sampling without replacement. | Yes | drfrostmaths.com/keyskills.php?ksid=628 | drfrostmaths.com/videos.php?ksid=628 |

Key Skill | K629 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | TODO Prove that two triangles are congruent using SSS. | Yes | drfrostmaths.com/keyskills.php?ksid=629 | |

Key Skill | K630 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | TODO Prove that two triangles are congruent using ASA. | Yes | drfrostmaths.com/keyskills.php?ksid=630 | |

Key Skill | K631 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | TODO Prove that two triangles are congruent using SAS. | Yes | drfrostmaths.com/keyskills.php?ksid=631 | |

Key Skill | K632 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | TODO Prove that two triangles are congruent using RHS. | Yes | drfrostmaths.com/keyskills.php?ksid=632 | |

Key Skill | K633 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the sine rule to find unknown sides in non right-angled triangles. | Yes | drfrostmaths.com/keyskills.php?ksid=633 | drfrostmaths.com/videos.php?ksid=633 |

Key Skill | K634 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the sine rule to find acute angles in non right-angled triangles. | Yes | drfrostmaths.com/keyskills.php?ksid=634 | drfrostmaths.com/videos.php?ksid=634 |

Key Skill | K635 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the sine rule to find obtuse angles in non right-angled triangles. | Yes | drfrostmaths.com/keyskills.php?ksid=635 | drfrostmaths.com/videos.php?ksid=635 |

Key Skill | K636 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the cosine rule to find unknown sides in non right-angled triangles. | Yes | drfrostmaths.com/keyskills.php?ksid=636 | drfrostmaths.com/videos.php?ksid=636 |

Key Skill | K637 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the cosine rule to find unknown angles in non right-angled triangles. | Yes | drfrostmaths.com/keyskills.php?ksid=637 | drfrostmaths.com/videos.php?ksid=637 |

Key Skill | K638 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the sine rule and cosine rule within a single triangle. | Yes | drfrostmaths.com/keyskills.php?ksid=638 | drfrostmaths.com/videos.php?ksid=638 |

Key Skill | K639 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the area of a triangle using two lengths and the included angle. | Yes | drfrostmaths.com/keyskills.php?ksid=639 | drfrostmaths.com/videos.php?ksid=639 |

Key Skill | K640 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the area of a triangle using two lengths and an angle not included between the two sides. | Yes | drfrostmaths.com/keyskills.php?ksid=640 | drfrostmaths.com/videos.php?ksid=640 |

Key Skill | K641 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the angle between a line and a plane in a cuboid. | Yes | drfrostmaths.com/keyskills.php?ksid=641 | drfrostmaths.com/videos.php?ksid=641 |

Key Skill | K642 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the angle between a line and a plane in a pyramid. | Yes | drfrostmaths.com/keyskills.php?ksid=642 | drfrostmaths.com/videos.php?ksid=642 |

Key Skill | K643 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know that the angle in a semicircle is 90 degrees. | Yes | drfrostmaths.com/keyskills.php?ksid=643 | drfrostmaths.com/videos.php?ksid=643 |

Key Skill | K644 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know that angle between a tangent and the radius at the point of contact is 90. | Yes | drfrostmaths.com/keyskills.php?ksid=644 | drfrostmaths.com/videos.php?ksid=644 |

Key Skill | K645 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know that the angle at the centre is twice the angle at the circumference. | Yes | drfrostmaths.com/keyskills.php?ksid=645 | drfrostmaths.com/videos.php?ksid=645 |

Key Skill | K646 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know that angles in the same segment are equal. | Yes | drfrostmaths.com/keyskills.php?ksid=646 | drfrostmaths.com/videos.php?ksid=646 |

Key Skill | K647 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know that opposite angles in a cyclic quadrilateral add to 180. | Yes | drfrostmaths.com/keyskills.php?ksid=647 | drfrostmaths.com/videos.php?ksid=647 |

Key Skill | K648 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know that the angle between the tangent and a chord is equal to the angle in the alternate segment. | Yes | drfrostmaths.com/keyskills.php?ksid=648 | drfrostmaths.com/videos.php?ksid=648 |

Key Skill | K649 | KS3/4 | Shape, Space & Measures | Vectors | Add or subtract two vectors written in column vector form. | Yes | drfrostmaths.com/keyskills.php?ksid=649 | drfrostmaths.com/videos.php?ksid=649 |

Key Skill | K650 | KS3/4 | Shape, Space & Measures | Vectors | Find the magnitude of a vector written in column vector form. | Yes | drfrostmaths.com/keyskills.php?ksid=650 | drfrostmaths.com/videos.php?ksid=650 |

Key Skill | K651 | KS3/4 | Shape, Space & Measures | Vectors | Appreciate scalar multiplication of vectors. | Yes | drfrostmaths.com/keyskills.php?ksid=651 | drfrostmaths.com/videos.php?ksid=651 |

Key Skill | K652 | KS3/4 | Shape, Space & Measures | Vectors | Find a vector between two points using an appropriate path. | Yes | drfrostmaths.com/keyskills.php?ksid=652 | |

Key Skill | K653 | KS3/4 | Shape, Space & Measures | Vectors | Determine a vector involving a midpoint. | Yes | drfrostmaths.com/keyskills.php?ksid=653 | |

Key Skill | K654 | KS3/4 | Shape, Space & Measures | Vectors | Determine a vector involving a fraction of the distance between two points. | Yes | drfrostmaths.com/keyskills.php?ksid=654 | |

Key Skill | K655 | KS3/4 | Shape, Space & Measures | Vectors | TODO Prove that two vectors are parallel. | Yes | drfrostmaths.com/keyskills.php?ksid=655 | |

Key Skill | K656 | KS3/4 | Shape, Space & Measures | Vectors | TODO Prove that three points form a straight line. | Yes | drfrostmaths.com/keyskills.php?ksid=656 | |

Key Skill | K657 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a sphere. | Yes | drfrostmaths.com/keyskills.php?ksid=657 | drfrostmaths.com/videos.php?ksid=657 |

Key Skill | K658 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of an hemisphere. | Yes | drfrostmaths.com/keyskills.php?ksid=658 | drfrostmaths.com/videos.php?ksid=658 |

Key Skill | K659 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the radius of a sphere given its volume. | Yes | drfrostmaths.com/keyskills.php?ksid=659 | drfrostmaths.com/videos.php?ksid=659 |

Key Skill | K660 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a sphere. | Yes | drfrostmaths.com/keyskills.php?ksid=660 | drfrostmaths.com/videos.php?ksid=660 |

Key Skill | K661 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of an hemisphere. | Yes | drfrostmaths.com/keyskills.php?ksid=661 | drfrostmaths.com/videos.php?ksid=661 |

Key Skill | K662 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a pyramid. | Yes | drfrostmaths.com/keyskills.php?ksid=662 | drfrostmaths.com/videos.php?ksid=662 |

Key Skill | K663 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cone. | Yes | drfrostmaths.com/keyskills.php?ksid=663 | drfrostmaths.com/videos.php?ksid=663 |

Key Skill | K664 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the height of a cone given its volume. | Yes | drfrostmaths.com/keyskills.php?ksid=664 | drfrostmaths.com/videos.php?ksid=664 |

Key Skill | K665 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the radius or diameter of a cone given its volume. | Yes | drfrostmaths.com/keyskills.php?ksid=665 | drfrostmaths.com/videos.php?ksid=665 |

Key Skill | K666 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cone given the perpendicular height. | Yes | drfrostmaths.com/keyskills.php?ksid=666 | drfrostmaths.com/videos.php?ksid=666 |

Key Skill | K667 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cone given the slanted height. | Yes | drfrostmaths.com/keyskills.php?ksid=667 | drfrostmaths.com/videos.php?ksid=667 |

Key Skill | K668 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a frustum of a cone. | Yes | drfrostmaths.com/keyskills.php?ksid=668 | drfrostmaths.com/videos.php?ksid=668 |

Key Skill | K669 | KS3/4 | Shape, Space & Measures | Circle Theorems | TODO Use the intersecting chord theorem. | Yes | drfrostmaths.com/keyskills.php?ksid=669 | |

Key Skill | K670 | KS3/4 | Shape, Space & Measures | Circle Theorems | TODO Use the intersecting secant theorem. | Yes | drfrostmaths.com/keyskills.php?ksid=670 | |

Key Skill | K671 | KS3/4 | Shape, Space & Measures | Trigonometry | TODO Solve a problem with bearings using trigonometry. | Yes | drfrostmaths.com/keyskills.php?ksid=671 | |

Key Skill | K672 | KS3/4 | Shape, Space & Measures | Trigonometry | TODO Solve a problem with bearing using the sine or cosine rule. | Yes | drfrostmaths.com/keyskills.php?ksid=672 | |

Key Skill | K673 | KS3/4 | Number | Surds | Simplify a surd. | Yes | drfrostmaths.com/keyskills.php?ksid=673 | drfrostmaths.com/videos.php?ksid=673 |

Key Skill | K674 | KS3/4 | Number | Surds | Simplify a multiple of a surd. | Yes | drfrostmaths.com/keyskills.php?ksid=674 | drfrostmaths.com/videos.php?ksid=674 |

Key Skill | K675 | KS3/4 | Number | Surds | Multiply two surds. | Yes | drfrostmaths.com/keyskills.php?ksid=675 | drfrostmaths.com/videos.php?ksid=675 |

Key Skill | K676 | KS3/4 | Number | Surds | Multiply two surds that require simplifying. | Yes | drfrostmaths.com/keyskills.php?ksid=676 | drfrostmaths.com/videos.php?ksid=676 |

Key Skill | K677 | KS3/4 | Number | Surds | Divide two surds. | Yes | drfrostmaths.com/keyskills.php?ksid=677 | drfrostmaths.com/videos.php?ksid=677 |

Key Skill | K678 | KS3/4 | Number | Surds | Add or subtract surds with the same number under the square root. | Yes | drfrostmaths.com/keyskills.php?ksid=678 | drfrostmaths.com/videos.php?ksid=678 |

Key Skill | K679 | KS3/4 | Number | Surds | Add or subtract surds that require simplifying. | Yes | drfrostmaths.com/keyskills.php?ksid=679 | drfrostmaths.com/videos.php?ksid=679 |

Key Skill | K680 | KS3/4 | Number | Surds | Expand a single bracket with surds. | Yes | drfrostmaths.com/keyskills.php?ksid=680 | drfrostmaths.com/videos.php?ksid=680 |

Key Skill | K681 | KS3/4 | Number | Surds | Expand two brackets involving surds in the form ||(a + \sqrt{b})(c + \sqrt{b})||. | Yes | drfrostmaths.com/keyskills.php?ksid=681 | drfrostmaths.com/videos.php?ksid=681 |

Key Skill | K682 | KS3/4 | Number | Surds | Expand two brackets with surds, where subsequent simplification of surds required. | Yes | drfrostmaths.com/keyskills.php?ksid=682 | drfrostmaths.com/videos.php?ksid=682 |

Key Skill | K683 | KS3/4 | Number | Surds | Expand two brackets involving multiples of surds. | Yes | drfrostmaths.com/keyskills.php?ksid=683 | drfrostmaths.com/videos.php?ksid=683 |

Key Skill | K684 | KS3/4 | Number | Surds | Square a bracket involving surds. | Yes | drfrostmaths.com/keyskills.php?ksid=684 | drfrostmaths.com/videos.php?ksid=684 |

Key Skill | K685 | KS3/4 | Number | Surds | Rationalise the denominator of a fraction where the denominator is a single surd. | Yes | drfrostmaths.com/keyskills.php?ksid=685 | drfrostmaths.com/videos.php?ksid=685 |

Key Skill | K686 | KS3/4 | Number | Surds | Rationalise the denominator of a fraction in the form ||\frac{a + \sqrt{b}}{c + \sqrt{d}}||. | Yes | drfrostmaths.com/keyskills.php?ksid=686 | drfrostmaths.com/videos.php?ksid=686 |

Key Skill | K687 | KS3/4 | Number | Surds | Rationalise the denominator of a fraction in the form ||\frac{a + b\sqrt{c}}{d + e\sqrt{f}}||. | Yes | drfrostmaths.com/keyskills.php?ksid=687 | drfrostmaths.com/videos.php?ksid=687 |

Key Skill | K688 | KS3/4 | Number | Surds | TODO Rationalise the denominator of a fraction in the form ||\frac{a}{\sqrt{b} + \sqrt{c}}||. | Yes | drfrostmaths.com/keyskills.php?ksid=688 | |

Key Skill | K689 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise a number to a fractional power. | Yes | drfrostmaths.com/keyskills.php?ksid=689 | drfrostmaths.com/videos.php?ksid=689 |

Key Skill | K690 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise a number to a fractional and negative power. | Yes | drfrostmaths.com/keyskills.php?ksid=690 | drfrostmaths.com/videos.php?ksid=690 |

Key Skill | K691 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise a fraction to a fractional power. | Yes | drfrostmaths.com/keyskills.php?ksid=691 | drfrostmaths.com/videos.php?ksid=691 |

Key Skill | K692 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise a fraction to a fractional and negative power. | Yes | drfrostmaths.com/keyskills.php?ksid=692 | drfrostmaths.com/videos.php?ksid=692 |

Key Skill | K693 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise an algebraic term to a fractional power. | Yes | drfrostmaths.com/keyskills.php?ksid=693 | drfrostmaths.com/videos.php?ksid=693 |

Key Skill | K694 | KS3/4 | Number | Powers, Roots & Laws of Indices | Raise an algebraic term to a fractional and negative power. | Yes | drfrostmaths.com/keyskills.php?ksid=694 | drfrostmaths.com/videos.php?ksid=694 |

Key Skill | K695 | KS3/4 | Number | Ratio & Proportion | Convert an equation involving two variables into a ratio. | Yes | drfrostmaths.com/keyskills.php?ksid=695 | drfrostmaths.com/videos.php?ksid=695 |

Key Skill | K696 | KS3/4 | Number | Ratio & Proportion | Determine an amount given a change in a ratio where one part is changing. | Yes | drfrostmaths.com/keyskills.php?ksid=696 | drfrostmaths.com/videos.php?ksid=696 |

Key Skill | K697 | KS3/4 | Number | Ratio & Proportion | Determine an amount given a change in a ratio where two parts are changing. | Yes | drfrostmaths.com/keyskills.php?ksid=697 | drfrostmaths.com/videos.php?ksid=697 |

Key Skill | K698 | KS3/4 | Algebra | Differentiation | Differentiate single positive powers. | Yes | drfrostmaths.com/keyskills.php?ksid=698 | |

Key Skill | K699 | KS3/4 | Algebra | Differentiation | Differentiate multiple terms with integer powers. | Yes | drfrostmaths.com/keyskills.php?ksid=699 | |

Key Skill | K700 | KS3/4 | Algebra | Curved Graphs | Find an equation of a circle, not centred at the origin, which is drawn (FM). | drfrostmaths.com/keyskills.php?ksid=700 | ||

Key Skill | K701 | KS3/4 | Algebra | Curved Graphs | Find an equation of a circle, not centred at the origin, given its radius and centre (FM). | drfrostmaths.com/keyskills.php?ksid=701 | ||

Key Skill | K702 | KS3/4 | Algebra | Curved Graphs | Plot the graph of a circle not centred at the origin (FM). | drfrostmaths.com/keyskills.php?ksid=702 | ||

Key Skill | K703 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | TODO Construct a triangle using compasses. | drfrostmaths.com/keyskills.php?ksid=703 | ||

Key Skill | K704 | KS3/4 | Number | Fractions | TODO Find what fraction a number is of another. | drfrostmaths.com/keyskills.php?ksid=704 | ||

Key Skill | K705 | KS3/4 | Number | Fractions | Add or subtract fractions with different denominators where one fraction needs changing. | drfrostmaths.com/keyskills.php?ksid=705 | drfrostmaths.com/videos.php?ksid=705 | |

Key Skill | K706 | KS3/4 | Number | Basic Arithmetic | Multiply a 2-digit by a 2-digit integer. | drfrostmaths.com/keyskills.php?ksid=706 | drfrostmaths.com/videos.php?ksid=706 | |

Key Skill | K707 | KS3/4 | Algebra | Solving Equations | Solve a two step equation with a fraction on one side. | drfrostmaths.com/keyskills.php?ksid=707 | ||

Key Skill | K708 | KS3/4 | Number | Decimals | Multiply decimals using mental methods. | drfrostmaths.com/keyskills.php?ksid=708 | ||

Key Skill | K709 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Calculate costs using a surface area. | drfrostmaths.com/keyskills.php?ksid=709 | ||

Key Skill | K710 | KS3/4 | Algebra | Solving Equations | Solve an equation with fractions leading to a linear equation. | drfrostmaths.com/keyskills.php?ksid=710 | ||

Key Skill | K711 | KS3/4 | Number | Powers, Roots & Laws of Indices | Square and square root fractions. | drfrostmaths.com/keyskills.php?ksid=711 | ||

Key Skill | K712 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form an expression for the area of a composite rectilinear shape. | drfrostmaths.com/keyskills.php?ksid=712 | ||

Key Skill | K713 | KS3/4 | Algebra | Solving Equations | Solve equations involving powers of the same base, leading to a linear equation. | drfrostmaths.com/keyskills.php?ksid=713 | ||

Key Skill | K714 | KS3/4 | Algebra | Transformations of Curves | Translate a trigonometric function. | drfrostmaths.com/keyskills.php?ksid=714 | ||

Key Skill | K715 | KS3/4 | Algebra | Differentiation | Find coefficients of a cubic equation given a turning point. | drfrostmaths.com/keyskills.php?ksid=715 | ||

Key Skill | K716 | KS3/4 | Algebra | Inequalities | Identify regions in 2D indicated by two inequalities in the form ||x \le a|| or ||y \le a||. | drfrostmaths.com/keyskills.php?ksid=716 | ||

Key Skill | K717 | KS3/4 | Algebra | Inequalities | Identify regions in 2D indicated by three inequalities. | drfrostmaths.com/keyskills.php?ksid=717 | ||

Key Skill | K718 | KS3/4 | Number | Powers, Roots & Laws of Indices | Laws of indices for multiplying and dividing powers. | drfrostmaths.com/keyskills.php?ksid=718 | ||

Key Skill | K719 | KS3/4 | Shape, Space & Measures | Angles | Find angles in polygons within regular polygons. | drfrostmaths.com/keyskills.php?ksid=719 | ||

Key Skill | K720 | KS3/4 | Algebra | Factorising | Factorise a quadratic expression using a substitution. | drfrostmaths.com/keyskills.php?ksid=720 | ||

Key Skill | K721 | KS3/4 | Number | Powers, Roots & Laws of Indices | Write the product of powers in the form ||a^b|| by changing the base. | drfrostmaths.com/keyskills.php?ksid=721 | ||

Key Skill | K722 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the area of a segment of a circle, given the radius of the circle and the angle. | drfrostmaths.com/keyskills.php?ksid=722 | ||

Key Skill | K723 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the area of a segment of a circle, given the radius of the circle and chord length. | drfrostmaths.com/keyskills.php?ksid=723 | ||

Key Skill | K724 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the length of an arc given the area of the segment. | drfrostmaths.com/keyskills.php?ksid=724 | ||

Key Skill | K725 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find a missing dimension of a pyramid given its volume. | drfrostmaths.com/keyskills.php?ksid=725 | ||

Key Skill | K726 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the radius of a hemisphere given its volume. | drfrostmaths.com/keyskills.php?ksid=726 | ||

Key Skill | K727 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the radius of a sphere given its surface area. | drfrostmaths.com/keyskills.php?ksid=727 | ||

Key Skill | K728 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the radius of a hemisphere given its surface area. | drfrostmaths.com/keyskills.php?ksid=728 | ||

Key Skill | K729 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find a missing dimension of a cylinder given its volume. | drfrostmaths.com/keyskills.php?ksid=729 | ||

Key Skill | K730 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the height of a cylinder given its surface area. | drfrostmaths.com/keyskills.php?ksid=730 | ||

Key Skill | K731 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find a missing dimension in a triangular prism given the volume. | drfrostmaths.com/keyskills.php?ksid=731 | ||

Key Skill | K732 | KS3/4 | Shape, Space & Measures | Trigonometry | Select a trigonometric ratio. | drfrostmaths.com/keyskills.php?ksid=732 | ||

Key Skill | K733 | KS3/4 | Number | Basic Arithmetic | Complete a bank statement. | drfrostmaths.com/keyskills.php?ksid=733 | ||

Key Skill | K734 | KS3/4 | Data Handling & Probability | Probability | Calculate probabilities using a Venn diagram. | drfrostmaths.com/keyskills.php?ksid=734 | ||

Key Skill | K735 | KS3/4 | Data Handling & Probability | Probability | Calculate probabilities using a Venn diagram with 3 sets. | drfrostmaths.com/keyskills.php?ksid=735 | ||

Key Skill | K736 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Add or subtract algebraic fractions with algebraic denominators made of single terms. | drfrostmaths.com/keyskills.php?ksid=736 | ||

Key Skill | K737 | KS3/4 | Algebra | Algebraic Proofs | Equate coefficients to find constants in an identity. | drfrostmaths.com/keyskills.php?ksid=737 | ||

Key Skill | K738 | KS3/4 | Algebra | Algebraic Proofs | Equate coefficients to find constants in an identity requiring bracket expansion. | drfrostmaths.com/keyskills.php?ksid=738 | ||

Key Skill | K739 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the arc length of a sector of a circle. | drfrostmaths.com/keyskills.php?ksid=739 | ||

Key Skill | K740 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Simplify algebraic fractions where linear factorisation of one of the numerator or denominator is required. | drfrostmaths.com/keyskills.php?ksid=740 | ||

Key Skill | K741 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Simplify algebraic fractions where linear factorisation of both the numerator and denominator is required. | drfrostmaths.com/keyskills.php?ksid=741 | ||

Key Skill | K742 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations by substitution. | drfrostmaths.com/keyskills.php?ksid=742 | ||

Key Skill | K743 | KS3/4 | Algebra | Curved Graphs | Sketch a quadratic graph, including its intercepts and turning point. | drfrostmaths.com/keyskills.php?ksid=743 | ||

Key Skill | K744 | KS3/4 | Shape, Space & Measures | Circle Theorems | Use Pythagoras' theorem in a circle theorem context. | drfrostmaths.com/keyskills.php?ksid=744 | ||

Key Skill | K745 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the shaded area in overlapping circles. | drfrostmaths.com/keyskills.php?ksid=745 | ||

Key Skill | K746 | KS5 | Pure Mathematics | Algebraic Techniques | Write a collection of terms in the form ||ax^b||. | Yes | drfrostmaths.com/keyskills.php?ksid=746 | |

Key Skill | K747 | KS5 | Pure Mathematics | Algebraic Techniques | Expand a pair of brackets containing up to three polynomial terms. | Yes | drfrostmaths.com/keyskills.php?ksid=747 | |

Key Skill | K748 | KS5 | Pure Mathematics | Algebraic Techniques | Factorise the difference of two squares: ||kx^2-a^2|| | Yes | drfrostmaths.com/keyskills.php?ksid=748 | |

Key Skill | K749 | KS5 | Pure Mathematics | Algebraic Techniques | Fully factorise a quadratic of the form ||ax^2+bx+c||. | Yes | drfrostmaths.com/keyskills.php?ksid=749 | |

Key Skill | K750 | KS5 | Pure Mathematics | Algebraic Techniques | Simplify a fraction using index laws | Yes | drfrostmaths.com/keyskills.php?ksid=750 | |

Key Skill | K751 | KS5 | Pure Mathematics | Algebraic Techniques | Use change of base to form a linear formula. | Yes | drfrostmaths.com/keyskills.php?ksid=751 | |

Key Skill | K752 | KS5 | Pure Mathematics | Algebraic Techniques | Complete the square for quadratics of the form ||ax^2 + bx + c||, where ||a|| is an integer. | Yes | drfrostmaths.com/keyskills.php?ksid=752 | |

Key Skill | K753 | KS5 | Pure Mathematics | Algebraic Techniques | Determine the equation of a quadratic function from its graph. | Yes | drfrostmaths.com/keyskills.php?ksid=753 | |

Key Skill | K754 | KS5 | Pure Mathematics | Graphs and Functions | Determine the number real roots of a quadratic equation. | Yes | drfrostmaths.com/keyskills.php?ksid=754 | |

Key Skill | K755 | KS5 | Pure Mathematics | Algebraic Techniques | Solve a hidden quadratic of the form ||x^n|| by substitution. | Yes | drfrostmaths.com/keyskills.php?ksid=755 | |

Key Skill | K756 | KS5 | Pure Mathematics | Algebraic Techniques | Solve a hidden quadratic of the form ||x^n|| by substitution, that requires multiplying through by ||x^2||. | Yes | drfrostmaths.com/keyskills.php?ksid=756 | |

Key Skill | K757 | KS5 | Pure Mathematics | Algebraic Techniques | Solve a hidden quadratic involving exponentials (no log solutions). | Yes | drfrostmaths.com/keyskills.php?ksid=757 | |

Key Skill | K758 | KS5 | Pure Mathematics | Algebraic Techniques | Solve simultaneous linear equations requiring rearrangement. | Yes | drfrostmaths.com/keyskills.php?ksid=758 | |

Key Skill | K759 | KS5 | Pure Mathematics | Algebraic Techniques | Solve simultaneous equations in the form ||ax+by=c|| and ||x^2+y^2=d||. | Yes | drfrostmaths.com/keyskills.php?ksid=759 | |

Key Skill | K760 | KS5 | Pure Mathematics | Graphs and Functions | Determine the equation of simple graph transformations using ||{\mathrm{f}}(x)|| notation | Yes | drfrostmaths.com/keyskills.php?ksid=760 | |

Key Skill | K761 | KS5 | Pure Mathematics | Graphs and Functions | Apply a single transformation to more complex functions. | Yes | drfrostmaths.com/keyskills.php?ksid=761 | |

Key Skill | K762 | KS5 | Pure Mathematics | Graphs and Functions | Apply a single transformation to simple functions. | Yes | drfrostmaths.com/keyskills.php?ksid=762 | |

Key Skill | K763 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find an equation of a straight line given the gradient and one point using ||y-y_1=m(x-x_1)||. | Yes | drfrostmaths.com/keyskills.php?ksid=763 | |

Key Skill | K764 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find an equation of a straight line given two points using ||y-y_1=m(x-x_1)||. | Yes | drfrostmaths.com/keyskills.php?ksid=764 | drfrostmaths.com/videos.php?ksid=764 |

Key Skill | K765 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find an equation of a straight line parallel to another using ||y-y_1=m(x-x_1)||. | Yes | drfrostmaths.com/keyskills.php?ksid=765 | drfrostmaths.com/videos.php?ksid=765 |

Key Skill | K766 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find an equation of a straight line perpendicular to another using ||y-y_1=m(x-x_1)||. | Yes | drfrostmaths.com/keyskills.php?ksid=766 | drfrostmaths.com/videos.php?ksid=766 |

Key Skill | K767 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find the perpendicular bisector of a line using ||y-y_1=m(x-x_1)||. | Yes | drfrostmaths.com/keyskills.php?ksid=767 | |

Key Skill | K768 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find the area of a triangle enclosed by an axis and two intersecting lines. | Yes | drfrostmaths.com/keyskills.php?ksid=768 | |

Key Skill | K769 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Use the equation of a circle to find its centre and radius. | Yes | drfrostmaths.com/keyskills.php?ksid=769 | |

Key Skill | K770 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Write down the equation of a circle given the centre and radius. | Yes | drfrostmaths.com/keyskills.php?ksid=770 | |

Key Skill | K771 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find the equation of a circle from the endpoints of the diameter. | Yes | drfrostmaths.com/keyskills.php?ksid=771 | |

Key Skill | K772 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | TODO Find the points where a circle meets an axis. | Yes | drfrostmaths.com/keyskills.php?ksid=772 | |

Key Skill | K773 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Find the tangent to a circle at a given point. | Yes | drfrostmaths.com/keyskills.php?ksid=773 | |

Key Skill | K774 | KS5 | Pure Mathematics | Algebraic Techniques | Use the factor theorem to find a missing coefficient. | Yes | drfrostmaths.com/keyskills.php?ksid=774 | |

Key Skill | K775 | KS5 | Pure Mathematics | Algebraic Techniques | Factorise a cubic expression using the factor theorem. | Yes | drfrostmaths.com/keyskills.php?ksid=775 | |

Key Skill | K776 | KS5 | Pure Mathematics | Sequences and Series | Binomial expansion of ||(ax \pm b)^n||, where||\ n|| is a positive integer. | Yes | drfrostmaths.com/keyskills.php?ksid=776 | |

Key Skill | K777 | KS5 | Pure Mathematics | Sequences and Series | Determine the value of a coefficient in a binomial expansion with a positive integer power. | Yes | drfrostmaths.com/keyskills.php?ksid=777 | |

Key Skill | K778 | KS5 | Pure Mathematics | Trigonometry | Use the sine rule to find missing sides and angles (including the ambiguous case). | Yes | drfrostmaths.com/keyskills.php?ksid=778 | |

Key Skill | K779 | KS5 | Pure Mathematics | Trigonometry | Use the cosine rule to find missing sides and angles (including the ambiguous case). | Yes | drfrostmaths.com/keyskills.php?ksid=779 | |

Key Skill | K780 | KS5 | Pure Mathematics | Trigonometry | Solve a trigonometric equation in the form ||\sin x = k|| where ||x|| is in degrees. | Yes | drfrostmaths.com/keyskills.php?ksid=780 | |

Key Skill | K781 | KS5 | Pure Mathematics | Trigonometry | Solve a trigonometric equation in the form ||\sin (ax+b) = k|| where ||x|| is in degrees. | Yes | drfrostmaths.com/keyskills.php?ksid=781 | |

Key Skill | K782 | KS5 | Pure Mathematics | Trigonometry | Solve quadratic equations with trigonometric functions. | Yes | drfrostmaths.com/keyskills.php?ksid=782 | |

Key Skill | K783 | KS5 | Pure Mathematics | Trigonometry | Solve quadratic equations with trigonometric functions using Pythagorean identities. | Yes | drfrostmaths.com/keyskills.php?ksid=783 | |

Key Skill | K784 | KS5 | Pure Mathematics | Trigonometry | Find exact values of ||\sin||, ||\cos|| and ||\tan|| using another known trigonometric ratio. | Yes | drfrostmaths.com/keyskills.php?ksid=784 | |

Key Skill | K785 | KS5 | Pure Mathematics | Vectors | Find the magnitude of a vector. | Yes | drfrostmaths.com/keyskills.php?ksid=785 | |

Key Skill | K786 | KS5 | Pure Mathematics | Vectors | Find the direction of a vector. | Yes | drfrostmaths.com/keyskills.php?ksid=786 | |

Key Skill | K787 | KS5 | Pure Mathematics | Vectors | Find a position vector. | Yes | drfrostmaths.com/keyskills.php?ksid=787 | |

Key Skill | K788 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate a single term in the form ||ax^b||. | Yes | drfrostmaths.com/keyskills.php?ksid=788 | |

Key Skill | K789 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate a collection of terms in the form ||ax^b||. | Yes | drfrostmaths.com/keyskills.php?ksid=789 | |

Key Skill | K790 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate a collection of terms in the form ||ax^b|| that may require rearrangement. | Yes | drfrostmaths.com/keyskills.php?ksid=790 | |

Key Skill | K791 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate an expression requiring bracket expansion. | Yes | drfrostmaths.com/keyskills.php?ksid=791 | |

Key Skill | K792 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate an expression written as a fraction with a single term on the denominator. | Yes | drfrostmaths.com/keyskills.php?ksid=792 | |

Key Skill | K793 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Find an equation of a tangent to a curve. | Yes | drfrostmaths.com/keyskills.php?ksid=793 | |

Key Skill | K794 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Find an equation of a normal to a curve. | Yes | drfrostmaths.com/keyskills.php?ksid=794 | |

Key Skill | K795 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Determine the interval for which a cubic function is increasing or decreasing. | Yes | drfrostmaths.com/keyskills.php?ksid=795 | |

Key Skill | K796 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Find the second derivative of a function. | Yes | drfrostmaths.com/keyskills.php?ksid=796 | |

Key Skill | K797 | KS3/4 | Shape, Space & Measures | Coordinates | Desmos Coordinates Test | drfrostmaths.com/keyskills.php?ksid=797 | ||

Key Skill | K798 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Determine whether a stationary point is a maximum or a minimum. | Yes | drfrostmaths.com/keyskills.php?ksid=798 | |

Key Skill | K799 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Sketch a gradient function given the sketch of the function. | Yes | drfrostmaths.com/keyskills.php?ksid=799 | |

Key Skill | K800 | KS5 | Pure Mathematics | Integration | Integrate a collection of terms in the form ||ax^b||. | Yes | drfrostmaths.com/keyskills.php?ksid=800 | |

Key Skill | K801 | KS5 | Pure Mathematics | Integration | Integrate a collection of terms in the form ||ax^b|| that may require rearrangement. | Yes | drfrostmaths.com/keyskills.php?ksid=801 | |

Key Skill | K802 | KS5 | Pure Mathematics | Integration | Integrate an expression requiring bracket expansion. | Yes | drfrostmaths.com/keyskills.php?ksid=802 | |

Key Skill | K803 | KS5 | Pure Mathematics | Integration | Integrate an expression written as a fraction with a single term on the denominator. | Yes | drfrostmaths.com/keyskills.php?ksid=803 | |

Key Skill | K804 | KS5 | Pure Mathematics | Integration | Find functions by integrating ||\frac{dy}{dx}||. | Yes | drfrostmaths.com/keyskills.php?ksid=804 | |

Key Skill | K805 | KS5 | Pure Mathematics | Integration | Evaluate a definite integral where the integrand is a collection of terms in the form ||ax^b||. | Yes | drfrostmaths.com/keyskills.php?ksid=805 | |

Key Skill | K806 | KS5 | Pure Mathematics | Integration | Find the shaded area enclosed between a curve and the x-axis where the limits are roots. | Yes | drfrostmaths.com/keyskills.php?ksid=806 | |

Key Skill | K807 | KS5 | Pure Mathematics | Exponentials and Logarithms | Simplify logarithmic expressions. | Yes | drfrostmaths.com/keyskills.php?ksid=807 | |

Key Skill | K808 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve logarithmic equations of the form ||\log_{a}x=b|| | Yes | drfrostmaths.com/keyskills.php?ksid=808 | |

Key Skill | K809 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve logarithmic equations of the form ||\log[\text{f}(x)]=\log[\text{g}(x)]|| | Yes | drfrostmaths.com/keyskills.php?ksid=809 | |

Key Skill | K810 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve equations using logarithm product, quotient and power laws. | Yes | drfrostmaths.com/keyskills.php?ksid=810 | |

Key Skill | K811 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve exponential equations involving a single occurrence of ||e||. | Yes | drfrostmaths.com/keyskills.php?ksid=811 | |

Key Skill | K812 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve logarithmic equations involving a single occurrence of ||\ln||. | Yes | drfrostmaths.com/keyskills.php?ksid=812 | |

Key Skill | K813 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve a hidden quadratic involving exponentials (with log solutions). | Yes | drfrostmaths.com/keyskills.php?ksid=813 | |

Key Skill | K814 | KS5 | Pure Mathematics | Exponentials and Logarithms | Use logarithms to estimate parameters of graphs with equation ||y=ab^x||. | Yes | drfrostmaths.com/keyskills.php?ksid=814 | |

Key Skill | K815 | KS5 | Pure Mathematics | Exponentials and Logarithms | Use logarithms to estimate parameters of graphs with equation ||y=ax^b||. | Yes | drfrostmaths.com/keyskills.php?ksid=815 | |

Key Skill | K816 | KS5 | Statistics | Sampling | Identify the different types of sampling. | Yes | drfrostmaths.com/keyskills.php?ksid=816 | |

Key Skill | K817 | KS5 | Statistics | Sampling | Describe how to take a random sample. | Yes | drfrostmaths.com/keyskills.php?ksid=817 | |

Key Skill | K818 | KS5 | Statistics | Data Presentation and Interpretation | Find the mean of grouped data. | Yes | drfrostmaths.com/keyskills.php?ksid=818 | |

Key Skill | K819 | KS5 | Statistics | Data Presentation and Interpretation | Find the variance or standard deviation using ||\sum x|| and ||\sum x^2||. | Yes | drfrostmaths.com/keyskills.php?ksid=819 | |

Key Skill | K820 | KS5 | Statistics | Data Presentation and Interpretation | Find the variance or standard deviation of listed data. | drfrostmaths.com/keyskills.php?ksid=820 | ||

Key Skill | K821 | KS5 | Statistics | Data Presentation and Interpretation | Find the variance or standard deviation of grouped data. | Yes | drfrostmaths.com/keyskills.php?ksid=821 | |

Key Skill | K822 | KS5 | Statistics | Data Presentation and Interpretation | Estimate the median of grouped data using interpolation. | Yes | drfrostmaths.com/keyskills.php?ksid=822 | |

Key Skill | K823 | KS5 | Statistics | Data Presentation and Interpretation | Estimate the median of grouped data where intervals have gaps. | Yes | drfrostmaths.com/keyskills.php?ksid=823 | |

Key Skill | K824 | KS5 | Statistics | Data Presentation and Interpretation | Find quartiles or percentiles of grouped data using interpolation. | Yes | drfrostmaths.com/keyskills.php?ksid=824 | |

Key Skill | K825 | KS5 | Statistics | Data Presentation and Interpretation | Find the mean and standard deviation of coded data. | Yes | drfrostmaths.com/keyskills.php?ksid=825 | |

Key Skill | K826 | KS5 | Statistics | Data Presentation and Interpretation | Find the mean and standard deviation given the coded mean and standard deviation. | Yes | drfrostmaths.com/keyskills.php?ksid=826 | |

Key Skill | K827 | KS5 | Statistics | Data Presentation and Interpretation | Identify an outlier from listed data. | Yes | drfrostmaths.com/keyskills.php?ksid=827 | |

Key Skill | K828 | KS5 | Statistics | Data Presentation and Interpretation | Find the dimensions of an histogram bar. | Yes | drfrostmaths.com/keyskills.php?ksid=828 | |

Key Skill | K829 | KS5 | Statistics | Probability | Find probabilities of mutually exclusive events. | Yes | drfrostmaths.com/keyskills.php?ksid=829 | |

Key Skill | K830 | KS5 | Statistics | Probability | Find probabilities of independent events. | Yes | drfrostmaths.com/keyskills.php?ksid=830 | |

Key Skill | K831 | KS5 | Statistics | Probability | Construct a Venn diagram with 2 sets. | Yes | drfrostmaths.com/keyskills.php?ksid=831 | drfrostmaths.com/videos.php?ksid=831 |

Key Skill | K832 | KS5 | Statistics | Probability | Construct a Venn diagram with 3 sets. | Yes | drfrostmaths.com/keyskills.php?ksid=832 | drfrostmaths.com/videos.php?ksid=832 |

Key Skill | K833 | KS5 | Statistics | Probability | Determine whether two events are independent given probabilities. | Yes | drfrostmaths.com/keyskills.php?ksid=833 | |

Key Skill | K834 | KS5 | Statistics | Probability | Determine whether two events are independent given a Venn diagram. | Yes | drfrostmaths.com/keyskills.php?ksid=834 | |

Key Skill | K835 | KS5 | Statistics | Discrete Distributions | Calculate binomial probabilities in the form ||P(X=x)|| (no context). | drfrostmaths.com/keyskills.php?ksid=835 | ||

Key Skill | K836 | KS2 | Algebra | Sequences | Calculate binomial probabilities in the form ||P(X=x)|| from a worded problem. | drfrostmaths.com/keyskills.php?ksid=836 | ||

Key Skill | K837 | KS5 | Statistics | Discrete Distributions | Calculate binomial probabilities (no context). | Yes | drfrostmaths.com/keyskills.php?ksid=837 | |

Key Skill | K838 | KS5 | Statistics | Discrete Distributions | Calculate binomial probabilities from a worded problem. | Yes | drfrostmaths.com/keyskills.php?ksid=838 | |

Key Skill | K839 | KS5 | Statistics | Discrete Distributions | Use a binomial probability to calculate another binomial probability. | Yes | drfrostmaths.com/keyskills.php?ksid=839 | |

Key Skill | K840 | KS5 | Statistics | Hypothesis Tests | Find the critical region for a one-tailed hypothesis test using a Binomial model. | Yes | drfrostmaths.com/keyskills.php?ksid=840 | |

Key Skill | K841 | KS5 | Statistics | Hypothesis Tests | Find the critical region for a two-tailed hypothesis test using a Binomial model. | Yes | drfrostmaths.com/keyskills.php?ksid=841 | |

Key Skill | K842 | KS5 | Statistics | Hypothesis Tests | Conduct a one-tailed hypothesis test on a binomial model. | Yes | drfrostmaths.com/keyskills.php?ksid=842 | |

Key Skill | K843 | KS5 | Statistics | Hypothesis Tests | Conduct a two-tailed hypothesis test on a binomial model. | Yes | drfrostmaths.com/keyskills.php?ksid=843 | |

Key Skill | K844 | KS5 | Mechanics | Kinematics in 1D | Draw a velocity-time graph. | Yes | drfrostmaths.com/keyskills.php?ksid=844 | |

Key Skill | K845 | KS5 | Mechanics | Kinematics in 1D | Find the displacement from a velocity-time graph. | Yes | drfrostmaths.com/keyskills.php?ksid=845 | |

Key Skill | K846 | KS5 | Mechanics | Kinematics in 1D | Find the time on a velocity-time graph given the total displacement. | Yes | drfrostmaths.com/keyskills.php?ksid=846 | |

Key Skill | K847 | KS5 | Mechanics | Kinematics in 1D | Use the constant acceleration formula ||v=u+at||. | Yes | drfrostmaths.com/keyskills.php?ksid=847 | |

Key Skill | K848 | KS5 | Mechanics | Kinematics in 1D | Use the constant acceleration formula ||s=\left(\frac{u+v}{2}\right)t||. | Yes | drfrostmaths.com/keyskills.php?ksid=848 | |

Key Skill | K849 | KS5 | Mechanics | Kinematics in 1D | Use the constant acceleration formula ||v^2=u^2+2as||. | Yes | drfrostmaths.com/keyskills.php?ksid=849 | |

Key Skill | K850 | KS5 | Mechanics | Kinematics in 1D | Use the constant acceleration formula ||s=ut+\frac{1}{2}at^2||. | Yes | drfrostmaths.com/keyskills.php?ksid=850 | |

Key Skill | K851 | KS5 | Mechanics | Kinematics in 1D | Use constant acceleration formulae. | Yes | drfrostmaths.com/keyskills.php?ksid=851 | |

Key Skill | K852 | KS5 | Mechanics | Kinematics in 1D | Find the greatest height or total distance travelled when a particle is projected vertically upwards. | Yes | drfrostmaths.com/keyskills.php?ksid=852 | |

Key Skill | K853 | KS5 | Mechanics | Kinematics in 1D | Find the time of flight of a particle projected vertically. | Yes | drfrostmaths.com/keyskills.php?ksid=853 | |

Key Skill | K854 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the magnitude of missing forces when a particle is in equilibrium. | Yes | drfrostmaths.com/keyskills.php?ksid=854 | |

Key Skill | K855 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the magnitude of missing forces when a particle is accelerating. | Yes | drfrostmaths.com/keyskills.php?ksid=855 | |

Key Skill | K856 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the acceleration of a particle. | Yes | drfrostmaths.com/keyskills.php?ksid=856 | |

Key Skill | K857 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the tension in the string connecting two particles on smooth horizontal ground. | Yes | drfrostmaths.com/keyskills.php?ksid=857 | |

Key Skill | K858 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the tension in the string connecting two particles on rough horizontal ground. | Yes | drfrostmaths.com/keyskills.php?ksid=858 | |

Key Skill | K859 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the acceleration of two particles connected by a string passing over a smooth pulley. | Yes | drfrostmaths.com/keyskills.php?ksid=859 | |

Key Skill | K860 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the acceleration of two particles connected by a string passing over a smooth pulley on the corner of a table. | Yes | drfrostmaths.com/keyskills.php?ksid=860 | |

Key Skill | K861 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the maximum height reached by a particle connected to another by a string passing over a pulley. | Yes | drfrostmaths.com/keyskills.php?ksid=861 | |

Key Skill | K862 | KS5 | Mechanics | Kinematics in 1D | Use differentiation to find an expression for the velocity or the acceleration of a particle. | Yes | drfrostmaths.com/keyskills.php?ksid=862 | |

Key Skill | K863 | KS5 | Mechanics | Kinematics in 1D | Use differentiation to find the velocity or the acceleration of a particle at a given instant. | Yes | drfrostmaths.com/keyskills.php?ksid=863 | |

Key Skill | K864 | KS5 | Mechanics | Kinematics in 1D | Use integration to find an expression for the displacement or the velocity of a particle. | Yes | drfrostmaths.com/keyskills.php?ksid=864 | |

Key Skill | K865 | KS5 | Mechanics | Kinematics in 1D | Use integration to find an expression for the displacement or the velocity of a particle at a given instant. | Yes | drfrostmaths.com/keyskills.php?ksid=865 | |

Key Skill | K866 | KS5 | Pure Mathematics | Algebraic Techniques | Decompose a rational function into partial fractions:||\ \frac{ax+b}{(cx \pm d)(ex \pm f)}|| | Yes | drfrostmaths.com/keyskills.php?ksid=866 | |

Key Skill | K867 | KS5 | Pure Mathematics | Algebraic Techniques | Decompose a rational function into partial fractions: ||\frac{ax \pm b}{(cx \pm d)(ex \pm f)(gx \pm h)}|| | Yes | drfrostmaths.com/keyskills.php?ksid=867 | |

Key Skill | K868 | KS5 | Pure Mathematics | Algebraic Techniques | Decompose a rational function into partial fractions: ||\frac{ax \pm b}{(cx \pm d)(ex \pm f)^2}|| | Yes | drfrostmaths.com/keyskills.php?ksid=868 | |

Key Skill | K869 | KS5 | Pure Mathematics | Graphs and Functions | Plot the graph of a modulus function. | Yes | drfrostmaths.com/keyskills.php?ksid=869 | |

Key Skill | K870 | KS5 | Pure Mathematics | Graphs and Functions | Find the inverse of a function with a single occurrence of ||x||. | Yes | drfrostmaths.com/keyskills.php?ksid=870 | |

Key Skill | K871 | KS5 | Pure Mathematics | Graphs and Functions | Find the inverse of a function with multiple occurrences of ||x||. | Yes | drfrostmaths.com/keyskills.php?ksid=871 | |

Key Skill | K872 | KS5 | Pure Mathematics | Graphs and Functions | Find the numerical output of a composite function. | Yes | drfrostmaths.com/keyskills.php?ksid=872 | drfrostmaths.com/videos.php?ksid=872 |

Key Skill | K873 | KS5 | Pure Mathematics | Graphs and Functions | Find the algebraic output of a composite function. | Yes | drfrostmaths.com/keyskills.php?ksid=873 | |

Key Skill | K874 | KS5 | Pure Mathematics | Graphs and Functions | Solve an equation in the form ||\left|ax+b\right|=cx+d||. | Yes | drfrostmaths.com/keyskills.php?ksid=874 | |

Key Skill | K875 | KS5 | Pure Mathematics | Graphs and Functions | Find the range of a quadratic function. | drfrostmaths.com/keyskills.php?ksid=875 | ||

Key Skill | K876 | KS5 | Pure Mathematics | Graphs and Functions | Find the range of a function (including exponential, quadratic, linear). | Yes | drfrostmaths.com/keyskills.php?ksid=876 | |

Key Skill | K877 | KS5 | Pure Mathematics | Sequences and Series | Find the sum of an arithmetic series. | Yes | drfrostmaths.com/keyskills.php?ksid=877 | |

Key Skill | K878 | KS5 | Pure Mathematics | Sequences and Series | Find the first term and common difference for an arithmetic sequence (two unknowns). | Yes | drfrostmaths.com/keyskills.php?ksid=878 | |

Key Skill | K879 | KS5 | Pure Mathematics | Sequences and Series | Find the first term and common difference for arithmetic series (two unknowns). | Yes | drfrostmaths.com/keyskills.php?ksid=879 | |

Key Skill | K880 | KS5 | Pure Mathematics | Sequences and Series | Find the least number of terms for an arithmetic series to exceed a given value. | Yes | drfrostmaths.com/keyskills.php?ksid=880 | |

Key Skill | K881 | KS5 | Pure Mathematics | Sequences and Series | Find the first term and common difference for an geometric sequence (two unknowns). | Yes | drfrostmaths.com/keyskills.php?ksid=881 | |

Key Skill | K882 | KS5 | Pure Mathematics | Sequences and Series | Find the sum of a geometric series. | Yes | drfrostmaths.com/keyskills.php?ksid=882 | |

Key Skill | K883 | KS5 | Pure Mathematics | Sequences and Series | Find the least number of terms for a geometric series to exceed a given value. | Yes | drfrostmaths.com/keyskills.php?ksid=883 | |

Key Skill | K884 | KS5 | Pure Mathematics | Sequences and Series | Find the sum to infinity of a geometric series. | Yes | drfrostmaths.com/keyskills.php?ksid=884 | |

Key Skill | K885 | KS5 | Pure Mathematics | Sequences and Series | Find the first term or the common ratio of a series given its sum to infinity. | Yes | drfrostmaths.com/keyskills.php?ksid=885 | |

Key Skill | K886 | KS5 | Pure Mathematics | Sequences and Series | Use sigma notation to find the sum of an arithmetic or geometric series. | Yes | drfrostmaths.com/keyskills.php?ksid=886 | |

Key Skill | K887 | KS5 | Pure Mathematics | Sequences and Series | Binomial expansion for ||(1 \pm kx)^n||, where ||n|| is a rational number. | Yes | drfrostmaths.com/keyskills.php?ksid=887 | |

Key Skill | K888 | KS5 | Pure Mathematics | Sequences and Series | Binomial expansion for ||(a \pm kx)^n||, where ||n|| is a rational number. | Yes | drfrostmaths.com/keyskills.php?ksid=888 | |

Key Skill | K889 | KS5 | Pure Mathematics | Trigonometry | Convert between degrees and radians. | Yes | drfrostmaths.com/keyskills.php?ksid=889 | |

Key Skill | K890 | KS5 | Pure Mathematics | Trigonometry | Find the lengths of arcs and areas of sectors in radians (one unknown). | Yes | drfrostmaths.com/keyskills.php?ksid=890 | |

Key Skill | K891 | KS5 | Pure Mathematics | Trigonometry | Solve problems involving arc length and sector area (in radians). | Yes | drfrostmaths.com/keyskills.php?ksid=891 | |

Key Skill | K892 | KS5 | Pure Mathematics | Trigonometry | Solve a trigonometric equation in the form ||\sin \left(ax\right) = k|| where ||x|| is in radians. | Yes | drfrostmaths.com/keyskills.php?ksid=892 | |

Key Skill | K893 | KS5 | Pure Mathematics | Trigonometry | Use small angle approximations. | Yes | drfrostmaths.com/keyskills.php?ksid=893 | |

Key Skill | K894 | KS5 | Pure Mathematics | Trigonometry | Solve a trigonometric equation with ||\sec||, cosec and ||\cot|| in the form ||sec(ax+b) = k|| where ||x|| is in degrees | Yes | drfrostmaths.com/keyskills.php?ksid=894 | |

Key Skill | K895 | KS5 | Pure Mathematics | Trigonometry | Solve quadratic equations in terms of ||\sec||, ||\operatorname{cosec}|| or ||\cot||. | Yes | drfrostmaths.com/keyskills.php?ksid=895 | |

Key Skill | K896 | KS5 | Pure Mathematics | Trigonometry | Use the harmonic addition theorem to write ||a\cos x+b\sin x|| in the form ||R\cos(x+\alpha)||. | Yes | drfrostmaths.com/keyskills.php?ksid=896 | |

Key Skill | K897 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Apply the chain rule for functions in the form ||f(x)=a(bx+c)^d|| | Yes | drfrostmaths.com/keyskills.php?ksid=897 | |

Key Skill | K898 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Apply the chain rule for functions in the form ||f(x)=a(P(x))^b|| where ||P(x)|| is a polynomial. | Yes | drfrostmaths.com/keyskills.php?ksid=898 | |

Key Skill | K899 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Apply the chain rule: Logs, exponentials and basic trigonometric functions 1. | Yes | drfrostmaths.com/keyskills.php?ksid=899 | |

Key Skill | K900 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Apply the chain rule: Logs, exponentials and basic trigonometric functions 2. | Yes | drfrostmaths.com/keyskills.php?ksid=900 | |

Key Skill | K901 | KS5 | Pure Mathematics | Integration | Integrate standard functions (no chain rule). | Yes | drfrostmaths.com/keyskills.php?ksid=901 | |

Key Skill | K902 | KS5 | Pure Mathematics | Integration | Integrate standard functions in the form ||f(ax+b)||. | Yes | drfrostmaths.com/keyskills.php?ksid=902 | |

Key Skill | K903 | KS5 | Pure Mathematics | Integration | Integrate expressions in the form ||\int x^a(bx^c+d)^e dx|| by inspection. | Yes | drfrostmaths.com/keyskills.php?ksid=903 | |

Key Skill | K904 | KS5 | Statistics | Continuous Distributions | Calculate probabilities with the Normal distribution (no context). | Yes | drfrostmaths.com/keyskills.php?ksid=904 | |

Key Skill | K905 | KS5 | Statistics | Continuous Distributions | Use the inverse normal distribution. | Yes | drfrostmaths.com/keyskills.php?ksid=905 | |

Key Skill | K906 | KS5 | Statistics | Continuous Distributions | Use the inverse normal distribution with a double inequality. | Yes | drfrostmaths.com/keyskills.php?ksid=906 | |

Key Skill | K907 | KS5 | Statistics | Continuous Distributions | Find the mean of a normal distribution. | Yes | drfrostmaths.com/keyskills.php?ksid=907 | |

Key Skill | K908 | KS5 | Statistics | Continuous Distributions | Find the standard deviation of a normal distribution. | Yes | drfrostmaths.com/keyskills.php?ksid=908 | |

Key Skill | K909 | KS5 | Statistics | Continuous Distributions | Approximate a binomial distribution using the normal distribution. | Yes | drfrostmaths.com/keyskills.php?ksid=909 | |

Key Skill | K910 | KS5 | Mechanics | Moments | Calculate the moment of a force about a point. | Yes | drfrostmaths.com/keyskills.php?ksid=910 | |

Key Skill | K911 | KS5 | Mechanics | Moments | Calculate the resulting moment of perpendicular forces about a point. | Yes | drfrostmaths.com/keyskills.php?ksid=911 | |

Key Skill | K912 | KS5 | Mechanics | Moments | Calculate the resulting moment of inclined forces about a point. | Yes | drfrostmaths.com/keyskills.php?ksid=912 | |

Key Skill | K913 | KS5 | Mechanics | Moments | Find the reaction forces on a uniform rod resting on two supports. | Yes | drfrostmaths.com/keyskills.php?ksid=913 | |

Key Skill | K914 | KS5 | Mechanics | Moments | Find the distance of a support from a point on a uniform rod when the rod is in equilibrium. | Yes | drfrostmaths.com/keyskills.php?ksid=914 | |

Key Skill | K915 | KS5 | Mechanics | Moments | Find a distance on a uniform rod when reaction forces are connected. | Yes | drfrostmaths.com/keyskills.php?ksid=915 | |

Key Skill | K916 | KS5 | Mechanics | Moments | Find the reaction forces on a non-uniform rod resting on two supports. | Yes | drfrostmaths.com/keyskills.php?ksid=916 | |

Key Skill | K917 | KS5 | Mechanics | Moments | Find the centre of mass of a non-uniform rod resting on two supports. | Yes | drfrostmaths.com/keyskills.php?ksid=917 | |

Key Skill | K918 | KS5 | Mechanics | Moments | Find the centre of mass of a non-uniform rod resting on a single support. | Yes | drfrostmaths.com/keyskills.php?ksid=918 | |

Key Skill | K919 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the coefficient of friction where a horizontal force pull a particle in limiting equilibrium. | Yes | drfrostmaths.com/keyskills.php?ksid=919 | |

Key Skill | K920 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the coefficient of friction where an inclined force pull a particle in limiting equilibrium. | Yes | drfrostmaths.com/keyskills.php?ksid=920 | |

Key Skill | K921 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the acceleration of a particle on a rough horizontal plane pulled by a horizontal force. | Yes | drfrostmaths.com/keyskills.php?ksid=921 | |

Key Skill | K922 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the acceleration of a particle on a rough horizontal plane pulled by an inclined force. | Yes | drfrostmaths.com/keyskills.php?ksid=922 | |

Key Skill | K923 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the coefficient of friction of a particle accelerating on an inclined plane. | Yes | drfrostmaths.com/keyskills.php?ksid=923 | |

Key Skill | K924 | KS5 | Mechanics | Moments | Find the coefficient of friction of a ladder resting on a wall in limiting equilibrium. | Yes | drfrostmaths.com/keyskills.php?ksid=924 | |

Key Skill | K925 | KS5 | Mechanics | Kinematics in 2D | Find the horizontal displacement of a particle projected horizontally. | Yes | drfrostmaths.com/keyskills.php?ksid=925 | |

Key Skill | K926 | KS5 | Mechanics | Kinematics in 2D | Find the vertical displacement of a particle projected horizontally. | Yes | drfrostmaths.com/keyskills.php?ksid=926 | |

Key Skill | K927 | KS5 | Mechanics | Kinematics in 2D | Find the time taken for a particle to reach the ground after being projected horizontally. | Yes | drfrostmaths.com/keyskills.php?ksid=927 | |

Key Skill | K928 | KS5 | Mechanics | Kinematics in 2D | Find the initial velocity of a particle projected horizontally. | Yes | drfrostmaths.com/keyskills.php?ksid=928 | |

Key Skill | K929 | KS5 | Mechanics | Kinematics in 2D | Find the maximum height of a particle projected at an angle. | Yes | drfrostmaths.com/keyskills.php?ksid=929 | |

Key Skill | K930 | KS5 | Mechanics | Kinematics in 2D | Find the angle of projection of a particle given the maximum height it has reached. | Yes | drfrostmaths.com/keyskills.php?ksid=930 | |

Key Skill | K931 | KS5 | Mechanics | Kinematics in 2D | Find the initial velocity of a particle projected at an angle. | Yes | drfrostmaths.com/keyskills.php?ksid=931 | |

Key Skill | K932 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Find the acceleration of a particle pulled by a string on an inclined plane. | Yes | drfrostmaths.com/keyskills.php?ksid=932 | |

Key Skill | K933 | KS3/4 | Algebra | Algebraic Proofs | test | drfrostmaths.com/keyskills.php?ksid=933 | ||

Key Skill | K934 | KS5 | Pure Mathematics | Integration | Find an integral using a given substitution into ||x^n||. | Yes | drfrostmaths.com/keyskills.php?ksid=934 | |

Key Skill | K935 | KS5 | Pure Mathematics | Integration | Find an integral using integration by parts. | Yes | drfrostmaths.com/keyskills.php?ksid=935 | |

Key Skill | K936 | KS5 | Pure Mathematics | Integration | Find an integral using integration by parts twice. | Yes | drfrostmaths.com/keyskills.php?ksid=936 | |

Key Skill | K937 | KS5 | Further Pure Mathematics | Further Calculus | Integrate expressions leading to inverse trigonometric functions (no rearrangement). | drfrostmaths.com/keyskills.php?ksid=937 | ||

Key Skill | K938 | KS5 | Further Pure Mathematics | Further Calculus | Integrate expressions leading to inverse trigonometric functions (rearrangement required). | drfrostmaths.com/keyskills.php?ksid=938 | ||

Key Skill | K939 | KS5 | Further Statistics | Discrete Distributions | Calculate probabilities with the geometric distribution. | drfrostmaths.com/keyskills.php?ksid=939 | ||

Key Skill | K940 | KS5 | Further Statistics | Discrete Distributions | Find the mean or variance of a geometric distribution. | drfrostmaths.com/keyskills.php?ksid=940 | ||

Key Skill | K941 | KS5 | Further Statistics | Discrete Distributions | Calculate probabilities with the negative binomial distribution. | drfrostmaths.com/keyskills.php?ksid=941 | ||

Key Skill | K942 | KS5 | Further Statistics | Discrete Distributions | Find the mean or variance of a negative binomial distribution. | drfrostmaths.com/keyskills.php?ksid=942 | ||

Key Skill | K943 | KS5 | Further Pure Mathematics | Polar Coordinates | Convert from Cartesian coordinates to polar coordinates. | drfrostmaths.com/keyskills.php?ksid=943 | ||

Key Skill | K944 | KS5 | Further Statistics | Discrete Distributions | Calculate probabilities with the Poisson distribution. | drfrostmaths.com/keyskills.php?ksid=944 | ||

Key Skill | K945 | KS5 | Further Statistics | Discrete Distributions | Calculate probabilities with the Poisson distribution from a worded problem. | drfrostmaths.com/keyskills.php?ksid=945 | ||

Key Skill | K946 | KS5 | Further Statistics | Hypothesis Tests | Conduct a one-tailed hypothesis test on the mean of a Poisson distribution. | drfrostmaths.com/keyskills.php?ksid=946 | ||

Key Skill | K947 | KS5 | Further Statistics | Hypothesis Tests | Conduct a two-tailed hypothesis test on the mean of a Poisson distribution. | drfrostmaths.com/keyskills.php?ksid=947 | ||

Key Skill | K948 | KS5 | Further Statistics | Continuous Distributions | Use the central limit theorem. | drfrostmaths.com/keyskills.php?ksid=948 | ||

Key Skill | K949 | KS5 | Statistics | Discrete Distributions | Use a probability mass function to find a constant. | Yes | drfrostmaths.com/keyskills.php?ksid=949 | |

Key Skill | K950 | KS5 | Further Pure Mathematics | Hyperbolic Functions | Find exact values of hyperbolic functions. | drfrostmaths.com/keyskills.php?ksid=950 | ||

Key Skill | K951 | KS5 | Pure Mathematics | Algebraic Techniques | Write a fraction as a collection of terms by splitting the fraction. | drfrostmaths.com/keyskills.php?ksid=951 | ||

Key Skill | K952 | KS5 | Further Pure Mathematics | Complex Numbers | Manipulate expressions with complex numbers. | drfrostmaths.com/keyskills.php?ksid=952 | ||

Key Skill | K953 | KS5 | Further Pure Mathematics | Complex Numbers | Solve quadratic equations with complex solutions. | drfrostmaths.com/keyskills.php?ksid=953 | ||

Key Skill | K954 | KS5 | Further Pure Mathematics | Complex Numbers | Multiply two or more complex numbers. | drfrostmaths.com/keyskills.php?ksid=954 | ||

Key Skill | K955 | KS5 | Further Pure Mathematics | Complex Numbers | Divide a complex number by a complex number. | drfrostmaths.com/keyskills.php?ksid=955 | ||

Key Skill | K956 | KS5 | Further Pure Mathematics | Complex Numbers | Find a quadratic equation given one of its complex roots. | drfrostmaths.com/keyskills.php?ksid=956 | ||

Key Skill | K957 | KS5 | Further Pure Mathematics | Complex Numbers | Solve a cubic equation with complex roots. | drfrostmaths.com/keyskills.php?ksid=957 | ||

Key Skill | K958 | KS5 | Mechanics | Kinematics in 2D | Find the height of a particle projected at an unknown angle at a specific instant. | drfrostmaths.com/keyskills.php?ksid=958 | ||

Key Skill | K959 | KS3/4 | Number | Ratio & Proportion | Use the constant of proportionality for direct or inverse proportion involving a percentage change. | drfrostmaths.com/keyskills.php?ksid=959 | ||

Key Skill | K960 | KS5 | Further Pure Mathematics | Matrices | Multiply two matrices. | drfrostmaths.com/keyskills.php?ksid=960 | ||

Key Skill | K961 | KS2 | Algebra | Sequences | TEST | drfrostmaths.com/keyskills.php?ksid=961 | ||

Key Skill | K962 | KS5 | Further Mechanics | Momentum and impulse | Find the speed of a particle after receiving an impulse. | drfrostmaths.com/keyskills.php?ksid=962 | ||

Key Skill | K963 | KS5 | Further Mechanics | Momentum and impulse | Use the impulse-momentum principle for two particles, given the impulse due to the collision. | drfrostmaths.com/keyskills.php?ksid=963 | ||

Key Skill | K964 | KS5 | Further Statistics | Discrete Distributions | Calculate the skew of a set of data. | drfrostmaths.com/keyskills.php?ksid=964 | ||

Key Skill | K965 | KS5 | Further Statistics | Regression | Calculate Spearman's rank correlation coefficient. | drfrostmaths.com/keyskills.php?ksid=965 | ||

Key Skill | K966 | KS5 | Further Mechanics | Elastic strings and springs and elastic energy | Use Hooke's law to calculate the extension of a string. | drfrostmaths.com/keyskills.php?ksid=966 | ||

Key Skill | K967 | KS5 | Further Pure Mathematics | Further Vectors | Find a vector equation of a straight line given two points. | drfrostmaths.com/keyskills.php?ksid=967 | ||

Key Skill | K968 | KS5 | Further Pure Mathematics | Further Vectors | Find a Cartesian equation of a line given its vector equation. | drfrostmaths.com/keyskills.php?ksid=968 | ||

Key Skill | K969 | KS5 | Further Pure Mathematics | Further Vectors | Determine whether a point lies on a line given its vector equation. | drfrostmaths.com/keyskills.php?ksid=969 | ||

Key Skill | K970 | KS5 | Further Pure Mathematics | Further Vectors | Find an equation of a plane passing through 3 points. | drfrostmaths.com/keyskills.php?ksid=970 | ||

Key Skill | K971 | KS5 | Further Pure Mathematics | Further Vectors | Find a Cartesian equation of a plane given a point and the normal vector. | drfrostmaths.com/keyskills.php?ksid=971 | ||

Key Skill | K972 | KS5 | Further Pure Mathematics | Further Vectors | Find the scalar product of two vectors. | drfrostmaths.com/keyskills.php?ksid=972 | ||

Key Skill | K973 | KS5 | Further Pure Mathematics | Further Vectors | Find the angle between two vectors. | drfrostmaths.com/keyskills.php?ksid=973 | ||

Key Skill | K974 | KS5 | Further Pure Mathematics | Further Vectors | Find a constant given that two vectors are perpendicular. | drfrostmaths.com/keyskills.php?ksid=974 | ||

Key Skill | K975 | KS5 | Statistics | Discrete Distributions | Set up an inequality in a binomial distribution context. | drfrostmaths.com/keyskills.php?ksid=975 | ||

Key Skill | K976 | KS5 | Further Pure Mathematics | Further Vectors | Find the angle between two lines in vector form. | drfrostmaths.com/keyskills.php?ksid=976 | ||

Key Skill | K977 | KS5 | Pure Mathematics | Vectors | Determine the ratio a vector is broken into via another route and introduction of a scalar. | drfrostmaths.com/keyskills.php?ksid=977 | ||

Exam Skill | E1 | KS3/4 | Number | Basic Arithmetic | Know the place value of digits. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | drfrostmaths.com/videos.php?skid=453 |

Exam Skill | E2 | KS3/4 | Number | Basic Arithmetic | Put worded numbers into figures or vice versa. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | drfrostmaths.com/videos.php?skid=452 |

Exam Skill | E3 | KS3/4 | Number | Basic Arithmetic | Add and subtract whole numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | drfrostmaths.com/videos.php?skid=423 |

Exam Skill | E4 | KS3/4 | Number | Basic Arithmetic | Multiply numbers up to 3 digit by 3 digit. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | drfrostmaths.com/videos.php?skid=370 |

Exam Skill | E5 | KS3/4 | Number | Basic Arithmetic | Divide numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | drfrostmaths.com/videos.php?skid=371 |

Exam Skill | E6 | KS3/4 | Number | Powers, Roots & Laws of Indices | Understand power notation and calculate simple powers, e.g. squares, cubes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=15 | drfrostmaths.com/videos.php?skid=60 |

Exam Skill | E7 | KS3/4 | Number | Powers, Roots & Laws of Indices | Calculate the nth root of a number. | Yes | drfrostmaths.com/resourceexplorer.php?tid=15 | drfrostmaths.com/videos.php?skid=65 |

Exam Skill | E8 | KS3/4 | Number | Basic Arithmetic | Solve worded problems involving a mixture of addition, subtraction, multiplication and division. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | |

Exam Skill | E9 | KS3/4 | Number | Basic Arithmetic | Solve multiplication, addition and subtraction problems involving missing digits. | Yes | drfrostmaths.com/resourceexplorer.php?tid=1 | |

Exam Skill | E10 | KS3/4 | Number | Decimals | Multiply and divide numbers by powers of 10. | Yes | drfrostmaths.com/resourceexplorer.php?tid=6 | drfrostmaths.com/videos.php?skid=44 |

Exam Skill | E11 | KS3/4 | Number | Decimals | Order decimals. | Yes | drfrostmaths.com/resourceexplorer.php?tid=6 | drfrostmaths.com/videos.php?skid=424 |

Exam Skill | E12 | KS3/4 | Number | Decimals | Add or subtract decimal numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=6 | drfrostmaths.com/videos.php?skid=41 |

Exam Skill | E13 | KS3/4 | Number | Decimals | Multiply decimal numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=6 | drfrostmaths.com/videos.php?skid=42 |

Exam Skill | E14 | KS3/4 | Number | Decimals | Divide decimal numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=6 | drfrostmaths.com/videos.php?skid=43 |

Exam Skill | E15 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Read values off a scale. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | drfrostmaths.com/videos.php?skid=461 |

Exam Skill | E16 | KS3/4 | Number | Fractions | Understand equivalent fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=24 |

Exam Skill | E17 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert between non-recurring decimals, fractions and percentages. | Yes | drfrostmaths.com/resourceexplorer.php?tid=9 | drfrostmaths.com/videos.php?skid=38 |

Exam Skill | E18 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Order fractions, possibly with decimals. | Yes | drfrostmaths.com/resourceexplorer.php?tid=9 | |

Exam Skill | E19 | KS3/4 | Number | Factors, Multiples and Primes | Find factors or multiples of a number. | Yes | drfrostmaths.com/resourceexplorer.php?tid=7 | drfrostmaths.com/videos.php?skid=31 |

Exam Skill | E20 | KS3/4 | Number | Factors, Multiples and Primes | Identify prime numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=7 | drfrostmaths.com/videos.php?skid=33 |

Exam Skill | E21 | KS3/4 | Number | Rounding & Estimation | Round a number to the nearest whole, ten, hundred or thousand. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=45 |

Exam Skill | E22 | KS3/4 | Number | Rounding & Estimation | Round a number to a given number of decimal places. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=46 |

Exam Skill | E23 | KS3/4 | Shape, Space & Measures | Time | Find the difference between two times or the end time after a time has elapsed. | Yes | drfrostmaths.com/resourceexplorer.php?tid=32 | |

Exam Skill | E24 | KS3/4 | Shape, Space & Measures | Time | Interpret timetables (e.g. for buses and trains). | Yes | drfrostmaths.com/resourceexplorer.php?tid=32 | |

Exam Skill | E25 | KS3/4 | Shape, Space & Measures | Time | Make calculations involving dates and days of the week. | Yes | drfrostmaths.com/resourceexplorer.php?tid=32 | |

Exam Skill | E26 | KS3/4 | Shape, Space & Measures | Time | Tell the time from an analogue clock face. | Yes | drfrostmaths.com/resourceexplorer.php?tid=32 | |

Exam Skill | E27 | KS3/4 | Shape, Space & Measures | Time | Convert between 12-hour and 24-hours times and interpret phrases like "quarter to" and "half past". | Yes | drfrostmaths.com/resourceexplorer.php?tid=32 | drfrostmaths.com/videos.php?skid=470 |

Exam Skill | E28 | KS3/4 | Data Handling & Probability | Probability | Describe probabilities using either worded terms such as "Likely" or placed on a number line between 0 and 1. | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=460 |

Exam Skill | E29 | KS3/4 | Data Handling & Probability | Probability | List a sample space for one event or combined events. | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=391 |

Exam Skill | E30 | KS3/4 | Data Handling & Probability | Probability | Determine probabilities by considering the matching number of outcomes over the total number of outcomes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=393 |

Exam Skill | E31 | KS3/4 | Data Handling & Probability | Probability | Probability of mutually exclusive events. | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=432 |

Exam Skill | E32 | KS3/4 | Data Handling & Probability | Data Representation | Pictograms | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | drfrostmaths.com/videos.php?skid=458 |

Exam Skill | E33 | KS3/4 | Data Handling & Probability | Data Representation | Bar Charts | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | |

Exam Skill | E34 | KS3/4 | Data Handling & Probability | Data Representation | Two-way tables (and frequency trees). | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | drfrostmaths.com/videos.php?skid=462 |

Exam Skill | E35 | KS3/4 | Data Handling & Probability | Functional Skills | Read values from a table of data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=158 | |

Exam Skill | E36 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Use a conversion graph. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | |

Exam Skill | E37 | KS3/4 | Shape, Space & Measures | 2D Properties of Shapes | Understand the definition of different 2D shapes and their properties. | Yes | drfrostmaths.com/resourceexplorer.php?tid=21 | drfrostmaths.com/videos.php?skid=123 |

Exam Skill | E38 | KS3/4 | Shape, Space & Measures | Symmetry | Identify lines of symmetry in 2D shapes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=31 | drfrostmaths.com/videos.php?skid=154 |

Exam Skill | E39 | KS3/4 | Shape, Space & Measures | Symmetry | Identify the order of rotational symmetry. | Yes | drfrostmaths.com/resourceexplorer.php?tid=31 | drfrostmaths.com/videos.php?skid=156 |

Exam Skill | E40 | KS3/4 | Shape, Space & Measures | Angles | Understand and measure angles and identify the type of different angles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=454 |

Exam Skill | E41 | KS3/4 | Shape, Space & Measures | Angles | Know that the sum of the angles on a straight line is 180 degrees and angles around a point 360 degrees. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=131 |

Exam Skill | E42 | KS3/4 | Shape, Space & Measures | Angles | Know that the sum of the angles in a triangle is 180 degrees. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=130 |

Exam Skill | E43 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter and area of rectilinear shapes, including rectangles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | drfrostmaths.com/videos.php?skid=135 |

Exam Skill | E44 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a triangle. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | drfrostmaths.com/videos.php?skid=136 |

Exam Skill | E45 | KS3/4 | Shape, Space & Measures | Coordinates | Identify coordinates in all four quadrants. | Yes | drfrostmaths.com/resourceexplorer.php?tid=28 | drfrostmaths.com/videos.php?skid=146 |

Exam Skill | E46 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert between metric units of measure. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | |

Exam Skill | E47 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Substitute values into an algebraic expression. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=114 |

Exam Skill | E48 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Collect like terms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=3 |

Exam Skill | E49 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Multiply single algebraic terms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=4 |

Exam Skill | E50 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Divide single algebraic terms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=5 |

Exam Skill | E51 | KS3/4 | Algebra | Expanding Brackets | Expand a single bracket. | Yes | drfrostmaths.com/resourceexplorer.php?tid=41 | drfrostmaths.com/videos.php?skid=77 |

Exam Skill | E52 | KS3/4 | Algebra | Sequences | Continue a sequence. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | drfrostmaths.com/videos.php?skid=468 |

Exam Skill | E53 | KS3/4 | Algebra | Sequences | Find terms of a sequence given a term-to-term rule. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | drfrostmaths.com/videos.php?skid=85 |

Exam Skill | E54 | KS3/4 | Algebra | Sequences | Find the nth term formula for a linear sequence. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | drfrostmaths.com/videos.php?skid=86 |

Exam Skill | E55 | KS3/4 | Algebra | Sequences | Determine if a term belongs to a sequence. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | drfrostmaths.com/videos.php?skid=89 |

Exam Skill | E56 | KS3/4 | Algebra | Sequences | Find terms of a sequence given a position-to-term rule. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | drfrostmaths.com/videos.php?skid=84 |

Exam Skill | E57 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form algebraic expressions from context. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | |

Exam Skill | E58 | KS3/4 | Number | Fractions | Convert between mixed numbers and improper fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=25 |

Exam Skill | E59 | KS3/4 | Number | Fractions | Add or subtract proper/improper fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=20 |

Exam Skill | E60 | KS3/4 | Number | Fractions | Multiply fractions/mixed numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=21 |

Exam Skill | E61 | KS3/4 | Number | Fractions | Divide fractions/mixed numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=22 |

Exam Skill | E62 | KS3/4 | Number | Fractions | Find a fraction of an amount. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=28 |

Exam Skill | E63 | KS3/4 | Number | Fractions | Find an original amount before a fraction of it was taken. | Yes | drfrostmaths.com/resourceexplorer.php?tid=8 | drfrostmaths.com/videos.php?skid=29 |

Exam Skill | E64 | KS3/4 | Number | Negative Numbers | Order a mixture of negative and positive numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=11 | drfrostmaths.com/videos.php?skid=455 |

Exam Skill | E65 | KS3/4 | Number | Negative Numbers | Add or subtract a mixture of positive and negative numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=11 | drfrostmaths.com/videos.php?skid=1 |

Exam Skill | E66 | KS3/4 | Number | Negative Numbers | Multiply or divide a mixture of positive and negative numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=11 | drfrostmaths.com/videos.php?skid=2 |

Exam Skill | E67 | KS3/4 | Number | Order of Operations | Understand the order in which operators in an expression are evaluated according to BIDMAS. | Yes | drfrostmaths.com/resourceexplorer.php?tid=12 | drfrostmaths.com/videos.php?skid=120 |

Exam Skill | E68 | KS3/4 | Number | Calculator Use | Use a scientific calculator. | Yes | drfrostmaths.com/resourceexplorer.php?tid=4 | |

Exam Skill | E69 | KS3/4 | Number | Ratio & Proportion | Simplify ratios and form ratios from context. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | drfrostmaths.com/videos.php?skid=73 |

Exam Skill | E70 | KS3/4 | Number | Ratio & Proportion | Find a quantity within a ratio where either the total amount, a particular amount or a difference in an amount is given. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | drfrostmaths.com/videos.php?skid=74 |

Exam Skill | E71 | KS3/4 | Number | Ratio & Proportion | Combine ratios and proportions into a single ratio. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | |

Exam Skill | E72 | KS3/4 | Number | Percentages | Find what percentage one number is of another. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | drfrostmaths.com/videos.php?skid=53 |

Exam Skill | E73 | KS3/4 | Number | Percentages | Determine a percentage change. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | drfrostmaths.com/videos.php?skid=54 |

Exam Skill | E74 | KS3/4 | Number | Percentages | Find a simple percentage of an amount, using non-calculator methods. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | drfrostmaths.com/videos.php?skid=55 |

Exam Skill | E75 | KS3/4 | Number | Percentages | Find a value after a simple percentage change, using non-calculator methods. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | drfrostmaths.com/videos.php?skid=56 |

Exam Skill | E76 | KS3/4 | Number | Percentages | Find a percentage of an amount, using decimal multipliers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | |

Exam Skill | E77 | KS3/4 | Number | Percentages | Find a value after a general percentage change, using decimal multipliers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | |

Exam Skill | E78 | KS3/4 | Number | Factors, Multiples and Primes | Find the prime factorisation of a number. | Yes | drfrostmaths.com/resourceexplorer.php?tid=7 | drfrostmaths.com/videos.php?skid=30 |

Exam Skill | E79 | KS3/4 | Number | Factors, Multiples and Primes | Find the Lower Common Multiple or Highest Common Factor of two numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=7 | drfrostmaths.com/videos.php?skid=32 |

Exam Skill | E80 | KS3/4 | Number | Factors, Multiples and Primes | Know the divisibility laws from 3 to 11 and deal with larger divisors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=7 | |

Exam Skill | E81 | KS3/4 | Number | Rounding & Estimation | Round a number to a given number of significant figures. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=47 |

Exam Skill | E82 | KS3/4 | Number | Rounding & Estimation | Estimate the result of a calculation by first rounding each number. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=48 |

Exam Skill | E83 | KS3/4 | Number | Ratio & Proportion | Appreciate multiplicative scaling in a variety of contexts, including ingredients. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | drfrostmaths.com/videos.php?skid=76 |

Exam Skill | E84 | KS3/4 | Number | Ratio & Proportion | Extend multiplicative scaling to quantities which are inversely proportional. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | drfrostmaths.com/videos.php?skid=397 |

Exam Skill | E85 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert between general units, including currency. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | |

Exam Skill | E86 | KS3/4 | Number | Bases | Appreciate the base of a number system and count in different bases. | Yes | drfrostmaths.com/resourceexplorer.php?tid=2 | |

Exam Skill | E87 | KS3/4 | Number | Bases | Convert numbers to decimal from another base. | Yes | drfrostmaths.com/resourceexplorer.php?tid=2 | |

Exam Skill | E88 | KS3/4 | Number | Bases | Convert a number from decimal to another base. | Yes | drfrostmaths.com/resourceexplorer.php?tid=2 | |

Exam Skill | E89 | KS3/4 | Data Handling & Probability | Averages and Range | Mean, mode, median, range from listed data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=54 | drfrostmaths.com/videos.php?skid=382 |

Exam Skill | E90 | KS3/4 | Data Handling & Probability | Averages and Range | Combine means or deal with changes to a mean. | Yes | drfrostmaths.com/resourceexplorer.php?tid=54 | drfrostmaths.com/videos.php?skid=386 |

Exam Skill | E91 | KS3/4 | Data Handling & Probability | Frequency Tables | Calculate mean from ungrouped frequency tables | Yes | drfrostmaths.com/resourceexplorer.php?tid=159 | drfrostmaths.com/videos.php?skid=385 |

Exam Skill | E92 | KS3/4 | Data Handling & Probability | Frequency Tables | Calculate mean from grouped frequency tables | Yes | drfrostmaths.com/resourceexplorer.php?tid=159 | drfrostmaths.com/videos.php?skid=435 |

Exam Skill | E93 | KS3/4 | Data Handling & Probability | Frequency Tables | Form a grouped or ungrouped frequency table. | Yes | drfrostmaths.com/resourceexplorer.php?tid=159 | drfrostmaths.com/videos.php?skid=465 |

Exam Skill | E94 | KS3/4 | Data Handling & Probability | Frequency Tables | Determine the range, mode or modal class interval from a frequency table. | Yes | drfrostmaths.com/resourceexplorer.php?tid=159 | drfrostmaths.com/videos.php?skid=466 |

Exam Skill | E95 | KS3/4 | Data Handling & Probability | Frequency Tables | Determine the median or median class interval from a frequency table. | Yes | drfrostmaths.com/resourceexplorer.php?tid=159 | drfrostmaths.com/videos.php?skid=467 |

Exam Skill | E96 | KS3/4 | Data Handling & Probability | Data Representation | Scatter Graphs and Correlation | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | |

Exam Skill | E97 | KS3/4 | Data Handling & Probability | Data Representation | Stem & Leaf Diagrams | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | |

Exam Skill | E98 | KS3/4 | Data Handling & Probability | Data Representation | Pie Charts | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | |

Exam Skill | E99 | KS3/4 | Data Handling & Probability | Data Representation | Frequency Polygons | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | drfrostmaths.com/videos.php?skid=377 |

Exam Skill | E100 | KS3/4 | Data Handling & Probability | Probability | Experimental vs Theoretical probabilities, and calculate the former. | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=389 |

Exam Skill | E101 | KS3/4 | Data Handling & Probability | Data Collection | Sampling methods, including random and stratified sampling. | Yes | drfrostmaths.com/resourceexplorer.php?tid=53 | |

Exam Skill | E102 | KS3/4 | Data Handling & Probability | Data Collection | Design and critique questionnaire questions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=53 | |

Exam Skill | E103 | KS3/4 | Shape, Space & Measures | Transformations | Rotate a shape by a given angle around a given point. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=10 |

Exam Skill | E104 | KS3/4 | Shape, Space & Measures | Transformations | Translate a shape by a given vector. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=8 |

Exam Skill | E105 | KS3/4 | Shape, Space & Measures | Transformations | Describe a translation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=9 |

Exam Skill | E106 | KS3/4 | Shape, Space & Measures | Transformations | Describe a rotation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=11 |

Exam Skill | E107 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the circumference of a full circle. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | |

Exam Skill | E108 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a full circle. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | drfrostmaths.com/videos.php?skid=138 |

Exam Skill | E109 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area or perimeter of simple fractions of circles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | |

Exam Skill | E110 | KS3/4 | Shape, Space & Measures | Circle Theorems | Know key terms in relation to circles, including chord and segment. | Yes | drfrostmaths.com/resourceexplorer.php?tid=26 | drfrostmaths.com/videos.php?skid=142 |

Exam Skill | E111 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of a non-rectangular quadrilaterals, including trapeziums, parallelograms and kites. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | drfrostmaths.com/videos.php?skid=137 |

Exam Skill | E112 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area of composite shapes by adding or subtracting areas. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | drfrostmaths.com/videos.php?skid=139 |

Exam Skill | E113 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the perimeter of compound shapes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | |

Exam Skill | E114 | KS3/4 | Shape, Space & Measures | Angles | Appreciate that base angles of an isosceles triangle are equal. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=170 |

Exam Skill | E115 | KS3/4 | Shape, Space & Measures | Angles | Recognise vertically opposite, alternate, corresponding and cointerior angles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=132 |

Exam Skill | E116 | KS3/4 | Shape, Space & Measures | Angles | Understand angles properties of a quadrilateral. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=133 |

Exam Skill | E117 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cuboid. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=126 |

Exam Skill | E118 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a prism. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=125 |

Exam Skill | E119 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cuboid or other non-curved solids. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=427 |

Exam Skill | E120 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a cylinder. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=442 |

Exam Skill | E121 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cylinder. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=475 |

Exam Skill | E122 | KS3/4 | Shape, Space & Measures | Coordinates | Find the midpoint of two points. | Yes | drfrostmaths.com/resourceexplorer.php?tid=28 | drfrostmaths.com/videos.php?skid=148 |

Exam Skill | E123 | KS3/4 | Shape, Space & Measures | Coordinates | Understand and use 3D coordinates. | Yes | drfrostmaths.com/resourceexplorer.php?tid=28 | |

Exam Skill | E124 | KS3/4 | Shape, Space & Measures | Angles | Solve problems involving bearings (excluding trigonometry). | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | |

Exam Skill | E125 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Construct distance-time graphs. | Yes | drfrostmaths.com/resourceexplorer.php?tid=157 | |

Exam Skill | E126 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Determine the velocity from a distance-time graph. | Yes | drfrostmaths.com/resourceexplorer.php?tid=157 | drfrostmaths.com/videos.php?skid=446 |

Exam Skill | E127 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Know the approximate conversions between metric and imperial units. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | drfrostmaths.com/videos.php?skid=429 |

Exam Skill | E128 | KS3/4 | Shape, Space & Measures | 3D Shapes | Understand the definition of different 3D shapes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=23 | drfrostmaths.com/videos.php?skid=124 |

Exam Skill | E129 | KS3/4 | Shape, Space & Measures | Symmetry | Identify planes of symmetry in 3D shapes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=31 | |

Exam Skill | E130 | KS3/4 | Shape, Space & Measures | 3D Shapes | Reason about number of edges, faces and vertices on a 3D shape. | Yes | drfrostmaths.com/resourceexplorer.php?tid=23 | |

Exam Skill | E131 | KS3/4 | Shape, Space & Measures | Angles | Introduce and use algebraic angles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=134 |

Exam Skill | E132 | KS3/4 | Algebra | Inequalities | Represent solutions of an inequality on a number line. | Yes | drfrostmaths.com/resourceexplorer.php?tid=44 | drfrostmaths.com/videos.php?skid=95 |

Exam Skill | E133 | KS3/4 | Algebra | Inequalities | Solve linear inequalities. | Yes | drfrostmaths.com/resourceexplorer.php?tid=44 | drfrostmaths.com/videos.php?skid=93 |

Exam Skill | E134 | KS3/4 | Algebra | Factorising | Factorise out a single term. | Yes | drfrostmaths.com/resourceexplorer.php?tid=42 | drfrostmaths.com/videos.php?skid=79 |

Exam Skill | E135 | KS3/4 | Algebra | Expanding Brackets | Expand two brackets. | Yes | drfrostmaths.com/resourceexplorer.php?tid=41 | drfrostmaths.com/videos.php?skid=78 |

Exam Skill | E136 | KS3/4 | Algebra | Expanding Brackets | Expand three (or more) brackets. | Yes | drfrostmaths.com/resourceexplorer.php?tid=41 | |

Exam Skill | E137 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject appears once only. | Yes | drfrostmaths.com/resourceexplorer.php?tid=39 | drfrostmaths.com/videos.php?skid=14 |

Exam Skill | E138 | KS3/4 | Algebra | Functions | Find inputs and outputs of number machines. | Yes | drfrostmaths.com/resourceexplorer.php?tid=155 | drfrostmaths.com/videos.php?skid=459 |

Exam Skill | E139 | KS3/4 | Algebra | Solving Equations | Solve linear equations where the variable appears on both sides of the equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=481 |

Exam Skill | E140 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form linear equations from context. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | |

Exam Skill | E141 | KS3/4 | Algebra | Solving Equations | Solve linear equations where the variable appears on one side of the equation only. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=17 |

Exam Skill | E142 | KS3/4 | Algebra | Solving Equations | Solve linear equations involving fractions . | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=403 |

Exam Skill | E143 | KS3/4 | Algebra | Solving Equations | Solve equations involving a power of a variable (including roots) where the variable appears once only. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=464 |

Exam Skill | E144 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations using graphical methods. | Yes | drfrostmaths.com/resourceexplorer.php?tid=47 | |

Exam Skill | E145 | KS3/4 | Algebra | Simultaneous Equations | Solve linear simultaneous equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=47 | drfrostmaths.com/videos.php?skid=90 |

Exam Skill | E146 | KS3/4 | Algebra | Factorising | Factorise quadratics of the form x^{2} + bx + c. | Yes | drfrostmaths.com/resourceexplorer.php?tid=42 | drfrostmaths.com/videos.php?skid=80 |

Exam Skill | E147 | KS3/4 | Algebra | Factorising | Factorise the difference of two squares. | Yes | drfrostmaths.com/resourceexplorer.php?tid=42 | drfrostmaths.com/videos.php?skid=82 |

Exam Skill | E148 | KS3/4 | Algebra | Factorising | Factorise a quadratic where the coefficient of the x^{2} term is not 1. | Yes | drfrostmaths.com/resourceexplorer.php?tid=42 | drfrostmaths.com/videos.php?skid=81 |

Exam Skill | E149 | KS3/4 | Algebra | Straight Line Graphs | Appreciate that a point on a line must satisfy its equation, and be able to determine x and y intercepts of a line. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=97 |

Exam Skill | E150 | KS3/4 | Algebra | Straight Line Graphs | Be able to draw a line using its equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=96 |

Exam Skill | E151 | KS3/4 | Algebra | Straight Line Graphs | Find the gradient of a line given two points. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=98 |

Exam Skill | E152 | KS3/4 | Algebra | Straight Line Graphs | Find the gradient or y-intercept of a straight line given its equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=99 |

Exam Skill | E153 | KS3/4 | Algebra | Straight Line Graphs | Determine the equation of a straight line. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=100 |

Exam Skill | E154 | KS3/4 | Algebra | Straight Line Graphs | Appreciate that parallel lines have the same gradient. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=101 |

Exam Skill | E155 | KS3/4 | Algebra | Sequences | Find the nth term formula for a quadratic sequence. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | drfrostmaths.com/videos.php?skid=87 |

Exam Skill | E156 | KS3/4 | Algebra | Sequences | Determine the nth term formula for more complicated sequences, e.g. geometric. | Yes | drfrostmaths.com/resourceexplorer.php?tid=46 | |

Exam Skill | E157 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Multiply and divide algebraic fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=400 |

Exam Skill | E158 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Simplify single algebraic fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=399 |

Exam Skill | E159 | KS3/4 | Algebra | Curved Graphs | Plot quadratic, cubic, exponential and reciprocal graphs. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=105 |

Exam Skill | E160 | KS3/4 | Algebra | Curved Graphs | Plot and recognise graphs/equations of circles, centred at the origin. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=107 |

Exam Skill | E161 | KS3/4 | Algebra | Curved Graphs | Sketch a quadratic graph by finding its intercepts with the axes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=117 |

Exam Skill | E162 | KS3/4 | Number | Percentages | Find a value before a percentage change or before a percentage was taken. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | drfrostmaths.com/videos.php?skid=58 |

Exam Skill | E163 | KS3/4 | Number | Percentages | Calculate values after compound percentage changes, e.g. compound interest. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | drfrostmaths.com/videos.php?skid=59 |

Exam Skill | E164 | KS3/4 | Number | Percentages | Solve compound interest problems with unknown period or step percentage change. | Yes | drfrostmaths.com/resourceexplorer.php?tid=13 | |

Exam Skill | E165 | KS3/4 | Number | Powers, Roots & Laws of Indices | Use laws of indices for multiplying powers, dividing powers and raising a power to a power. Deal with a power of 0. | Yes | drfrostmaths.com/resourceexplorer.php?tid=15 | drfrostmaths.com/videos.php?skid=61 |

Exam Skill | E166 | KS3/4 | Number | Powers, Roots & Laws of Indices | Deal with negative indices. | Yes | drfrostmaths.com/resourceexplorer.php?tid=15 | drfrostmaths.com/videos.php?skid=62 |

Exam Skill | E167 | KS3/4 | Number | Powers, Roots & Laws of Indices | Be able to express a power using a different base, e.g. 4^{6} = 2^{12}. | Yes | drfrostmaths.com/resourceexplorer.php?tid=15 | drfrostmaths.com/videos.php?skid=64 |

Exam Skill | E168 | KS3/4 | Number | Standard Form | Convert a normal number to standard form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=18 | drfrostmaths.com/videos.php?skid=49 |

Exam Skill | E169 | KS3/4 | Number | Standard Form | Convert a number in standard form to a normal number. | Yes | drfrostmaths.com/resourceexplorer.php?tid=18 | drfrostmaths.com/videos.php?skid=50 |

Exam Skill | E170 | KS3/4 | Number | Standard Form | Add or subtract numbers in standard form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=18 | drfrostmaths.com/videos.php?skid=52 |

Exam Skill | E171 | KS3/4 | Number | Standard Form | Multiply and divide numbers in standard form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=18 | drfrostmaths.com/videos.php?skid=51 |

Exam Skill | E172 | KS3/4 | Number | Rounding & Estimation | Calculate the upper and lower bound of rounded values or identify an error interval. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=168 |

Exam Skill | E173 | KS3/4 | Number | Rounding & Estimation | Truncate a number to a given number of decimal places. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=431 |

Exam Skill | E174 | KS3/4 | Number | Rounding & Estimation | Use lower and upper bounds within calculations to calculate a further lower/upper bound. | Yes | drfrostmaths.com/resourceexplorer.php?tid=17 | drfrostmaths.com/videos.php?skid=436 |

Exam Skill | E175 | KS3/4 | Number | Sets | Construct Venn Diagrams. | Yes | drfrostmaths.com/resourceexplorer.php?tid=151 | drfrostmaths.com/videos.php?skid=401 |

Exam Skill | E176 | KS3/4 | Number | Sets | Understand union, intersection and complements of sets, including the universal and empty sets. | Yes | drfrostmaths.com/resourceexplorer.php?tid=151 | drfrostmaths.com/videos.php?skid=402 |

Exam Skill | E177 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert from a recurring decimal to a fraction. | Yes | drfrostmaths.com/resourceexplorer.php?tid=9 | drfrostmaths.com/videos.php?skid=40 |

Exam Skill | E178 | KS3/4 | Number | Fractions, Decimal & Percentage Equivalences | Convert from a fraction to a recurring decimal. | Yes | drfrostmaths.com/resourceexplorer.php?tid=9 | drfrostmaths.com/videos.php?skid=39 |

Exam Skill | E179 | KS3/4 | Number | Ratio & Proportion | Establish the constant of proportionality for variables which are directly or inversely proportional. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | drfrostmaths.com/videos.php?skid=398 |

Exam Skill | E180 | KS3/4 | Number | Combinations & Permutations | Appreciate that if different selections are independent, each with a number of choices, then the total number of combinations is the product of these. | Yes | drfrostmaths.com/resourceexplorer.php?tid=5 | drfrostmaths.com/videos.php?skid=71 |

Exam Skill | E181 | KS3/4 | Number | Combinations & Permutations | Use non-multiplicative approaches to counting, including case analysis. | Yes | drfrostmaths.com/resourceexplorer.php?tid=5 | |

Exam Skill | E182 | KS3/4 | Number | Combinations & Permutations | Explicitly enumerate all combinations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=5 | drfrostmaths.com/videos.php?skid=72 |

Exam Skill | E183 | KS3/4 | Shape, Space & Measures | Angles | Interior and exterior angles of regular and irregular polygons. | Yes | drfrostmaths.com/resourceexplorer.php?tid=24 | drfrostmaths.com/videos.php?skid=374 |

Exam Skill | E184 | KS3/4 | Shape, Space & Measures | Trigonometry | Determine the length of sides in a right-angled triangle using trigonometry. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | drfrostmaths.com/videos.php?skid=159 |

Exam Skill | E185 | KS3/4 | Shape, Space & Measures | Trigonometry | Determine angles in a right-angled triangle using trigonometry. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | drfrostmaths.com/videos.php?skid=160 |

Exam Skill | E186 | KS3/4 | Shape, Space & Measures | Trigonometry | Determine the exact values of certain trigonometric angles, e.g. sin(30). | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | drfrostmaths.com/videos.php?skid=164 |

Exam Skill | E187 | KS3/4 | Shape, Space & Measures | Transformations | Reflect a shape in a line with given equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=6 |

Exam Skill | E188 | KS3/4 | Shape, Space & Measures | Transformations | Describe a reflection. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=7 |

Exam Skill | E189 | KS3/4 | Shape, Space & Measures | Transformations | Enlarge a shape by a given scale factor around a given centre of enlargement. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=12 |

Exam Skill | E190 | KS3/4 | Shape, Space & Measures | Transformations | Describe an enlargement. | Yes | drfrostmaths.com/resourceexplorer.php?tid=33 | drfrostmaths.com/videos.php?skid=13 |

Exam Skill | E191 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find the area or arc length of more general sectors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=25 | drfrostmaths.com/videos.php?skid=417 |

Exam Skill | E192 | KS3/4 | Shape, Space & Measures | Pythagoras | Solve 2D problems using Pythagoras' Theorem. | Yes | drfrostmaths.com/resourceexplorer.php?tid=29 | drfrostmaths.com/videos.php?skid=149 |

Exam Skill | E193 | KS3/4 | Algebra | Straight Line Graphs | Find the distance between two points given their coordinates. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=414 |

Exam Skill | E194 | KS3/4 | Shape, Space & Measures | Pythagoras | Solve problems involving 3D shapes using Pythagoras' Theorem and trigonometry. | Yes | drfrostmaths.com/resourceexplorer.php?tid=29 | drfrostmaths.com/videos.php?skid=150 |

Exam Skill | E195 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Speed, distance and time. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | drfrostmaths.com/videos.php?skid=167 |

Exam Skill | E196 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Pressure / Density / Rate of Flow | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | drfrostmaths.com/videos.php?skid=449 |

Exam Skill | E197 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Solve problems involving finding lengths in similar shapes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=30 | drfrostmaths.com/videos.php?skid=151 |

Exam Skill | E198 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Understand relationship between scale factors of length, area and volume. | Yes | drfrostmaths.com/resourceexplorer.php?tid=30 | drfrostmaths.com/videos.php?skid=152 |

Exam Skill | E199 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Convert between units of area and volume. | Yes | drfrostmaths.com/resourceexplorer.php?tid=35 | drfrostmaths.com/videos.php?skid=166 |

Exam Skill | E200 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Construct a variety of shapes, angle bisectors and perpendicular bisectors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=27 | drfrostmaths.com/videos.php?skid=143 |

Exam Skill | E201 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Loci. | Yes | drfrostmaths.com/resourceexplorer.php?tid=27 | |

Exam Skill | E202 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Understand map scales. | Yes | drfrostmaths.com/resourceexplorer.php?tid=27 | drfrostmaths.com/videos.php?skid=144 |

Exam Skill | E203 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Draw the front elevation, side elevation or plan of a 3D shape. | Yes | drfrostmaths.com/resourceexplorer.php?tid=27 | drfrostmaths.com/videos.php?skid=451 |

Exam Skill | E204 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Determine the exact distance from a velocity-time graph. | Yes | drfrostmaths.com/resourceexplorer.php?tid=157 | drfrostmaths.com/videos.php?skid=448 |

Exam Skill | E205 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Estimate distance from a curved velocity-time graph by use of trapeziums. | Yes | drfrostmaths.com/resourceexplorer.php?tid=157 | drfrostmaths.com/videos.php?skid=450 |

Exam Skill | E206 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Construct velocity-time graphs. | Yes | drfrostmaths.com/resourceexplorer.php?tid=157 | |

Exam Skill | E207 | KS3/4 | Algebra | Curved Graphs | Estimate the gradient of a curve at a given point. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=471 |

Exam Skill | E208 | KS3/4 | Shape, Space & Measures | Distance/Velocity Time Graphs | Determine the acceleration from a velocity-time graph. | Yes | drfrostmaths.com/resourceexplorer.php?tid=157 | drfrostmaths.com/videos.php?skid=447 |

Exam Skill | E209 | KS3/4 | Data Handling & Probability | Averages and Range | Quartiles from listed data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=54 | drfrostmaths.com/videos.php?skid=383 |

Exam Skill | E210 | KS3/4 | Data Handling & Probability | Averages and Range | Box plots. | Yes | drfrostmaths.com/resourceexplorer.php?tid=54 | drfrostmaths.com/videos.php?skid=388 |

Exam Skill | E211 | KS3/4 | Data Handling & Probability | Averages and Range | Cumulative Frequency Graphs | Yes | drfrostmaths.com/resourceexplorer.php?tid=54 | drfrostmaths.com/videos.php?skid=387 |

Exam Skill | E212 | KS3/4 | Data Handling & Probability | Probability | Successive independent events (including tree diagrams). | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=390 |

Exam Skill | E213 | KS3/4 | Data Handling & Probability | Probability | Successive dependent events, i.e. sampling without replacement (including tree diagrams). | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | drfrostmaths.com/videos.php?skid=392 |

Exam Skill | E214 | KS3/4 | Algebra | Simultaneous Equations | Solve simultaneous equations where one is quadratic, one is linear. | Yes | drfrostmaths.com/resourceexplorer.php?tid=47 | drfrostmaths.com/videos.php?skid=91 |

Exam Skill | E215 | KS3/4 | Algebra | Simultaneous Equations | Solve linear simultaneous equations involving 3 (or more) unknowns. (FM only) | Yes | drfrostmaths.com/resourceexplorer.php?tid=47 | |

Exam Skill | E216 | KS3/4 | Algebra | Changing the Subject | Change the subject of a formula where the subject appears multiple times. | Yes | drfrostmaths.com/resourceexplorer.php?tid=39 | drfrostmaths.com/videos.php?skid=15 |

Exam Skill | E217 | KS3/4 | Algebra | Straight Line Graphs | Know the relationship between the gradients of perpendicular lines. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=102 |

Exam Skill | E218 | KS3/4 | Algebra | Straight Line Graphs | Find the point of intersection of two lines given their equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=413 |

Exam Skill | E219 | KS3/4 | Algebra | Straight Line Graphs | Determine the equation of a tangent to a circle. | Yes | drfrostmaths.com/resourceexplorer.php?tid=49 | drfrostmaths.com/videos.php?skid=437 |

Exam Skill | E220 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Complete the square to put an expression in the form (x+a)^{2} + b | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=119 |

Exam Skill | E221 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Complete the square to put an expression in the form a(x+b)^{2} + c | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | |

Exam Skill | E222 | KS3/4 | Algebra | Curved Graphs | Identify the minimum or maximum point of a quadratic graph by completing the square. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=118 |

Exam Skill | E223 | KS3/4 | Algebra | Transformations of Curves | Understand the effect of the transformations y = f(x+a), y = f(ax), y = af(x) and y = f(x)+a. | Yes | drfrostmaths.com/resourceexplorer.php?tid=50 | drfrostmaths.com/videos.php?skid=103 |

Exam Skill | E224 | KS3/4 | Algebra | Transformations of Curves | Determine the equation of a new curve given a transformation drawn on a graph. | Yes | drfrostmaths.com/resourceexplorer.php?tid=50 | |

Exam Skill | E225 | KS3/4 | Algebra | Iteration | Approximate a solution to an equation using iteration. | Yes | drfrostmaths.com/resourceexplorer.php?tid=156 | |

Exam Skill | E226 | KS3/4 | Algebra | Functions | Understand the concept of functions, find an output given an input and vice versa. | Yes | drfrostmaths.com/resourceexplorer.php?tid=155 | drfrostmaths.com/videos.php?skid=440 |

Exam Skill | E227 | KS3/4 | Algebra | Functions | Inverse functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=155 | drfrostmaths.com/videos.php?skid=438 |

Exam Skill | E228 | KS3/4 | Algebra | Functions | Composite functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=155 | drfrostmaths.com/videos.php?skid=439 |

Exam Skill | E229 | KS3/4 | Algebra | Functions | Understand the domain and range of a function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=155 | |

Exam Skill | E230 | KS3/4 | Algebra | Algebraic Proofs | Understand and identify counterexamples to a statement. | Yes | drfrostmaths.com/resourceexplorer.php?tid=38 | drfrostmaths.com/videos.php?skid=112 |

Exam Skill | E231 | KS3/4 | Algebra | Algebraic Proofs | Use algebraic techniques to prove a statement in the general case. | Yes | drfrostmaths.com/resourceexplorer.php?tid=38 | drfrostmaths.com/videos.php?skid=113 |

Exam Skill | E232 | KS3/4 | Algebra | Inequalities | Solve quadratic inequalities. | Yes | drfrostmaths.com/resourceexplorer.php?tid=44 | drfrostmaths.com/videos.php?skid=94 |

Exam Skill | E233 | KS3/4 | Algebra | Inequalities | Identify regions in 2D indicated by one or more inequalities. | Yes | drfrostmaths.com/resourceexplorer.php?tid=44 | drfrostmaths.com/videos.php?skid=396 |

Exam Skill | E234 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Add or subtract algebraic fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | drfrostmaths.com/videos.php?skid=18 |

Exam Skill | E235 | KS3/4 | Algebra | Curved Graphs | Find the values of p and q in the exponential function y=pq^{x} given coordinates on the graph of y=pq^{x}. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=111 |

Exam Skill | E236 | KS3/4 | Algebra | Curved Graphs | Use graphs to find approximate solutions to equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | |

Exam Skill | E237 | KS3/4 | Algebra | Curved Graphs | Recognise the shape and behaviour of cubic, reciprocal and exponential graphs based on their equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=476 |

Exam Skill | E238 | KS3/4 | Algebra | Solving Equations | Solve equations involving fractions that lead to a quadratic. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | |

Exam Skill | E239 | KS3/4 | Algebra | Solving Equations | Solve quadratic equations by factorisation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=16 |

Exam Skill | E240 | KS3/4 | Algebra | Solving Equations | Solve quadratic equations by using the quadratic formula. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=121 |

Exam Skill | E241 | KS3/4 | Algebra | Solving Equations | Solve quadratic equations by completing the square. | Yes | drfrostmaths.com/resourceexplorer.php?tid=48 | drfrostmaths.com/videos.php?skid=122 |

Exam Skill | E242 | KS3/4 | Algebra | Formulae and Simplifying Expressions | Form quadratic or non-linear equations from context. | Yes | drfrostmaths.com/resourceexplorer.php?tid=43 | |

Exam Skill | E243 | KS3/4 | Algebra | Trial & Improvement | Estimate solutions to equations using trial and improvement. | Yes | drfrostmaths.com/resourceexplorer.php?tid=51 | |

Exam Skill | E244 | KS3/4 | Algebra | Curved Graphs | Plot and recognise graphs of trigonometric functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=40 | drfrostmaths.com/videos.php?skid=108 |

Exam Skill | E245 | KS3/4 | Shape, Space & Measures | Trigonometry | Solve simple trigonometric equations, e.g. of the form sin(x) = k. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | |

Exam Skill | E246 | KS3/4 | Data Handling & Probability | Data Representation | Histograms | Yes | drfrostmaths.com/resourceexplorer.php?tid=55 | drfrostmaths.com/videos.php?skid=381 |

Exam Skill | E247 | KS3/4 | Data Handling & Probability | Probability | Solve problems involving independent/dependent events where a frequency is algebraic. | Yes | drfrostmaths.com/resourceexplorer.php?tid=57 | |

Exam Skill | E248 | KS3/4 | Shape, Space & Measures | Similarity & Congruency | Understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=30 | drfrostmaths.com/videos.php?skid=153 |

Exam Skill | E249 | KS3/4 | Shape, Space & Measures | Trigonometry | Determine lengths of sides in a non-right angled triangle by use of sine and cosine rules. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | drfrostmaths.com/videos.php?skid=162 |

Exam Skill | E250 | KS3/4 | Shape, Space & Measures | Trigonometry | Determine angles in a non-right angled triangle by use of sine and cosine rules. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | drfrostmaths.com/videos.php?skid=161 |

Exam Skill | E251 | KS3/4 | Shape, Space & Measures | Trigonometry | Find the area of a triangle using two lengths and the angle between them. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | drfrostmaths.com/videos.php?skid=163 |

Exam Skill | E252 | KS3/4 | Shape, Space & Measures | Circle Theorems | Understand and apply all circle theorems. | Yes | drfrostmaths.com/resourceexplorer.php?tid=26 | drfrostmaths.com/videos.php?skid=141 |

Exam Skill | E253 | KS3/4 | Shape, Space & Measures | Vectors | Solve geometrical problems involving vectors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=36 | drfrostmaths.com/videos.php?skid=169 |

Exam Skill | E254 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of a pyramid, cone or sphere | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=127 |

Exam Skill | E255 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the volume of more complex compound 3D shapes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | drfrostmaths.com/videos.php?skid=129 |

Exam Skill | E256 | KS3/4 | Shape, Space & Measures | 3D Volume, Surface Area | Find the surface area of a cone or sphere/hemisphere. | Yes | drfrostmaths.com/resourceexplorer.php?tid=22 | |

Exam Skill | E257 | KS3/4 | Shape, Space & Measures | Circle Theorems | Use the Intersecting Chord and Intersecting Secant theorems. | Yes | drfrostmaths.com/resourceexplorer.php?tid=26 | drfrostmaths.com/videos.php?skid=473 |

Exam Skill | E258 | KS3/4 | Shape, Space & Measures | Trigonometry | Solve bearings problems involving trigonometry. | Yes | drfrostmaths.com/resourceexplorer.php?tid=34 | |

Exam Skill | E259 | KS3/4 | Number | Surds | Simplify surds. | Yes | drfrostmaths.com/resourceexplorer.php?tid=19 | drfrostmaths.com/videos.php?skid=67 |

Exam Skill | E260 | KS3/4 | Number | Surds | Multiply and divide surds. | Yes | drfrostmaths.com/resourceexplorer.php?tid=19 | drfrostmaths.com/videos.php?skid=412 |

Exam Skill | E261 | KS3/4 | Number | Surds | Add and subtract surds. | Yes | drfrostmaths.com/resourceexplorer.php?tid=19 | drfrostmaths.com/videos.php?skid=66 |

Exam Skill | E262 | KS3/4 | Number | Surds | Rationalise the denominator where the denominator is a surd. | Yes | drfrostmaths.com/resourceexplorer.php?tid=19 | drfrostmaths.com/videos.php?skid=68 |

Exam Skill | E263 | KS3/4 | Number | Powers, Roots & Laws of Indices | Deal with fractional indices. | Yes | drfrostmaths.com/resourceexplorer.php?tid=15 | drfrostmaths.com/videos.php?skid=63 |

Exam Skill | E264 | KS3/4 | Number | Ratio & Proportion | Problem solving with ratios, including where a ratio changes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=16 | |

Exam Skill | E265 | KS3/4 | Algebra | Differentiation | Determine a gradient function and understand as the rate of change of a function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=160 | |

Exam Skill | E266 | KS3/4 | Algebra | Differentiation | Determine a maximum or minimum point using differentiation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=160 | |

Exam Skill | E267 | KS3/4 | Algebra | Differentiation | Increasing and decreasing functions (FM only) | Yes | drfrostmaths.com/resourceexplorer.php?tid=160 | |

Exam Skill | E268 | KS3/4 | Algebra | Differentiation | Tangent and normal to a curve (FM only) | Yes | drfrostmaths.com/resourceexplorer.php?tid=160 | |

Exam Skill | E269 | KS3/4 | Number | Factors, Multiples and Primes | Identify properties of a number based on its prime factorisation (e.g. identify factors, if it is square, trailing zeros). | drfrostmaths.com/resourceexplorer.php?tid=7 | ||

Exam Skill | E270 | KS3/4 | Number | Factors, Multiples and Primes | Determine the number of factors of a number using its prime factorisation. | drfrostmaths.com/resourceexplorer.php?tid=7 | ||

Exam Skill | E271 | KS3/4 | Number | Factors, Multiples and Primes | Find integer solutions to linear equations. | drfrostmaths.com/resourceexplorer.php?tid=7 | ||

Exam Skill | E272 | KS3/4 | Algebra | Factorising | Factorise more difficult non-quadratic expressions, e.g. cubics. | drfrostmaths.com/resourceexplorer.php?tid=42 | ||

Exam Skill | E273 | KS3/4 | Shape, Space & Measures | Area & Perimeter | Find what fraction of a shape is shaded. | drfrostmaths.com/resourceexplorer.php?tid=25 | ||

Exam Skill | E274 | KS3/4 | Shape, Space & Measures | Miscellaneous | Solve problems involving general spatial awareness and reasoning, including nets. | drfrostmaths.com/resourceexplorer.php?tid=152 | ||

Exam Skill | E275 | KS3/4 | Number | Miscellaneous | Insert numbers into a structure subject to some numerical restriction, e.g. magic squares. | drfrostmaths.com/resourceexplorer.php?tid=153 | ||

Exam Skill | E276 | KS3/4 | Algebra | Miscellaneous | Deal with logical true-false statements (Boolean Algebra). | drfrostmaths.com/resourceexplorer.php?tid=154 | ||

Exam Skill | E277 | KS3/4 | Number | Factors, Multiples and Primes | Reason about remainders, including even/oddness. | drfrostmaths.com/resourceexplorer.php?tid=7 | ||

Exam Skill | E278 | KS3/4 | Shape, Space & Measures | Compound Measures and Units of Measurement | Dimensional Analysis | drfrostmaths.com/resourceexplorer.php?tid=35 | ||

Exam Skill | E279 | KS3/4 | Algebra | Matrix Algebra (FM only) | Multiply matrices | drfrostmaths.com/resourceexplorer.php?tid=164 | ||

Exam Skill | E280 | KS3/4 | Algebra | Matrix Algebra (FM only) | Determine a matrix that gives rise to a transformation, and vice versa. | drfrostmaths.com/resourceexplorer.php?tid=164 | ||

Exam Skill | E281 | KS3/4 | Algebra | Sequences | Limiting value of a converging sequence (FM only) | drfrostmaths.com/resourceexplorer.php?tid=46 | ||

Exam Skill | E282 | KS3/4 | Algebra | Factor Theorem and Remainder Theorem (FM only) | Use the Factor Theorem and Remainder Theorem (FM only) | drfrostmaths.com/resourceexplorer.php?tid=165 | ||

Exam Skill | E283 | KS3/4 | Shape, Space & Measures | Trigonometry | Use the trigonometric identities sin^{2}(x) + cos^{2}(x) = 1 and tan(x) = sin(x)/cos(x) (FM only) | drfrostmaths.com/resourceexplorer.php?tid=34 | ||

Exam Skill | E284 | KS3/4 | Algebra | Matrix Algebra (FM only) | Determine the image of a point (or unit square) after a matrix transformation. | drfrostmaths.com/resourceexplorer.php?tid=164 | ||

Exam Skill | E285 | KS3/4 | Algebra | Functions | Piecewise functions (FM only) | drfrostmaths.com/resourceexplorer.php?tid=155 | ||

Exam Skill | E286 | KS3/4 | Algebra | Curved Graphs | Deal with equations of circles which are not centred at the origin, using (x-a)^{2} + (y-b)^{2} = r^{2}. (FM only) | drfrostmaths.com/resourceexplorer.php?tid=40 | ||

Exam Skill | E287 | KS3/4 | Algebra | Expanding Brackets | Binomial Expansion (FM/AdMaths only) | drfrostmaths.com/resourceexplorer.php?tid=41 | ||

Exam Skill | E288 | KS3/4 | Algebra | Sequences | Standard formulae for nth term and sum of n terms of an arithmetic sequence (FM/IGCSE only) | drfrostmaths.com/resourceexplorer.php?tid=46 | ||

Exam Skill | E289 | KS5 | Pure Mathematics | Algebraic Techniques | Simplify rational expressions by factorising and cancelling. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | |

Exam Skill | E290 | KS5 | Pure Mathematics | Algebraic Techniques | Manipulate polynomials algebraically, including expanding brackets and collecting like terms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=200 |

Exam Skill | E291 | KS5 | Pure Mathematics | Algebraic Techniques | Understand and use laws of indices for all rational exponents. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=193 |

Exam Skill | E292 | KS5 | Pure Mathematics | Algebraic Techniques | Use and manipulate surds, including rationalising the denominator. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=194 |

Exam Skill | E293 | KS5 | Pure Mathematics | Algebraic Techniques | Complete the square. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=195 |

Exam Skill | E294 | KS5 | Pure Mathematics | Algebraic Techniques | Find solutions of quadratic equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=196 |

Exam Skill | E295 | KS5 | Pure Mathematics | Graphs and Functions | Definition of function and determining values graphically. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=409 |

Exam Skill | E296 | KS5 | Pure Mathematics | Graphs and Functions | Discriminant of a quadratic function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=206 |

Exam Skill | E297 | KS5 | Pure Mathematics | Graphs and Functions | Quadratic functions and their graphs. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=205 |

Exam Skill | E298 | KS5 | Pure Mathematics | Algebraic Techniques | Solve linear and quadratic inequalities, including inequalities with fractions, and represent solutions graphically. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=199 |

Exam Skill | E299 | KS5 | Pure Mathematics | Algebraic Techniques | Solve simultaneous equations, including one linear one quadratic. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=198 |

Exam Skill | E300 | KS5 | Pure Mathematics | Graphs and Functions | Effect of simple transformations on the graph of y = f(x). | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=210 |

Exam Skill | E301 | KS5 | Pure Mathematics | Graphs and Functions | Graphs of more general functions, including reciprocal, cubic and quartic functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=207 |

Exam Skill | E302 | KS5 | Pure Mathematics | Graphs and Functions | Interpret solutions of equations graphically. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=208 |

Exam Skill | E303 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Equation of a straight line. | Yes | drfrostmaths.com/resourceexplorer.php?tid=123 | drfrostmaths.com/videos.php?skid=219 |

Exam Skill | E304 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Gradient conditions for two lines being parallel or perpendicular. | Yes | drfrostmaths.com/resourceexplorer.php?tid=123 | drfrostmaths.com/videos.php?skid=220 |

Exam Skill | E305 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Coordinate geometry on circles and equation of a circle. | Yes | drfrostmaths.com/resourceexplorer.php?tid=123 | drfrostmaths.com/videos.php?skid=221 |

Exam Skill | E306 | KS5 | Pure Mathematics | Algebraic Techniques | Simplify algebraic fractions by cancelling common factors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=404 |

Exam Skill | E307 | KS5 | Pure Mathematics | Algebraic Techniques | Use algebraic division to turn top-heavy algebraic fraction into a quotient and remainder. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | |

Exam Skill | E308 | KS5 | Pure Mathematics | Algebraic Techniques | Use the Factor and Remainder Theorems. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=201 |

Exam Skill | E309 | KS5 | Pure Mathematics | Algebraic Techniques | Solve cubic and quartic equations, or polynomials of higher degree. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=478 |

Exam Skill | E310 | KS5 | Pure Mathematics | Sequences and Series | Binomial expansion of (a + bx)^{n} where n is a positive integer. | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E311 | KS5 | Pure Mathematics | Trigonometry | Graphs of sin, cos and tan. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E312 | KS5 | Pure Mathematics | Trigonometry | Trigonometry on triangles, including sine/cosine rules and area of a triangle and exact values for common angles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | drfrostmaths.com/videos.php?skid=232 |

Exam Skill | E313 | KS5 | Pure Mathematics | Trigonometry | Construct proofs involving sin, cos and tan (excluding double angle formulae), or simplify expressions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | drfrostmaths.com/videos.php?skid=242 |

Exam Skill | E314 | KS5 | Pure Mathematics | Trigonometry | Solve trigonometric equations, involving sin, cos and tan, in an interval in degrees. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | drfrostmaths.com/videos.php?skid=235 |

Exam Skill | E315 | KS5 | Pure Mathematics | Vectors | Add vectors diagramatically and understand when vectors are parallel. | Yes | drfrostmaths.com/resourceexplorer.php?tid=134 | |

Exam Skill | E316 | KS5 | Pure Mathematics | Vectors | Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=134 | |

Exam Skill | E317 | KS5 | Pure Mathematics | Vectors | Understand position vectors and calculate the distance between two points from their position vectors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=134 | |

Exam Skill | E318 | KS5 | Pure Mathematics | Vectors | Use vectors to solve problems in pure mathematics and in context (including forces). | Yes | drfrostmaths.com/resourceexplorer.php?tid=134 | |

Exam Skill | E319 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate from first principles for small positive powers of x. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=249 |

Exam Skill | E320 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Differentiate x^{n} for rational values of n. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=251 |

Exam Skill | E321 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Increasing and decreasing functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=254 |

Exam Skill | E322 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Maxima and minima and stationary points for polynomials. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=253 |

Exam Skill | E323 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Sketch the gradient function for a given curve, e.g. in relation to speed and acceleration. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=248 |

Exam Skill | E324 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Understand and use the second derivative of a function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=250 |

Exam Skill | E325 | KS5 | Pure Mathematics | Differentiation of ||x^n|| | Use differentiation of polynomials to find equations of tangents and normals. | Yes | drfrostmaths.com/resourceexplorer.php?tid=127 | drfrostmaths.com/videos.php?skid=252 |

Exam Skill | E326 | KS5 | Pure Mathematics | Integration | Determine a function given its derivative and a point. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=260 |

Exam Skill | E327 | KS5 | Pure Mathematics | Integration | Evaluate definite integrals, e.g. to find an area under a curve or area between curves. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=259 |

Exam Skill | E328 | KS5 | Pure Mathematics | Integration | Integrate x^{n} (excluding n=-1) for rational n. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=258 |

Exam Skill | E329 | KS5 | Pure Mathematics | Exponentials and Logarithms | Graphs of exponential functions, including y = e^{ax+b} + c. Exponential growth and decay. | Yes | drfrostmaths.com/resourceexplorer.php?tid=126 | drfrostmaths.com/videos.php?skid=243 |

Exam Skill | E330 | KS5 | Pure Mathematics | Exponentials and Logarithms | Graphs of log_{a}(x) and ln(x). | Yes | drfrostmaths.com/resourceexplorer.php?tid=126 | drfrostmaths.com/videos.php?skid=244 |

Exam Skill | E331 | KS5 | Pure Mathematics | Exponentials and Logarithms | Laws of logs. | Yes | drfrostmaths.com/resourceexplorer.php?tid=126 | drfrostmaths.com/videos.php?skid=245 |

Exam Skill | E332 | KS5 | Pure Mathematics | Exponentials and Logarithms | Solve equations and manipulate expressions involving e^{x} and ln(x). | Yes | drfrostmaths.com/resourceexplorer.php?tid=126 | drfrostmaths.com/videos.php?skid=411 |

Exam Skill | E333 | KS5 | Pure Mathematics | Exponentials and Logarithms | Use log graphs to estimate parameters in y = ax^{n} and y = kb^{x} for given data in x and y. | Yes | drfrostmaths.com/resourceexplorer.php?tid=126 | drfrostmaths.com/videos.php?skid=246 |

Exam Skill | E334 | KS5 | Statistics | Sampling | Understand sampling techniques, including simple random, stratified, systematic, quota and opportunity sampling. | Yes | drfrostmaths.com/resourceexplorer.php?tid=140 | |

Exam Skill | E335 | KS5 | Statistics | Sampling | Knowledge of the Edexcel large data set. | Yes | drfrostmaths.com/resourceexplorer.php?tid=140 | |

Exam Skill | E336 | KS5 | Statistics | Data Presentation and Interpretation | Mean of grouped or ungrouped data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E337 | KS5 | Statistics | Data Presentation and Interpretation | Variance of grouped or ungrouped data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E338 | KS5 | Statistics | Data Presentation and Interpretation | Interpolation to find median, quartiles and percentiles. | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E339 | KS5 | Statistics | Data Presentation and Interpretation | Coding data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E340 | KS5 | Statistics | Data Presentation and Interpretation | Box plots (including outliers). | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E341 | KS5 | Statistics | Data Presentation and Interpretation | Cumulative Frequency Diagrams | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E342 | KS5 | Statistics | Data Presentation and Interpretation | Histograms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E343 | KS5 | Statistics | Regression | Use and interpret the equation of a regression line. | Yes | drfrostmaths.com/resourceexplorer.php?tid=146 | |

Exam Skill | E344 | KS5 | Statistics | Probability | Venn diagrams. | Yes | drfrostmaths.com/resourceexplorer.php?tid=142 | |

Exam Skill | E345 | KS5 | Statistics | Probability | Mutually exclusive and independent events. | Yes | drfrostmaths.com/resourceexplorer.php?tid=142 | |

Exam Skill | E347 | KS5 | Statistics | Discrete Distributions | Binomial Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=143 | |

Exam Skill | E348 | KS5 | Statistics | Hypothesis Tests | Conduct hypothesis test for p in Binomial Model. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E349 | KS5 | Mechanics | Kinematics in 1D | Displacement-time, velocity-time graphs and interpretation of gradient. | Yes | drfrostmaths.com/resourceexplorer.php?tid=190 | |

Exam Skill | E350 | KS5 | Mechanics | Kinematics in 1D | 'suvat' equations (excluding forces). | Yes | drfrostmaths.com/resourceexplorer.php?tid=190 | |

Exam Skill | E351 | KS5 | Mechanics | Kinematics in 1D | Projectile motion in 1D. | Yes | drfrostmaths.com/resourceexplorer.php?tid=190 | |

Exam Skill | E352 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Forces on a single particle in equibrium, not on an inclined plane, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=149 | |

Exam Skill | E353 | KS5 | Mechanics | Single particles with acceleration (N2L) | Forces on an accelerating single particle, not on an inclined plane, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=198 | |

Exam Skill | E354 | KS5 | Mechanics | Connected particles in equilbrium (N3L) | Forces on connected particles in equilibrium, not on an inclined plane, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=199 | |

Exam Skill | E355 | KS5 | Mechanics | Connected particles with acceleration (N3L) | Forces on accelerating connected particles, not on an inclined plane, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=200 | |

Exam Skill | E356 | KS5 | Mechanics | Kinematics in 1D | Calculus in kinematics for motion in a straight line, e.g. v = dr/dt, in 1 dimension. | Yes | drfrostmaths.com/resourceexplorer.php?tid=190 | |

Exam Skill | E357 | KS5 | Pure Mathematics | Algebraic Techniques | Multiply and divide algebraic fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=405 |

Exam Skill | E358 | KS5 | Pure Mathematics | Algebraic Techniques | Add and subtract algebraic fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=406 |

Exam Skill | E359 | KS5 | Pure Mathematics | Algebraic Techniques | Decompose rational expressions into partial fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=204 |

Exam Skill | E360 | KS5 | Pure Mathematics | Proof | Proof by deduction, exhaustion and counter example. | Yes | drfrostmaths.com/resourceexplorer.php?tid=116 | |

Exam Skill | E361 | KS5 | Pure Mathematics | Graphs and Functions | Domain and range of functions and many-to-one/one-to-one functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=408 |

Exam Skill | E362 | KS5 | Pure Mathematics | Graphs and Functions | Composite functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=212 |

Exam Skill | E363 | KS5 | Pure Mathematics | Graphs and Functions | Inverse functions | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=410 |

Exam Skill | E363 | KS5 | Pure Mathematics | Graphs and Functions | Inverse functions | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=410 |

Exam Skill | E364 | KS5 | Pure Mathematics | Graphs and Functions | Sketch the modulus of a linear function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=121 | drfrostmaths.com/videos.php?skid=211 |

Exam Skill | E365 | KS5 | Pure Mathematics | Algebraic Techniques | Solve inequalities involving the modulus function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | drfrostmaths.com/videos.php?skid=203 |

Exam Skill | E366 | KS5 | Pure Mathematics | Sequences and Series | Increasing, decreasing and periodic sequences. | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E367 | KS5 | Pure Mathematics | Sequences and Series | Arithmetic sequences. | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E368 | KS5 | Pure Mathematics | Sequences and Series | Geometric sequences. | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E369 | KS5 | Pure Mathematics | Sequences and Series | Sigma notation for sums of series. | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E370 | KS5 | Pure Mathematics | Sequences and Series | Recurrence relations of the form x_{n+1} = f(x_{n}) | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E371 | KS5 | Pure Mathematics | Sequences and Series | Binomial expansion of (a + bx)^{n} where n is any rational number. | Yes | drfrostmaths.com/resourceexplorer.php?tid=124 | |

Exam Skill | E372 | KS5 | Pure Mathematics | Trigonometry | Use formulae for arc lengths and areas when the angle is in radians. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E373 | KS5 | Pure Mathematics | Trigonometry | Small angle approximations for sine, cosine and tangent when in radians. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E374 | KS5 | Pure Mathematics | Trigonometry | Solve trigonometric equations, involving sin, cos and tan, in an interval in radians. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E375 | KS5 | Pure Mathematics | Trigonometry | Graphs of sec, cosec and cot. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E376 | KS5 | Pure Mathematics | Algebraic Techniques | Solve equations which are quadratic in another function, e.g. trigonometric. | Yes | drfrostmaths.com/resourceexplorer.php?tid=120 | |

Exam Skill | E377 | KS5 | Pure Mathematics | Trigonometry | Angle sum and double/half angle formulae for sin, cos and tan. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E378 | KS5 | Pure Mathematics | Trigonometry | Express a cos(x) + b sin(x) in the form r cos(x + k) or r sin(x+k) | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E379 | KS5 | Pure Mathematics | Trigonometry | Construct proofs involving sec, cosec and cot. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E380 | KS5 | Pure Mathematics | Trigonometry | Solve trigonometric equations, involving sec, cosec and cot, in an interval. | Yes | drfrostmaths.com/resourceexplorer.php?tid=125 | |

Exam Skill | E381 | KS5 | Pure Mathematics | Coordinate Geometry in the (x,y) plane | Parametric equations and conversion between Cartesian and parametric forms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=123 | drfrostmaths.com/videos.php?skid=222 |

Exam Skill | E382 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Differentiate exponential functions and ln(x). | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | drfrostmaths.com/videos.php?skid=255 |

Exam Skill | E383 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Product, quotient and chain rules. | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | drfrostmaths.com/videos.php?skid=256 |

Exam Skill | E384 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Use implicit differentiation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | drfrostmaths.com/videos.php?skid=491 |

Exam Skill | E385 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Differentiate trigonometric functions, e.g. sin and sec (excluding hyperbolic). | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | drfrostmaths.com/videos.php?skid=492 |

Exam Skill | E386 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Connected rates of change using the chain rule. | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | drfrostmaths.com/videos.php?skid=524 |

Exam Skill | E387 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Differentiate parametric equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | drfrostmaths.com/videos.php?skid=257 |

Exam Skill | E388 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Use differentiation of non-polynomials to find equations of tangents and normals. | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | |

Exam Skill | E389 | KS5 | Pure Mathematics | Differentiation of Non-Polynomials | Maxima and minima and stationary points for non-polynomial equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=197 | |

Exam Skill | E390 | KS5 | Further Pure Mathematics | Further Calculus | Differentiate inverse trigonometric functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E391 | KS5 | Pure Mathematics | Numerical Methods | Understand the significance of sign changes in locating roots to f(x) = 0 and where it fails. | Yes | drfrostmaths.com/resourceexplorer.php?tid=136 | |

Exam Skill | E392 | KS5 | Pure Mathematics | Numerical Methods | Solve equations by iterative methods; understand cobweb and staircase diagrams. | Yes | drfrostmaths.com/resourceexplorer.php?tid=136 | |

Exam Skill | E393 | KS5 | Pure Mathematics | Numerical Methods | Solve equations using the Newton-Raphson method. | Yes | drfrostmaths.com/resourceexplorer.php?tid=136 | |

Exam Skill | E394 | KS5 | Pure Mathematics | Integration | Integrate exponential, trigonometric functions and 1/x. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=261 |

Exam Skill | E395 | KS5 | Pure Mathematics | Integration | Integrate by inspection. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=415 |

Exam Skill | E396 | KS5 | Pure Mathematics | Integration | Integrate by substitution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=262 |

Exam Skill | E397 | KS5 | Pure Mathematics | Integration | Integrate by parts. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=263 |

Exam Skill | E398 | KS5 | Pure Mathematics | Integration | Integrate using partial fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=264 |

Exam Skill | E399 | KS5 | Pure Mathematics | Integration | Solve first order differential equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=265 |

Exam Skill | E400 | KS5 | Pure Mathematics | Integration | Integrate parametric equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=128 | drfrostmaths.com/videos.php?skid=515 |

Exam Skill | E401 | KS5 | Pure Mathematics | Numerical Methods | Use numerical methods such as the trapezium rule to approximate an area under a curve. | Yes | drfrostmaths.com/resourceexplorer.php?tid=136 | |

Exam Skill | E402 | KS5 | Statistics | Correlation | Product Moment Correlation Coefficient, including effect of coding. | Yes | drfrostmaths.com/resourceexplorer.php?tid=147 | |

Exam Skill | E403 | KS5 | Statistics | Hypothesis Tests | Conduct a hypothesis test on a correlation coefficient. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E404 | KS5 | Statistics | Probability | Set Notation for Probability | Yes | drfrostmaths.com/resourceexplorer.php?tid=142 | |

Exam Skill | E405 | KS5 | Statistics | Probability | Conditional probability formulae | Yes | drfrostmaths.com/resourceexplorer.php?tid=142 | |

Exam Skill | E406 | KS5 | Statistics | Probability | Addition Law for Probability | Yes | drfrostmaths.com/resourceexplorer.php?tid=142 | |

Exam Skill | E407 | KS5 | Statistics | Continuous Distributions | Normal Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E408 | KS5 | Statistics | Continuous Distributions | Inverse Normal Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E409 | KS5 | Statistics | Continuous Distributions | Standard Normal Distribution (including unknown mean and standard deviation). | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E410 | KS5 | Statistics | Continuous Distributions | Normal Distribution as an approximation to a Binomial Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E411 | KS5 | Statistics | Hypothesis Tests | Conduct a hypothesis test for the mean of a Normal Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E412 | KS5 | Mechanics | Moments | Solve problems involving moments, with forces in a single plane (e.g. rods, suspended bar) | Yes | drfrostmaths.com/resourceexplorer.php?tid=150 | |

Exam Skill | E413 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Forces on a single particle in equibrium, not on an inclined plane, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=149 | |

Exam Skill | E414 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Forces on a single particle in equibrium, on an inclined plane/inclined forces, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=149 | |

Exam Skill | E415 | KS5 | Mechanics | Single particles in equilbrium (N1L) | Forces on a single particle in equibrium, on an inclined plane/inclined forces, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=149 | |

Exam Skill | E416 | KS5 | Mechanics | Single particles with acceleration (N2L) | Forces on an accelerating single particle, not on an inclined plane, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=198 | |

Exam Skill | E417 | KS5 | Mechanics | Single particles with acceleration (N2L) | Forces on an accelerating single particle, on an inclined plane/inclined forces, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=198 | |

Exam Skill | E418 | KS5 | Mechanics | Single particles with acceleration (N2L) | Forces on an accelerating single particle, on an inclined plane/inclined forces, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=198 | |

Exam Skill | E419 | KS5 | Mechanics | Kinematics in 2D | Projectile motion in 2D. | Yes | drfrostmaths.com/resourceexplorer.php?tid=148 | |

Exam Skill | E420 | KS5 | Mechanics | Connected particles in equilbrium (N3L) | Forces on connected particles in equilibrium, not on an inclined plane, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=199 | |

Exam Skill | E421 | KS5 | Mechanics | Connected particles in equilbrium (N3L) | Forces on connected particles in equilibrium, on an inclined plane/inclined forces, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=199 | |

Exam Skill | E422 | KS5 | Mechanics | Connected particles in equilbrium (N3L) | Forces on connected particles in equilibrium, on an inclined plane/inclined forces, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=199 | |

Exam Skill | E423 | KS5 | Mechanics | Connected particles with acceleration (N3L) | Forces on accelerating connected particles, not on an inclined plane, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=200 | |

Exam Skill | E424 | KS5 | Mechanics | Connected particles with acceleration (N3L) | Forces on accelerating connected particles, on an inclined plane/inclined forces, no F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=200 | |

Exam Skill | E425 | KS5 | Mechanics | Connected particles with acceleration (N3L) | Forces on accelerating connected particles, on an inclined plane/inclined forces, using F = μR. | Yes | drfrostmaths.com/resourceexplorer.php?tid=200 | |

Exam Skill | E426 | KS5 | Mechanics | Moments | Solve static rigid body problems with forces in multiple planes, e.g. with hinges/ladders. | Yes | drfrostmaths.com/resourceexplorer.php?tid=150 | |

Exam Skill | E427 | KS5 | Mechanics | Kinematics in 2D | Vector calculations for displacement or velocity. | Yes | drfrostmaths.com/resourceexplorer.php?tid=148 | |

Exam Skill | E428 | KS5 | Mechanics | Kinematics in 2D | Calculus in kinematics for motion in a straight line, in 2 dimensions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=148 | |

Exam Skill | E429 | KS5 | Further Pure Mathematics | Complex Numbers | Solve quadratic equations to find potentially complex roots. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E430 | KS5 | Further Pure Mathematics | Complex Numbers | Solve cubic and quartic equations to find potentially complex roots. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E431 | KS5 | Further Pure Mathematics | Complex Numbers | Add, subtract, multiply and divide complex numbers. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E432 | KS5 | Further Pure Mathematics | Complex Numbers | Use and interpret Argand diagrams. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E433 | KS5 | Further Pure Mathematics | Complex Numbers | Convert between Cartesian and modulus-argument form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E434 | KS5 | Further Pure Mathematics | Further Algebra and Functions | Formulae for sums of integers, squares and cubes. | Yes | drfrostmaths.com/resourceexplorer.php?tid=122 | |

Exam Skill | E435 | KS5 | Further Pure Mathematics | Further Algebra and Functions | Relationship between roots and coefficients of polynomial equations, up to quartics. | Yes | drfrostmaths.com/resourceexplorer.php?tid=122 | |

Exam Skill | E436 | KS5 | Further Pure Mathematics | Further Algebra and Functions | Polynomial equations whose roots are a linear transformation of the roots of a given polynomial equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=122 | |

Exam Skill | E437 | KS5 | Further Pure Mathematics | Further Calculus | Volumes of revolution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E438 | KS5 | Further Pure Mathematics | Matrices | Add, subtract and multiply matrices. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E439 | KS5 | Further Pure Mathematics | Matrices | Calculate determinants of 2x2 and 3x3 matrices and interpret as scale factors. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E440 | KS5 | Further Pure Mathematics | Matrices | Calculate inverse matrices for 2x2 and 3x3 matrices and understand their properties. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E441 | KS5 | Further Pure Mathematics | Matrices | Solve simultaneous equations (up to 3 variables) by use of an inverse matrices. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E442 | KS5 | Further Pure Mathematics | Matrices | Use matrices to represent linear transformations in 2D and 3D, including successive transformations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E443 | KS5 | Further Pure Mathematics | Matrices | Find invariant points and lines for a linear transformation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E444 | KS5 | Further Pure Mathematics | Matrices | Interpret geometrically the solution and failure of the solution to three simultaneous linear equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E445 | KS5 | Further Pure Mathematics | Proof | Proof by induction. | Yes | drfrostmaths.com/resourceexplorer.php?tid=117 | |

Exam Skill | E446 | KS5 | Further Pure Mathematics | Further Vectors | Vector form of a straight line in 2D and 3D. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E447 | KS5 | Further Pure Mathematics | Further Vectors | Cartesian form of an equation of a straight line in 2D and 3D. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E448 | KS5 | Further Pure Mathematics | Further Vectors | Point of intersection of two straight lines given in vector form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E449 | KS5 | Further Pure Mathematics | Further Vectors | Equation of a plane and use the dot/scalar product to find angles between planes and lines. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E450 | KS5 | Further Pure Mathematics | Further Vectors | Calculate the dot/scalar product and use it to calculate the angle between two lines. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E451 | KS5 | Further Pure Mathematics | Further Vectors | Point of intersection of a line and a plane. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E452 | KS5 | Further Pure Mathematics | Complex Numbers | Understand de Moivre's theorem and use it to find multiple angle formulae and sums of series. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E453 | KS5 | Further Pure Mathematics | Complex Numbers | Know and use e^itheta = cos(theta) + i sin(theta) | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E454 | KS5 | Further Pure Mathematics | Complex Numbers | Find the n distinct nth roots for re^itheta, and use complex roots of unity to solve geometric problems. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E455 | KS5 | Further Pure Mathematics | Further Algebra and Functions | Method of differences for summation of series including use of partial fractions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=122 | |

Exam Skill | E456 | KS5 | Further Pure Mathematics | Further Algebra and Functions | Maclaurin series of a function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=122 | |

Exam Skill | E457 | KS5 | Further Pure Mathematics | Further Calculus | Mean value of a function. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E458 | KS5 | Further Pure Mathematics | Further Calculus | Integrate functions of the form 1/sqrt(a^{2} - x^{2}) and 1/(a^{2} + x^{2}) by use of trigonometric substitutions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E459 | KS5 | Further Pure Mathematics | Polar Coordinates | Use polar coordinates and convert between polar and cartesian coordinates. | Yes | drfrostmaths.com/resourceexplorer.php?tid=130 | |

Exam Skill | E460 | KS5 | Further Pure Mathematics | Polar Coordinates | Sketch polar curves with r given as a function of theta. | Yes | drfrostmaths.com/resourceexplorer.php?tid=130 | |

Exam Skill | E461 | KS5 | Further Pure Mathematics | Polar Coordinates | Find the area enclosed by a polar curve. | Yes | drfrostmaths.com/resourceexplorer.php?tid=130 | |

Exam Skill | E462 | KS5 | Further Pure Mathematics | Hyperbolic Functions | Understand hyperbolic functions, including their graphs and domains/ranges. | Yes | drfrostmaths.com/resourceexplorer.php?tid=131 | |

Exam Skill | E463 | KS5 | Further Pure Mathematics | Hyperbolic Functions | Differentiate and integrate hyperbolic functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=131 | |

Exam Skill | E464 | KS5 | Further Pure Mathematics | Hyperbolic Functions | Understand and use inverse hyperbolic functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=131 | |

Exam Skill | E465 | KS5 | Further Pure Mathematics | Hyperbolic Functions | Derive and use logarithmic forms of inverse hyperbolic functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=131 | |

Exam Skill | E466 | KS5 | Further Pure Mathematics | Hyperbolic Functions | Integrate functions of the form 1/sqrt(x^{2} + a^{2}) and 1/sqrt(x^{2} - a^{2}) by use of hyperbolic functions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=131 | |

Exam Skill | E467 | KS5 | Further Pure Mathematics | Further Differential Equations | Use integrating factors to solve differential equations of the form dy/dx + P(x)y = Q(x). | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E468 | KS5 | Further Pure Mathematics | Further Differential Equations | Solve second order differential equations of the form y'' + a y' + by = 0. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E469 | KS5 | Further Pure Mathematics | Further Differential Equations | Solve second order differential equations of the form y'' + a y' + by = f(x). | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E470 | KS5 | Further Pure Mathematics | Further Differential Equations | Solve the equation for simple harmonic motion. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E471 | KS5 | Further Pure Mathematics | Further Differential Equations | Model damped oscillations using second order differential equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E472 | KS5 | Further Pure Mathematics | Further Differential Equations | Deal with coupled first order linear equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E473 | KS5 | Statistics | Discrete Distributions | Expected value E(X) and Var(X) of a discrete random variable, including coding. | Yes | drfrostmaths.com/resourceexplorer.php?tid=143 | |

Exam Skill | E474 | KS5 | Statistics | Discrete Distributions | Poisson Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=143 | |

Exam Skill | E475 | KS5 | Statistics | Discrete Distributions | Use Poisson Distribution as an approximation to a Binomial Distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=143 | |

Exam Skill | E476 | KS5 | Statistics | Discrete Distributions | Geometric Distributions | Yes | drfrostmaths.com/resourceexplorer.php?tid=143 | |

Exam Skill | E477 | KS5 | Statistics | Discrete Distributions | Negative Binomial Distributions | Yes | drfrostmaths.com/resourceexplorer.php?tid=143 | |

Exam Skill | E478 | KS5 | Statistics | Hypothesis Tests | Conduct a hypothesis test on the mean of a Poisson distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E482 | KS5 | Further Pure Mathematics | Further Vectors | Perpendicular distance between two lines, from a point to a line and a point to a plane. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E483 | KS5 | Further Pure Mathematics | Further Vectors | Vector product a × b of two vectors, including interpretation of |a × b|. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E484 | KS5 | Further Pure Mathematics | Further Vectors | The scalar triple product a.b × c. | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E485 | KS5 | Further Pure Mathematics | Further Vectors | Application of vectors to 3D geometry involving points, lines and planes, including equation of line in form (r - b) × b = 0 | Yes | drfrostmaths.com/resourceexplorer.php?tid=135 | |

Exam Skill | E486 | KS5 | Further Pure Mathematics | Coordinate Systems | Cartesian and parametric equations for a parabola, ellipse and hyperbola. | Yes | drfrostmaths.com/resourceexplorer.php?tid=133 | |

Exam Skill | E487 | KS5 | Further Pure Mathematics | Coordinate Systems | Focus-directrix properties of a parabola, ellipse and hyperbola, including the eccentricity. | Yes | drfrostmaths.com/resourceexplorer.php?tid=133 | |

Exam Skill | E488 | KS5 | Further Pure Mathematics | Coordinate Systems | Tangent and normals to parabolas, ellipsis and hyperbolae. | Yes | drfrostmaths.com/resourceexplorer.php?tid=133 | |

Exam Skill | E489 | KS5 | Further Pure Mathematics | Coordinate Systems | Solve loci problems involving parabolas, ellipsis and hyperbolae. | Yes | drfrostmaths.com/resourceexplorer.php?tid=133 | |

Exam Skill | E490 | KS5 | Further Pure Mathematics | Further Algebra and Functions | Use Taylor series. | Yes | drfrostmaths.com/resourceexplorer.php?tid=122 | |

Exam Skill | E491 | KS5 | Further Pure Mathematics | Further Differential Equations | Use Taylor series for series solution of differential equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E492 | KS5 | Further Pure Mathematics | Further Calculus | Leibnitz's Theorem for differentiating products. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E493 | KS5 | Further Pure Mathematics | Further Calculus | L'Hospital's Rule | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E494 | KS5 | Further Pure Mathematics | Further Calculus | Weierstrass substitution for integration. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E495 | KS5 | Further Pure Mathematics | Further Differential Equations | Numerical solution of first order and second order differential equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E496 | KS5 | Pure Mathematics | Numerical Methods | Simpson's rule. | Yes | drfrostmaths.com/resourceexplorer.php?tid=136 | |

Exam Skill | E497 | KS5 | Further Pure Mathematics | Further Differential Equations | Use substitutions to reduce a differential equation. | Yes | drfrostmaths.com/resourceexplorer.php?tid=132 | |

Exam Skill | E498 | KS5 | Further Mechanics | Momentum and impulse | Momentum and Impulse | Yes | drfrostmaths.com/resourceexplorer.php?tid=170 | |

Exam Skill | E499 | KS5 | Further Mechanics | Work, energy and power | Work and energy | Yes | drfrostmaths.com/resourceexplorer.php?tid=173 | |

Exam Skill | E500 | KS5 | Further Mechanics | Work, energy and power | Power | Yes | drfrostmaths.com/resourceexplorer.php?tid=173 | |

Exam Skill | E501 | KS5 | Further Mechanics | Elastic strings and springs and elastic energy | Hooke's Law | Yes | drfrostmaths.com/resourceexplorer.php?tid=174 | |

Exam Skill | E502 | KS5 | Further Mechanics | Elastic strings and springs and elastic energy | Energy in elastic springs and strings. | Yes | drfrostmaths.com/resourceexplorer.php?tid=174 | |

Exam Skill | E503 | KS5 | Further Mechanics | Elastic collisions in one dimension | Solve problems involving elastic collisions in 1D. | Yes | drfrostmaths.com/resourceexplorer.php?tid=171 | |

Exam Skill | E504 | KS5 | Further Mechanics | Elastic collisions in two dimensions | Solve problems involving elastic collisions in 2D. | Yes | drfrostmaths.com/resourceexplorer.php?tid=172 | |

Exam Skill | E505 | KS5 | Further Mechanics | Circular Motion | Horizontal circular motion | Yes | drfrostmaths.com/resourceexplorer.php?tid=175 | |

Exam Skill | E506 | KS5 | Further Mechanics | Circular Motion | Vertical circular motion | Yes | drfrostmaths.com/resourceexplorer.php?tid=175 | |

Exam Skill | E507 | KS5 | Further Mechanics | Centres of Mass | Centre of mass of particles on a line or plane. | Yes | drfrostmaths.com/resourceexplorer.php?tid=176 | |

Exam Skill | E508 | KS5 | Further Mechanics | Centres of Mass | Use calculus to find the centre of mass. | Yes | drfrostmaths.com/resourceexplorer.php?tid=176 | |

Exam Skill | E509 | KS5 | Further Mechanics | Centres of Mass | Centre of mass of 3D solids or shells. | Yes | drfrostmaths.com/resourceexplorer.php?tid=176 | |

Exam Skill | E510 | KS5 | Further Mechanics | Centres of Mass | Consider toppling and sliding. | Yes | drfrostmaths.com/resourceexplorer.php?tid=176 | |

Exam Skill | E511 | KS5 | Further Mechanics | Dynamics | Simple Harmonic Motion | Yes | drfrostmaths.com/resourceexplorer.php?tid=177 | |

Exam Skill | E512 | KS5 | Discrete/Decision Maths | Algorithms | Sorting algorithms, including quicksort and bubble sort. | Yes | drfrostmaths.com/resourceexplorer.php?tid=163 | |

Exam Skill | E513 | KS5 | Discrete/Decision Maths | Algorithms | Binary Search | Yes | drfrostmaths.com/resourceexplorer.php?tid=163 | |

Exam Skill | E514 | KS5 | Discrete/Decision Maths | Algorithms | Using and understanding algorithms (including trace tables and flowcharts). | Yes | drfrostmaths.com/resourceexplorer.php?tid=163 | |

Exam Skill | E515 | KS5 | Discrete/Decision Maths | Algorithms | Bin-packing algorithms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=163 | |

Exam Skill | E516 | KS5 | Discrete/Decision Maths | Algorithms | Order of algorithms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=163 | |

Exam Skill | E517 | KS5 | Discrete/Decision Maths | Graph Theory | Understand graphs, connected graphs and the degree of vertices. | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E518 | KS5 | Discrete/Decision Maths | Graph Theory | The planarity algorithm. | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E519 | KS5 | Discrete/Decision Maths | Graph Theory | Prim's algorithm for shortest path. | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E520 | KS5 | Discrete/Decision Maths | Graph Theory | Kruskal's algorithm for shortest path. | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E521 | KS5 | Discrete/Decision Maths | Graph Theory | Floyd's Algorithm. | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E522 | KS5 | Discrete/Decision Maths | Graph Theory | Dijkstra's Algorithm | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E523 | KS5 | Discrete/Decision Maths | Graph Theory | Hamiltonian/Eulerian paths/cycles | Yes | drfrostmaths.com/resourceexplorer.php?tid=162 | |

Exam Skill | E524 | KS5 | Discrete/Decision Maths | Linear Programming | Formation of LP problems and solving using simplex algorithm. | Yes | drfrostmaths.com/resourceexplorer.php?tid=189 | |

Exam Skill | E525 | KS5 | Discrete/Decision Maths | Linear Programming | Finding solutions with integer values. | Yes | drfrostmaths.com/resourceexplorer.php?tid=189 | |

Exam Skill | E526 | KS5 | Discrete/Decision Maths | Linear Programming | The Big M method. | Yes | drfrostmaths.com/resourceexplorer.php?tid=189 | |

Exam Skill | E527 | KS5 | Discrete/Decision Maths | Critical Path Analysis | Modelling a project as a graph. | Yes | drfrostmaths.com/resourceexplorer.php?tid=196 | |

Exam Skill | E528 | KS5 | Discrete/Decision Maths | Critical Path Analysis | Early and late event times, critical activities, and floats. | Yes | drfrostmaths.com/resourceexplorer.php?tid=196 | |

Exam Skill | E529 | KS5 | Discrete/Decision Maths | Critical Path Analysis | Gantt Charts | Yes | drfrostmaths.com/resourceexplorer.php?tid=196 | |

Exam Skill | E530 | KS5 | Discrete/Decision Maths | Critical Path Analysis | Resource histograms and scheduling. | Yes | drfrostmaths.com/resourceexplorer.php?tid=196 | |

Exam Skill | E531 | KS5 | Further Pure Mathematics | Combinatorics | Counting problems | Yes | drfrostmaths.com/resourceexplorer.php?tid=139 | |

Exam Skill | E532 | KS5 | Further Pure Mathematics | Number Theory | Division Theorem and Euclidean Algorithm. | Yes | drfrostmaths.com/resourceexplorer.php?tid=138 | |

Exam Skill | E533 | KS5 | Further Pure Mathematics | Number Theory | Bezout's Identity. | Yes | drfrostmaths.com/resourceexplorer.php?tid=138 | |

Exam Skill | E534 | KS5 | Further Pure Mathematics | Number Theory | Modular arithmetic and Fermat's Little Theorem. | Yes | drfrostmaths.com/resourceexplorer.php?tid=138 | |

Exam Skill | E535 | KS5 | Further Pure Mathematics | Number Theory | Divisibility tests. | Yes | drfrostmaths.com/resourceexplorer.php?tid=138 | |

Exam Skill | E536 | KS5 | Further Pure Mathematics | Number Theory | Solutions of simple congruence equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=138 | |

Exam Skill | E537 | KS5 | Further Pure Mathematics | Group Theory | Axioms of a group. | Yes | drfrostmaths.com/resourceexplorer.php?tid=137 | |

Exam Skill | E538 | KS5 | Further Pure Mathematics | Group Theory | Examples of groups including Cayley tables and cyclic groups. | Yes | drfrostmaths.com/resourceexplorer.php?tid=137 | |

Exam Skill | E539 | KS5 | Further Pure Mathematics | Group Theory | Orders of groups, orders of elements and subgroups. | Yes | drfrostmaths.com/resourceexplorer.php?tid=137 | |

Exam Skill | E540 | KS5 | Further Pure Mathematics | Group Theory | Lagrange's theorem. | Yes | drfrostmaths.com/resourceexplorer.php?tid=137 | |

Exam Skill | E541 | KS5 | Further Pure Mathematics | Group Theory | Isomorphism. | Yes | drfrostmaths.com/resourceexplorer.php?tid=137 | |

Exam Skill | E542 | KS5 | Further Pure Mathematics | Complex Numbers | Construct and interpret simple loci in an Argand diagram. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E543 | KS5 | Further Pure Mathematics | Complex Numbers | Construct and interpret more complex loci in an Argand diagram, including |z-a| = k|z-b|, arg(z-a)/(x-b) = beta and inequalities. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E544 | KS5 | Further Pure Mathematics | Complex Numbers | Elementary transformations from the z-plane to the w-plane. | Yes | drfrostmaths.com/resourceexplorer.php?tid=118 | |

Exam Skill | E545 | KS5 | Further Pure Mathematics | Further Sequences | First and second order recurrence relations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=188 | |

Exam Skill | E546 | KS5 | Further Pure Mathematics | Further Sequences | Solutions of recurrence relations to obtain closed forms. | Yes | drfrostmaths.com/resourceexplorer.php?tid=188 | |

Exam Skill | E547 | KS5 | Further Pure Mathematics | Matrices | Eigenvalues and eigenvectors, diagonal form. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E548 | KS5 | Further Pure Mathematics | Matrices | Cayley-Hamilton theorem. | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E549 | KS5 | Further Pure Mathematics | Matrices | Use Gaussian Elimination to solve a system of equations (SQA only) | Yes | drfrostmaths.com/resourceexplorer.php?tid=119 | |

Exam Skill | E550 | KS5 | Further Pure Mathematics | Further Calculus | Reduction formulae. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E551 | KS5 | Further Pure Mathematics | Further Calculus | Arc length or area of surface of revolution for Cartesian, parametric or polar equations. | Yes | drfrostmaths.com/resourceexplorer.php?tid=129 | |

Exam Skill | E552 | KS5 | Statistics | Regression | Find equation of least squares regression line. | Yes | drfrostmaths.com/resourceexplorer.php?tid=146 | |

Exam Skill | E553 | KS5 | Statistics | Regression | Residual sum of squares. (FM only) | Yes | drfrostmaths.com/resourceexplorer.php?tid=146 | |

Exam Skill | E554 | KS5 | Statistics | Correlation | Spearman's rank correlation coefficient. | Yes | drfrostmaths.com/resourceexplorer.php?tid=147 | |

Exam Skill | E555 | KS5 | Statistics | Continuous Distributions | Understand that the area under a probability density graph yields the probability (mass), and that the total area is 1. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E556 | KS5 | Statistics | Continuous Distributions | Cumulative distribution functions for continuous distributions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E557 | KS5 | Statistics | Continuous Distributions | Mean and variance of continuous distributions. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E558 | KS5 | Statistics | Continuous Distributions | Mode, median and percentiles of continuous random variables. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E559 | KS5 | Statistics | Data Presentation and Interpretation | Skewness of data. | Yes | drfrostmaths.com/resourceexplorer.php?tid=141 | |

Exam Skill | E560 | KS5 | Statistics | Continuous Distributions | Continuous uniform (rectangular) distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E561 | KS5 | Statistics | Continuous Distributions | Find the distribution of linear combinations of normal random variables. | Yes | drfrostmaths.com/resourceexplorer.php?tid=144 | |

Exam Skill | E562 | KS5 | Statistics | Hypothesis Tests | Estimators, bias and standard error. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E563 | KS5 | Statistics | Hypothesis Tests | Calculate and use confidence intervals. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E564 | KS5 | Statistics | Hypothesis Tests | F-distribution | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E565 | KS5 | Statistics | Hypothesis Tests | t-distribution. | Yes | drfrostmaths.com/resourceexplorer.php?tid=145 | |

Exam Skill | E566 | KS5 | Further Pure Mathematics | Further Calculus | Improper integrals where one of the limits extends to infinity. | drfrostmaths.com/resourceexplorer.php?tid=129 | ||

Exam Skill | E567 | KS5 | Further Pure Mathematics | Further Calculus | Use series expansions to find limits. | drfrostmaths.com/resourceexplorer.php?tid=129 | ||

Exam Skill | E568 | KS5 | Discrete/Decision Maths | Graph Theory | Voronoi Diagrams | drfrostmaths.com/resourceexplorer.php?tid=162 | ||

Exam Skill | E569 | KS5 | Statistics | Probability | Permutations and Combinations | drfrostmaths.com/resourceexplorer.php?tid=142 | ||

Exam Skill | E570 | KS5 | Statistics | Hypothesis Tests | Hypothesis test on the difference of means. | drfrostmaths.com/resourceexplorer.php?tid=145 | ||

Exam Skill | E571 | KS3/4 | Computer Science | Networks | The Internet | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E572 | KS3/4 | Computer Science | Networks | Network Topologies | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E573 | KS3/4 | Computer Science | Algorithms | Sorting Algorithms | drfrostmaths.com/resourceexplorer.php?tid=179 | ||

Exam Skill | E574 | KS3/4 | Computer Science | Data Representation | Binary & Hexadecimal | drfrostmaths.com/resourceexplorer.php?tid=181 | ||

Exam Skill | E575 | KS3/4 | Computer Science | Running & Testing Programs | Defensive Design Considerations | drfrostmaths.com/resourceexplorer.php?tid=180 | ||

Exam Skill | E576 | KS3/4 | Computer Science | Data Representation | Storing Sound | drfrostmaths.com/resourceexplorer.php?tid=181 | ||

Exam Skill | E577 | KS3/4 | Computer Science | Data Representation | Storing Characters | drfrostmaths.com/resourceexplorer.php?tid=181 | ||

Exam Skill | E578 | KS3/4 | Computer Science | Algorithms | Computational Thinking | drfrostmaths.com/resourceexplorer.php?tid=179 | ||

Exam Skill | E579 | KS3/4 | Computer Science | Algorithms | Search Algorithms | drfrostmaths.com/resourceexplorer.php?tid=179 | ||

Exam Skill | E580 | KS3/4 | Computer Science | Algorithms | Writing Algorithms, Pseudocode & Flow Diagrams | drfrostmaths.com/resourceexplorer.php?tid=179 | ||

Exam Skill | E581 | KS3/4 | Computer Science | Data Representation | Logic Circuits & Truth Tables | drfrostmaths.com/resourceexplorer.php?tid=181 | ||

Exam Skill | E582 | KS3/4 | Computer Science | Networks | Network Security Threats | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E583 | KS3/4 | Computer Science | Running & Testing Programs | Translators | drfrostmaths.com/resourceexplorer.php?tid=180 | ||

Exam Skill | E584 | KS3/4 | Computer Science | Components of a Computer | Components of a Computer & The CPU | drfrostmaths.com/resourceexplorer.php?tid=182 | ||

Exam Skill | E585 | KS3/4 | Computer Science | Programming Techniques | Data Types & Variables | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E586 | KS3/4 | Computer Science | Components of a Computer | Secondary Storage | drfrostmaths.com/resourceexplorer.php?tid=182 | ||

Exam Skill | E587 | KS3/4 | Computer Science | Data Representation | Storing Images | drfrostmaths.com/resourceexplorer.php?tid=181 | ||

Exam Skill | E588 | KS3/4 | Computer Science | Components of a Computer | Systems Software & The OS | drfrostmaths.com/resourceexplorer.php?tid=182 | ||

Exam Skill | E589 | KS3/4 | Computer Science | Data Representation | Compression | drfrostmaths.com/resourceexplorer.php?tid=181 | ||

Exam Skill | E590 | KS3/4 | Computer Science | Networks | Network Hardware | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E591 | KS3/4 | Computer Science | Programming Techniques | File Handling Operations | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E592 | KS3/4 | Computer Science | Running & Testing Programs | IDEs | drfrostmaths.com/resourceexplorer.php?tid=180 | ||

Exam Skill | E593 | KS3/4 | Computer Science | Components of a Computer | Memory & System Performance | drfrostmaths.com/resourceexplorer.php?tid=182 | ||

Exam Skill | E594 | KS3/4 | Computer Science | Programming Techniques | Searching Data (using SQL) | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E595 | KS3/4 | Computer Science | Programming Techniques | Records | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E596 | KS3/4 | Computer Science | Programming Techniques | Functions & Procedures | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E597 | KS3/4 | Computer Science | Networks | LANs & WANs | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E598 | KS3/4 | Computer Science | Programming Techniques | String Manipulation | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E599 | KS3/4 | Computer Science | Networks | Wireless Networks | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E600 | KS3/4 | Computer Science | Programming Techniques | Arrays | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E601 | KS3/4 | Computer Science | Networks | Client-Server & Peer-to-Peer Networks | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E602 | KS3/4 | Computer Science | Programming Techniques | Control Flow & Loops | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E603 | KS3/4 | Computer Science | Networks | Network Protocols | drfrostmaths.com/resourceexplorer.php?tid=183 | ||

Exam Skill | E604 | KS3/4 | Computer Science | Programming Techniques | Arithmetic & Boolean Operators | drfrostmaths.com/resourceexplorer.php?tid=178 | ||

Exam Skill | E605 | KS3/4 | Computer Science | Ethical & Legal Issues | Legislation & Issues | drfrostmaths.com/resourceexplorer.php?tid=184 | ||

Exam Skill | E606 | KS3/4 | Computer Science | Running & Testing Programs | Testing & Identifying Errors | drfrostmaths.com/resourceexplorer.php?tid=180 | ||

Exam Skill | E607 | KS3/4 | Shape, Space & Measures | Construction, Loci & Scale Drawings | Measure lengths. | drfrostmaths.com/resourceexplorer.php?tid=27 |