Covers the principle of counterexamples as well as proofs to do with even/oddness, consecutive numbers and digits. For high ability students.
Covers Maths Challenge/Olympiad questions (Junior and Intermediate level) which require filling in a structure with the numbers 1 to n such that the sum in each line in the structure is the same.
Covers geometric problems (involving lengths, angles and area) found in Intermediate Maths Challenges and Olympiads.
All harder 'algebra' questions from the Intermediate Maths Challenge between Q16-25, in the years 2004-2012. Includes solutions. Tiffin students, instead use the department's UKMT database (see Enrichment page).
Intermediate Maths Olympiad question compilation on the topic of algebra. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).
A topical index of the questions found in the UKMT Junior and Intermediate Mentoring worksheets. Certainly not exhaustive!
Intermediate Maths Olympiad question compilation on the topic of geometry. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).
All harder 'geometry' questions from the Intermediate Maths Challenge between Q16-25, in the years 2004-2012. Includes solutions. Tiffin students, instead use the department's UKMT database (see Enrichment page).
Intermediate Maths Olympiad question compilation on the topic of speed, distance and time. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).
All harder 'number theory' questions from the Intermediate Maths Challenge between Q16-25, in the years 2004-2012. Includes solutions. Tiffin students, instead use the department's UKMT database (see Enrichment page).
All harder 'number' questions from the Intermediate Maths Challenge between Q16-25, in the years 2004-2012. Includes solutions. Tiffin students, instead use the department's UKMT database (see Enrichment page).
Intermediate Maths Olympiad question compilation on the topic of logic, combinatorics and spatial reasoning. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).
Find the proportion of each shape shaded. Some are very tough! Designed to be practice for the Intermediate and Senior Maths Challenges and Olympiads. Resources as part of the Zeta Club.
Intermediate Maths Olympiad question compilation on the topic of number theory. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).
All harder 'spatial reasoning' questions from the Intermediate Maths Challenge between Q16-25, in the years 2004-2012. Includes solutions. Tiffin students, instead use the department's UKMT database (see Enrichment page).
Solving equations in which integer solutions are required.
All harder 'sequences' questions from the Intermediate Maths Challenge between Q16-25, in the years 2004-2012. Includes solutions. Tiffin students, instead use the department's UKMT database (see Enrichment page).
Intermediate Maths Olympiad question compilation on the topic of sequences. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).
Intermediate Maths Olympiad question compilation on the topic of number grids. Numerical solutions included. Note that the 'Puzz Points' were for when these were printed as laminated cards, which I kept in a pack for use in lessons. 10/13 points were for Cayley questions (Year 9 Olympiad), 15/18 for Hamilton (Year 10), 20/23 for Maclaurin (Year 11).