GCSE question compilation which aims to cover all types of questions that might be seen on the topic of straight line equations (including tangents to circles). Students can complete this set of questions interactively on the DFM Homework Platform. Also contains answers.
Finding the equation to a tangent of a circle, and associated questions. Part of the new GCSE specification.
Covers all parts of the GCSE and IGCSE Further Maths specifications including perpendicular lines. (Updated for 2016-17 academic year)
(a) Recap: Know equations of vertical and horizontal lines (e.g. x = 3) and also y = x and y = -x. (b) Appreciate the conceptual line between lines and their equation (i.e. a line is a set of points that satisfies the equation). (c) Plot graphs usng a table of values (both linear and quadratic equations). (d) Find gradient given (i) the equation of the line or (ii) two points on the line. Appreciate gradient gradient is the y-change per unit x change. Includes negative and fractional gradients. (e) Recognise and use y = mx + c. Find equation of a line given a drawing, and vice versa. (f) Appreciate that parallel lines have the same gradient. (g) Determine the x and y intercept of a line.
Key Skills are finegrained question types where students can practise randomly generated questions with accompanying short worked-example videos.