GCSE Maths Revision Guide
Vectors
Work with column vectors and vector geometry. This free GCSE Maths module combines short explanations, worked examples, flashcard-style recall, and timed practice so students can revise the topic without creating an account.
Foundation Skills
Column Vectors
Shows movement: top number is x (left/right), bottom is y (up/down).
Example: [3, -2] means 3 right, 2 down.
Adding Vectors
Add the top numbers and add the bottom numbers separately.
Example: [1, 2] + [3, 4] = [4, 6]
Multiplying by a Scalar
Multiply both components by the number outside.
Example: 3 × [2, 1] = [6, 3]
Higher Skills
Vector Geometry
Find paths across a shape by following known vectors. `BA = −AB`.
Parallel Vectors
Two vectors are parallel if one is a multiple of the other.
Example: [1, 2] is parallel to [5, 10].
Midpoints & Ratios
Use ratios to find parts of vectors (e.g. "P is 1/3 of the way along AB").