GCSE & iGCSE Vectors worksheet

Vectors worksheet for GCSE and iGCSE maths: column vectors, drawing vectors, magnitudes, and proving lines parallel and points collinear. With solutions.

A complete vectors worksheet for Pearson Edexcel GCSE (1MA1) and International GCSE (4MA1), written so one resource works for both tiers. Every section is clearly labelled Foundation or Higher, and questions get harder as you go.

What’s covered — Foundation

Adding, subtracting and multiplying column vectors
Reading and drawing vectors on a grid
Solving vector equations and finding magnitudes

What’s covered — Higher (grades 6 to 9)

Writing vectors in terms of a and b
Proving that lines are parallel
Proving that points are collinear

How it’s structured

A. Worked examples & Your turn — a model solution beside a matching question to try
B. Fluency — core skills
C. Reasoning — explain it
D. Problem solving — unfamiliar, multi-step questions
E. Exam practice — exam-style questions with mark allocations

123 marks across Sections B to E (61 Foundation, 62 Higher), with a progress tracker on the front page so students can record their score per section. The collinearity and parallel proofs are the grade 8 to 9 end of this topic and are the reason vector questions are so often left blank.

How to use it

Works as a full lesson, homework, a cover lesson or targeted intervention. Because each tier is labelled, you can set the Foundation sections to one group and the Higher sections to another from the same print.

What’s included

13-page worksheet (PDF, printable, with diagrams and answer spaces)
7-page full worked solutions (PDF) — complete method for every question, not just final answers
No calculator

Specification

Pearson Edexcel GCSE Mathematics (1MA1) and International GCSE Mathematics (4MA1), Geometry and Measures. All questions are original.