GCSE Vectors Higher Worksheet + Mark Scheme
A 15-question Vectors worksheet for GCSE Higher students. 47 marks, 50 minutes. Includes full mark scheme with method marks.
Worksheet 1 of an upcoming Vectors series — perfect for Year 10 introduction or Year 11 revision. Aligned to Edexcel 1MA1, AQA 8300, and OCR J560.
WHAT’S INCLUDED
Worksheet (Word .docx and PDF) — 15 questions, 47 marks
Mark scheme (Word .docx and PDF) — full method credit, examiner notes, common-error commentary
WORKSHEET STRUCTURE
Section A — Fluency (Q1–Q7, 15 marks): magnitude, addition, subtraction, scalar multiplication
Section B — Exam-Style (Q8–Q11, 14 marks): combined operations, real-world contexts, finding unknown components
Section C — Problem-Solving (Q12–Q15, 18 marks): position vectors and midpoints, parallel vectors as scalar multiples, magnitude with quadratic algebra
TOPICS COVERED
Column vector notation, magnitude (Pythagoras), vector addition and subtraction, scalar multiplication, position vectors, midpoints, parallel vectors, finding unknown components, surd simplification, “show that” quadratic problems.
PERFECT FOR
Year 10 Higher introduction lessons
Year 11 Higher revision and intervention
Setting as homework, in-class practice, or end-of-topic assessment
Stretching top-set students with Section C problem-solving
The Word .docx files are fully editable so you can adjust questions, swap names, or rebrand for your school.
This is Worksheet 1 of the Vectors series. Worksheets 2–4 (covering geometric vectors, ratio along a line, and vector proofs) will follow shortly.
