GCSE Maths

GCSE Maths Vectors Exam Questions

Free GCSE Maths exam questions on Vectors, with full model answers. Covers column vectors, adding and multiplying vectors and vector paths.

Vectors exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About GCSE Maths Vectors

Vectors is a Grade 5+ GCSE Maths topic, so it mostly comes up on Foundation and Higher tier papers. These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.

What you need to know

  • Column vectors Top horizontal, bottom vertical.
  • Adding Add components.
  • Paths Go around a shape using known vectors.

Common mistakes in Vectors

  • Wrong direction signs.
  • Adding when going backwards.

Try two Vectors exam-style questions

1. Find 2a + b if a = (3, 1) and b = (−2, 4). (1 mark)

Show the mark scheme answer

(4, 6)

2. If AB = a, what is BA? (1 mark)

Show the mark scheme answer

−a

Vectors FAQs

Which exam boards include Vectors?

These questions suit AQA GCSE, Edexcel GCSE, OCR GCSE, Eduqas GCSE, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is Vectors in GCSE Maths?

It is a Grade 5+ topic, so it mostly appears on Foundation and Higher tier papers.

How should I use these Vectors questions?

Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.