United Kingdom · A-Level

England A-Level Maths AQA Paper 2 free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper England A-Level Maths AQA Paper 2 set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

Find the magnitude of the vector 2i − 6j − 3k. Circle the correct answer. [1 mark]

A 49

B 7

C 48

D 11

Worked answer

Correct answer: B — 7

  • Magnitude = √(sum of squares of the components) = √(2² + 6² + 3²).
  • = √49 = 7.
  • Marks (TPH scheme): B1 [AO1]. The other options come from common slips: a wrong formula, a wrong sign or a missed step.

Magnitude is the square root of the sum of the squared components.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the England A-Level Maths AQA Paper 2 free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 3-page PDF; this page shows question 1 with its answer.

How many full England A-Level Maths AQA Paper 2 papers are there?

20 original papers for A-level students in England preparing for AQA Mathematics (7357) Paper 2. Each is a 100-mark, 2-hour pure mathematics and mechanics paper (Section A pure, Section B mechanics) in the AQA 7357 Paper 2 layout, calculator allowed, set harder than the real exam, with a TPH mark scheme and formulae page, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.