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GCSE maths revision questions

Free GCSE maths practice for Year 11, nine months out from the May/June 2027 exams. Every question below comes from GradeNinja's own bank - 3,357 Maths questions across 53 topics.

What to prioritise in Maths

Maths is the subject where practice and grade line up most directly, because almost nothing on the paper is recall - it is method, applied under time pressure. You cannot revise maths by reading maths.

Work in short sets of questions rather than long sessions, and every time you get one wrong, redo it from scratch the next day rather than just reading the solution. Reading a worked solution feels like learning and reliably is not.

Exam board

Our Maths questions follow the Edexcel specification. If your school uses a different board most of the content still overlaps, but check your own spec.

How to use these

Answer before you open the explanation. The moment of not-quite-knowing is the part that does the work, and skipping to the answer skips the learning.

Anything you get wrong, come back to tomorrow rather than immediately. Getting it right straight after seeing the answer proves nothing.

The nine months ahead

Maths practice questions

Real questions from GradeNinja's own bank, with the answer and the explanation the app gives. Tap to reveal.

Question 1 · Trigonometry
In a right-angled triangle, if the angle is 40° and the hypotenuse is 15 cm, what is the opposite side (to 1 d.p.)?
  1. 9.6 cm
  2. 11.5 cm
  3. 15.6 cm
  4. 19.6 cm
Show the answer

9.6 cm

Opposite = hypotenuse × sin(angle) = 15 × sin(40°) ≈ 15 × 0.6428 ≈ 9.6 cm.

Question 2 · GCSE Number & Algebra (Edexcel Higher)
Find the nth term of the sequence: 5, 9, 13, 17, ...
  1. 4n + 1
  2. 5n
  3. 4n + 5
  4. n + 4
Show the answer

4n + 1

d = 4. nth term = 5 + (n−1)×4 = 5 + 4n − 4 = 4n + 1. Check: n=1: 5 ✓, n=2: 9 ✓.

Question 3 · End of Year Exam — All Topics
A formula gives: T = 3n + 7. Find T when n = 4.
  1. 19
  2. 15
  3. 22
  4. 12
Show the answer

19

T = 3(4) + 7 = 12 + 7 = 19.

Question 4 · Number
What is 15/4 as a mixed number?
  1. 3 3/4
  2. 3 1/4
  3. 4 3/4
  4. 3 2/4
Show the answer

3 3/4

15 ÷ 4 = 3 remainder 3. So 15/4 = 3 3/4. Check: 3 × 4 + 3 = 15 ✓.

Question 5 · GCSE Geometry & Statistics
Which information is always needed to fully describe a rotation?
  1. Centre, angle, and direction
  2. Only the angle
  3. Angle and direction only
  4. Centre and scale factor
Show the answer

Centre, angle, and direction

A rotation requires: centre of rotation, angle of rotation, and direction (clockwise or anticlockwise).

Question 6 · Algebra
The perimeter of a rectangle is 2(l + w). If the perimeter is 40 and w = 7, what is l?
  1. 13
  2. 9
  3. 26
  4. 20
Show the answer

13

2(l + 7) = 40. l + 7 = 20. l = 13. Check: 2(13 + 7) = 2(20) = 40 ✓.

Question 7 · Algebra
A function is defined as f(x) = 4x - 7. What is f⁻¹(x)?
  1. (x + 7) / 4
  2. (x - 7) / 4
  3. 4x + 7
  4. (7 - x) / 4
Show the answer

(x + 7) / 4

Let y = 4x - 7. Swap x and y: x = 4y - 7. Rearrange: y = (x + 7)/4. So f⁻¹(x) = (x + 7)/4.

Question 8 · Vectors & Proof
Give a counter-example to disprove: 'All prime numbers are odd'.
  1. 7 is prime and odd
  2. 2 is prime and even
  3. 9 is odd but not prime
  4. 1 is not prime
Show the answer

2 is prime and even

A counter-example just needs one case where the claim fails. 2 is prime and even, so the claim 'all primes are odd' is false.

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Common questions

How should I revise Maths for GCSE?

Short, frequent sessions of active recall beat long sessions of re-reading. Test yourself, check, and revisit anything you got wrong a day or two later rather than immediately.

Which exam board are these Maths questions for?

Edexcel. Content overlaps heavily between boards, so they are still useful on another spec, but check your own specification for anything board-specific.

When are the GCSE exams?

GCSEs are sat across May and June, so for the current Year 11 that means May/June 2027. Exact paper dates come from the exam boards and your school.

How many questions are there in the app?

3,357 in Maths alone, and 55,718 across 28 subjects. Signing up is free.

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