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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 - 3,136 Maths questions across 42 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 · Vectors & Transformations
OA = a, OB = b. Point C lies on AB produced such that AB:BC = 1:1. Express OC in terms of a and b.
  1. 2b - a
  2. a + b
  3. b - a
  4. 2a - b
Show the answer

2b - a

BC = AB = b - a. OC = OB + BC = b + (b - a) = 2b - a.

Question 2 · Statistics and Probability
What is the perimeter of a semicircle with diameter 10 cm?
  1. (5π + 10) cm
  2. 10π cm
  3. 25π cm
  4. (10π + 10) cm
Show the answer

(5π + 10) cm

Perimeter of semicircle = half circumference + diameter = (πd/2) + d = π(5) + 10 = 5π + 10 cm. Do not forget to add the diameter — the perimeter includes the straight edge! Numerically: 5π ≈ 15.7, so perimeter ≈ 25.7 cm.

Question 3 · Circle Theorems & Advanced Geometry
A ship travels 5 km North then 12 km East. What is the bearing of the ship from its starting point?
  1. 023°
  2. 067°
  3. 113°
  4. 157°
Show the answer

067°

Angle from North = arctan(12/5) ≈ 67.4°. Bearing is measured clockwise from North, so ≈ 067°.

Question 4 · Circle Theorems & Advanced Geometry
An arc has length 8π cm and the radius is 12 cm. What is the sector angle?
  1. 60°
  2. 90°
  3. 120°
  4. 150°
Show the answer

120°

Arc length = (θ/360) × 2πr → 8π = (θ/360) × 24π → θ/360 = 8/24 = 1/3 → θ = 120°.

Question 5 · EOY Exam 2026 — All Topics
Each exterior angle of a regular polygon is 36°. How many sides does it have?
  1. 8
  2. 9
  3. 10
  4. 12
Show the answer

10

360 ÷ 36 = 10 sides.

Question 6 · GCSE Geometry & Statistics
Spearman rank correlation = -0.95. This means:
  1. Strong negative correlation
  2. Strong positive correlation
  3. No correlation
  4. Moderate positive correlation
Show the answer

Strong negative correlation

Spearman rs close to -1 means strong negative rank correlation.

Question 7 · Statistics
A histogram bar spans from 20 to 30 with a frequency density of 4. What is the frequency for that class?
  1. 40
  2. 4
  3. 10
  4. 400
Show the answer

40

Frequency = frequency density × class width = 4 × 10 = 40.

Question 8 · Graphs
What is the gradient of the line joining (3, 7) and (3, 15)?
  1. Undefined
  2. 0
  3. 8
  4. 1
Show the answer

Undefined

Both points have x = 3, so this is a vertical line. The gradient of a vertical line is undefined.

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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?

3,136 in Maths alone, and 44,980 across 28 GCSE subjects. Signing up is free.

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