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Edexcel · GCSE · Mathematics

Free Edexcel GCSE Mathematics
Practice Paper

8 mixed-difficulty practice questions in the style of real Edexcel GCSE papers — answers, mark-scheme-style explanations, and the official exam structure all on one page.

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What the real Edexcel GCSE Mathematics paper looks like

Paper 1
Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 1-4 of the specification.
Paper 2
Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 5-8 of the specification.
Paper 3
Where applicable — e.g. Combined Science, Languages. Includes synoptic and applied questions.
Total exam time: ~3 hours across two or three papers.
Grading: Grades: 9 (highest) to 1 (lowest), with U (ungraded). A grade of 4 is a standard pass; 5 is a strong pass.

Mini practice paper: 8 questions

Mixed-difficulty questions from across the Mathematics syllabus. Tap "Show answer" after each to check yourself.

Q1 · Difficulty 1/3

What is a bearing of 045°?

  1. South-East
  2. North-East
  3. North-West
  4. South-West
Show answer & explanation
✓ Answer: B — North-East
Bearings are measured clockwise from North. 045° = North-East direction.
Q2 · Difficulty 1/3

Find the equation of a line through (0, 3) with gradient 2.

  1. y = 3x + 2
  2. y = 2x + 3
  3. y = 2x − 3
  4. y = −2x + 3
Show answer & explanation
✓ Answer: B — y = 2x + 3
y = mx + c. m = 2, passes through (0,3) so c = 3. y = 2x + 3.
Q3 · Difficulty 1/3

What is the gradient of y = −3x + 7?

  1. 7
  2. 3
  3. −3
  4. −7
Show answer & explanation
✓ Answer: C — −3
In y = mx + c form, gradient m = −3.
Q4 · Difficulty 2/3

Write 360 as a product of prime factors.

  1. 2² × 3 × 5
  2. 2³ × 3² × 5
  3. 4 × 90
  4. 6 × 60
Show answer & explanation
✓ Answer: B — 2³ × 3² × 5
360 = 2×180 = 2×2×90 = 2×2×2×45 = 2×2×2×3×15 = 2×2×2×3×3×5 = 2³×3²×5.
Q5 · Difficulty 2/3

Simplify: (2x³)²

  1. 2x⁶
  2. 4x⁶
  3. 4x⁵
  4. 2x⁵
Show answer & explanation
✓ Answer: B — 4x⁶
(2x³)² = 2² × (x³)² = 4x⁶. Square the coefficient and multiply the index by 2.
Q6 · Difficulty 2/3

Solve: x² − 5x + 6 = 0

  1. x = 2 or x = 3
  2. x = −2 or x = −3
  3. x = 1 or x = 6
  4. x = −1 or x = 6
Show answer & explanation
✓ Answer: A — x = 2 or x = 3
Factorise: (x−2)(x−3) = 0. So x = 2 or x = 3.
Q7 · Difficulty 1/3

A scatter graph shows points rising from left to right. What correlation is this?

  1. Negative
  2. Positive
  3. No correlation
  4. Perfect
Show answer & explanation
✓ Answer: B — Positive
Positive correlation: as one variable increases, the other also increases. Points trend upward from left to right.
Q8 · Difficulty 1/3

A fair coin is flipped. What is P(heads)?

  1. 1/4
  2. 1/2
  3. 1
  4. 0
Show answer & explanation
✓ Answer: B — 1/2
A fair coin has 2 equally likely outcomes. P(heads) = 1/2.
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Edexcel GCSE Mathematics FAQ

What does the Edexcel GCSE Mathematics exam look like?
The Edexcel GCSE Mathematics exam is structured across 3 components. Paper 1: Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 1-4 of the specification. Paper 2: Approximately 1 hour 30 minutes, ~70-100 marks. Covers Topics 5-8 of the specification. Paper 3: Where applicable — e.g. Combined Science, Languages. Includes synoptic and applied questions. Total exam time: ~3 hours across two or three papers.
Can I download a free Edexcel GCSE Mathematics past paper?
Real Edexcel past papers are published directly by Edexcel on their official website. Kramizo doesn't redistribute copyrighted past papers, but we do generate free AI-written practice papers in the exact same style — same command words, same difficulty tier, same mark conventions. Use this practice paper as warm-up, then time yourself on official past papers before exam day.
How is Edexcel GCSE Mathematics graded?
Grades: 9 (highest) to 1 (lowest), with U (ungraded). A grade of 4 is a standard pass; 5 is a strong pass. Kramizo's practice questions are tagged with difficulty 1-3 mapping roughly to the lower, middle, and top grade boundaries you'll encounter in the real exam.