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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

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.
Q2 · Difficulty 1/3

Which of the following correctly describes the perpendicular bisector of a line segment AB?

  1. A line that cuts AB at 90° and passes through point A
  2. A line that cuts AB at 90° and passes through its midpoint
  3. A line that cuts AB at 45° and passes through its midpoint
  4. A line parallel to AB passing through its midpoint
Show answer & explanation
✓ Answer: B — A line that cuts AB at 90° and passes through its midpoint
The perpendicular bisector of AB is a line that intersects AB at exactly 90° AND passes through the midpoint of AB — both conditions must be satisfied. Option B is wrong because the angle must be 90°, not 45°. Option C is wrong because it must pass through the midpoint, not endpoint A. Option D is wrong because it must be perpendicular to AB, not parallel.
Q3 · Difficulty 1/3

What is the mode?

  1. The middle value
  2. The most frequently occurring value
  3. The average
  4. The range
Show answer & explanation
✓ Answer: B — The most frequently occurring value
Mode = most common value. A data set can have no mode, one mode, or multiple modes (bimodal/multimodal).
Q4 · Difficulty 2/3

Expand and simplify: (x+4)(x−3)

  1. x² + x − 12
  2. x² − x − 12
  3. x² + 7x − 12
  4. x² + x + 12
Show answer & explanation
✓ Answer: A — x² + x − 12
x² − 3x + 4x − 12 = x² + x − 12.
Q5 · 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.
Q6 · 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.
Q7 · Difficulty 1/3

Share £150 in the ratio 2:3

  1. £60 and £90
  2. £50 and £100
  3. £75 and £75
  4. £30 and £120
Show answer & explanation
✓ Answer: A — £60 and £90
Total parts = 5. Each part = 150÷5 = £30. So 2×30 = £60, 3×30 = £90.
Q8 · 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.
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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.