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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

A student constructs the perpendicular bisector of line segment PQ. Any point on this line is equidistant from which two points?

  1. P and the midpoint of PQ
  2. P and Q
  3. Q and the origin
  4. The midpoint of PQ and the origin
Show answer & explanation
✓ Answer: B — P and Q
Every point on the perpendicular bisector of PQ is exactly equidistant from P and Q — this is the fundamental locus property of a perpendicular bisector. Option A is incorrect as equidistance is between P and Q, not involving the origin. Option C is wrong because equidistance is from both endpoints P and Q, not P and the midpoint. Option D incorrectly introduces the origin.
Q2 · 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.
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 1/3

A recipe for 4 people uses 300g flour. How much for 6 people?

  1. 400g
  2. 450g
  3. 500g
  4. 600g
Show answer & explanation
✓ Answer: B — 450g
Scale factor = 6/4 = 1.5. Flour = 300 × 1.5 = 450g.
Q5 · Difficulty 1/3

What is 0.6 written as a fraction in its simplest form?

  1. 2/3
  2. 1/6
  3. 3/5
  4. 6/10
Show answer & explanation
✓ Answer: C — 3/5
0.6 = 6/10 = 3/5.
Q6 · Difficulty 1/3

Factorise 8x + 12.

  1. 4(2x + 12)
  2. 4(2x + 3)
  3. 2(4x + 6)
  4. 8(x + 12)
Show answer & explanation
✓ Answer: B — 4(2x + 3)
The HCF is 4: 4(2x + 3).
Q7 · Difficulty 1/3

Find the mean of 6, 9, 12, 3.

  1. 7.5
  2. 9
  3. 30
  4. 6
Show answer & explanation
✓ Answer: A — 7.5
Sum 30 ÷ 4 = 7.5.
Q8 · Difficulty 1/3

Simplify the ratio 15 : 25.

  1. 1 : 2
  2. 3 : 4
  3. 3 : 5
  4. 5 : 3
Show answer & explanation
✓ Answer: C — 3 : 5
Divide both parts by 5.
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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.