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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 3/5 of £45.

  1. £9
  2. £15
  3. £27
  4. £75
Show answer & explanation
✓ Answer: C — £27
Award 1 mark. One fifth of £45 is £9, so three fifths is 3 × £9 = £27. The other options (£9; £15; and £75) do not fit.
Q2 · Difficulty 1/3

Write 20 minutes as a fraction of an hour, in its simplest form.

  1. 1/20
  2. 1/4
  3. 1/3
  4. 2/3
Show answer & explanation
✓ Answer: C — 1/3
Award 1 mark. There are 60 minutes in an hour, so 20 minutes is 20/60 = 1/3 of an hour. The other options (1/20; 1/4; and 2/3) do not fit.
Q3 · Difficulty 1/3

5 pens cost £3.50. How much do 8 pens cost?

  1. £6.50
  2. £4.80
  3. £5.60
  4. £5.30
Show answer & explanation
✓ Answer: C — £5.60
60. Award 1 mark. One pen costs £3.50 ÷ 5 = 70p, so 8 cost £5.60. The other values do not follow from 70p per pen.
Q4 · Difficulty 1/3

A cyclist covers 45 km in 2.5 hours. How fast is she travelling on average, in km/h?

  1. 112.5 km/h
  2. 47.5 km/h
  3. 18 km/h
  4. 9 km/h
Show answer & explanation
✓ Answer: C — 18 km/h
Award 1 mark. Speed = distance ÷ time = 45 ÷ 2.5 = 18 km/h. 112.5 multiplies, 47.5 adds, and 9 divides by 5.
Q5 · Difficulty 1/3

A car travels at 50 mph for 3 hours. How far does it travel?

  1. 53 miles
  2. 16.7 miles
  3. 100 miles
  4. 150 miles
Show answer & explanation
✓ Answer: D — 150 miles
Award 1 mark. Distance = speed × time = 50 × 3 = 150 miles. The other options (53 miles; 16.7 miles; and 100 miles) do not fit.
Q6 · Difficulty 1/3

Increase 50 by 10%.

  1. 60
  2. 50.1
  3. 55
  4. 5
Show answer & explanation
✓ Answer: C — 55
Award 1 mark. 10% of 50 is 5, so the new amount is 50 + 5 = 55. The other options (60; 50.1; and 5) do not fit.
Q7 · Difficulty 1/3

The exchange rate is £1 = $1.25. How many dollars is £40?

  1. $50
  2. $32
  3. $41.25
  4. $48
Show answer & explanation
✓ Answer: A — $50
Award 1 mark. Pounds to dollars means multiplying by the rate: 40 × 1.25 = $50. $32 divides by 1.25, $41.25 adds the rate, and $48 multiplies by 1.2.
Q8 · Difficulty 1/3

A bag of 12 oranges costs £3. What is the cost of one orange?

  1. 36p
  2. 4p
  3. 40p
  4. 25p
Show answer & explanation
✓ Answer: D — 25p
Award 1 mark. Change £3 to pence first: £3 = 300p, and 300p ÷ 12 oranges = 25p for each orange. The other options (36p; 4p; and 40p) do not fit.
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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.