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WJEC · GCSE · Mathematics

Free WJEC GCSE Mathematics
Practice Paper

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

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What the real WJEC 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 cuboid measures 5 × 4 × 2 cm. Its volume is:

  1. 80 cm³
  2. 20 cm³
  3. 40 cm³
  4. 11 cm³
Show answer & explanation
✓ Answer: C — 40 cm³
5 × 4 × 2 = 40 cm³.
Q2 · Difficulty 1/3

Angles around a point add up to:

  1. 270°
  2. 360°
  3. 180°
  4. 90°
Show answer & explanation
✓ Answer: B — 360°
Angles around a point total 360°.
Q3 · Difficulty 1/3

Find the mode of 3, 3, 5, 7, 7, 7, 9.

  1. 9
  2. 7
  3. 3
  4. 5
Show answer & explanation
✓ Answer: B — 7
7 occurs most often.
Q4 · Difficulty 2/3

The sum of interior angles of a hexagon is:

  1. 540°
  2. 360°
  3. 1080°
  4. 720°
Show answer & explanation
✓ Answer: D — 720°
(6 − 2) × 180 = 720°.
Q5 · Difficulty 2/3

Solve 6x − 5 = 19.

  1. x = 4
  2. x = 3
  3. x = 5
  4. x = 2
Show answer & explanation
✓ Answer: A — x = 4
6x = 24, x = 4.
Q6 · Difficulty 2/3

Factorise x² + 5x + 6.

  1. (x + 1)(x + 6)
  2. (x + 5)(x + 1)
  3. (x + 2)(x + 4)
  4. (x + 2)(x + 3)
Show answer & explanation
✓ Answer: D — (x + 2)(x + 3)
2 and 3 multiply to 6 and add to 5.
Q7 · Difficulty 1/3

The interior angles of a triangle add up to:

  1. 90°
  2. 270°
  3. 180°
  4. 360°
Show answer & explanation
✓ Answer: C — 180°
Angles in a triangle sum to 180°.
Q8 · Difficulty 2/3

A bag has 2 red, 3 blue and 5 green counters. P(green) = ?

  1. 1/2
  2. 3/10
  3. 1/5
  4. 5/2
Show answer & explanation
✓ Answer: A — 1/2
5 green out of 10 = 1/2.
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WJEC GCSE Mathematics FAQ

What does the WJEC GCSE Mathematics exam look like?
The WJEC 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 WJEC GCSE Mathematics past paper?
Real WJEC past papers are published directly by WJEC 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 WJEC 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.