GCSE Mathematics
GCSE Mathematics is a compulsory qualification taken by nearly all students in England at age 15–16. It covers number, algebra, ratio, geometry, probability, and statistics across two tiers: Foundation (grades 1–5) and Higher (grades 4–9).
Difficulty
Moderate
Popularity
92%
Past questions
2
Study tips
5
Key Topics
Exam Format & Dates
May/June (main series) + November (resit)
4 hours 30 minutes total across 3 papers
Grades 1–9 (9 = highest)
Grade 4 = standard pass | Grade 5 = strong pass (required by many employers and sixth forms)
| Section | Duration | Content | Weight |
|---|---|---|---|
| Paper 1 — Non-Calculator | 1 hour 30 minutes | 80 marks✗ No calculator | 33% |
| Paper 2 — Calculator | 1 hour 30 minutes | 80 marks✓ Calculator | 33% |
| Paper 3 — Calculator | 1 hour 30 minutes | 80 marks✓ Calculator | 33% |
Exam Breakdown & Insights
Difficulty · Challenging
Popularity score
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Study Tips
- 1
Know which tier you are sitting — Foundation and Higher have different grade ceilings and some different topics.
- 2
Show ALL working — method marks are available even if your final answer is wrong.
- 3
Memorise the formulae not given in the exam: area of a circle, Pythagoras, trigonometric ratios, and quadratic formula.
- 4
Practice past papers from your specific exam board — question styles and mark schemes differ meaningfully between AQA, Edexcel, and OCR.
- 5
Ratio, proportion, and percentage questions appear on every paper. Make sure these are automatic.
Past Exam Questions
Solve the simultaneous equations: 3x + 2y = 12 and x − y = 1. Show your method clearly. [3 marks]
A circle has radius 7 cm. (a) Calculate the area, giving your answer to 2 decimal places. (b) Calculate the circumference. [4 marks]
Common Mistakes to Avoid
- ✕
Skipping steps in working, which throws away method marks when the final answer is wrong.
- ✕
Not sanity-checking answers for reasonableness (wrong units, impossible magnitudes, extraneous solutions).
- ✕
Dropping negative signs and misapplying the order of operations under time pressure.
Official Resources
Free, official study material for GCSE Mathematics — always start with the source your exam board publishes.
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