GCSE Maths Questions by Topic – Free Practice Tests

Free GCSE maths questions by topic for Foundation and Higher tier, marked instantly, with calculator and non-calculator tests and worked explanations.

Exam-board neutral: content follows the DfE GCSE mathematics subject content that all boards in England use. Not affiliated with or endorsed by any exam board, Ofqual or the Department for Education.

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The tests

About these tests

Free GCSE maths practice questions sorted by topic, for both tiers. Each test picks 20 questions at random from a bank of 40 or more, so every attempt is different. Answers are marked straight away and every question has a short worked explanation.

The questions follow the GCSE mathematics subject content published by the Department for Education, which every exam board in England uses, so they suit any board. They are written by Classfern and are not past-paper questions.

Foundation tests cover the content on both tiers. Higher tests add the Higher-only content (shown in bold in the DfE content) and say so in the introduction. Each test says whether a calculator is allowed.

Key facts

Foundation tier students are awarded a grade from 1 to 5 (or unclassified). Higher tier students are awarded a grade from 4 to 9 (or unclassified), with a grade 3 allowed for a Higher tier student who just misses grade 4. Source: Ofqual: GCSE (9 to 1) Subject Level Conditions and Requirements for Mathematics (Tiering requirements, paragraphs 4–5); GOV.UK: Gcse 9 to 1 subject level conditions and requirements for mathematics
Content weightings – Foundation: number 25%, algebra 20%, ratio, proportion and rates of change 25%, geometry 15%, probability and statistics 15%. Higher: 15%, 30%, 20%, 20% and 15% (each ±3%). Source: Ofqual: GCSE (9 to 1) Subject Level Conditions and Requirements for Mathematics (Tiering requirements, paragraphs 22–23)
Between 33% and 50% of the total marks must come from questions answered without a calculator. Source: Ofqual: GCSE (9 to 1) Subject Level Conditions and Requirements for Mathematics (Condition GCSE(Mathematics)4)
All students are assessed on the content in standard and underlined type; only the more highly attaining students are assessed on the content in bold type. Source: DfE: GCSE mathematics subject content and assessment objectives (DFE-00233-2013) (Subject content); GOV.UK: Gcse mathematics subject content and assessment objectives
For current GCSE maths exams, students are given a formulae sheet; DfE has decided they do not need to memorise the formulae for the lifetime of the current specifications. Source: Ofqual: Proposed changes to the assessment of mathematics, physics and combined science GCSEs (decision, 5 May 2026) (Outcome / decision)
Together, the key stage 3 and key stage 4 programmes of study cover the full range of material in the GCSE Mathematics qualification. Source: DfE: National curriculum in England – mathematics programmes of study (Key stage 4)

How to use these tests

Pick your tier and a topic. Choose Practice to see the answer and explanation after each question, or Test to see them all at the end.
Have a pen and paper ready: these are written questions, just like the exam, but you type only the final answer.
Round only when a question asks you to, and to the accuracy it gives (for example "correct to 1 decimal place"). Fractions are typed like 3/4.
Use "Try again" for a fresh set of questions from the same bank.

How we wrote these tests

Answers are checked by computer programs, and every test is reviewed by an independent AI checker that didn't write it. Spot a mistake? Use the Report button.

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Plan the teaching

Use these tests for practice at home or in class. See what to teach in GCSE Mathematics, Year 10 Maths, Year 11 Maths, then plan lessons with the free Lesson Plan Maker.

Suggest a test – or, after a test, use “Report a problem with this question” on the answers screen.

Official sources

Classfern practice material. Not an official test and not affiliated with or endorsed by any exam board, Ofqual or the Department for Education.