GCSE Maths

Practice papers with model solutions

Original practice sets for GCSE Maths, drawn from our own question bank. Each has a stable link, a printable PDF and a full worked mark scheme.

Foundation - Grades 1-3

Foundation Basics A

Number, fractions, ratio, basic algebra, angles and charts.

13 questions - 40 marks

Open paperDownload PDF

Foundation - Grades 1-3

Foundation Basics B

Core arithmetic, percentages, sequences, perimeter and probability.

19 questions - 40 marks

Open paperDownload PDF

Foundation - Grades 3-5

Foundation Core A

A balanced Foundation mini test across number, algebra and geometry.

28 questions - 60 marks

Open paperDownload PDF

Foundation - Grades 3-5

Foundation Core B

Foundation fluency with graphs, sequences, compound measures and shape.

22 questions - 60 marks

Open paperDownload PDF

Foundation - Grades 4-5

Foundation Stretch A

Full Foundation stretch paper with multi-step algebra and geometry.

32 questions - 80 marks

Open paperDownload PDF

Foundation - Grades 4-5

Foundation Stretch B

Foundation crossover practice using the full bank of accessible topics.

32 questions - 80 marks

Open paperDownload PDF

Higher - Grades 4-6

Higher Core A

Higher tier fundamentals, including crossover algebra and geometry.

16 questions - 60 marks

Open paperDownload PDF

Higher - Grades 4-6

Higher Core B

Higher mini test with proportion, functions, angles and data.

22 questions - 60 marks

Open paperDownload PDF

Higher - Grades 6-7

Higher Secure A

A secure Higher paper with quadratics, surds, trigonometry and proof.

26 questions - 80 marks

Open paperDownload PDF

Higher - Grades 6-7

Higher Secure B

A second secure Higher paper for mixed revision and timed practice.

27 questions - 80 marks

Open paperDownload PDF

Higher - Grades 7-9

Higher Stretch A

Demanding Higher practice across algebra, geometry and probability.

32 questions - 100 marks

Open paperDownload PDF

Higher - Grades 7-9

Higher Stretch B

A second demanding Higher paper for late-stage exam readiness.

32 questions - 100 marks

Open paperDownload PDF

Papers scoped to what has been taught

The papers above are scoped by grade band. These are scoped by teaching point instead: each one leaves out content a student at that stage has not met yet, so a mock in the middle of the course tests what has actually been covered.

These bands are a typical teaching order, not a syllabus rule. No exam board defines what belongs to Year 10, and schools sequence the course differently. Check the split against your own scheme of work before using it to decide what a class has covered. Unlike an AS/A2 boundary, no exam board defines what counts as "Year 10 content" - this is a scheme-of-work convention that genuinely varies between centres, and even between classes in the same school, since some schools spiral every strand across both years instead of sequencing it linearly. I'm least confident about statistics-probability, which plenty of schools start well before Year 11 even though I've treated it here as a Year-11 completion, and about area-volume and graphs, where I've assumed the straightforward early content rather than the harder compound-shape or non-linear-graph work some schools push later. Treat this as an overridable default a tutor can adjust for their own scheme, not a fact about the specification itself.

Year 10

Foundation - Year 10

Year 10 Paper 1: Number and Algebra

Covers number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, and linear algebra.

14 questions - 40 marks

Open paperDownload PDF

Foundation - Year 10

Year 10 Paper 2: Graphs and Sequences

Covers linear algebra, graphs and coordinates, sequences, number and calculation, ratio and proportion, and angles and geometrical reasoning.

21 questions - 60 marks

Open paperDownload PDF

Foundation - Year 10

Year 10 Paper 3: Shape and Measures

Covers area, volume and measures, angles and geometrical reasoning, fractions, decimals and percentages, indices and standard form, graphs and coordinates, ratio and proportion, and sequences.

23 questions - 60 marks

Open paperDownload PDF

Higher - Year 10

Year 10 Paper 4: Ratio and Geometry

Covers linear algebra, ratio and proportion, indices and standard form, graphs and coordinates, angles and geometrical reasoning, and area, volume and measures.

20 questions - 60 marks

Open paperDownload PDF

Higher - Year 10

Year 10 Paper 5: Number and Shape

Covers number and calculation, fractions, decimals and percentages, sequences, indices and standard form, graphs and coordinates, angles and geometrical reasoning, and area, volume and measures.

23 questions - 60 marks

Open paperDownload PDF

Higher - Year 10

Year 10 Paper 6: Full Year 10 Review

Covers number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, and angles and geometrical reasoning.

24 questions - 80 marks

Open paperDownload PDF

Foundation - Year 10 - Edexcel-style

Edexcel-Style Year 10 Foundation Paper 1

An Edexcel-style Year 10 Foundation Paper 1: 80 marks, 90 minutes, non-calculator, matching Edexcel 1MA1's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

38 questions - 80 marks - non-calculator

Open paperDownload PDF

Foundation - Year 10 - Edexcel-style

Edexcel-Style Year 10 Foundation Paper 2

An Edexcel-style Year 10 Foundation Paper 2: 80 marks, 90 minutes, calculator, matching Edexcel 1MA1's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

31 questions - 80 marks - calculator allowed

Open paperDownload PDF

Foundation - Year 10 - Edexcel-style

Edexcel-Style Year 10 Foundation Paper 3

An Edexcel-style Year 10 Foundation Paper 3: 80 marks, 90 minutes, calculator, matching Edexcel 1MA1's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

33 questions - 80 marks - calculator allowed

Open paperDownload PDF

Higher - Year 10 - Edexcel-style

Edexcel-Style Year 10 Higher Paper 1

An Edexcel-style Year 10 Higher Paper 1: 80 marks, 90 minutes, non-calculator, matching Edexcel 1MA1's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

28 questions - 80 marks - non-calculator

Open paperDownload PDF

Higher - Year 10 - Edexcel-style

Edexcel-Style Year 10 Higher Paper 2

An Edexcel-style Year 10 Higher Paper 2: 80 marks, 90 minutes, calculator, matching Edexcel 1MA1's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

30 questions - 80 marks - calculator allowed

Open paperDownload PDF

Higher - Year 10 - Edexcel-style

Edexcel-Style Year 10 Higher Paper 3

An Edexcel-style Year 10 Higher Paper 3: 80 marks, 90 minutes, calculator, matching Edexcel 1MA1's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

27 questions - 80 marks - calculator allowed

Open paperDownload PDF

Foundation - Year 10 - AQA-style

AQA-Style Year 10 Foundation Paper 1

An AQA-style Year 10 Foundation Paper 1: 80 marks, 90 minutes, non-calculator, matching AQA 8300's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

35 questions - 80 marks - non-calculator

Open paperDownload PDF

Foundation - Year 10 - AQA-style

AQA-Style Year 10 Foundation Paper 2

An AQA-style Year 10 Foundation Paper 2: 80 marks, 90 minutes, calculator, matching AQA 8300's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

37 questions - 80 marks - calculator allowed

Open paperDownload PDF

Foundation - Year 10 - AQA-style

AQA-Style Year 10 Foundation Paper 3

An AQA-style Year 10 Foundation Paper 3: 80 marks, 90 minutes, calculator, matching AQA 8300's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

34 questions - 80 marks - calculator allowed

Open paperDownload PDF

Higher - Year 10 - AQA-style

AQA-Style Year 10 Higher Paper 1

An AQA-style Year 10 Higher Paper 1: 80 marks, 90 minutes, non-calculator, matching AQA 8300's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

30 questions - 80 marks - non-calculator

Open paperDownload PDF

Higher - Year 10 - AQA-style

AQA-Style Year 10 Higher Paper 2

An AQA-style Year 10 Higher Paper 2: 80 marks, 90 minutes, calculator, matching AQA 8300's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

27 questions - 80 marks - calculator allowed

Open paperDownload PDF

Higher - Year 10 - AQA-style

AQA-Style Year 10 Higher Paper 3

An AQA-style Year 10 Higher Paper 3: 80 marks, 90 minutes, calculator, matching AQA 8300's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

28 questions - 80 marks - calculator allowed

Open paperDownload PDF

Foundation - Year 10 - OCR-style

OCR-Style Year 10 Foundation Paper 1

An OCR-style Year 10 Foundation Paper 1: 100 marks, 90 minutes, calculator, matching OCR J560's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

45 questions - 100 marks - calculator allowed

Open paperDownload PDF

Foundation - Year 10 - OCR-style

OCR-Style Year 10 Foundation Paper 2

An OCR-style Year 10 Foundation Paper 2: 100 marks, 90 minutes, non-calculator, matching OCR J560's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures. OCR's non-calculator paper is the middle paper of a sitting rather than the first, verified against OCR's own published question papers.

41 questions - 100 marks - non-calculator

Open paperDownload PDF

Foundation - Year 10 - OCR-style

OCR-Style Year 10 Foundation Paper 3

An OCR-style Year 10 Foundation Paper 3: 100 marks, 90 minutes, calculator, matching OCR J560's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

43 questions - 100 marks - calculator allowed

Open paperDownload PDF

Higher - Year 10 - OCR-style

OCR-Style Year 10 Higher Paper 1

An OCR-style Year 10 Higher Paper 1: 100 marks, 90 minutes, calculator, matching OCR J560's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

40 questions - 100 marks - calculator allowed

Open paperDownload PDF

Higher - Year 10 - OCR-style

OCR-Style Year 10 Higher Paper 2

An OCR-style Year 10 Higher Paper 2: 100 marks, 90 minutes, non-calculator, matching OCR J560's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures. OCR's non-calculator paper is the middle paper of a sitting rather than the first, verified against OCR's own published question papers.

41 questions - 100 marks - non-calculator

Open paperDownload PDF

Higher - Year 10 - OCR-style

OCR-Style Year 10 Higher Paper 3

An OCR-style Year 10 Higher Paper 3: 100 marks, 90 minutes, calculator, matching OCR J560's published paper format. Covers the same nine Year 10 topics as the board-agnostic set: number and calculation, fractions, decimals and percentages, ratio and proportion, indices and standard form, linear algebra, graphs and coordinates, sequences, angles and geometrical reasoning, and area, volume and measures.

38 questions - 100 marks - calculator allowed

Open paperDownload PDF

Year 11

Foundation - Year 11

Year 11 Paper 1: Number and Data

Covers number and calculation, fractions, decimals and percentages, ratio and proportion, linear algebra, and statistics and probability.

21 questions - 40 marks

Open paperDownload PDF

Foundation - Year 11

Year 11 Paper 2: Graphs and Shape

Covers indices and standard form, graphs and coordinates, sequences, area, volume and measures, angles and geometrical reasoning, and ratio and proportion.

24 questions - 60 marks

Open paperDownload PDF

Foundation - Year 11

Year 11 Paper 3: Mixed Topic Review

Covers area, volume and measures, angles and geometrical reasoning, fractions, decimals and percentages, number and calculation, graphs and coordinates, quadratics, statistics and probability, and Pythagoras' theorem and trigonometry.

30 questions - 60 marks

Open paperDownload PDF

Higher - Year 11

Year 11 Paper 4: Algebra and Trigonometry

Covers linear algebra, quadratics, graphs and coordinates, sequences, Pythagoras' theorem and trigonometry, and statistics and probability.

25 questions - 60 marks

Open paperDownload PDF

Higher - Year 11

Year 11 Paper 5: Quadratics and Trigonometry

Covers number and calculation, ratio and proportion, indices and standard form, quadratics, angles and geometrical reasoning, area, volume and measures, and Pythagoras' theorem and trigonometry.

20 questions - 60 marks

Open paperDownload PDF

Higher - Year 11

Year 11 Paper 6: Full Year 11 Review

Covers fractions, decimals and percentages, ratio and proportion, linear algebra, quadratics, graphs and coordinates, sequences, Pythagoras' theorem and trigonometry, and statistics and probability.

27 questions - 80 marks

Open paperDownload PDF

Exam-structure papers

Two complete sets, each with a Foundation and a Higher paper for every one of the three papers a real sitting has. Every Paper 1 is assembled from questions authored calculator-free, so it is genuinely a non-calculator paper rather than one only labelled as such.

Set A

Foundation - Paper 1

Exam Structure Set A: Foundation Paper 1

An 80-mark, 90-minute non-calculator paper using the Edexcel 1MA1 paper structure as its reference.

33 questions - 80 marks

Open paperDownload PDF

Foundation - Paper 2

Exam Structure Set A: Foundation Paper 2

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

32 questions - 80 marks

Open paperDownload PDF

Foundation - Paper 3

Exam Structure Set A: Foundation Paper 3

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

40 questions - 80 marks

Open paperDownload PDF

Higher - Paper 1

Exam Structure Set A: Higher Paper 1

An 80-mark, 90-minute non-calculator paper using the Edexcel 1MA1 paper structure as its reference.

36 questions - 80 marks

Open paperDownload PDF

Higher - Paper 2

Exam Structure Set A: Higher Paper 2

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

28 questions - 80 marks

Open paperDownload PDF

Higher - Paper 3

Exam Structure Set A: Higher Paper 3

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

25 questions - 80 marks

Open paperDownload PDF

Set B

Foundation - Paper 1

Exam Structure Set B: Foundation Paper 1

An 80-mark, 90-minute non-calculator paper using the Edexcel 1MA1 paper structure as its reference.

35 questions - 80 marks

Open paperDownload PDF

Foundation - Paper 2

Exam Structure Set B: Foundation Paper 2

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

32 questions - 80 marks

Open paperDownload PDF

Foundation - Paper 3

Exam Structure Set B: Foundation Paper 3

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

29 questions - 80 marks

Open paperDownload PDF

Higher - Paper 1

Exam Structure Set B: Higher Paper 1

An 80-mark, 90-minute non-calculator paper using the Edexcel 1MA1 paper structure as its reference.

28 questions - 80 marks

Open paperDownload PDF

Higher - Paper 2

Exam Structure Set B: Higher Paper 2

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

27 questions - 80 marks

Open paperDownload PDF

Higher - Paper 3

Exam Structure Set B: Higher Paper 3

An 80-mark, 90-minute calculator paper using the Edexcel 1MA1 paper structure as its reference.

27 questions - 80 marks

Open paperDownload PDF

Graded mini tests

Shorter tests built to a real grade band: every question in each one carries an authored grade inside the band printed on it, so the grade claim is mechanically true of what a student sits.

Foundation

Foundation - Grade 3 A

Foundation Grade 3 Mini Test A

A 45-minute, 40-mark test using only authored grade 3 questions, focused on number, fractions, ratio, quadratics and geometry.

16 questions - 40 marks

Open testDownload PDF

Foundation - Grade 3 B

Foundation Grade 3 Mini Test B

A 45-minute, 40-mark test using only authored grade 3 questions, focused on algebra, graphs, measures, trigonometry and statistics.

16 questions - 40 marks

Open testDownload PDF

Foundation - Grade 4 A

Foundation Grade 4 Mini Test A

A 45-minute, 40-mark test using only authored grade 4 questions, focused on number, proportional reasoning and algebra.

13 questions - 40 marks

Open testDownload PDF

Foundation - Grade 4 B

Foundation Grade 4 Mini Test B

A 45-minute, 40-mark test using only authored grade 4 questions, focused on sequences, geometry, measures, trigonometry and statistics.

15 questions - 40 marks

Open testDownload PDF

Foundation - Grade 5 A

Foundation Grade 5 Mini Test A

A 45-minute, 40-mark test using only authored grade 5 questions, focused on ratio, indices, algebra, graphs and quadratics.

12 questions - 40 marks

Open testDownload PDF

Foundation - Grade 5 B

Foundation Grade 5 Mini Test B

A 45-minute, 40-mark test using only authored grade 5 questions, focused on number, sequences, geometry, measures, trigonometry and statistics.

11 questions - 40 marks

Open testDownload PDF

Higher

Higher - Grades 4-5

Higher Grades 4-5 Mini Test

A 45-minute, 40-mark test using only authored grades 4-5 questions, focused on the full topic bank.

15 questions - 40 marks

Open testDownload PDF

Higher - Grades 5-6

Higher Grades 5-6 Mini Test

A 45-minute, 40-mark test using only authored grades 5-6 questions, focused on the full topic bank.

15 questions - 40 marks

Open testDownload PDF

Higher - Grades 6-7

Higher Grades 6-7 Mini Test

A 45-minute, 40-mark test using only authored grades 6-7 questions, focused on the full topic bank.

14 questions - 40 marks

Open testDownload PDF

Higher - Grades 7-9

Higher Grades 7-9 Mini Test

A 45-minute, 40-mark test using only authored grades 7-9 questions, focused on six topics with enough top-grade material for an exact test.

10 questions - 40 marks

Open testDownload PDF