OCR GCSE (9-1) Mathematics (J560) exam questions and past papers

Free OCR GCSE Maths past papers, with mark schemes and model answers for every paper.

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How to use the past papers

Sit each paper under timed conditions, then mark it yourself with the mark scheme. Compare your answers with our model answers to see exactly what a full-mark answer looks like, and note the questions where you lost marks so you know what to revise next.

OCR GCSE Maths revision by grade

Exam questions on every topic from Grade 1 to Grade 9, each with full model answers.

Grade 1

1.1 Addition and Subtraction Questions Model answers

1.2 Multiplication and Division Questions Model answers

1.3 Time Questions Model answers

1.4 Metric Conversions Questions Model answers

1.5 Writing, Simplifying and Ordering Fractions Questions Model answers

1.6 Place Value Questions Model answers

1.7 Rounding Questions Model answers

1.8 Negative Numbers Questions Model answers

1.9 Powers and Roots Questions Model answers

1.10 BIDMAS (Order of Operations) Questions Model answers

1.11 Factors, Multiples and Primes Questions Model answers

1.12 Coordinates Questions Model answers

1.13 Pictograms Questions Model answers

Grade 2

2.1 Calculation Problems Questions Model answers

2.2 Using a Calculator Questions Model answers

2.3 Systematic Listing Questions Model answers

2.4 Fractions of an Amount Questions Model answers

2.5 Fractions, Decimals and Percentages Questions Model answers

2.6 Simplifying Algebra Questions Model answers

2.7 Writing an Expression Questions Model answers

2.8 Function Machines Questions Model answers

2.9 Solving One Step Equations Questions Model answers

2.10 Angles Questions Model answers

2.11 Area and Perimeter Questions Model answers

2.12 Probability Questions Model answers

2.13 Frequency Polygons Questions Model answers

2.14 Averages Questions Model answers

2.15 Bar Charts Questions Model answers

2.16 Stem and Leaf Diagrams Questions Model answers

2.17 Pie Charts Questions Model answers

Grade 3

3.1 Error Intervals Questions Model answers

3.2 Fractions Questions Model answers

3.3 Estimating Questions Model answers

3.4 Writing and Simplifying Ratio Questions Model answers

3.5 Sharing in a Ratio Questions Model answers

3.6 Proportion Questions Model answers

3.7 Percentages Questions Model answers

3.8 Percentage Change Questions Model answers

3.9 Exchange Rates Questions Model answers

3.10 Conversions and Units Questions Model answers

3.11 Scale Drawings Questions Model answers

3.12 Best Buys Questions Model answers

3.13 Substitution Questions Model answers

3.14 Solving Equations Questions Model answers

3.15 Drawing Linear Graphs Questions Model answers

3.16 Area and Circumference of Circles Questions Model answers

3.17 Transformations Questions Model answers

3.18 Reflections Questions Model answers

3.19 Rotations Questions Model answers

3.20 Translations Questions Model answers

3.21 Enlargements Questions Model answers

3.22 Area of Compound Shapes Questions Model answers

3.23 Frequency Trees Questions Model answers

3.24 Two Way Tables Questions Model answers

Grade 4

4.1 Compound Interest and Depreciation Questions Model answers

4.2 Indices Questions Model answers

4.3 Prime Factors, HCF and LCM Questions Model answers

4.4 Real Life and Distance Time Graphs Questions Model answers

4.5 Inequalities Questions Model answers

4.6 Forming and Solving Equations Questions Model answers

4.7 Sequences (Nth Term) Questions Model answers

4.8 Expanding and Factorising Questions Model answers

4.9 Pythagoras Questions Model answers

4.10 Angles in Parallel Lines Questions Model answers

4.11 Angles in Polygons Questions Model answers

4.12 Surface Area Questions Model answers

4.13 Volume of a Prism Questions Model answers

4.14 Cylinders Questions Model answers

4.15 Loci and Construction Questions Model answers

4.16 Bearings Questions Model answers

4.17 Plans and Elevations Questions Model answers

4.18 Averages from Frequency Tables Questions Model answers

4.19 Probability and Relative Frequency Questions Model answers

4.20 Scatter Graphs Questions Model answers

Grade 5

5.1 Writing a Ratio as a Fraction or Linear Function Questions Model answers

5.2 Ratio Problems Questions Model answers

5.3 Direct and Inverse Proportion Questions Model answers

5.4 Reverse Percentages Questions Model answers

5.5 Standard Form Questions Model answers

5.6 Speed and Density Questions Model answers

5.7 Changing the Subject of a Formula Questions Model answers

5.8 Expanding and Factorising Quadratics Questions Model answers

5.9 Solving Quadratics Questions Model answers

5.10 Drawing Quadratic Graphs Questions Model answers

5.11 Cubic and Reciprocal Graphs Questions Model answers

5.12 Simultaneous Equations Questions Model answers

5.13 Solving Simultaneous Equations Graphically Questions Model answers

5.14 Gradient of a Line Questions Model answers

5.15 Equation of a Line Questions Model answers

5.16 Spheres and Cones Questions Model answers

5.17 Sector Areas and Arc Lengths Questions Model answers

5.18 Similar Shapes (Lengths) Questions Model answers

5.19 SOHCAHTOA (Trigonometry) Questions Model answers

5.20 Exact Trig Values Questions Model answers

5.21 Vectors Questions Model answers

5.22 Probability Trees Questions Model answers

5.23 Venn Diagrams Questions Model answers

Grade 6

6.1 Recurring Decimals to Fractions Questions Model answers

6.2 Fractional and Negative Indices Questions Model answers

6.3 The Product Rule for Counting Questions Model answers

6.4 Repeated Percentage Change Questions Model answers

6.5 Expanding Triple Brackets Questions Model answers

6.6 Parallel and Perpendicular Lines Questions Model answers

6.7 Inequalities on Graphs Questions Model answers

6.8 Similar Shapes (Area and Volume) Questions Model answers

6.9 Enlarging with Negative Scale Factors Questions Model answers

6.10 Circle Theorems Questions Model answers

6.11 Cumulative Frequency Questions Model answers

6.12 Box Plots Questions Model answers

6.13 Capture Recapture Questions Model answers

Grade 7

7.1 Surds Questions Model answers

7.2 Bounds Questions Model answers

7.3 Direct and Inverse Proportion Questions Model answers

7.4 Quadratic Formula Questions Model answers

7.5 Factorising Harder Quadratics Questions Model answers

7.6 Algebraic Fractions Questions Model answers

7.7 Rearranging Harder Formulae Questions Model answers

7.8 Trigonometric and Exponential Graphs Questions Model answers

7.9 Inverse and Composite Functions Questions Model answers

7.10 Iteration Questions Model answers

7.11 Area of Any Triangle Questions Model answers

7.12 The Sine Rule Questions Model answers

7.13 The Cosine Rule Questions Model answers

7.14 Congruent Triangles Questions Model answers

7.15 3D Pythagoras and Trigonometry Questions Model answers

7.16 Histograms Questions Model answers

7.17 Conditional Probability Questions Model answers

Grade 8/9

8.1 Quadratic Simultaneous Equations Questions Model answers

8.2 Transforming Graphs y=f(x) Questions Model answers

8.3 Proof Questions Model answers

8.4 Completing the Square Questions Model answers

8.5 The Nth Term of a Quadratic Sequence Questions Model answers

8.6 Quadratic Inequalities Questions Model answers

8.7 Velocity Time Graphs Questions Model answers

8.8 Proof of the Circle Theorems Questions Model answers

8.9 Perpendicular Lines and the Equation of a Tangent Questions Model answers

8.10 Vectors Proof Questions Questions Model answers

8.11 Probability Equation Questions Questions Model answers

Grade 9 Tough Papers

Sit them timed, mark with the mark scheme, then compare with our model answers.

Grade 9 Tough Paper 1: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Model answers

Grade 9 Tough Paper 2: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Model answers

Foundation tier papers

Sit them timed, mark with the mark scheme, then compare with our model answers.

June 2025 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2025 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2025 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2024 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2024 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2024 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2024 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2024 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2024 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2023 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2023 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2023 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2023 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2023 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2023 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2022 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2022 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2022 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2022 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2022 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2022 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2021 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2021 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2021 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2020 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2020 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2020 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2019 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2019 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2019 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2019 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2019 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2019 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2018 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2018 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2018 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2018 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2018 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2018 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2017 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2017 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2017 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2017 Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2017 Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2017 Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

Specimen Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme

Specimen Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme

Specimen Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme

Higher tier papers

Sit them timed, mark with the mark scheme, then compare with our model answers.

June 2025 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2025 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2025 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2024 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2024 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2024 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2024 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2024 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2024 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2023 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2023 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2023 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2023 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2023 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2023 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2022 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2022 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2022 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2022 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2022 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2022 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2021 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2021 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2021 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2020 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2020 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2020 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2019 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2019 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2019 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2019 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2019 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2019 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2018 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2018 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2018 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2018 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2018 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2018 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2017 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2017 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

November 2017 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2017 Paper 4: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2017 Paper 5: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

June 2017 Paper 6: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme Model answers

Specimen Paper 1: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme

Specimen Paper 2: Non-calculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme

Specimen Paper 3: CalculatorOCR GCSE (9-1) Mathematics (J560) Question paper Mark scheme

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