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OCR GCSE Mathematics Past Papers & Mark Schemes

Download free OCR GCSE Mathematics past papers and mark schemes. 249 resources covering 2017 – 2025. Free PDF downloads.

📅2017 – 2025📄249 resources available✅Free to download

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249 of 249 resources — page 1 of 3

June 2023

11 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 5 formulae sheet

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Mathematics (9-1) – Question paper – Paper 6 formulae sheet

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Question paper – Paper 2 formulae sheet

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Mathematics (9-1) – Question paper – Paper 3 formulae sheet

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Mathematics (9-1) – Question paper – Paper 4 formulae sheet

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 1

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November 2023

12 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 5 formulae sheet

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Mathematics (9-1) – Question paper – Paper 6 formulae sheet

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Question paper – Paper 1 formulae sheet

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Mathematics (9-1) – Question paper – Paper 2 formulae sheet

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Mathematics (9-1) – Question paper – Paper 3 formulae sheet

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Mathematics (9-1) – Question paper – Paper 4 formulae sheet

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Mathematics (9-1) – Question paper – Paper 1

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June 2022

12 files

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Mathematics (9-1) – Question paper – Paper 5 formulae sheet

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Mathematics (9-1) – Question paper – Paper 6 formulae sheet

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2 formulae sheet

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Mathematics (9-1) – Question paper – Paper 3 formulae sheet

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Mathematics (9-1) – Question paper – Paper 4 formulae sheet

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Modified papers

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Mathematics (9-1) – Question paper – Paper 1 formulae sheet

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November 2022

13 files

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Mathematics (9-1) – Question paper – Paper 5 formulae sheet

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Mathematics (9-1) – Question paper – Paper 6 formulae sheet

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2 formulae sheet

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Mathematics (9-1) – Question paper – Paper 3 formulae sheet

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Mathematics (9-1) – Question paper – Paper 4 formulae sheet

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Question paper – Paper 1

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Mathematics (9-1) – Modified papers

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Mathematics (9-1) – Question paper – Paper 1 formulae sheet

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November 2021

6 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Modified papers

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November 2020

7 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Modified papers

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Mathematics (9-1) – Mark scheme – Paper 6

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June 2019

7 files

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Mathematics (9-1) – Summer highlights report

Examiner Report

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Mark scheme – Paper 6

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November 2019

7 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Modified papers

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Mathematics (9-1) – Mark scheme – Paper 6

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June 2018

7 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Mark scheme – Paper 6

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Mathematics (9-1) – Mark scheme – Paper 5

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November 2018

6 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Mark scheme – Paper 6

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June 2017

6 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2 erratum

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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November 2017

6 files

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Mathematics (9-1) – Question paper – Paper 5

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Mathematics (9-1) – Question paper – Paper 6

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Mathematics (9-1) – Question paper – Paper 2

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Mathematics (9-1) – Question paper – Paper 3

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Mathematics (9-1) – Question paper – Paper 4

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Mathematics (9-1) – Mark scheme – Paper 5

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About OCR GCSE Mathematics

OCR GCSE Mathematics (specification J560) is the second-largest UK GCSE Maths specification by entry. It is assessed via three 1-hour-30-minute papers each worth 100 marks, with Paper 1 being non-calculator and Papers 2 and 3 being calculator. The specification is graded 9-1 with both Foundation (1-5) and Higher (4-9) tiers available. Content is grouped into six areas: number, algebra, ratio proportion and rates of change, geometry and measures, probability, and statistics. Higher tier extends into algebraic proof, vectors, advanced trigonometry (sine and cosine rules, area of a triangle = ½ab sin C), and circle theorems. Functional and problem-solving questions are interleaved throughout, requiring students to apply mathematical skills to unfamiliar real-world contexts. The mark allocation is roughly 40% AO1 (recall and use), 30% AO2 (reasoning and communicating), 30% AO3 (problem-solving).

Exam Paper Structure

Paper 1

First exam paper

⏱ 1h 30min🎯 80 marks📊 50% of grade

Paper 2

Second exam paper

⏱ 1h 30min🎯 80 marks📊 50% of grade

Key Information

Exam Board	OCR
Specification Code	J560
Qualification	GCSE
Grading Scale	9–1
Assessment Type	2
Tiers	Available in Foundation (grades 1–5) and Higher (grades 4–9) tiers
Number Of Papers	2
Exam Duration	1 hour 30 minutes per paper
Total Marks	160–180
Available Sessions	2017 – 2025
Total Resources	249

Key Topics in Mathematics

Topics you need to know

Number (incl. surds, standard form)Algebra (incl. proof, functions, iteration)Ratio, proportion and rates of changeGeometry and measures (incl. circle theorems)Probability and statisticsProblem-solving and reasoning

Exam Command Words

Command word	What the examiner expects
Work out	Calculate the answer, showing your method
Show that	Provide a clear sequence of steps that proves the stated result
Find	Determine a value — show working unless told otherwise
Solve	Find the value(s) of the unknown that satisfy the equation
Explain	Give reasons for your answer using mathematical justification
Prove	Construct a logical, fully justified argument that establishes the statement
Estimate	Use rounded values to obtain an approximate answer
Comment on	Make a relevant statement about a graph, value or context

Typical Grade Boundaries

Grade	Approximate mark needed
Grade 9	76–86%
Grade 8	63–75%
Grade 7	51–62%
Grade 6	43–50%
Grade 5	35–42%
Grade 4	27–34%

⚠️ Typical Higher tier boundaries across two papers. Actual boundaries vary by series — check the awarding body website.

How to Use OCR GCSE Mathematics Past Papers Effectively

Past-paper drill is more effective than topic-by-topic revision in the final 12 weeks. Set a target: complete four full past papers per week, marked yourself against the published mark scheme. Identify three repeated weak areas — typically among algebraic manipulation, ratio sharing, and vector geometry — and target those for an extra 30 minutes daily. For Higher tier, the 5–6 marks per paper on geometric proof distinguish 7–9 grades. Memorise circle theorems with mnemonic diagrams and the conditions under which each applies. The angle subtended at the centre is twice the angle at the circumference; the angle in a semicircle is 90°; opposite angles in a cyclic quadrilateral sum to 180°; the alternate-segment theorem. For problem-solving questions, the strongest tactic is to write down the data given before attempting the problem. Convert words to algebra slowly. Examiners report the most common error is misreading the question, not making algebraic mistakes. For non-calculator questions, drill standard form, fraction arithmetic, and surds (rationalising the denominator). For calculator questions, ensure your calculator is set to degrees not radians, and that you know the EXP key vs the ×10˿ key syntax.

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OCR GCSE Mathematics Past Papers & Mark Schemes

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June 2023

November 2023

June 2022

November 2022

November 2021

November 2020

June 2019

November 2019

June 2018

November 2018

June 2017

November 2017

About OCR GCSE Mathematics

Exam Paper Structure

Key Information

Key Topics in Mathematics

Exam Command Words

Typical Grade Boundaries

How to Use OCR GCSE Mathematics Past Papers Effectively

More OCR GCSE Subjects

Gateway Science Suite

Twenty First Century Science Suite

Mathematics (9-1)

History

History B (Schools History Project) (9-1)

Physics

Chemistry

Geography

History A (Explaining the Modern World) (9-1)

Biology

Religious Studies (9-1)

Classical Greek (9-1)

Classical Civilisation (9-1)

Latin (9-1)

English Language (9-1)

English Language

Geography B (Geography for Enquiring Minds) (9-1)

Geography A (Geographical Themes) (9-1)

English Literature (9-1)

English Literature

Citizenship Studies (9-1)

Ancient History (9-1)

Physical Education (9-1)

Economics (9-1)

Business (9-1)

Business

Psychology (9-1)

Design and Technology (9-1)

Music (9-1)

Drama (9-1)

Drama

Food Preparation and Nutrition (9-1)

Computer Science (9-1)

Computer Science

Media Studies (9-1)

Art and Design (9-1)

Geography B (9-1)

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