OCRA-Level131 resources

OCR A-Level Mathematics B (MEI) Past Papers & Mark Schemes

Free OCR A-Level Maths B MEI (H640) past papers and mark schemes. Includes the unique Comprehension paper with real-world mathematical applications. All sessions 2018–2024. 82 resources.

📅June 2018 – June 2024📄131 resources available✅Free to download

Papers Overview Paper Structure Key Info Key Topics Command Words Grade Boundaries Revision Tips Try AI Tutor ✦

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131 of 131 resources — page 1 of 6

June 2023

3 files

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension answer book

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June 2022

4 files

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension answer book

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Mathematics B (MEI) – Question paper – Pure Mathematics and Mechanics answer book

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November 2021

5 files

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Mathematics B (MEI) – Question paper – Pure mathematics and statistics answer book

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension answer book

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics answer book

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November 2020

5 files

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Mathematics B (MEI) – Question paper – Pure mathematics and statistics answer book

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension answer book

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics answer book

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June 2019

5 files

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension – Answer book

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension – Insert

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics – Answer book

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics – Post exam correction

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June 2018

3 files

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Mathematics B (MEI) – Question paper – Pure mathematics and statistics answer booklet

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Mathematics B (MEI) – Question paper – Pure mathematics and mechanics

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Mathematics B (MEI) – Question paper – Pure mathematics and comprehension answer booklet

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The Comprehension Paper: What Makes OCR MEI Mathematics Unique Among A-Level Specs

OCR Mathematics B (MEI) — specification H640 — shares the same mathematical content as Mathematics A but examines it through a distinctive lens. The standout feature is Paper 3: Pure Mathematics and Comprehension, which includes an extended mathematical article that students must read, interpret, and respond to. No other A-Level mathematics specification in England includes this assessment format. Paper 1: Pure Mathematics and Mechanics (H640/01, 2 hours, 100 marks) tests the full range of pure mathematics alongside mechanics content. The pure elements cover proof, algebra, coordinate geometry, calculus (including parametric equations), sequences and series, and trigonometry. The mechanics content covers kinematics (using calculus for variable acceleration), Newton's laws, connected particles, and moments. Paper 2: Pure Mathematics and Statistics (H640/02, 2 hours, 100 marks) combines further pure content with statistics. The statistics section covers sampling, data presentation, probability (including conditional probability), discrete and continuous distributions (binomial and normal), and hypothesis testing. Paper 3: Pure Mathematics and Comprehension (H640/03, 2 hours, 75 marks) is the paper that defines MEI. It contains a Section A of pure mathematics questions and a Section B built around a mathematical comprehension article — typically 4-6 pages of text describing a real-world application of mathematics (cryptography, population modelling, geometric design, or similar). Students must demonstrate understanding of the mathematics in the article, extend the arguments presented, and apply the techniques to new problems. Paper 1 does not permit calculators. Papers 2 and 3 do. The total mark is 275 (100 + 100 + 75), with Paper 3's lower mark total reflecting its shorter duration.

Exam Paper Structure

Paper 1No calculator

Pure Mathematics and Mechanics

⏱ 2 hours🎯 100 marks📊 36% of grade

ProofAlgebra and functionsCoordinate geometry and parametric equationsCalculus (differentiation and integration)TrigonometrySequences and seriesKinematics (variable acceleration with calculus)Forces, Newton's laws, connected particles, moments

Paper 2Calculator ✓

Pure Mathematics and Statistics

⏱ 2 hours🎯 100 marks📊 36% of grade

Vectors (2D and 3D)Numerical methodsFurther calculusSampling and data presentationProbability and distributions (binomial, normal)Hypothesis testing

Paper 3Calculator ✓

Pure Mathematics and Comprehension

⏱ 2 hours🎯 75 marks📊 28% of grade

Section A: Pure mathematics questionsSection B: Mathematical comprehension articleInterpreting and extending unfamiliar mathematicsApplying core techniques to novel contexts

Key Information

Exam Board	OCR
Specification Code	H640
Qualification	A-Level
Grading Scale	A*–E
Assessment Type	3 written papers (pure/mechanics + pure/stats + pure/comprehension)
Number Of Papers	3
Exam Duration	Papers 1 & 2: 2 hours each. Paper 3: 2 hours
Total Marks	275 (100 + 100 + 75)
Calculator Status	Paper 1: no calculator. Papers 2 & 3: calculator allowed
Available Sessions	June 2018 – June 2024
Total Resources	82

Key Topics in Mathematics B (MEI)

Topics you need to know

Proof techniques (contradiction, exhaustion, deduction)Algebra (partial fractions, modulus function, inequalities)Coordinate geometry (parametric equations, polar form)Calculus (integration techniques, differential equations)Trigonometric modelling (R-formula, compound angles)Statistical distributions and hypothesis testingMechanics (kinematics, dynamics, moments)Mathematical comprehension and communication

Exam Command Words

Command word	What the examiner expects
Interpret	Explain the mathematical or real-world meaning of a result, value, or relationship
Find	Obtain a numerical answer or algebraic expression through calculation
Show that	Demonstrate that a given result follows logically from the information provided
Explain	Give a mathematical reason or justification in clear, precise language
Verify	Confirm a given result by substitution, calculation, or checking conditions
Hence	Use the result from the previous part as the starting point for your answer
Comment on	Make a relevant observation about a mathematical result or model, often relating to its real-world applicability

Typical Grade Boundaries

Grade	Approximate mark needed
A*	73–85%
A	63–72%
B	53–62%
C	43–52%
D	34–42%
E	25–33%

⚠️ Typical boundaries across three papers (275 total marks). Actual boundaries vary by series — check OCR's website.

Preparing for the Comprehension Article and Balancing Three Distinct Paper Styles

The comprehension paper cannot be revised for in the conventional sense — you cannot predict the article topic. What you can develop is the skill of reading dense mathematical prose, identifying the key definitions and results, and applying them under time pressure. Practise with every past comprehension insert available, and supplement with mathematical articles from sources like Plus Magazine or NRICH to build reading fluency. When tackling the comprehension questions, underline or annotate definitions as you read the article. Many students lose marks because they use a concept inconsistently with how the article defines it. The article may introduce notation or terminology that differs from what you learned in class — the marks go to students who adapt to the article's conventions rather than forcing their own. The split between Papers 1 and 2 mirrors Mathematics A, but the weighting differs because Paper 3 draws marks away. This means each topic potentially carries slightly less weight per mark, but the range of content you must prepare remains identical. Do not under-revise mechanics because it shares Paper 1 with pure mathematics — the mechanics questions in MEI papers are just as demanding as those in Mathematics A. MEI's approach to statistics emphasises interpretation over calculation. While Mathematics A statistics questions may ask you to compute a test statistic, MEI is more likely to ask you to interpret the result in context or critique a statistical claim. Practise writing clear, contextualised conclusions — 'There is sufficient evidence at the 5% significance level to suggest that the new fertiliser increases yield' scores higher than simply stating 'Reject H₀'.

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OCR A-Level Mathematics B (MEI) Past Papers & Mark Schemes

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June 2023

June 2022

November 2021

November 2020

June 2019

June 2018

The Comprehension Paper: What Makes OCR MEI Mathematics Unique Among A-Level Specs

Exam Paper Structure

Key Information

Key Topics in Mathematics B (MEI)

Exam Command Words

Typical Grade Boundaries

Preparing for the Comprehension Article and Balancing Three Distinct Paper Styles

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