OCRAS Level192 resources

OCR AS Level Further Mathematics B (MEI) Past Papers

Download OCR AS Level Further Mathematics B MEI (H635) past papers. Core Pure plus optional Mechanics, Statistics, Modelling with Algorithms or Numerical Methods. 24 resources.

📅June 2017 – present📄192 resources available✅Free to download

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

Download Past Papers

Type

Year

192 of 192 resources — page 1 of 2

June 2023

18 files

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure answer booklet

Question Paper

Download

📋

Further Mathematics B (MEI) – Modified papers

Modified Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure

Question Paper

Download

✅

Further Mathematics B (MEI) – Mark scheme – Numerical methods

Mark Scheme

Download

✅

Further Mathematics B (MEI) – Mark scheme – Core pure

Mark Scheme

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Modelling with algorithms

Examiner Report

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Numerical methods

Examiner Report

Download

📦

Further Mathematics B (MEI) – Formulae booklet

Additional Resources

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Core pure

Examiner Report

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

June 2022

20 files

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure answer booklet

Question Paper

Download

📋

Further Mathematics B (MEI) – Modified papers

Modified Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure

Question Paper

Download

✅

Further Mathematics B (MEI) – Mark scheme – Numerical methods

Mark Scheme

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Numerical methods

Examiner Report

Download

✅

Further Mathematics B (MEI) – Mark scheme – Core pure

Mark Scheme

Download

📦

Further Mathematics B (MEI) – Formulae booklet

Additional Resources

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Modelling with algorithms

Examiner Report

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Core pure

Examiner Report

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

November 2021

17 files

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure

Question Paper

Download

✅

Further Mathematics B (MEI) – Mark scheme – Modelling with algorithms

Mark Scheme

Download

✅

Further Mathematics B (MEI) – Mark scheme – Numerical methods

Mark Scheme

Download

✅

Further Mathematics B (MEI) – Mark scheme – Core pure

Mark Scheme

Download

📦

Further Mathematics B (MEI) – Formulae booklet

Additional Resources

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

November 2020

16 files

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure answer booklet

Question Paper

Download

📋

Further Mathematics B (MEI) – Modified papers

Modified Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure

Question Paper

Download

✅

Further Mathematics B (MEI) – Mark scheme – Modelling with algorithms

Mark Scheme

Download

✅

Further Mathematics B (MEI) – Mark scheme – Numerical methods

Mark Scheme

Download

✅

Further Mathematics B (MEI) – Mark scheme – Core pure

Mark Scheme

Download

📦

Further Mathematics B (MEI) – Formulae booklet

Additional Resources

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

June 2019

16 files

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Core pure

Question Paper

Download

📋

Further Mathematics B (MEI) – Modified papers

Modified Paper

Download

✅

Further Mathematics B (MEI) – Mark scheme – Numerical methods

Mark Scheme

Download

✅

Further Mathematics B (MEI) – Mark scheme – Core pure

Mark Scheme

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Numerical methods

Examiner Report

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Modelling with algorithms

Examiner Report

Download

📊

Further Mathematics B (MEI) – Examiners’ report – Core pure

Examiner Report

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b answer book

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer book

Question Paper

Download

June 2018

8 files

📄

Further Mathematics B (MEI) – Question paper – Statistics b answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics b

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods answer booklet

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods post-exam correction

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Statistics a

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Numerical methods

Question Paper

Download

📄

Further Mathematics B (MEI) – Question paper – Modelling with algorithms

Question Paper

Download

No date

5 files

📝

Further Mathematics B (MEI) – Numerical methods

Sample Assessment Materials

Download

📝

Further Mathematics B (MEI) – Modelling with algorithms

Sample Assessment Materials

Download

📝

Further Mathematics B (MEI) – Core pure

Sample Assessment Materials

Download

📝

Further Mathematics B (MEI) – Statistics a

Sample Assessment Materials

Download

📝

Further Mathematics B (MEI) – Statistics b

Sample Assessment Materials

Download

Core Pure Foundations and MEI's Distinctive Optional Further Maths Components

OCR AS Level Further Mathematics B (MEI) (H635) is developed with Mathematics in Education and Industry and follows MEI's characteristic approach of contextualising abstract mathematics within real-world applications. The qualification consists of Core Pure (compulsory) plus one optional minor paper chosen from Mechanics A, Statistics A, Modelling with Algorithms, or Numerical Methods. Core Pure (H635/01, 1 hour 30 minutes, 75 marks) develops the foundations of further mathematics: complex numbers (arithmetic in Cartesian form, finding square roots of complex numbers, the fundamental theorem of algebra), matrices (addition, multiplication, determinants, inverse matrices, and geometric transformations of the plane), further algebra (rational functions, partial fractions, the method of differences for summing series), proof by mathematical induction (for divisibility, matrix powers, and summation formulae), and further calculus (integration using standard forms, reduction formulae, arc length). The optional components each occupy 1 hour 15 minutes. Mechanics A extends AS Mechanics to cover variable acceleration, projectile motion with air resistance, circular motion, and work-energy methods. Statistics A covers the Poisson distribution, continuous random variables (probability density functions, cumulative distribution functions), and hypothesis testing for the Poisson mean. Modelling with Algorithms covers graph theory, minimum spanning trees, shortest paths (Dijkstra's algorithm), and critical path analysis — with a strong emphasis on applying algorithms step-by-step and tracing execution. Numerical Methods covers iterative roots-finding techniques, numerical integration (trapezium rule, Simpson's rule), and numerical differentiation, with all methods contextualised in modelling scenarios. MEI's emphasis on mathematical communication means extended questions ask students to interpret results and comment on the validity of mathematical models alongside performing calculations.

Exam Paper Structure

Core PureCalculator ✓

Core Pure Mathematics

⏱ 1 hour 30 minutes🎯 75 marks📊 50%% of grade

Complex numbersMatricesFurther algebra and proof by inductionFurther calculusRational functions and partial fractions

OptionCalculator ✓

Mechanics A / Statistics A / Modelling with Algorithms / Numerical Methods

⏱ 1 hour 15 minutes🎯 75 marks📊 50%% of grade

Variable acceleration and circular motion (Mechanics A)Poisson distribution and continuous random variables (Statistics A)Graph theory and critical path analysis (Modelling with Algorithms)Iterative methods and numerical integration (Numerical Methods)

Key Information

Exam Board	OCR (MEI)
Specification Code	H635
Qualification	AS Level
Grading Scale	A–E
Assessment Type	Core Pure paper (1h 30m) + optional minor paper (1h 15m)
Number Of Papers	2
Exam Duration	Core Pure: 1h 30m; Option: 1h 15m
Total Marks	150
Calculator Status	Calculator allowed in all papers
Available Sessions	June 2017 – present
Total Resources	24

Key Topics in Further Mathematics B (MEI)

Topics you need to know

Complex numbers in Cartesian formMatrix algebra and transformationsProof by induction for sequences and divisibilityMethod of differences and telescoping seriesPoisson distributionDijkstra's shortest path algorithmTrapezium rule and Simpson's rule

Exam Command Words

Command word	What the examiner expects
Show that	Derive the result fully — all steps must be shown
Trace	Apply the algorithm step-by-step, recording all intermediate values
Comment	Interpret a mathematical result in context or evaluate accuracy
Hence or otherwise	A previous result may be used, but an alternative approach is also acceptable

Typical Grade Boundaries

Grade	Approximate mark needed
A	65–80%
B	53–64%
C	41–52%
D	29–40%
E	18–28%

⚠️ OCR AS Further Mathematics B (MEI) grade boundaries vary by session and optional component chosen.

Partial Fractions, Induction, and Algorithmic Tracing in MEI Further Maths

The method of differences for summing series is a distinctive MEI Core Pure topic. The technique expresses the general term f(r) as the difference g(r) − g(r+1), then telescopes the sum so that most terms cancel and only the first and last remain. Practise decomposing terms using partial fractions first, since many telescoping sums require partial fraction decomposition as an initial step. Once the telescoping structure is identified, write out the first three and last two terms explicitly to make the cancellation visible before simplifying. For the Modelling with Algorithms option, marks are awarded for showing algorithm execution step-by-step, not just stating the final answer. In Dijkstra's shortest path algorithm, for example, you must show the order in which nodes are permanently labelled, record provisional distances at each iteration, and clearly identify the shortest path at the end. Practise tracing standard algorithms on worked examples until the steps are automatic — many marks are available purely for correct execution, independent of conceptual understanding. In Numerical Methods, the trapezium rule and Simpson's rule both appear regularly. Recall that Simpson's rule is always more accurate than the trapezium rule for smooth functions, because it fits parabolic arcs rather than straight-line segments to the function. For an error comment question, you must state whether the trapezium rule gives an overestimate or underestimate — this depends on whether the function is concave up (overestimate) or concave down (underestimate) over the interval. Sketch the curve and the trapezoids to determine this before writing your answer.

More OCR AS Level Subjects

Explore other AS Level subjects from OCR

Related Past Papers

Mathematics B (MEI)

OCRAS Level6 papers

Further Mathematics B (MEI)

OCRA-Level95 papers

Further Mathematics A

OCRAS Level19 papers

AI-Powered Revision

Meet your AI Tutor

Get clear explanations, worked examples, and step-by-step guidance on any AS Level Further Mathematics B (MEI) topic. Your personal AI tutor, free to try.

Try AI Tutor — Free Browse more past papers

✓ No credit card required✓ Covers all OCR topics✓ Instant answers

OCR AS Level Further Mathematics B (MEI) Past Papers

Download Past Papers

June 2023

June 2022

November 2021

November 2020

June 2019

June 2018

No date

Core Pure Foundations and MEI's Distinctive Optional Further Maths Components

Exam Paper Structure

Key Information

Key Topics in Further Mathematics B (MEI)

Exam Command Words

Typical Grade Boundaries

Partial Fractions, Induction, and Algorithmic Tracing in MEI Further Maths

More OCR AS Level Subjects

History A

Further Mathematics A

Religious Studies

Ancient History

Geography

Mathematics A

Music

Biology B (Advancing Biology)

Business

Chemistry B (Salters)

English Language

Physics B (Advancing Physics)

Economics

English Language and Literature (EMC)

Mathematics B (MEI)

Physical Education

Chemistry A

Design and Technology

Media Studies

Physics A

Psychology

Biology A

Classical Civilisation

Computer Science

English Literature

Law

Drama and Theatre

Geology

Latin

Sociology

Art and Design

Classical Greek

Film Studies

Related Past Papers

Meet your AI Tutor