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Further Mathematics
OCR

AQA55 papers · 30 topics Edexcel225 papers · 93 topics OCR248 papers · 42 topics WJEC24 papers CCEANo papers yet Not sure which board?

OCR A Level Further Maths A past papers and mark schemes

OCR A Level Further Maths past papers

June 2025 Latest

Pure Core 1

QP MSExaminer report not published yetERInsert

Pure Core 2

QP MSExaminer report not published yetERInsert

Additional Pure

QPMark scheme not in the archiveMSExaminer report not published yetER

Discrete

QPMark scheme not in the archiveMSExaminer report not published yetER

Mechanics

QPMark scheme not in the archiveMSExaminer report not published yetER

Statistics

QPMark scheme not in the archiveMSExaminer report not published yetER

Pure Core 1

Y540QP MS ER

Pure Core 2

Y541QP MS ER

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MS ER

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MS ER

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MS ER

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MS ER

June 2025

Extra Pure

QPMark scheme not in the archiveMSExaminer report not published yetER

Further Pure With Technology

QPMark scheme not in the archiveMSExaminer report not published yetER

Mechanics Major

QPMark scheme not in the archiveMSExaminer report not published yetER

Mechanics Minor

QPMark scheme not in the archiveMSExaminer report not published yetER

Modelling With Algorithms

QPMark scheme not in the archiveMSExaminer report not published yetER

Numerical Methods

QPMark scheme not in the archiveMSExaminer report not published yetER

Pure Core

QPMark scheme not in the archiveMSExaminer report not published yetER

Statistics Major

QPMark scheme not in the archiveMSExaminer report not published yetER

Statistics Minor

QPMark scheme not in the archiveMSExaminer report not published yetER

Core Pure

Y420QP MS ER

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MS ER

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MS ER

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MS ER

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MS ER

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QP MS ER

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MS ER

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MS ER

Further Pure with Technology (minor option - choose one with a major, or three alone)

Y436QP MSExaminer report not published yetER

June 2024

Pure Core 1

QP MSExaminer report not in the archiveERInsert

Pure Core 2

QP MSExaminer report not in the archiveERInsert

Additional Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Discrete

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core 1

Y540QP MS ER

Pure Core 2

Y541QP MS ER

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MS ER

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MS ER

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MS ER

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MS ER

June 2024

Extra Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Further Pure With Technology

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Modelling With Algorithms

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Numerical Methods

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Core Pure

Y420QP MS ER

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MS ER

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MS ER

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MS ER

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MS ER

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QP MS ER

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MS ER

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MS ER

Further Pure with Technology (minor option - choose one with a major, or three alone)

Y436QP MSExaminer report not in the archiveER

June 2023

Pure Core 1

QP MSExaminer report not in the archiveERInsert

Pure Core 2

QP MSExaminer report not in the archiveERInsert

Additional Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Discrete

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core 1

Y540QP MS ER

Pure Core 2

Y541QP MS ER

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MS ER

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MS ER

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MS ER

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MS ER

June 2023

Extra Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Further Pure With Technology

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Modelling With Algorithms

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Numerical Methods

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Core Pure

Y420QP MS ER

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MS ER

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MS ER

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MS ER

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MS ER

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QPMark scheme not in the archiveMSER

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MS ER

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MS ER

Further Pure with Technology (minor option - choose one with a major, or three alone)

Y436QP MSExaminer report not in the archiveER

2022June

June 2022

Pure Core 1

QP MSExaminer report not in the archiveERInsert

Pure Core 2

QP MSExaminer report not in the archiveERInsert

Additional Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Discrete

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core 1

Y540QP MS ER

Pure Core 2

Y541QP MS ER

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MS ER

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MS ER

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MS ER

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MS ER

June 2022

Extra Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Further Pure With Technology

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Modelling With Algorithms

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Numerical Methods

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Core Pure

Y420QP MS ER

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MS ER

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MS ER

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MS ER

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MS ER

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QP MS ER

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MS ER

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MS ER

Further Pure with Technology (minor option - choose one with a major, or three alone)

Y436QP MSExaminer report not in the archiveER

2021November

November 2021

Pure Core 1

QPMark scheme not in the archiveMS

Pure Core 2

QPMark scheme not in the archiveMS

Additional Pure

QPMark scheme not in the archiveMS

Discrete

QPMark scheme not in the archiveMS

Mechanics

QPMark scheme not in the archiveMS

Statistics

QPMark scheme not in the archiveMS

Pure Core 1

Y540QP MS

Pure Core 2

Y541QP MS

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MS

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MS

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MS

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MS

November 2021

Extra Pure

QPMark scheme not in the archiveMS

Further Pure With Technology

QPMark scheme not in the archiveMS

Mechanics Major

QPMark scheme not in the archiveMS

Mechanics Minor

QPMark scheme not in the archiveMS

Modelling With Algorithms

QPMark scheme not in the archiveMS

Numerical Methods

QPMark scheme not in the archiveMS

Pure Core

QPMark scheme not in the archiveMS

Statistics Major

QPMark scheme not in the archiveMS

Statistics Minor

QPMark scheme not in the archiveMS

Core Pure

Y420QP MS

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MS

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MS

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MS

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MS

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QP MS

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MS

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MS

Further Pure with Technology (minor option - choose one with a major, or three alone)

Y436QP MS

2020November

November 2020

Pure Core 1

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core 2

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Additional Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Discrete

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core 1

Y540QP MS ER

Pure Core 2

Y541QP MS ER

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MSExaminer report not in the archiveER

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MSExaminer report not in the archiveER

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MSExaminer report not in the archiveER

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MSExaminer report not in the archiveER

November 2020

Extra Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Modelling With Algorithms

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Numerical Methods

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Core Pure

Y420QP MS ER

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MSExaminer report not in the archiveER

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MSExaminer report not in the archiveER

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MSExaminer report not in the archiveER

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MSExaminer report not in the archiveER

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QP MSExaminer report not in the archiveER

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MSExaminer report not in the archiveER

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MSExaminer report not in the archiveER

2019June

June 2019

Pure Core 1

QP MSExaminer report not in the archiveERInsert

Pure Core 2

QP MSExaminer report not in the archiveERInsert

Additional Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Discrete

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core 1

Y540QP MS ER

Pure Core 2

Y541QP MS ER

Statistics (optional - choose any two of Y542/Y543/Y544/Y545)

Y542QP MS ER

Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)

Y543QP MS ER

Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y544QP MS ER

Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)

Y545QP MS ER

June 2019

Extra Pure

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Further Pure With Technology

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Mechanics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Modelling With Algorithms

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Numerical Methods

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Pure Core

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Major

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Statistics Minor

QPMark scheme not in the archiveMSExaminer report not in the archiveER

Core Pure

Y420QP MS ER

Mechanics Major (major option - choose one of Y421/Y422, or three minors)

Y421QP MS ER

Statistics Major (major option - choose one of Y421/Y422, or three minors)

Y422QP MS ER

Mechanics Minor (minor option - choose one with a major, or three alone)

Y431QP MS ER

Statistics Minor (minor option - choose one with a major, or three alone)

Y432QP MS ER

Modelling with Algorithms (minor option - choose one with a major, or three alone)

Y433QP MS ER

Numerical Methods (minor option - choose one with a major, or three alone)

Y434QP MS ER

Extra Pure (minor option - choose one with a major, or three alone)

Y435QP MS ER

Further Pure with Technology (minor option - choose one with a major, or three alone)

Y436QP MSExaminer report not in the archiveER

Specimen material

Pure Core 1

QPMark scheme not in the archiveMS

Pure Core 2

QPMark scheme not in the archiveMS

Additional Pure

QPMark scheme not in the archiveMS

Discrete

QPMark scheme not in the archiveMS

Mechanics

QPMark scheme not in the archiveMS

Statistics

QPMark scheme not in the archiveMS

Specimen material

Extra Pure

QPMark scheme not in the archiveMS

Further Pure With Technology

QPMark scheme not in the archiveMS

Mechanics Major

QPMark scheme not in the archiveMS

Mechanics Minor

QPMark scheme not in the archiveMS

Modelling With Algorithms

QPMark scheme not in the archiveMS

Numerical Methods

QPMark scheme not in the archiveMS

Pure Core

QPMark scheme not in the archiveMS

Statistics Major

QPMark scheme not in the archiveMS

Statistics Minor

QPMark scheme not in the archiveMS

Old course 7896 January 2007 to June 2018. The exam before H245: still good practice, but the papers are numbered differently.

June 2018

Paper

QPMark scheme not in the archiveMS

June 2017

QPMark scheme not in the archiveMS

Paper

QP MS

QPMark scheme not in the archiveMS

June 2016

QPMark scheme not in the archiveMS

Paper

QP MS

QPMark scheme not in the archiveMS

June 2015

QPMark scheme not in the archiveMS

Paper

QP MS

QPMark scheme not in the archiveMS

June 2014

QPMark scheme not in the archiveMS

Paper

QPMark scheme not in the archiveMS

June 2013

QPMark scheme not in the archiveMS

January 2013

QPMark scheme not in the archiveMS

June 2008

QPMark scheme not in the archiveMS

January 2008

QPMark scheme not in the archiveMS

June 2007

QPMark scheme not in the archiveMS

January 2007

QPMark scheme not in the archiveMS

Paper by year

Pure Core 1All years
Pure Core 2All years
Statistics (optional - choose any two of Y542/Y543/Y544/Y545)All years
Mechanics (optional - choose any two of Y542/Y543/Y544/Y545)All years
Discrete Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)All years
Additional Pure Mathematics (optional - choose any two of Y542/Y543/Y544/Y545)All years

Questions by topic

Stuck on one topic? Practise just that.

Every question is lifted out of its paper and filed under its topic, with its mark scheme.

Work, energy and power18 Qs Graphs and networks10 Qs Combinatorics8 Qs Hyperbolic functions8 Qs Integrating hyperbolic and inverse functions8 Qs

Linear programming7 Qs Logarithms7 Qs Matrix transformations7 Qs Scalar product7 Qs Vector product7 Qs

42 topics and 258 real exam questions in OCR A Level Further Maths, each with its mark scheme.

See all 42 topics

OCR A Level Further Maths

CodeH245

At a glance

The course: OCR A Level Further Maths A H245, Ofqual QAN 603/1325/0, was first examined in 2017.
What we hold: We hold 233 papers from 25 sittings, January 2007 to June 2025, and the specimen papers.
Full title: Cambridge OCR Level 3 Advanced GCE in Further Mathematics A · QAN 603/1325/0 · 2017 onwards

Turn over to papers ↑

Not OCR? Same subject, other boards.

Each board sets completely different papers. Check yours before you revise the wrong thing for months.

AQA55 papers · 30 topics Edexcel225 papers · 93 topics WJEC24 papers CCEANo papers yet

The board and course code are printed on the front of every mock paper.

HELP. Which board am I??

Find a mock or past paper from school. The board's name is at the top of the front cover, and the course code is printed next to it, like H245. No paper to hand? Ask your teacher which board and course code you are entered for.

Also on this page H245 Further Maths B (MEI) H645 500/2790/6 7896 100/6018/2 7892 7897

Award A Level AS

OCR H645

Cambridge OCR Level 3 Advanced GCE in Further Mathematics B (MEI) · 2017 onwards

Its 133 papers from 8 series are in the years above.

OCR 7896 Earlier

OCR Advanced GCE in Further Mathematics · 2003-2019

Its 25 papers from 11 series are in the years above.

Other courses, no papers held

OCR Level 3 Advanced GCE in Further Mathematics (Pilot)OCR Advanced GCE in Further Mathematics (MEI)OCR Advanced GCE in Pure Mathematics 7892OCR Advanced GCE in Pure Mathematics (MEI) 7897

Memes

Certified Further Maths memes. Peer-reviewed by nobody.

Laugh now. Cry in the exam hall later. Then come back and do a past paper.

Prove it by induction

Write ‘clearly’ and move on

Me on the final ‘show that’

Using the formula booklet

Proving it by induction

Writing ‘by symmetry’ to skip half the work

Writing ‘trivially’ and daring the examiner

Further enlightenment, ranked

Mum 💖

how's further maths going?? 🥰

my answers are all complex rn

keep it simple love 💖

📱 Screen time this week · Spotify4h 59m

The answer was i. Nobody knows why

Further Maths starter pack

Calculator that does matricesProof that’s 3 pages longArgand diagram doodlesThis website

Collect all four. Prove it.