OCR · Further Mathematics A · H245

OCR A Level Further Maths past papers

OCR A Level Further Maths past papers for Further Mathematics A are filed under Y codes. The qualification code is H245. There is no paper called H245/01. Every paper is 75 marks, 1 hour 30 minutes, and 25% of the A Level.

H245 units
PaperCodeStatus
Pure Core 1Y540/01Compulsory
Pure Core 2Y541/01Compulsory
StatisticsY542/01Optional
MechanicsY543/01Optional
Discrete mathematicsY544/01Optional
Additional pure mathematicsY545/01Optional

You need both pure cores and any two options. OCR also allows extra options, and then uses the combination that gives the best grade. That rule changes how you prioritise if you were entered for three options: the weakest paper can drop out of the award.

The compulsory pure content includes proof, complex numbers, matrices, further vectors, further algebra, series, hyperbolic functions, further calculus, polar coordinates and differential equations. Y540 and Y541 are the papers every H245 candidate sits, so they are the first pair to mark.

H245 assessment materials · Specification at a glance

Question papers and mark schemes

Each link is the file on OCR's A Level assessment page. Modified papers and sample assessments are not listed.

Links checked on 1 October 2026. Board page these files are listed on.

June 2025

June 2025
PaperQuestion paperAnswer bookMark schemeExaminer report
Y540/01 Pure core 1Question paperAnswer bookMark schemeExaminer report
Y541/01 Pure core 2Question paperAnswer bookMark schemeExaminer report
Y542/01 StatisticsQuestion paperAnswer bookMark schemeExaminer report
Y543/01 MechanicsQuestion paperAnswer bookMark schemeExaminer report
Y544/01 Discrete mathematicsQuestion paperAnswer bookMark schemeExaminer report
Y545/01 Additional pure mathematicsQuestion paper—Mark schemeExaminer report

June 2024

June 2024
PaperQuestion paperAnswer bookMark schemeExaminer report
Y540/01 Pure core 1Question paperAnswer bookMark schemeExaminer report
Y541/01 Pure core 2Question paperAnswer bookMark schemeExaminer report
Y542/01 StatisticsQuestion paperAnswer bookMark schemeExaminer report
Y543/01 MechanicsQuestion paperAnswer bookMark schemeExaminer report
Y544/01 Discrete mathematicsQuestion paperAnswer bookMark schemeExaminer report
Y545/01 Additional pure mathematicsQuestion paper—Mark schemeExaminer report

June 2023

June 2023
PaperQuestion paperAnswer bookMark schemeExaminer report
Y540/01 Pure core 1Question paperAnswer bookMark schemeExaminer report
Y541/01 Pure core 2Question paperAnswer bookMark schemeExaminer report
Y542/01 StatisticsQuestion paperAnswer bookMark schemeExaminer report
Y543/01 MechanicsQuestion paperAnswer bookMark schemeExaminer report
Y544/01 Discrete mathematicsQuestion paperAnswer bookMark schemeExaminer report
Y545/01 Additional pure mathematicsQuestion paper—Mark schemeExaminer report

June 2022

November 2021

November 2021
PaperQuestion paperAnswer bookMark schemeExaminer report
Y540/01 Pure core 1Question paperAnswer bookMark scheme—
Y541/01 Pure core 2Question paperAnswer bookMark scheme—
Y542/01 StatisticsQuestion paperCorrectionAnswer bookMark scheme—
Y543/01 MechanicsQuestion paperAnswer bookMark scheme—
Y544/01 Discrete mathematicsQuestion paperAnswer bookMark scheme—
Y545/01 Additional pure mathematicsQuestion paperAnswer bookMark scheme—

November 2020

November 2020
PaperQuestion paperAnswer bookMark schemeExaminer report
Y540/01 Examiners' reportQuestion paperAnswer bookMark schemeExaminer report
Y541/01 Pure core 2Question paperAnswer bookMark schemeExaminer report
Y542/01 StatisticsQuestion paperAnswer bookMark scheme—
Y543/01 MechanicsQuestion paperAnswer bookMark scheme—
Y544/01 Discrete mathematicsQuestion paperAnswer bookMark scheme—
Y545/01 Additional pure mathematicsQuestion paperAnswer bookMark scheme—

June 2019

This is not Further Mathematics B (MEI). MEI units start at Y420. June 2026 boundaries for each H245 option pair are on grade boundaries. Mathematics A is H240.

Questions people ask

Why is there no H245/01?
OCR files the papers by unit. Pure Core 1 is Y540/01 and Pure Core 2 is Y541/01. The optional papers are Y542, Y543, Y544 and Y545.
Can I sit more than two options?
Yes. OCR says students may take more than two optional papers, and the combination that produces the best grade is the one that is used.
Are there 2018 papers?
The specification says first assessment in 2019. A 2018 file for this specification is a sample, not a live paper.