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.
| Paper | Code | Status |
|---|---|---|
| Pure Core 1 | Y540/01 | Compulsory |
| Pure Core 2 | Y541/01 | Compulsory |
| Statistics | Y542/01 | Optional |
| Mechanics | Y543/01 | Optional |
| Discrete mathematics | Y544/01 | Optional |
| Additional pure mathematics | Y545/01 | Optional |
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
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Pure core 1 | Question paper | Answer book | Mark scheme | Examiner report |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | Examiner report |
| Y542/01 Statistics | Question paper | Answer book | Mark scheme | Examiner report |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | Examiner report |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | Examiner report |
| Y545/01 Additional pure mathematics | Question paper | — | Mark scheme | Examiner report |
June 2024
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Pure core 1 | Question paper | Answer book | Mark scheme | Examiner report |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | Examiner report |
| Y542/01 Statistics | Question paper | Answer book | Mark scheme | Examiner report |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | Examiner report |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | Examiner report |
| Y545/01 Additional pure mathematics | Question paper | — | Mark scheme | Examiner report |
June 2023
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Pure core 1 | Question paper | Answer book | Mark scheme | Examiner report |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | Examiner report |
| Y542/01 Statistics | Question paper | Answer book | Mark scheme | Examiner report |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | Examiner report |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | Examiner report |
| Y545/01 Additional pure mathematics | Question paper | — | Mark scheme | Examiner report |
June 2022
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Pure core 1 | Question paper | Answer book | Mark scheme | Examiner report |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | Examiner report |
| Y542/01 Statistics | Question paper | Answer book | Mark scheme | Examiner report |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | Examiner report |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | Examiner report |
| Y545/01 Additional pure mathematics | Question paper | Answer book | Mark scheme | Examiner report |
November 2021
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Pure core 1 | Question paper | Answer book | Mark scheme | — |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | — |
| Y542/01 Statistics | Question paperCorrection | Answer book | Mark scheme | — |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | — |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | — |
| Y545/01 Additional pure mathematics | Question paper | Answer book | Mark scheme | — |
November 2020
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Examiners' report | Question paper | Answer book | Mark scheme | Examiner report |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | Examiner report |
| Y542/01 Statistics | Question paper | Answer book | Mark scheme | — |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | — |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | — |
| Y545/01 Additional pure mathematics | Question paper | Answer book | Mark scheme | — |
June 2019
| Paper | Question paper | Answer book | Mark scheme | Examiner report |
|---|---|---|---|---|
| Y540/01 Pure core 1 | Question paper | Answer book | Mark scheme | Examiner report |
| Y541/01 Pure core 2 | Question paper | Answer book | Mark scheme | Examiner report |
| Y542/01 Statistics | Question paperCorrection | Answer book | Mark scheme | Examiner report |
| Y543/01 Mechanics | Question paper | Answer book | Mark scheme | Examiner report |
| Y544/01 Discrete mathematics | Question paper | Answer book | Mark scheme | Examiner report |
| Y545/01 Additional pure mathematics | Question paper | Answer book | Mark scheme | Examiner report |
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.