OCR A level Further Maths past papers and mark schemes
OCR publishes its A level Further Mathematics A (H245) past papers free, with mark schemes and examiner reports. There are two compulsory papers, Pure core 1 and Pure core 2, plus two optional papers from statistics, mechanics, discrete mathematics and additional pure mathematics. Each paper is 75 marks in 1 hour 30 minutes.
On this page
OCR A level Further Maths papers by series
Every file opens from the official exam board website. Click any file to preview it here; the preview has Open in new tab and Download. On a phone, files open in a new tab.
June 2025
- Option: Additional pure mathematicsQuestion paperMark schemeExaminer report
- Option: Discrete mathematicsQuestion paperMark schemeExaminer report
- Option: MechanicsQuestion paperMark schemeExaminer report
- Option: StatisticsQuestion paperMark schemeExaminer report
- Paper 1: Pure core 1Question paperMark schemeExaminer report
- Paper 2: Pure core 2Question paperMark schemeExaminer report
June 2024
- Option: Additional pure mathematicsQuestion paperMark schemeExaminer report
- Option: Discrete mathematicsQuestion paperMark schemeExaminer report
- Option: MechanicsQuestion paperMark schemeExaminer report
- Option: StatisticsQuestion paperMark schemeExaminer report
- Paper 1: Pure core 1Question paperMark schemeExaminer report
- Paper 2: Pure core 2Question paperMark schemeExaminer report
June 2023
- Option: Additional pure mathematicsQuestion paperMark schemeExaminer report
- Option: Discrete mathematicsQuestion paperMark schemeExaminer report
- Option: MechanicsQuestion paperMark schemeExaminer report
- Option: StatisticsQuestion paperMark schemeExaminer report
- Paper 1: Pure core 1Question paperMark schemeExaminer report
- Paper 2: Pure core 2Question paperMark schemeExaminer report
June 2022
- Option: Additional pure mathematicsQuestion paperMark schemeExaminer report
- Option: Discrete mathematicsMark schemeExaminer report
- Option: MechanicsMark schemeExaminer report
- Option: StatisticsQuestion paperMark schemeExaminer report
- Paper 1: Pure core 1Mark schemeExaminer report
- Paper 2: Pure core 2Mark schemeExaminer report
November 2021
- Option: Additional pure mathematicsQuestion paperMark scheme
- Option: Discrete mathematicsQuestion paperMark scheme
- Option: MechanicsQuestion paperMark scheme
- Option: StatisticsQuestion paperMark scheme
- Paper 1: Pure core 1Question paperMark scheme
- Paper 2: Pure core 2Question paperMark scheme
November 2020
- Option: Additional pure mathematicsQuestion paperMark scheme
- Option: Discrete mathematicsQuestion paperMark scheme
- Option: MechanicsQuestion paperMark scheme
- Option: StatisticsQuestion paperMark scheme
- Paper 1: Pure core 1Question paperMark scheme
- Paper 2: Pure core 2Question paperMark scheme
June 2019
- Option: Additional pure mathematicsQuestion paperMark schemeExaminer report
- Option: Discrete mathematicsQuestion paperMark schemeExaminer report
- Option: MechanicsMark schemeExaminer report
- Option: StatisticsQuestion paperMark schemeExaminer report
- Paper 1: Pure core 1Mark schemeExaminer report
- Paper 2: Pure core 2Mark schemeExaminer report
Source: official OCR A level Further Maths past papers. All papers are © their publisher.
OCR A level Further Maths paper structure
| Paper | Questions or marks | Time |
|---|---|---|
| Pure core 1 | 75 marks | 1 hour 30 minutes |
| Pure core 2 | 75 marks | 1 hour 30 minutes |
| Two optional papers: statistics, mechanics, discrete or additional pure | 75 marks each | 1 hour 30 minutes each |
A calculator is allowed in every paper, and you get the board's formula booklet in the exam.
Tips for OCR A level Further Maths papers
- Practise only your two optional papers; the files are labelled by option.
- Recent OCR papers come with a separate printed answer booklet. Practise writing full working in a separate space.
- Pure core questions often build over several parts. Use earlier results: the paper is designed that way.
- Use the examiner reports to see which proofs and explanations students found hardest.
Frequently asked questions
Is this OCR Further Maths A or MEI?
This page is OCR Further Mathematics A (H245). OCR's MEI specification (H645) is a different qualification with its own papers.
How long are the OCR Further Maths papers?
Each paper is 1 hour 30 minutes and worth 75 marks.
How many papers do I sit?
Four: Pure core 1, Pure core 2 and two optional papers.