OCR · A Level · H245, H645
OCR A Level Further Maths past papers
104 OCR A Level Further Maths papers from 2019 to 2025, 103 with a mark scheme and 72 with an examiners' report. Every link opens the document on OCR's own website; we list them in one place and show which topics each series tested.
Which topics come up most
The topics that have carried the most marks across the OCR A Level Further Maths papers we have tagged question by question. Topics with a revision guide link to it.
| Topic | Questions | Marks | Papers |
|---|---|---|---|
| Further Calculus | 33 | 256 | 15 of 36 |
| Further Algebra and Roots | 29 | 220 | 13 of 36 |
| Further Mechanics: Work, Energy and Power | 22 | 220 | 6 of 36 |
| Decision Maths: Critical Path Analysis and Linear Programming | 19 | 220 | 6 of 36 |
| Further Statistics: Hypothesis Testing, Type I and Type II Errors | 22 | 191 | 6 of 36 |
| Complex Numbers | 24 | 179 | 13 of 36 |
| Further Vectors | 20 | 165 | 19 of 36 |
| Decision Maths: Graphs, Trees and Minimum Spanning Trees | 13 | 148 | 6 of 36 |
| Differential Equations | 14 | 144 | 12 of 36 |
| Hyperbolic Functions | 17 | 141 | 13 of 36 |
| Further Statistics: Discrete Random Variables and Expectation | 14 | 124 | 6 of 36 |
| Series and Summation | 17 | 116 | 14 of 36 |
| Matrices | 15 | 116 | 12 of 36 |
| Further Mechanics: Momentum, Impulse and Collisions | 11 | 111 | 6 of 36 |
| Further Mechanics: Circular Motion | 10 | 95 | 5 of 36 |
Counted from our own question-by-question tagging of 36 papers. A question that tests two topics counts towards both, so the marks column ranks topics rather than adding up to a paper total. Showing the top 15 of 25 topics.
All OCR A Level Further Maths papers by year
June 2025
June 2024
June 2023
June 2022
November 2021
| Paper | Official documents (OCR) |
|---|---|
| Unit Y420: Core pure | Question paperMark schemeAnswer book |
| Unit Y421: Mechanics major | Question paperMark schemeAnswer book |
| Unit Y422: Statistics major | Question paperMark schemeAnswer book |
| Unit Y431: Mechanics minor | Question paperMark schemeAnswer book |
| Unit Y432: Statistics minor | Question paperMark schemeAnswer book |
| Unit Y433: Modelling with algorithms | Question paperMark schemeAnswer book |
| Unit Y434: Numerical methods | Question paperMark schemeAnswer book |
| Unit Y435: Extra pure | Question paperMark schemeAnswer book |
| Unit Y436: Further pure with technology | Question paperMark schemeAnswer book |
| Unit Y540: Pure Core 1 | Question paperMark schemeAnswer book |
| Unit Y541: Pure Core 2 | Question paperMark schemeAnswer book |
| Unit Y542: Statistics | Question paperMark schemeAnswer book |
| Unit Y543: Mechanics | Question paperMark schemeAnswer book |
| Unit Y544: Discrete Mathematics | Question paperMark schemeAnswer book |
| Unit Y545: Additional Pure Mathematics | Question paperMark schemeAnswer book |
November 2020
| Paper | Official documents (OCR) |
|---|---|
| Unit Y420: Core pure | Question paperMark schemeAnswer book |
| Unit Y421: Mechanics major | Question paperMark schemeAnswer book |
| Unit Y422: Statistics major | Question paperMark schemeAnswer book |
| Unit Y431: Mechanics minor | Question paperMark schemeAnswer book |
| Unit Y432: Statistics minor | Question paperMark schemeAnswer book |
| Unit Y433: Modelling with algorithms | Question paperMark schemeAnswer book |
| Unit Y434: Numerical methods | Question paperMark schemeAnswer book |
| Unit Y435: Extra pure | Question paperMark schemeAnswer book |
| Unit Y540: Pure Core 1 | Question paperMark schemeAnswer bookExaminers' report |
| Unit Y541: Pure Core 2 | Question paperMark schemeAnswer bookExaminers' report |
| Unit Y542: Statistics | Question paperMark schemeAnswer book |
| Unit Y543: Mechanics | Question paperMark schemeAnswer book |
| Unit Y544: Discrete Mathematics | Question paperMark schemeAnswer book |
| Unit Y545: Additional Pure Mathematics | Question paperMark schemeAnswer book |
June 2019
Revise before you sit one
A Level Further Maths past papers from other boards
- AQA A Level Further Maths35 papers
- CCEA A Level Further Maths13 papers
- Edexcel A Level Further Maths70 papers
- WJEC A Level Further Maths33 papers
Other OCR A Level past papers
Practise the questions, not just the papers.
The past-paper tool lists every indexed Further Maths question by topic, with its paper, question number, marks and page, so you can sit only the ones you need.