OCR A-Level Maths — Past Papers, Practice Papers & Resources
Every current syllabus paper and mark scheme from 2018, and the full Madas practice-paper archive — collected and kept up to date by Kevin Holdstock, who has privately tutored A-Level maths for 14 years.
Working towards this exam and want one-to-one help? See how weekly tuition works →
I take a limited number of one-to-one students so everyone gets proper attention between sessions as well as in them.
Contact me to reserve your spaceStarting A-Level maths in September?
This is the single biggest jump in the school system, and the students who handle it are the ones who work correctly from week one — not the ones who catch up later. If your son or daughter is starting Year 12 in September, now is the right moment to put a good structure in place, rather than waiting to see how the first term or year goes.
Ask about a September placeWhat weekly tuition actually looks like
I'm Kevin. I've taught maths one to one for 14 years — the first seven travelling house to house, and every year since 2019 entirely online. I've taught the OCR A syllabus since it was first examined, and every resource on this page is one I use with my own students.
Lessons are usually one hour a week, always one to one, online and £120 an hour.
The step most students don't see coming
GCSE maths rewards revision. By the time you sit it you've met most of the syllabus four or five times, a little deeper each year, so a hard run at it in Year 11 works. A-Level doesn't behave like that. It's taught once, it moves fast, and it expects independent practice from the first week.
Most students don't find this out in September, some only realising in the summer exams at the end of Year 12 — and by then they're facing a summer of catching up before Year 13 has even started. Maths punishes gaps more than any other subject: missing a few building blocks early can soon lead to a student feeling out of their depth and struggling to understand the rest of the syllabus as it progresses. You can't paper over it later, you have to go back and rebuild, and that costs far more time than staying on top of it from the start would.
How the tuition works
Starting in Year 12 — the full course
We work through my study plan together from day one. As you finish each topic at school I will set you a mixed exercise for that topic — a proper overview that shows us both what's solid and what isn't. Session time then goes where it's needed: polishing the loose ends, or teaching from scratch anything that didn't land in class. Your understanding stays topped up the whole way through, rather than being audited for the first time in a mock. Most of my students take this route and stay for the full two years.
Joining late in Year 12 or at the start in Year 13 — filling gaps and polishing
If Year 12 left holes, we will find yours specifically and work on those, rather than a generic recap of the whole year. At the same time we will polish the things you do know up to a very high standard and endeavour to stay on top of Year 13 as it's taught, so you're closing the gap and keeping pace instead of choosing between them. I have very limited spaces available for this and would recommend 2 hours a week of tuition for students in this situation.
Testimonials
“He starts from where the student is and makes learning really personal. He is a skilled motivator who understands the competing demands on kids' time. My son worked with Kevin for final year GCSE and both A level years. He achieved the grades he needed to choose the University course he wanted.”
“He taught my son throughout Year 12–13 and guided him through the A level Maths course. My son moved from a C/D prediction to obtaining a secure A* grade this summer. I have signed my daughter up and she looks forward to the sessions as much as my son.”
I teach Edexcel, AQA and OCR-MEI as well as OCR A — the content is largely the same across boards, and I'll work from your specification and past papers.
My recommended work plan
This is the plan I use with my own students, and it's the reason the resources on this page are arranged the way they are. Follow it properly and you'll have seen every question type this syllabus asks, at and above the level the real paper tests.
Textbook exercises, topic by topic
Use the exercises from the OCR A textbooks as you finish each topic at school or college — if you're aiming for A*, you should use the red questions from the textbooks to see if you have achieved that level on that topic and to uncover gaps,
Madas papers, section by section
When you finish each of the four sections of the course — AS Pure, A2 Pure, Statistics, Mechanics — move on to the Madas papers below for that section and work through them in order, the difficulty increases as you go through.
Past papers, under exam conditions
Closer to your exam, move from the Madas papers to the OCR A past papers below. Timed, with the formulae book, marked honestly against the mark scheme — oldest years first, most recent saved for last.
Walk in knowing you've seen it before
By the time you sit the real paper, nothing on it should be unfamiliar. That's the whole point of working in this order.
If you would like someone to help keep you on this plan, filling your gaps in understanding as you go, please Whatsapp me on 07940928228 to enquire about weekly tuition.
OCR A-Level Maths grade boundaries
Overall qualification boundaries, out of 300 across all three papers, with the percentage in brackets. The A* is awarded on your total across all three papers, not on each one individually.
| Year | A* | A | B | C | D | E |
|---|---|---|---|---|---|---|
| 2026 | 250 (83%) | 208 (69%) | 172 (57%) | 136 (45%) | 100 (33%) | 65 (22%) |
| 2025 | 242 (81%) | 196 (65%) | 163 (54%) | 130 (43%) | 97 (32%) | 64 (21%) |
| 2024 | 216 (72%) | 168 (56%) | 137 (46%) | 106 (35%) | 75 (25%) | 44 (15%) |
| 2023 | 209 (70%) | 161 (54%) | 129 (43%) | 97 (32%) | 66 (22%) | 35 (12%) |
| 2022 | 193 (64%) | 149 (50%) | 119 (40%) | 90 (30%) | 61 (20%) | 32 (11%) |
| 2019 | 216 (72%) | 161 (54%) | 130 (43%) | 100 (33%) | 70 (23%) | 40 (13%) |
| 2018 | 240 (80%) | 197 (66%) | 162 (54%) | 128 (43%) | 94 (31%) | 60 (20%) |
No exams ran in 2020 or 2021. The 2022 series was graded under transitional post-pandemic arrangements with deliberately more generous boundaries — note the A* rising from 64% that year to 83% by 2026. Boundaries as published by OCR. Official OCR grade boundaries →
What these numbers tell you
This is the most volatile boundary of any qualification on this site. Since exams returned to standard grading, the A* has moved from 70% (2023) to 72% (2024) to 81% (2025) to 83% (2026) — a 13-point climb in four years, and it hasn't levelled off yet. Treat 2026 as the number to beat, not an average of recent years, because the trend is still moving upward.
2018 is a useful reference point precisely because it predates that climb: 80% for an A*, closer to where the boundary has ended up in 2026 than to where it sat in 2022 or 2023. If you're working from an older set of papers, 2022–2023 boundaries will understate what's actually needed now.
OCR A Current Syllabus (first taught 2017)
Papers run oldest to newest on purpose — work through the earlier years first and save the most recent papers for timed practice close to your exam.
Marking a paper? The grade boundaries for every year are further down this page — worth checking what your score actually meant that year before you judge it. Back to grade boundaries ↑
- Jun 2018
- Jun 2019
- Oct 2020
- Nov 2021
- Jun 2022
- Jun 2023
- Jun 2024
- Jun 2025
- Jun 2026
- Sample Papers
- Practice Papers Set 1
- Practice Papers Set 2
- Practice Papers Set 3
- Practice Papers Set 4
June 2018 A Level
| Paper 1: Pure Mathematics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2018 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2019 A Level
| Paper 1: Pure Mathematics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2019 AS Level
| Paper 1: Pure & Statistics | Question Paper — Erratum | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
Oct 2020 A Level
| Paper 1: Pure Mathematics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
Oct 2020 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
Nov 2021 A Level
| Paper 1: Pure Mathematics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
Nov 2021 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Answer Booklet | |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Answer Booklet |
June 2022 A Level
| Paper 1: Pure Mathematics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2022 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2023 A Level
| Paper 1: Pure Mathematics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2023 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2024 A Level
| Paper 1: Pure Maths | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2024 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2025 A Level
| Paper 1: Pure Maths | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 3: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
June 2025 AS Level
| Paper 1: Pure & Statistics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
| Paper 2: Pure & Mechanics | Question Paper | Mark Scheme | Examiners Report | Answer Booklet |
The 2026 papers are still locked on the OCR website so that schools can use them for mock exams. If your school has not used these for mocks, then you should ask your school teacher for access to these papers.
A Level
| Pure Maths | Sample Assessment Material |
| Pure Maths & Statistics | Sample Assessment Material |
| Pure Maths & Mechanics | Sample Assessment Material |
AS Level
| Pure Maths & Statistics | Sample Assessment Material |
| Pure Maths & Mechanics | Sample Assessment Material |
| Paper 1 | Question Paper | Mark Scheme |
| Paper 2 | Question Paper | Mark Scheme |
| Paper 3 | Question Paper | Mark Scheme |
| Paper 1 | Question Paper | Mark Scheme |
| Paper 2 | Question Paper | Mark Scheme |
| Paper 3 | Question Paper | Mark Scheme |
| Paper 1 | Question Paper | Mark Scheme |
| Paper 2 | Question Paper | Mark Scheme |
| Paper 3 | Question Paper | Mark Scheme |
| Paper 1 | Question Paper | Mark Scheme |
| Paper 2 | Question Paper | Mark Scheme |
| Paper 3 | Question Paper | Mark Scheme |
Struggling to understand past paper questions and mark schemes?
Enquire about 1-1 tuition with KevinMadas Maths Papers
The Madas Maths papers increase in difficulty from A to Z and each have well written model solutions for you to check your anwers and learn and revise from when you get stuck. I’d suggest you start working through as many of these as papers as you can, as soon as you finish each section of the course (Year 1 pure, year 2 pure, statistics, mechanics), before moving on to your OCR past papers closer to your exam.
The Madas Maths papers are excellent exam preparation, and will consolidate all the basic concepts and standard exam questions, help you recognise the different ways the same question can be asked, but also, there are many questions designed to develop your problem solving skills and gain the deeper understanding of the syllabus required to get to A* level. If you’re able to work through most of the Madas Maths papers you’ll find the OCR papers well within your capabilities.
Madas papers uncovering gaps in your understanding?
Enquire about 1-1 tuition with KevinMP1 Papers
(Year 1/AS Level Pure Maths)
(Year 2/A2 Level Pure Maths)
(Year 1 and Year 2 Applied Maths combined
Each paper is split in two, half Statistics, half Mechanics)
(Year 1 and Year 2 Pure Maths combined)
One hour a week. One to one. Tailored to your specific needs.
Weekly online lessons with structured work in between — the right exercises after each topic, the right practice papers at the right time, and someone making sure the gaps get found while they're still small.
£120 per hour