How should I practise these past papers effectively?

Use LumiExams Exam Hub to view the question paper and mark scheme side-by-side. Time yourself for one full paper, self-mark with the MS, then read the examiner report to see where most candidates lost marks.

A-Level 9231 2025 · May-June

Cambridge A-Level Further Mathematics (9231) May-June 2025 Past Papers

Q: What's the difference between AS and A2 papers for 9231?

In Further Mathematics 9231, AS-Level is two papers: Further Pure Mathematics 1 plus one applied paper (Further Mechanics or Further Probability & Statistics). Full A-Level requires all four papers. There is no practical paper.

Q: Why does this session have variants 1, 2, 3?

Cambridge issues different variants so the exam can be sat safely across world time zones. All variants test the same syllabus at equivalent difficulty, with grade thresholds calibrated to even out any small variation. Practising any variant is equally valuable.

Q: When does Cambridge release May-June 2025 mark schemes and examiner reports?

Cambridge typically publishes mark schemes around 6-8 weeks after results day, with the examiner report following roughly three months later.

This page hosts the full 25-file bundle for the Cambridge A-Level Further Mathematics (9231) May-June 2025 examination — question papers, mark schemes, grade thresholds document . This session covers 3 time-zone variants (papers numbered X1, X2, X3 — e.g. Paper 11 for variant 1).

The May-June 2025 sitting is the main May-June series — the largest global sitting for Cambridge A-Level. All files are sourced from Cambridge International and free to download.

Grade Thresholds

25 files • 7.6 MB

9231 May-June 2025 Papers

Paper 1

AS-Level

Further Pure Mathematics 1

2h 75 marks

Variant 1

Question Paper Mark Scheme

Variant 2

Question Paper Mark Scheme

Variant 3

Question Paper Mark Scheme

Paper 2

Further Pure Mathematics 2

2h 75 marks

Variant 1

Question Paper Mark Scheme

Variant 2

Question Paper Mark Scheme

Variant 3

Question Paper Mark Scheme

Paper 3

AS-Level

Further Mechanics

1h 30min 50 marks

Variant 1

Question Paper Mark Scheme

Variant 2

Question Paper Mark Scheme

Variant 3

Question Paper Mark Scheme

Paper 4

AS-Level

Further Probability & Statistics

1h 30min 50 marks

Variant 1

Question Paper Mark Scheme

Variant 2

Question Paper Mark Scheme

Variant 3

Question Paper Mark Scheme

Oct-Nov 2024

All 9231 papers

Oct-Nov 2025

Related 9231 sessions

Other 2025 sessions

Further Mathematics Oct-Nov 2025

May-June across other years

View all 9231 past papers →

Paper components in this session

The Further Mathematics 9231 qualification is built from 4 paper components totalling 250 marks. The grid below shows each paper appearing in the May-June 2025 bundle on this page.

Paper 1 AS

Further Pure Mathematics 1

2h · 75 marks

Paper 2 A2

Further Pure Mathematics 2

2h · 75 marks

Paper 3 AS

Further Mechanics

1h 30min · 50 marks

Paper 4 AS

Further Probability & Statistics

1h 30min · 50 marks

About the May-June 2025 9231 session

Further Mathematics 9231 has four components: Paper 1 (Further Pure Mathematics 1), Paper 2 (Further Pure Mathematics 2), Paper 3 (Further Mechanics), and Paper 4 (Further Probability & Statistics). AS-Level candidates sit Paper 1 plus one applied paper (Paper 3 or Paper 4); the full A-Level requires all four papers. There is no practical paper, and it is normally studied alongside A-Level Mathematics 9709.

The May-June 2025 bundle below contains 25 files across 4 paper components and 3 time-zone variants. Mark schemes are included for every question paper. The examiner report has not yet been released for this session. Grade thresholds are linked at the top of this page.

How to use these A-Level Further Mathematics past papers

Timed practice under exam conditions

Sit each paper at the exact duration listed in the components grid. The A-Level pacing problem on Paper 4 is famously tight, so finishing on time is itself a skill worth practising.

Mark with the May-June 2025 MS

Cambridge mark schemes show acceptable wording and method marks for each step. After self-marking, log which questions cost you method marks vs accuracy marks — they need different fixes.

Read the examiner report (when released)

The ER for this session flags the specific questions where most candidates struggled and what the examiners wanted to see instead. It's the single highest-leverage document in the bundle for targeted revision.

Use grade thresholds to set a target

A-Level thresholds shift each session with paper difficulty, and there is no A* on a single paper: Cambridge sets A* for the overall A Level only. In June 2025, an A* needed 210 to 226 out of 250 (84% to 90%) for the whole A Level sat in one series, depending on the option, and AS grade a needed 79 to 104 out of 125 (63% to 83%) (Cambridge grade threshold table, June 2025). See the grade thresholds for every 9231 session.

A-Level 9231 May-June 2025 — Frequently asked questions

What's in the Cambridge A-Level Further Mathematics May-June 2025 paper bundle?

This page hosts 25 files for the Cambridge A-Level Further Mathematics (9231) May-June 2025 session: question papers, mark schemes, and the grade thresholds document. All files come directly from Cambridge International and are free to download.

What's the difference between AS and A2 papers for 9231?

In Further Mathematics 9231, AS-Level requires two papers: Further Pure Mathematics 1 (Paper 1) plus one applied paper — Further Mechanics (Paper 3) or Further Probability & Statistics (Paper 4). The full A-Level requires all four papers, adding Further Pure Mathematics 2 (Paper 2). There is no practical paper, and it is normally taken alongside A-Level Mathematics 9709.

Why does this session have variants 1, 2, 3?

Cambridge issues different variants of each paper so the exam can be sat safely across the world's time zones without leaks. The last digit of the paper number is the variant (for example, Papers 11, 12 and 13 are variants 1, 2 and 3 of Paper 1). Which variant you sit depends on your school's administrative zone, and Cambridge's timetable for each zone lists it. All variants test the same syllabus content at equivalent difficulty — Cambridge calibrates the grade thresholds afterwards to even out any small variation. Practising any variant is equally valuable.

When does Cambridge release May-June 2025 mark schemes and examiner reports?

Cambridge typically publishes mark schemes for the May-June series around 6-8 weeks after results day, and the examiner report follows roughly three months later. The mark schemes for this session are available above. The examiner report has not been published yet.

How should I practise 9231 May-June 2025 papers most effectively?

Use our free Exam Hub to view the question paper and mark scheme side-by-side. Time yourself for one full paper (the duration is in the components grid above), self-mark with the MS. For weak topics, cross-reference the A-Level Further Mathematics hub.

Get A-Level Further Mathematics Tips

Join students preparing for 9231. Get exam reminders, new past paper alerts and revision resources by email.

Revising with a friend? Send them these past papers.

Copyright & Educational Use

All examination materials including question papers, mark schemes, and examiner reports are the intellectual property of Cambridge Assessment International Education.

We share these materials freely for educational purposes to help students prepare for their examinations. This platform is an independent study resource and is not affiliated with or endorsed by Cambridge International.

For official examination resources, registration, and support, please visit cambridgeinternational.org.