A-Level 9231

Cambridge A-Level Further Mathematics (9231) — 2021 Past Papers

The Cambridge A-Level Further Mathematics (9231) 2021 examination consisted of 2 exam sessions totalling 52 downloadable files (39.0 MB). Every session bundle includes question papers (QP), mark schemes (MS), examiner reports (ER) and grade thresholds (GT) for each component — covering both the AS-Level papers (Further Pure Mathematics 1 plus one applied paper) and the full A-Level (all four papers). Use the session cards below to download individual papers, or jump to a different year at the bottom of the page.

Exam sessions
2
Papers / files
52
Download size
39.0 MB
Paper components
4

2021 Exam Sessions

May/Jun Series

May-June

2021

S
Files 26
Size 19.0 MB
Series code 9231_s21
View papers
Oct/Nov Series

Oct-Nov

2021

W
Files 26
Size 20.0 MB
Series code 9231_w21
View papers

9231 Paper Components Set in 2021

In 2021, Cambridge set 12 distinct paper variants across the 2 sessions of A-Level Further Mathematics. AS-Level uses Further Pure Mathematics 1 plus one applied paper; the full A-Level uses all four papers. All variants of a given paper test the same syllabus content and are graded to the same standard — only the specific questions differ.

Why multiple variants? Cambridge sets two or three versions of every paper to manage exam security across global time zones. A paper sat at 9am local time in Singapore would finish before the same paper started in the UK — without separate variants, leaked questions could spread eastward before Western candidates sat down. Each variant is timed and assigned to a specific administrative zone so candidates in different time zones never see the same questions.

How to read the variant code: the two-digit number after the slash is paper-number + variant-number. So 9231/12 is Paper 1, Variant 2; 9231/41 is Paper 4, Variant 1. Your school's administrative zone determines which variant you sit — Variant 1 typically goes to schools in Africa, Europe and the Middle East; Variant 2 to South Asia (India, Pakistan, Bangladesh, Sri Lanka) and parts of South-East Asia; Variant 3 to East Asia and the Pacific.

2021 variant pattern: the March series — where offered — only sets Variant 2 papers because it serves a single administrative zone; May/June and October/November sessions typically set all available variants. May-June 2021 set variants 11, 12, 13, 21, 22, 23, 31, 32, 33, 41, 42, 43; Oct-Nov 2021 set variants 11, 12, 13, 21, 22, 23, 31, 32, 33, 41, 42, 43.

Paper 1
AS
Further Pure Mathematics 1
75 marks · 2h
2021 variants
11, 12, 13
Paper 2
A2
Further Pure Mathematics 2
75 marks · 2h
2021 variants
21, 22, 23
Paper 3
AS
Further Mechanics
50 marks · 1h 30min
2021 variants
31, 32, 33
Paper 4
AS
Further Probability & Statistics
50 marks · 1h 30min
2021 variants
41, 42, 43

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Frequently Asked Questions

How long is each 9231 paper and how many marks is it worth?

Cambridge A-Level Further Mathematics (9231) is made up of 4 paper components totalling 250 marks across the full A-Level. Further Pure Mathematics 1 (Paper 1) plus one applied paper form the AS-Level; the full A-Level requires all four papers.

  • 1
    Further Pure Mathematics 1
    2h 75 marks AS-Level
  • 2
    Further Pure Mathematics 2
    2h 75 marks A2 (Full A-Level only)
  • 3
    Further Mechanics
    1h 30min 50 marks AS-Level
  • 4
    Further Probability & Statistics
    1h 30min 50 marks AS-Level

Note: Times shown are the official Cambridge writing time and do not include the 5 minutes of reading time given before most papers begin.

When are Cambridge A-Level Further Mathematics exams held?

Cambridge International A-Level Further Mathematics (9231) is offered in up to three sessions each year: March (limited to India and a few other regions, AS components only), May/June (the main worldwide session for both AS and full A-Level), and October/November. The 2021 papers on this page cover all 2 sessions that ran in 2021.

View the full Cambridge exam timetable →

What's the difference between AS and full A-Level for Further Mathematics?
Cambridge International AS Level uses Papers 1 and 2 only and can be taken as a standalone qualification. Full A-Level combines AS with the A2 components (Paper 2), is worth double the UCAS points and is what most universities require for entry to Further Mathematics-related degrees. All 4 papers for 9231 are available in this 2021 bundle.
What's the difference between paper variants like 11, 12 and 13?
Cambridge produces several variant papers from each paper to manage exam logistics across global time zones. Papers 11, 12 and 13 are three different versions of Paper 1; papers 21, 22 and 23 are three versions of Paper 2; and so on. Your school assigns you to one version based on your administrative zone. Each version of the paper usually has its own questions, not duplicated from the others, with the specific questions varying between versions. Cambridge calibrates all variant papers to equivalent overall difficulty and sets a separate grade threshold for each one. When you can, practise past papers from more than one version rather than only your zone's — you'll meet a broader range of the syllabus that way.
Is one A-Level paper variant harder than another?
There's no single version of the paper that's reliably easier than the others. Cambridge writes each variant paper to the same overall difficulty standard, and per-paper grade thresholds are set after marking to absorb any small variation in difficulty between the three versions — so a slightly tougher paper tends to attract a slightly lower threshold and ends up worth the same grade. You can't pick your variant paper in any case (your school's administrative zone determines it), so the most productive way to handle this concern is to practise across multiple versions and treat every paper as if it could be the toughest one.
Are mark schemes, examiner reports and grade thresholds free to download?
Yes — and LumiExams makes them easy to find. The 9231 question papers (QP), mark schemes (MS), examiner reports (ER) and grade thresholds (GT) are all © Cambridge Assessment International Education, published after each session as free educational materials. LumiExams does not own these documents — we organise the official Cambridge PDFs by year and session so you can study with the same materials your teachers and exam officers reference, and we link directly to each file. For official syllabuses, registration and assessment policy, refer to cambridgeinternational.org.
How should I use the 2021 Further Mathematics papers for revision?

Work through one full paper under timed exam conditions, mark it with the official mark scheme, then read the examiner report for that session. The examiner report tells you exactly which questions students lost the most marks on and why — that's where the highest-leverage revision wins are. Cambridge updates each syllabus in roughly 3-year cycles, so the 2021 papers reflect the syllabus version that was active in 2021. Before relying on these for the year you're sitting, confirm the active syllabus on Cambridge International's official 9231 page.

Cambridge International 9231 syllabus page →