Cambridge A-Level Further Probability & Statistics (9231 Paper 4) Past Papers
Every year of Further Probability & Statistics in one place. This page collects the 9231 Paper 4 question papers and mark schemes for all variants, from 2020 to 2025 — so you can work through one component start to finish instead of hunting session by session.
Further Probability & Statistics is one of the two applied options; it can count toward either the AS Level or the full A Level.
What's on 9231 Paper 4: Further Probability & Statistics?
Further Probability & Statistics is a 1h 30min paper worth 50 marks, made up of the 5 syllabus areas below. Further Probability & Statistics is one of the two applied options; it can count toward either the AS Level or the full A Level.
Continuous random variables
Probability density functions, cumulative distribution functions, and expectation.
Inference using the t-distribution
Confidence intervals and hypothesis tests for a mean using the normal and t-distributions.
Chi-squared tests
Goodness-of-fit tests and tests for independence in a contingency table.
Non-parametric tests
The sign test and the Wilcoxon signed-rank and rank-sum tests.
Probability generating functions
Forming and using probability generating functions to find the mean and variance.
AS Level or A Level? AS & A Level
Further Probability & Statistics is one of the two applied options. With Further Pure Mathematics 1 it forms an AS Level, and it can also count toward the full A Level.
Centres choose the component combination - if you are unsure which papers your route needs, check with your school's exams officer.
When is this paper next sat?
Cambridge examines A-Level Mathematics in the June and October/November series each year (with a February/March series in some countries). The next sitting is the October/November 2026 series.
Further Probability & Statistics (9231/4) past papers by year
2025
2024
2023
2022
2021
2020
How to revise with Further Probability & Statistics past papers
Work through one component at a time
Doing five years of Further Probability & Statistics back-to-back trains the specific question styles and topic weighting of this one paper far better than jumping between components. Patterns repeat - you will start to recognise them.
Time yourself at 1h 30min
Sit each paper at the real duration. Pacing is a skill in itself, and Further Probability & Statistics rewards finishing every question with time to check.
Mark with the matching scheme
Self-mark with the mark scheme for the same session and variant. Note where you lost method marks versus accuracy marks - they need different fixes.
Practise across variants
Variants 1, 2 and 3 test the same syllabus at equivalent difficulty. Working all three for a year gives you three fresh sittings of the same paper.
Tip: open a question paper and its mark scheme side-by-side in our free Exam Hub.
Other Further Mathematics 9231 papers
9231 Paper 4 — Frequently asked questions
What topics are on 9231 Paper 4 (Further Probability & Statistics)?
What is the difference between the 9231/41, /42 and /43 variants?
Where can I get the mark schemes for Further Probability & Statistics?
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