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CAIE 9231 Further Mathematics Paper 4 Further Probability & Statistics Past Papers

Cambridge International (CAIE) AS & A Level 9231 Further Mathematics Paper 4 Further Probability & Statistics: written paper, 50 marks, 90 minutes. 29 past papers from 2020 to 2025; 23 can be taken online.

Take a past paper online — free once

Open any series below, then choose “Take this paper online”.

Variants: one series has several variants (v1/v2/v3); the last digit of the paper number is the variant, e.g. Paper 41 = v1, Paper 42 = v2, Paper 43 = v3. The Feb/March series usually has v2 only. Variants contain different questions of similar difficulty.

All series

SeriesCodeMaxQsThresholds (min marks)Online
May/June 2025 v19231/41/M/J/2550–A 34 / C 22 / E 10soon
May/June 2025 v29231/42/M/J/2550–A 34 / C 22 / E 10soon
May/June 2025 v39231/43/M/J/25506A 40 / C 25 / E 12online
May/June 2025 v4–506A 43 / C 33 / E 20online
Oct/Nov 2024 v19231/41/O/N/2450–A 41 / C 30 / E 19soon
Oct/Nov 2024 v29231/42/O/N/2450–A 41 / C 30 / E 19soon
Oct/Nov 2024 v39231/43/O/N/2450–A 41 / C 30 / E 19soon
May/June 2024 v19231/41/M/J/24507A 41 / C 26 / E 13online
May/June 2024 v29231/42/M/J/24507A 41 / C 26 / E 13online
May/June 2024 v39231/43/M/J/24506A 41 / C 26 / E 13online
Oct/Nov 2023 v19231/41/O/N/23506A 38 / C 27 / E 14online
Oct/Nov 2023 v29231/42/O/N/23505A 42 / C 32 / E 20online
Oct/Nov 2023 v39231/43/O/N/23506A 38 / C 27 / E 14online
May/June 2023 v19231/41/M/J/23506A 42 / C 30 / E 16online
May/June 2023 v29231/42/M/J/23506A 42 / C 30 / E 16online
May/June 2023 v39231/43/M/J/23506A 42 / C 30 / E 16online
Oct/Nov 2022 v19231/41/O/N/22506A 38 / C 26 / E 12online
Oct/Nov 2022 v29231/42/O/N/2250–A 38 / C 26 / E 12soon
Oct/Nov 2022 v39231/43/O/N/22506A 38 / C 26 / E 12online
May/June 2022 v19231/41/M/J/22506A 40 / C 28 / E 14online
May/June 2022 v29231/42/M/J/22506A 40 / C 28 / E 14online
May/June 2022 v39231/43/M/J/22506A 40 / C 28 / E 14online
Oct/Nov 2021 v19231/41/O/N/21506A 35 / C 23 / E 8online
Oct/Nov 2021 v29231/42/O/N/21506A 35 / C 23 / E 8online
Oct/Nov 2021 v39231/43/O/N/21506A 35 / C 23 / E 8online
May/June 2021 v19231/41/M/J/21506A 36 / C 25 / E 12online
May/June 2021 v29231/42/M/J/21506A 36 / C 25 / E 12online
May/June 2021 v39231/43/M/J/21506A 36 / C 25 / E 12online
Oct/Nov 2020 v39231/43/O/N/20506A 34 / C 22 / E 8online

Grade thresholds (average of latest 8 series)

Grade thresholds are the minimum raw marks published by the exam board for each series and variant. A single paper has grades A–E (A–G for IGCSE); A* is awarded only on the whole-subject total.

GradeABCDE
Min marks / 503934272014
Percent78%67%54%41%28%

Topic coverage (all verified papers)

4.2 Inference using normal and t-distributions342 marks · 30%
4.1 Continuous random variables215 marks · 19%
4.5 Probability generating functions211 marks · 18%
4.4 Non-parametric tests199 marks · 17%
4.3 χ²-tests182 marks · 16%
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