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CAIE 9231 Further Mathematics Paper 1 Further Pure Mathematics 1 Past Papers

Cambridge International (CAIE) AS & A Level 9231 Further Mathematics Paper 1 Further Pure Mathematics 1: written paper, 75 marks, 120 minutes. 28 past papers from 2020 to 2025; 24 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 11 = v1, Paper 12 = v2, Paper 13 = 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 v19231/11/M/J/2575–A 52 / C 33 / E 20soon
May/June 2025 v29231/12/M/J/25757A 52 / C 33 / E 20online
May/June 2025 v39231/13/M/J/25757A 52 / C 35 / E 20online
Oct/Nov 2024 v19231/11/O/N/24757A 49 / C 33 / E 20online
Oct/Nov 2024 v29231/12/O/N/2475–A 49 / C 33 / E 20soon
Oct/Nov 2024 v39231/13/O/N/24757A 49 / C 33 / E 20online
May/June 2024 v19231/11/M/J/24757A 53 / C 34 / E 20online
May/June 2024 v29231/12/M/J/24757A 53 / C 34 / E 20online
May/June 2024 v39231/13/M/J/2475–A 53 / C 33 / E 20soon
Oct/Nov 2023 v19231/11/O/N/23757A 50 / C 34 / E 22online
Oct/Nov 2023 v29231/12/O/N/2375–A 50 / C 34 / E 22soon
Oct/Nov 2023 v39231/13/O/N/23757A 50 / C 34 / E 22online
May/June 2023 v19231/11/M/J/23757A 56 / C 39 / E 24online
May/June 2023 v29231/12/M/J/23757A 56 / C 39 / E 24online
May/June 2023 v39231/13/M/J/23757A 52 / C 37 / E 20online
Oct/Nov 2022 v19231/11/O/N/22757A 46 / C 31 / E 18online
Oct/Nov 2022 v29231/12/O/N/22757A 46 / C 31 / E 18online
Oct/Nov 2022 v39231/13/O/N/22757A 46 / C 31 / E 18online
May/June 2022 v19231/11/M/J/22757A 51 / C 35 / E 18online
May/June 2022 v29231/12/M/J/22757A 51 / C 35 / E 18online
May/June 2022 v39231/13/M/J/22757A 54 / C 37 / E 20online
Oct/Nov 2021 v19231/11/O/N/21757A 42 / C 27 / E 14online
Oct/Nov 2021 v29231/12/O/N/21757A 42 / C 27 / E 14online
Oct/Nov 2021 v39231/13/O/N/21757A 42 / C 27 / E 14online
May/June 2021 v19231/11/M/J/21757A 53 / C 35 / E 18online
May/June 2021 v29231/12/M/J/21757A 53 / C 35 / E 18online
May/June 2021 v39231/13/M/J/21757A 53 / C 35 / E 18online
Oct/Nov 2020 v39231/13/O/N/20757A 42 / C 28 / E 14online

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 / 755040332619
Percent66%54%44%35%26%

Topic coverage (all verified papers)

1.2 Rational functions and graphs346 marks · 19%
1.4 Matrices313 marks · 17%
1.6 Vectors312 marks · 17%
1.5 Polar coordinates312 marks · 17%
1.3 Summation of series194 marks · 11%
1.1 Roots of polynomial equations193 marks · 11%
1.7 Proof by induction136 marks · 8%
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