CAIE 9231 Further Mathematics Past Papers

Cambridge International (CAIE) AS & A Level 9231 Further Mathematics: 4 papers, 115 past papers from 2020 to 2025 (including v1–v3 variants); 92 can be taken online on Sagacia.

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Papers

Paper	Type	Marks	Minutes	Papers	Online
Paper 1 Further Pure Mathematics 1	written	75	120	28	24
Paper 2 Further Pure Mathematics 2	written	75	120	29	20
Paper 3 Further Mechanics	written	50	90	29	25
Paper 4 Further Probability & Statistics	written	50	90	29	23

Past papers by series

Gold = available online; grey = coming soon. Click for the paper page.

Series	Paper 1	Paper 2	Paper 3	Paper 4
May/June 2025	v1 v2 v3	v1 v2 v3 v4	v1 v2 v3 v4	v1 v2 v3 v4
Oct/Nov 2024	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
May/June 2024	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
Oct/Nov 2023	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
May/June 2023	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
Oct/Nov 2022	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
May/June 2022	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
Oct/Nov 2021	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
May/June 2021	v1 v2 v3	v1 v2 v3	v1 v2 v3	v1 v2 v3
Oct/Nov 2020	v3	v3	v3	v3

Grade threshold overview

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. The table averages the latest 8 series (all variants).

Paper	Max	A	B	C	D	E
Paper 1 Further Pure Mathematics 1	75	50 (66%)	40 (54%)	33 (44%)	26 (35%)	19 (26%)
Paper 2 Further Pure Mathematics 2	75	64 (85%)	54 (72%)	47 (62%)	39 (51%)	30 (40%)
Paper 3 Further Mechanics	50	28 (57%)	22 (43%)	18 (36%)	14 (28%)	10 (20%)
Paper 4 Further Probability & Statistics	50	39 (78%)	34 (67%)	27 (54%)	20 (41%)	14 (28%)

Topic coverage (share of marks)

Based on fully verified past papers, sorted by share of marks.

Paper 1 Further Pure Mathematics 1

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%

Paper 2 Further Pure Mathematics 2

2.6 Differential equations352 marks · 23%

2.4 Integration328 marks · 22%

2.2 Matrices273 marks · 18%

2.1 Hyperbolic functions229 marks · 15%

2.5 Complex numbers179 marks · 12%

2.3 Differentiation139 marks · 9%

Paper 3 Further Mechanics

3.3 Circular motion309 marks · 25%

3.1 Motion of a projectile231 marks · 19%

3.6 Momentum194 marks · 16%

3.2 Equilibrium of a rigid body187 marks · 15%

3.5 Linear motion under a variable force182 marks · 15%

3.4 Hooke's law145 marks · 12%

Paper 4 Further Probability & Statistics

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%