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Binomial expansion for any rational n past paper questions

Pure Maths 3 9709 · Algebra. Expand (1 + x)^n for rational n and |x| < 1, adapted forms such as (2 - x)^-1, and the range of validity.

In Cambridge A Level Pure Maths 3 9709, Binomial expansion for any rational n came up in 24 of the 42 papers on Paperstreak, for about 5 marks a paper when it does. It last came up in October/November 2025.

Often set with Partial fractions.

24 questions, newest first

1. 9709/31/O/N/25 Question 10 part (b) · 5 marks
2. 9709/32/M/J/25 Question 2 · 5 marks
3. 9709/33/M/J/25 Question 7 parts (b) (c) · 5 marks
4. 9709/31/O/N/24 Question 7 part (b) · 4 marks
5. 9709/32/O/N/24 Question 1 · 4 marks
6. 9709/33/O/N/24 Question 8 parts (b) (c) · 5 marks
7. 9709/31/M/J/24 Question 1 · 4 marks
8. 9709/32/F/M/24 Question 2 · 5 marks
9. 9709/31/O/N/23 Question 10 parts (b) (c) · 6 marks
10. 9709/33/O/N/23 Question 9 parts (b) (c) · 6 marks
11. 9709/31/M/J/23 Question 3 · 4 marks
12. 9709/33/M/J/23 Question 10 part (b) · 5 marks
13. 9709/31/O/N/22 Question 10 part (b) · 5 marks
14. 9709/33/O/N/22 Question 2 · 5 marks
15. 9709/31/M/J/22 Question 2 · 5 marks
16. 9709/33/M/J/22 Question 7 part (b) · 5 marks
17. 9709/31/O/N/21 Question 6 · 6 marks
18. 9709/32/M/J/21 Question 9 part (b) · 5 marks
19. 9709/33/M/J/21 Question 1 · 4 marks
20. 9709/31/O/N/20 Question 9 part (b) · 5 marks
21. 9709/32/O/N/20 Question 2 · 5 marks
22. 9709/33/O/N/20 Question 9 part (b) · 5 marks
23. 9709/31/M/J/20 Question 2 · 5 marks
24. 9709/32/F/M/20 Question 9 part (b) · 5 marks

More in Algebra: Modulus, Polynomial division, Factor and remainder theorems, Partial fractions.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.