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Binomial distribution past paper questions

Statistics 9709 · Discrete random variables. Recognise binomial models; calculate binomial probabilities, expectation np and variance np(1-p).

In Cambridge A Level Statistics 9709, Binomial distribution came up in 42 of the 42 papers on Paperstreak, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Geometric distribution, Normal approximation to the binomial, Addition, multiplication and tree diagrams, Normal probabilities and standardisation.

48 questions, newest first

1. 9709/51/O/N/25 Question 2 part (b) · 3 marks
2. 9709/51/O/N/25 Question 5 part (a) · 3 marks
3. 9709/52/O/N/25 Question 6 parts (a) (b) · 4 marks
4. 9709/53/O/N/25 Question 1 part (b) · 3 marks
5. 9709/51/M/J/25 Question 4 part (b) · 3 marks
6. 9709/52/M/J/25 Question 4 part (c) · 2 marks
7. 9709/52/M/J/25 Question 7 part (c) · 3 marks
8. 9709/53/M/J/25 Question 2 · 5 marks
9. 9709/53/M/J/25 Question 3 part (c) · 3 marks
10. 9709/52/F/M/25 Question 2 part (b) · 3 marks
11. 9709/51/O/N/24 Question 6 part (b) · 3 marks
12. 9709/52/O/N/24 Question 1 part (d) · 3 marks
13. 9709/52/O/N/24 Question 7 part (c) · 3 marks
14. 9709/53/O/N/24 Question 5 part (a) · 3 marks
15. 9709/51/M/J/24 Question 4 part (c) · 3 marks
16. 9709/51/M/J/24 Question 5 part (a) · 3 marks
17. 9709/52/M/J/24 Question 6 part (b) · 3 marks
18. 9709/53/M/J/24 Question 5 part (c) · 3 marks
19. 9709/52/F/M/24 Question 2 parts (a) (c) · 6 marks
20. 9709/51/O/N/23 Question 2 part (c) · 3 marks
21. 9709/52/O/N/23 Question 2 part (b) · 3 marks
22. 9709/53/O/N/23 Question 5 part (b) · 3 marks
23. 9709/51/M/J/23 Question 6 part (a) · 2 marks
24. 9709/51/M/J/23 Question 7 part (b) · 3 marks
25. 9709/52/M/J/23 Question 4 part (d) · 3 marks
26. 9709/53/M/J/23 Question 6 part (b) · 3 marks
27. 9709/52/F/M/23 Question 3 part (a) · 3 marks
28. 9709/51/O/N/22 Question 2 part (a) · 3 marks
29. 9709/52/O/N/22 Question 6 part (a) · 3 marks
30. 9709/53/O/N/22 Question 5 part (a) · 3 marks
31. 9709/51/M/J/22 Question 4 part (c) · 3 marks
32. 9709/52/M/J/22 Question 5 part (a) · 3 marks
33. 9709/53/M/J/22 Question 4 part (c) · 4 marks
34. 9709/52/F/M/22 Question 2 · 6 marks
35. 9709/51/O/N/21 Question 7 part (a(ii)) · 3 marks
36. 9709/52/O/N/21 Question 5 parts (a) (c) · 5 marks
37. 9709/53/O/N/21 Question 6 part (c) · 3 marks
38. 9709/51/M/J/21 Question 6 part (a) · 3 marks
39. 9709/52/M/J/21 Question 5 part (b) · 3 marks
40. 9709/53/M/J/21 Question 7 part (b(i)) · 3 marks
41. 9709/52/F/M/21 Question 7 part (b(i)) · 3 marks
42. 9709/51/O/N/20 Question 3 part (b) · 3 marks
43. 9709/52/O/N/20 Question 1 part (b) · 3 marks
44. 9709/53/O/N/20 Question 4 part (a) · 3 marks
45. 9709/51/M/J/20 Question 3 part (b) · 3 marks
46. 9709/52/M/J/20 Question 7 part (a) · 3 marks
47. 9709/53/M/J/20 Question 2 part (b) · 3 marks
48. 9709/52/F/M/20 Question 5 part (a) · 3 marks

More in Discrete random variables: Probability distributions, Expectation and variance, Geometric distribution.

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