Cambridge A Level · 9709 · Paper 5 · Probability & Statistics 1
Mathematics 9709/52 May/June 2026 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 2, May/June 2026: the question paper and its official mark scheme, 7 questions worth 50 marks. Free to open, no account needed.
- Questions
- 7
- Marks
- 50
File names: 9709_s26_qp_52 · 9709_s26_ms_52
Topics in this paper
Which syllabus chapters 9709/52 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Permutations and Combinations | 2 | 10 |
| Normal Distribution | 1 | 9 |
| Random Variables | 1 | 8 |
| Binomial Distribution | 1 | 8 |
| Representation of Data | 1 | 8 |
| Probability | 1 | 7 |
Questions in 9709/52 May/June 2026
- Question 1
A club has 15 members made up of 6 men and 9 women. Every Friday a team of 5 members is selected at random to represent the club in a competition. (a) Find the probability that next Friday the team …
- Question 2
Ling has three coins. Each coin is biased so that the probability of obtaining a head is 3 1. Ling throws all three coins at the same time. The random variable X denotes the number of heads that Ling obtains. …
- Question 3
(a) Find the number of different 3-digit numbers greater than 200 that can be made from the digits …
- Question 4
Every day Haz attempts to complete a particular type of puzzle in less than 10 minutes. On any attempt, the probability that she will succeed is 0.6. (a) Find the probability that on 9 randomly chosen days, Haz completes the …
- Question 5
A box contains 3 red pens, 5 blue pens and 2 green pens. Lui chooses one pen at random from the box and keeps it. A green pen is added to the box. Mira now chooses one pen at random …
- Question 6
The heights, in cm, of the 15 rugby players in each of two teams, the Hippos and the Zebras, are shown in the following table. Hippos …
- Question 7
The lengths of the leaves of a certain type of tree are normally distributed with mean n cm and standard deviation v cm. It is known that 20% of the leaves have a length less than 3.60 cm and 70% …
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