Cambridge A Level · 9709 · Paper 5 · Probability & Statistics 1
Mathematics 9709/52 May/June 2025 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 2, May/June 2025: the question paper and its official mark scheme, 7 questions worth 50 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 7
- Marks
- 50
- Grade A from
- 39
File names: 9709_s25_qp_52 · 9709_s25_ms_52
Grade thresholds for 9709/52 May/June 2025
The minimum raw marks Cambridge set for each grade on this component (out of 50). Thresholds change every session and variant, so always compare your score with the paper you actually sat.
| A | B | C | D | E |
|---|---|---|---|---|
| 39 | 33 | 26 | 18 | 11 |
Topics in this paper
Which syllabus chapters 9709/52 May/June 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Representation of Data | 2 | 22 |
| Probability | 3 | 16 |
| Permutations and Combinations | 1 | 9 |
| Random Variables | 1 | 3 |
Questions in 9709/52 May/June 2025
- Question 1
Rachel has three coins. The first coin is biased so that the probability of obtaining a head when it is thrown is 3 1. The second coin is biased so that the probability of obtaining a head when it is …
- Question 2
In Millford, 70% of the residents own a bicycle. A random sample of 160 residents is selected. Use a suitable approximation to find the probability that more than 120 of these residents own a bicycle.
- Question 3
A bag contains 4 blue marbles and 12 red marbles. One marble is selected at random from the bag. If this marble is blue, it is replaced in the bag, but if it is red, it is not replaced. A …
- Question 4
Vehicles approaching a certain road junction from Bromley must go either left, right or straight on. Over time, it is known that 30% turn left, 25% turn right and 45% go straight on. The driver of each vehicle chooses a …
- Question 5
The times taken, t minutes, by 300 students to travel to Hollowton College are recorded. The results are summarised in the table below. Time (t minutes) …
- Question 6
(a) Find the number of different ways in which the 10 letters in the word AMALGAMATE can be arranged so that there is an M at the beginning, an M at the end and no As are together. (b) Find …
- Question 7
Kestrels are birds whose adult wingspans are normally distributed with mean 74.8 cm and standard deviation 3.2 cm. A random sample of 120 adult kestrels is selected. (a) How many of these 120 adult kestrels would you expect to have …
Other Mathematics papers from May/June 2025
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- 9709/35 Pure Mathematics 3
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- 9709/51 Probability & Statistics 1
- 9709/53 Probability & Statistics 1
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