Cambridge A Level · 9709 · Paper 5 · Probability & Statistics 1
Mathematics 9709/53 Oct/Nov 2025 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 3, Oct/Nov 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
- 45
File names: 9709_w25_qp_53 · 9709_w25_ms_53
Grade thresholds for 9709/53 Oct/Nov 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 |
|---|---|---|---|---|
| 45 | 40 | 32 | 25 | 17 |
Topics in this paper
Which syllabus chapters 9709/53 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Probability | 5 | 36 |
| Representation of Data | 1 | 10 |
| Permutations and Combinations | 1 | 4 |
Questions in 9709/53 Oct/Nov 2025
- Question 1
There are a large number of students at Greenfield college. Each student travels to college by car, by bus or on foot, independently of any other student. The probability that any student travels by car is 0.4. The probability that …
- Question 2
The Splash Club has 26 members, of whom 16 are swimmers and 10 are divers. No member is both a swimmer and a diver. The club committee consists of 6 of these 26 members. In how many ways can the …
- Question 3
(a) Find the number of different arrangements of the 9 letters in the word DAFFODILS in which there is a D at each end and the two Fs are not next to each other. (b) Find the probability that a …
- Question 4
A fair red spinner has 4 sides, numbered …
- Question 5
Chen has three boxes. Box A contains 5 counters, of which 3 are white and 2 are yellow. Box W contains 4 red marbles and 3 blue marbles. Box Y contains 5 red marbles and 3 blue marbles. Chen chooses …
- Question 6
Last Saturday, a cycling competition for teams of 11 cyclists took place. For each cyclist, the time taken to complete the course was recorded to the nearest minute. The times taken by the cyclists from two teams, the Linnets and …
- Question 7
The times taken by Obi to walk to work each morning are normally distributed with mean 14.8 minutes and standard deviation 1.5 minutes. (a) Find the probability that, on a randomly chosen day, Obi takes more than 15.6 minutes to …
Other Mathematics papers from Oct/Nov 2025
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