Cambridge A Level · 9709 · Paper 5 · Probability & Statistics 1
Mathematics 9709/53 May/June 2025 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 3, 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
- 42
File names: 9709_s25_qp_53 · 9709_s25_ms_53
Grade thresholds for 9709/53 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 |
|---|---|---|---|---|
| 42 | 36 | 29 | 21 | 14 |
Topics in this paper
Which syllabus chapters 9709/53 May/June 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Representation of Data | 3 | 19 |
| Probability | 3 | 19 |
| Permutations and Combinations | 1 | 12 |
Questions in 9709/53 May/June 2025
- Question 1
For a set of 40 values of x, it is found that …
- Question 2
At a large college, all students who study Science also study exactly one of Art or Drama or Music. 20% of these students study Art, 45% study Drama and 35% study Music. (a) 3 students are selected at random from …
- Question 3
A fair six-sided dice with faces labelled …
- Question 4
84 people attempt a particular puzzle. The times taken, in minutes, to complete the puzzle are recorded. These times are represented in the cumulative frequency graph below. …
- Question 5
Bag A contains 6 red marbles, 5 blue marbles and 1 green marble. Bag B contains 5 red marbles and 3 blue marbles. A marble is chosen at random from bag A and placed in bag B. A marble is …
- Question 6
A company sells bags of pasta. The masses of large bags of pasta are normally distributed with mean 2.50 kg and standard deviation 0.12 kg. (a) Find the probability that the mass of pasta in a randomly chosen large bag …
- Question 7
A set of friends consists of 7 men and 4 women. Three of the men are brothers: Ali, Ben and Charlie. (a) Find the number of different arrangements of the 7 men in a line in which Ali and Ben …
Other Mathematics papers from May/June 2025
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- 9709/41 Mechanics
- 9709/42 Mechanics
- 9709/43 Mechanics
- 9709/45 Mechanics
- 9709/51 Probability & Statistics 1
- 9709/52 Probability & Statistics 1
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