Cambridge A Level · 9709 · Paper 5 · Probability & Statistics 1
Mathematics 9709/51 May/June 2025 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 1, May/June 2025: the question paper and its official mark scheme, 6 questions worth 50 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 6
- Marks
- 50
- Grade A from
- 41
File names: 9709_s25_qp_51 · 9709_s25_ms_51
Grade thresholds for 9709/51 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 |
|---|---|---|---|---|
| 41 | 35 | 28 | 21 | 14 |
Topics in this paper
Which syllabus chapters 9709/51 May/June 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Probability | 4 | 31 |
| Representation of Data | 1 | 12 |
| Permutations and Combinations | 1 | 7 |
Questions in 9709/51 May/June 2025
- Question 1
The masses of the bags of rice made by a company are normally distributed with mean n kg and standard deviation 0.14 kg. The probability that the mass of a randomly chosen bag of this rice is less than 1.48 …
- Question 2
(a) Find the number of different arrangements of the 8 letters in the word KANGAROO in which the two As are together and the two Os are not together. A fair 8-sided dice has faces labelled …
- Question 3
Last Sunday, teams of runners took part in a charity event. The time taken, in seconds, to run 50 m was recorded, correct to 1 decimal place, for each runner. The times recorded for 11 runners from each of the …
- Question 4
Every Saturday, a particular community holds a ‘Puzzle’ event to raise money for a new Leisure Centre. Competitors attempt to solve a puzzle as quickly as possible. Last Saturday, 600 competitors took part. The times taken to complete the puzzle …
- Question 5
In a group of 20 musicians, there are 9 guitarists, 6 pianists and 5 drummers. 6 musicians are selected from these 20 to perform at a concert. (a) Find the number of different ways in which the 6 musicians can …
- Question 6
A bag contains 10 marbles, of which 4 are red and 6 are blue. Four marbles are selected from the bag at random, without replacement. The random variable X denotes the number of blue marbles selected. (a) Show that …
Other Mathematics papers from May/June 2025
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- 9709/52 Probability & Statistics 1
- 9709/53 Probability & Statistics 1
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