Cambridge A Level ยท 9709 ยท Paper 5 ยท Probability & Statistics 1
Mathematics 9709/51 Oct/Nov 2025 past paper
Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 1, 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
- 41
File names: 9709_w25_qp_51 ยท 9709_w25_ms_51
Grade thresholds for 9709/51 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 |
|---|---|---|---|---|
| 41 | 37 | 29 | 22 | 15 |
Topics in this paper
Which syllabus chapters 9709/51 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Probability | 4 | 27 |
| Representation of Data | 2 | 17 |
| Random Variables | 1 | 6 |
Questions in 9709/51 Oct/Nov 2025
- Question 1
The random variable X takes the value x with probability kx2, where k is a constant and x takes the values โฆ
- Question 2
A fair six-sided dice with faces labelled โฆ
- Question 3
The back-to-back stem-and-leaf diagram shows the annual salaries, in dollars, of 27 employees at each of two companies, Browns and Greens. Browns Greens โฆ
- Question 4
Bag A contains 8 red marbles and 3 blue marbles. Bag B contains 4 red marbles and 1 blue marble. A marble is chosen at random from bag A. If the marble chosen is red, it is discarded. If the โฆ
- Question 5
On any given day, Cooper either wears a blue jumper or he wears a green jumper or he does not wear a jumper. The probability that he wears a blue jumper is 0.6 and the probability that he wears a โฆ
- Question 6
A factory produces chocolate bars. The weights of the bars are normally distributed with mean 155 g and standard deviation โฆ
- Question 7
(a) How many different arrangements are there of the 10 letters in the word SEYCHELLES? (b) How many different arrangements are there of the 10 letters in the word SEYCHELLES in which there are exactly two letters between the Ss โฆ
Other Mathematics papers from Oct/Nov 2025
- 9709/11 Pure Mathematics 1
- 9709/12 Pure Mathematics 1
- 9709/13 Pure Mathematics 1
- 9709/15 Pure Mathematics 1
- 9709/31 Pure Mathematics 3
- 9709/32 Pure Mathematics 3
- 9709/33 Pure Mathematics 3
- 9709/35 Pure Mathematics 3
- 9709/41 Mechanics
- 9709/42 Mechanics
- 9709/43 Mechanics
- 9709/45 Mechanics
- 9709/52 Probability & Statistics 1
- 9709/53 Probability & Statistics 1
- 9709/55 Probability & Statistics 1