2025

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.

ABCDE
4137292215

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.

ChapterQuestionsMarks
Probability427
Representation of Data217
Random Variables16

Questions in 9709/51 Oct/Nov 2025

  1. Question 1Random Variables ยท 6 marks

    The random variable X takes the value x with probability kx2, where k is a constant and x takes the values โ€ฆ

  2. Question 2Probability ยท 4 marks

    A fair six-sided dice with faces labelled โ€ฆ

  3. Question 3Representation of Data ยท 8 marks

    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 โ€ฆ

  4. Question 4Probability ยท 5 marks

    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 โ€ฆ

  5. Question 5Probability ยท 8 marks

    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 โ€ฆ

  6. Question 6Representation of Data ยท 9 marks

    A factory produces chocolate bars. The weights of the bars are normally distributed with mean 155 g and standard deviation โ€ฆ

  7. Question 7Probability ยท 10 marks

    (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 โ€ฆ

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/51 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_ms_51), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/51 Oct/Nov 2025?
41 marks out of 50, a C needed 29.
Which topics came up in 9709/51 Oct/Nov 2025?
Mostly Probability, Representation of Data, Random Variables. The full list is in the table above.
Do I need an account to open 9709/51 Oct/Nov 2025?
No. Every paper opens for free without signing in. A free account also saves your pen marks and records your score against the grade thresholds.