Cambridge A Level · 9709 · Paper 5 · Probability & Statistics 1

Mathematics 9709/52 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 2, 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: 38

Open the question paper Mark scheme

File names: 9709_w25_qp_52 · 9709_w25_ms_52

Grade thresholds for 9709/52 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
38	33	25	18	10

Topics in this paper

Which syllabus chapters 9709/52 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.

Chapter	Questions	Marks
Probability	4	29
Representation of Data	2	14
Random Variables	1	7

Questions in 9709/52 Oct/Nov 2025

Question 1Probability · 3 marks
A coin is biased so that the probability of obtaining a head when it is thrown is 0.4. The coin is thrown repeatedly until the first head is obtained. (a) Find the probability that the first head is obtained on …
Question 2Random Variables · 7 marks
Kayla has a bag containing 3 red marbles, 1 blue marble and 2 green marbles. She selects one marble from the bag at random and does not replace it in the bag. She repeats this process until she obtains a …
Question 3Representation of Data · 7 marks
The heights of the 124 Senior members of the Giraffes basketball club are normally distributed with mean 187.4 cm and standard deviation 6.4 cm. (a) How many members of the club would you expect to have heights within 5 cm …
Question 4Probability · 7 marks
Gio has a pack of 18 cards. Ivy has a pack of x cards. Each card has a picture of a bus or a car or a train. The number of cards with each picture in the two packs is …
Question 5Representation of Data · 7 marks
The times of 240 competitors taking part in an event are recorded correct to the nearest minute. The results are summarised in the table. Time (minutes) …
Question 6Probability · 9 marks
For a randomly chosen person, their next birthday is equally likely to occur on any day of the week, independently of any other person’s birthday. (a) Find the probability that, out of 10 randomly chosen people, none of them will …
Question 7Probability · 10 marks
(a) Find the number of different arrangements of the 10 letters in the word ZOOLOGICAL in which the three Os are together and the two Ls are not next to each other. (b) Find the number of different arrangements of …

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/52 Oct/Nov 2025 mark scheme?

Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_ms_52), and on a wide screen it sits beside the question you are reading.

What was the grade threshold for an A in 9709/52 Oct/Nov 2025?

38 marks out of 50, a C needed 25.

Which topics came up in 9709/52 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 9709/52 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.