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

Mathematics 9709/53 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 3, May/June 2026: the question paper and its official mark scheme, 6 questions worth 50 marks. Free to open, no account needed.

Questions: 6
Marks: 50

Open the question paper Mark scheme

File names: 9709_s26_qp_53 · 9709_s26_ms_53

Topics in this paper

Which syllabus chapters 9709/53 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

Chapter	Questions	Marks
Normal Distribution	1	11
Permutations and Combinations	1	10
Probability	1	9
Representation of Data	1	8
Geometric Distribution	1	6
Random Variables	1	6

Questions in 9709/53 May/June 2026

Question 1Geometric Distribution · 6 marks
A fair 8-sided dice with faces labelled …
Question 2Random Variables · 6 marks
The random variable X takes the values …
Question 3Representation of Data · 8 marks
The times taken, in minutes, by 150 students to complete a particular computer game are summarised in the table. time taken (t minutes) …
Question 4Probability · 9 marks
Ebere has a coin which is biased so that the probability of obtaining a head is 4 1. She also has two bags containing coloured discs. Bag A contains 5 red discs and 3 blue discs. Bag B contains 4 …
Question 5Normal Distribution · 11 marks
The lengths of Indian cobra snakes are normally distributed with mean 125 cm and standard deviation 8 cm. (a) Find the probability that a randomly chosen Indian cobra has a length between 105 cm and 135 cm. The masses of …
Question 6Permutations and Combinations · 10 marks
(a) Find the number of different arrangements of the 10 letters in the word POSSESSION in which the four Ss are all next to each other and the two Os are not next to each other. (b) Find the number …

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/53 May/June 2026 mark scheme?

Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_53), and on a wide screen it sits beside the question you are reading.

Which topics came up in 9709/53 May/June 2026?

Mostly Normal Distribution, Permutations and Combinations, Probability. The full list is in the table above.

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