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

Mathematics 9709/51 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 1, 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_51 · 9709_s26_ms_51

Topics in this paper

Which syllabus chapters 9709/51 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

Chapter	Questions	Marks
Normal Distribution	1	12
Permutations and Combinations	1	10
Representation of Data	1	9
Geometric Distribution	1	8
Random Variables	1	6
Probability	1	5

Questions in 9709/51 May/June 2026

Question 1Random Variables · 6 marks
A fair red 4-sided spinner has sides numbered …
Question 2Probability · 5 marks
At a certain college, each of the 150 students studies exactly one of Art, Business or Drama. The numbers of male and female students studying each of these subjects is given in the table. Art Business Drama male …
Question 3Representation of Data · 9 marks
Aldeny and Farnlee are two ski resorts. The table shows the number of centimetres of snow that fell each week for the first 15 weeks of last year. Aldeny …
Question 4Geometric Distribution · 8 marks
Jong has a bag containing 5 red marbles and 7 blue marbles. He chooses marbles from the bag one at a time at random. Each time he replaces the marble in the bag. (a) Find the probability that the first …
Question 5Permutations and Combinations · 10 marks
Three letters are chosen at random from the 9 letters in the word RETRIEVES. (a) Find the probability that at least one of the letters is an E. (b) Find the number of different arrangements of the 9 letters in …
Question 6Normal Distribution · 12 marks
The heights of adult Indian elephants are normally distributed with mean 2.74 m and standard deviation …

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/51 May/June 2026 mark scheme?

Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_51), and on a wide screen it sits beside the question you are reading.

Which topics came up in 9709/51 May/June 2026?

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

Do I need an account to open 9709/51 May/June 2026?

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.