2026

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

Mathematics 9709/55 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 5, May/June 2026: the question paper and its official mark scheme, 7 questions worth 50 marks. Free to open, no account needed.

Questions
7
Marks
50

File names: 9709_s26_qp_55 ยท 9709_s26_ms_55

Topics in this paper

Which syllabus chapters 9709/55 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Random Variables110
Permutations and Combinations110
Normal Distribution19
Binomial Distribution18
Probability15
Linear Transformation of Data14
Representation of Data14

Questions in 9709/55 May/June 2026

  1. Question 1Linear Transformation of Data ยท 4 marks

    A summary of 60 values of x gives โ€ฆ

  2. Question 2Representation of Data ยท 4 marks

    The time taken, in seconds, to complete a puzzle was recorded for 160 pupils at a school. These times are summarised in the table. time taken (t seconds) โ€ฆ

  3. Question 3Probability ยท 5 marks

    For her morning break, Jules has a drink. She has tea, juice or water, with probabilities 0.2, 0.35 and 0.45 respectively. When she has tea, the probability that she has a cake is 0.25. When she has juice, the probability โ€ฆ

  4. Question 4Binomial Distribution ยท 8 marks

    In the village of Torombo, 80% of the residents shop at the local store. A random sample of 9 residents of Torombo is selected. (a) Find the probability that fewer than 7 of these 9 residents shop at the local โ€ฆ

  5. Question 5Random Variables ยท 10 marks

    Two fair 4-sided spinners each have sides labelled โ€ฆ

  6. Question 6Normal Distribution ยท 9 marks

    The masses of boxes of sweets of a certain brand are normally distributed with mean 420 grams and standard deviation 6.4 grams. (a) Find the probability that a randomly chosen box of these sweets has a mass between 412 grams โ€ฆ

  7. Question 7Permutations and Combinations ยท 10 marks

    (a) Find the number of different arrangements of the 9 letters in the word CANADIANS in which the three As are together and the two Ns are not next to each other. (b) Find the probability that a randomly chosen โ€ฆ

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/55 May/June 2026 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_55), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/55 May/June 2026?
Mostly Random Variables, Permutations and Combinations, Normal Distribution. The full list is in the table above.
Do I need an account to open 9709/55 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.