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2023

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

Mathematics 9709/51 May/June 2023 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 1, May/June 2023: 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
35
Open the question paperMark scheme

File names: 9709_s23_qp_51 ยท 9709_s23_ms_51

Grade thresholds for 9709/51 May/June 2023

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
3530241913

Topics in this paper

Which syllabus chapters 9709/51 May/June 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Probability325
Representation of Data320
Permutations and Combinations15

Questions in 9709/51 May/June 2023

  1. Question 1Representation of Data ยท 4 marks

    A summary of 50 values of x gives โ€ฆ

  2. Question 2Permutations and Combinations ยท 5 marks

    (a) Find the number of ways in which a committee of 6 people can be chosen from 6 men and 8 women if it must include 3 men and 3 women. A di๏ฌ€erent committee of 6 people is to be โ€ฆ

  3. Question 3Probability ยท 6 marks

    (a) Find the number of di๏ฌ€erent arrangements of the 8 letters in the word COCOONED. (b) Find the number of di๏ฌ€erent arrangements of the 8 letters in the word COCOONED in which the ๏ฌrst letter is O and the last โ€ฆ

  4. Question 4Representation of Data ยท 9 marks

    A mathematical puzzle is given to a large number of students. The times taken to complete the puzzle are normally distributed with mean 14.6 minutes and standard deviation 5.2 minutes. (a) In a random sample of 250 of the students, โ€ฆ

  5. Question 5Representation of Data ยท 7 marks

    The populations of 150 villages in the UK, to the nearest hundred, are summarised in the table. Population โ€ฆ

  6. Question 6Probability ยท 11 marks

    Eli has four fair 4-sided dice with sides labelled โ€ฆ

  7. Question 7Probability ยท 8 marks

    A childrenโ€™s wildlife magazine is published every Monday. For the next 12 weeks it will include a model animal as a free gift. There are ๏ฌve di๏ฌ€erent models: tiger, leopard, rhinoceros, elephant and bu๏ฌ€alo, each with the same probability of โ€ฆ

Other Mathematics papers from May/June 2023

Questions students ask

Where can I get the 9709/51 May/June 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s23_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 May/June 2023?
35 marks out of 50, a C needed 24.
Which topics came up in 9709/51 May/June 2023?
Mostly Probability, Representation of Data, Permutations and Combinations. The full list is in the table above.
Do I need an account to open 9709/51 May/June 2023?
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.