2020

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

Mathematics 9709/53 Oct/Nov 2020 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 3, Oct/Nov 2020: 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
41

File names: 9709_w20_qp_53 ยท 9709_w20_ms_53

Grade thresholds for 9709/53 Oct/Nov 2020

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
4135282115

Topics in this paper

Which syllabus chapters 9709/53 Oct/Nov 2020 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Probability426
Representation of Data110
Random Variables18
Permutations and Combinations16

Questions in 9709/53 Oct/Nov 2020

  1. Question 1Probability ยท 6 marks

    The times taken to swim 100 metres by members of a large swimming club have a normal distribution with mean 62 seconds and standard deviation 5 seconds. (a) Find the probability that a randomly chosen member of the club takes โ€ฆ

  2. Question 2Probability ยท 5 marks

    An ordinary fair die is thrown until a 6 is obtained. (a) Find the probability that obtaining a 6 takes more than 8 throws. Two ordinary fair dice are thrown together until a pair of 6s is obtained. The number โ€ฆ

  3. Question 3Permutations and Combinations ยท 6 marks

    A committee of 6 people is to be chosen from 9 women and 5 men. (a) Find the number of ways in which the 6 people can be chosen if there must be more women than men on the committee. โ€ฆ

  4. Question 4Probability ยท 8 marks

    The 13 00 train from Jahor to Keman runs every day. The probability that the train arrives late in Keman is 0.35. (a) For a random sample of 7 days, ๏ฌnd the probability that the train arrives late on fewer โ€ฆ

  5. Question 5Probability ยท 7 marks

    The 8 letters in the word RESERVED are arranged in a random order. (a) Find the probability that the arrangement has V as the ๏ฌrst letter and E as the last letter. (b) Find the probability that the arrangement has โ€ฆ

  6. Question 6Random Variables ยท 8 marks

    Three coins A, B and C are each thrown once. ยณ Coins A and B are each biased so that the probability of obtaining a head is โ€ฆ

  7. Question 7Representation of Data ยท 10 marks

    A particular piece of music was played by 91 pianists and for each pianist, the number of incorrect notes was recorded. The results are summarised in the table. Number of incorrect notes โ€ฆ

Other Mathematics papers from Oct/Nov 2020

Questions students ask

Where can I get the 9709/53 Oct/Nov 2020 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w20_ms_53), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/53 Oct/Nov 2020?
41 marks out of 50, a C needed 28.
Which topics came up in 9709/53 Oct/Nov 2020?
Mostly Probability, Representation of Data, Random Variables. The full list is in the table above.
Do I need an account to open 9709/53 Oct/Nov 2020?
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.