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2023

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

Mathematics 9709/53 May/June 2023 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 3, 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
40
Open the question paperMark scheme

File names: 9709_s23_qp_53 ยท 9709_s23_ms_53

Grade thresholds for 9709/53 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
4034272013

Topics in this paper

Which syllabus chapters 9709/53 May/June 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Representation of Data218
Probability316
Permutations and Combinations19
Random Variables17

Questions in 9709/53 May/June 2023

  1. Question 1Probability ยท 4 marks

    Two fair coins are thrown at the same time repeatedly until a pair of heads is obtained. The number of throws taken is denoted by the random variable X. (a) State the value of EX. (b) Find the probability that โ€ฆ

  2. Question 2Probability ยท 5 marks

    Anil is a candidate in an election. He received 40% of the votes. A random sample of 120 voters is chosen. Use an approximation to ๏ฌnd the probability that, of the 120 voters, between 36 and 54 inclusive voted for โ€ฆ

  3. Question 3Random Variables ยท 7 marks

    The random variable X takes the values โ€ฆ

  4. Question 4Representation of Data ยท 8 marks

    The times taken, in minutes, to complete a cycle race by 19 cyclists from each of two clubs, the Cheetahs and the Panthers, are represented in the following back-to-back stem-and-leaf diagram. Cheetahs Panthers โ€ฆ

  5. Question 5Probability ยท 7 marks

    Jasmine throws two ordinary fair 6-sided dice at the same time and notes the numbers on the uppermost faces. The events A and B are de๏ฌned as follows. A: The sum of the two numbers is less than 6. B: โ€ฆ

  6. Question 6Representation of Data ยท 10 marks

    The mass of grapes sold per day by a large shop can be modelled by a normal distribution with mean 28kg. On 10% of days less than 16kg of grapes are sold. (a) Find the standard deviation of the mass โ€ฆ

  7. Question 7Permutations and Combinations ยท 9 marks

    (a) Find the number of di๏ฌ€erent arrangements of the 10 letters in the word CASABLANCA in which the two Cs are not together. (b) Find the number of di๏ฌ€erent arrangements of the 10 letters in the word CASABLANCA which have โ€ฆ

Other Mathematics papers from May/June 2023

Questions students ask

Where can I get the 9709/53 May/June 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s23_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 May/June 2023?
40 marks out of 50, a C needed 27.
Which topics came up in 9709/53 May/June 2023?
Mostly Representation of Data, Probability, Permutations and Combinations. The full list is in the table above.
Do I need an account to open 9709/53 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.