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2021

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

Mathematics 9709/51 May/June 2021 past paper

Cambridge A Level Mathematics (9709) Paper 5 (Probability & Statistics 1), variant 1, May/June 2021: 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
37
Open the question paperMark scheme

File names: 9709_s21_qp_51 ยท 9709_s21_ms_51

Grade thresholds for 9709/51 May/June 2021

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
3730241812

Topics in this paper

Which syllabus chapters 9709/51 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Probability324
Representation of Data213
Random Variables19
Permutations and Combinations14

Questions in 9709/51 May/June 2021

  1. Question 1Permutations and Combinations ยท 4 marks

    A bag contains 12 marbles, each of a di๏ฌ€erent size. 8 of the marbles are red and 4 of the marbles are blue. How many di๏ฌ€erent selections of 5 marbles contain at least 4 marbles of the same colour?

  2. Question 2Representation of Data ยท 5 marks

    A company produces a particular type of metal rod. The lengths of these rods are normally distributed with mean 25.2 cm and standard deviation 0.4 cm. A random sample of 500 of these rods is chosen. How many rods in โ€ฆ

  3. Question 3Probability ยท 8 marks

    (a) How many di๏ฌ€erent arrangements are there of the 8 letters in the word RELEASED? (b) How many di๏ฌ€erent arrangements are there of the 8 letters in the word RELEASED in which the letters LED appear together in that order? โ€ฆ

  4. Question 4Probability ยท 7 marks

    To gain a place at a science college, students ๏ฌrst have to pass a written test and then a practical test. Each student is allowed a maximum of two attempts at the written test. A student is only allowed a โ€ฆ

  5. Question 5Representation of Data ยท 8 marks

    The times taken by 200 players to solve a computer puzzle are summarised in the following table. Time (t seconds) โ€ฆ

  6. Question 6Probability ยท 9 marks

    In Questa, 60% of the adults travel to work by car. (a) A random sample of 12 adults from Questa is taken. Find the probability that the number who travel to work by car is less than โ€ฆ

  7. Question 7Random Variables ยท 9 marks

    Sharma knows that she has 3 tins of carrots, 2 tins of peas and 2 tins of sweetcorn in her cupboard. All the tins are the same shape and size, but the labels have all been removed, so Sharma does โ€ฆ

Other Mathematics papers from May/June 2021

Questions students ask

Where can I get the 9709/51 May/June 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s21_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 2021?
37 marks out of 50, a C needed 24.
Which topics came up in 9709/51 May/June 2021?
Mostly Probability, Representation of Data, Random Variables. The full list is in the table above.
Do I need an account to open 9709/51 May/June 2021?
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.