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AS & A Level Mathematics 9709 · Probability & Statistics 1 (for Paper 5) · 5.4

Discrete random variables: past paper questions

28 real questionsasked in 5 of the last 10 exam series2020–2025usually: Find, Calculate, State, Use, Draw

Real questions on discrete random variables

The newest 20 of 28 written questions. Open one to see it on the real paper.

  1. 9709/61 · May/June 2025 · Q3a[3]

    3-mark “Calculate” question — its maths and diagrams are best seen on the paper.

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  2. 9709/62 · May/June 2025 · Q2[3]

    3-mark “Calculate” question — its maths and diagrams are best seen on the paper.

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  3. 9709/62 · May/June 2025 · Q8a[5]

    5-mark “Use” question — its maths and diagrams are best seen on the paper.

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  4. 9709/62 · May/June 2025 · Q8b[2]

    2-mark “Calculate” question — its maths and diagrams are best seen on the paper.

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  5. 9709/62 · May/June 2025 · Q8c[3]

    3-mark question — its maths and diagrams are best seen on the paper.

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  6. 9709/52 · October/November 2024 · Q1a[1]

    1-mark “Find” question — its maths and diagrams are best seen on the paper.

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  7. 9709/63 · October/November 2024 · Q6a[2]

    2-mark “Find” question — its maths and diagrams are best seen on the paper.

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  8. 9709/63 · October/November 2024 · Q6b[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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  9. 9709/63 · October/November 2024 · Q6c[4]

    4-mark “Find” question — its maths and diagrams are best seen on the paper.

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  10. 9709/61 · May/June 2024 · Q1[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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  11. 9709/61 · May/June 2024 · Q5a[1]

    1-mark “State” question — its maths and diagrams are best seen on the paper.

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  12. 9709/61 · May/June 2024 · Q5b[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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  13. 9709/61 · May/June 2024 · Q5c[4]

    4-mark “Use” question — its maths and diagrams are best seen on the paper.

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  14. 9709/51 · October/November 2023 · Q2c[3]

    3-mark question — its maths and diagrams are best seen on the paper.

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  15. 9709/63 · October/November 2023 · Q4a[2]

    2-mark “Find” question — its maths and diagrams are best seen on the paper.

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  16. 9709/63 · October/November 2023 · Q4b[6]

    6-mark “Find” question — its maths and diagrams are best seen on the paper.

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  17. 9709/53 · May/June 2023 · Q1a[1]

    1-mark “State” question — its maths and diagrams are best seen on the paper.

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  18. 9709/53 · May/June 2023 · Q3a[4]

    4-mark question — its maths and diagrams are best seen on the paper.

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  19. 9709/53 · May/June 2023 · Q3b[1]

    1-mark “Draw” question — its maths and diagrams are best seen on the paper.

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  20. 9709/53 · May/June 2023 · Q3c[2]

    2-mark question — its maths and diagrams are best seen on the paper.

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What examiners said

This standard binomial distribution question was not attempted by a significant number of candidates. Good solutions stated clearly the required terms and then evaluated accurately without intermediate values being shown. A number of solutions were seen with intermediate values stated to less than 4 significant figures, which produced an inaccurate final probability. Some candidates seemed to work...

— Examiner report, October/November 2023, 9709/51 Q2(c) (Cambridge)

This part referred only to chemical A. The answer for the mean income from A was in dollars. Either 25.75 or 25.8 was accepted.

— Examiner report, October/November 2023, 9709/63 Q4(a) (Cambridge)

In order to compare the incomes from chemical A and chemical B, it was necessary to create a new variable A – B and to find the mean (– 11.3) and variance (137.5056) of this new variable. To find the probability that the income generated by chemical A was greater than the income generated by chemical B, these values could be used to find the probability that A – B > 0. A sketch could be useful to...

— Examiner report, October/November 2023, 9709/63 Q4(b) (Cambridge)

Past papers, syllabus and examiner reports © UCLES (Cambridge University Press & Assessment). Questions are matched to topics from the official syllabus. AssessPro is independent and not endorsed by Cambridge.

Discrete random variables — AS & A Level Mathematics 9709 past paper questions | AssessPro