Continuous random variables: past paper questions
Real questions on continuous random variables
The newest 20 of 115 written questions. Open one to see it on the real paper.
- 9231/41 · October/November 2025 · Q5b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · October/November 2025 · Q5c[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · October/November 2025 · Q4b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · October/November 2025 · Q4c[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · October/November 2025 · Q4d[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q5b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q5c[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q2c[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q2d[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q3a[1]
1-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q3b[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q6a[1]
1-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q2a[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q2b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q2c[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q2d[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q3a[1]
1-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q3b[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q3c[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q3d[1]
1-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
In this part, candidates were asked to find the exact interquartile range. Almost all candidates were able to find the correct value for Q1. Candidates who did not find the correct values of k and c in part (a) were still able to obtain the two method marks for finding Q3 and the final accuracy mark. A small number of candidates gave a numerical value rather than an exact value as required.
— Examiner report, October/November 2023, 9231/41 Q4(b) (Cambridge)
The most successful candidates multiplied the probability density function given in the stem of the question by x and integrated. Those who had found the correct values of a and b in part (a) were usually successful here. A common alternative approach was to define a new random variable Y such that E (Y ) = E ( X ) . Whilst this is a valid method it required more work and generated far fewer fully...
— Examiner report, October/November 2023, 9231/42 Q4(c) (Cambridge)
Almost all the candidates integrated the probability density function to find the cumulative distribution function. A common error was omitting to find the constant of integration. It was necessary to include F(x) = 0 for x < 0 and F(x) = 1 for x > 2 ln2, but often these were incorrectly combined as ‘F(x) = 0 otherwise’.
— Examiner report, May/June 2023, 9231/42 Q6(a) (Cambridge)
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