Ratio and proportion Notes and examples: past paper questions
Real questions on ratio and proportion notes and examples
The newest 20 of 41 written questions. Open one to see it on the real paper.
- 4024/12 · October/November 2025 · Q9a[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · October/November 2025 · Q9b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/21 · October/November 2025 · Q10a[1]
1-mark “Complete” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/21 · October/November 2025 · Q10b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/21 · October/November 2025 · Q10c[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2025 · Q6[2]
2-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · May/June 2025 · Q11a[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · May/June 2025 · Q11b[1]
1-mark “Use” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · May/June 2025 · Q11c[3]
3-mark “Solve” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/13 · May/June 2025 · Q24b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · May/June 2025 · Q3a[2]
2-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · May/June 2025 · Q3b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/23 · May/June 2025 · Q23[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/11 · October/November 2024 · Q2[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · October/November 2024 · Q19[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q1b[2]
2-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/21 · May/June 2024 · Q5c[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · May/June 2024 · Q1c[2]
2-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · October/November 2023 · Q5[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/21 · October/November 2023 · Q1d(ii)[4]
4-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
This question was found to be challenging. Those candidates who used an algebraic approach and identified that the ratio 5:9 was equivalent to x:x + 8 often set up a correct equation and found the correct answer. Some solved the equation to reach x = 10 and gave that as their answer rather than finding the total amount of money as required. Another successful approach was to draw a block of 5 squa...
— Examiner report, October/November 2023, 4024/12 Q5 (Cambridge)
Roughly half the candidates were successful in this part. Note the question asks candidates to show how they decided on the highest population density, therefore the population densities of all 4 countries should be evaluated and shown. Also on the answer line the country, rather than the population density, should be stated.
— Examiner report, October/November 2023, 4024/21 Q1(d)(ii) (Cambridge)
The best responses recognised that data for the first 20 games would provide a best estimate of 2 7 the probability. Some responses included a step of adding or multiplying and while others 6 20 4 13 worked with and . Some answers were greater than 1; candidates are encouraged to check 6 20 that any probability stated must be less than 1 in accordance with the probability scale.
— Examiner report, May/June 2023, 4024/11 Q12(a) (Cambridge)
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