Circular measure: past paper questions
Real questions on circular measure
The newest 20 of 23 written questions. Open one to see it on the real paper.
- 9709/11 · October/November 2025 · Q7b(i)[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9709/11 · October/November 2025 · Q7b(ii)[3]
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See it on the paper → - 9709/12 · October/November 2025 · Q10a[2]
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See it on the paper → - 9709/12 · October/November 2025 · Q10b[7]
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See it on the paper → - 9709/11 · October/November 2024 · Q3[5]
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See it on the paper → - 9709/11 · May/June 2024 · Q7b[7]
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See it on the paper → - 9709/13 · May/June 2024 · Q3a[4]
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See it on the paper → - 9709/11 · May/June 2023 · Q4[4][Diagram: A sector with centre . is a horizontal radius of length . is another radius. The angle is labelled . is the chord. is a point on the arc .] The diagram shows a sector of a circle with centre and radius . The area of the s...See it on the paper →
- 9709/12 · May/June 2023 · Q6a[2]
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See it on the paper → - 9709/13 · May/June 2023 · Q6a[5]
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See it on the paper → - 9709/13 · May/June 2023 · Q6b[2]
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See it on the paper → - 9709/12 · February/March 2023 · Q8b[3]
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See it on the paper → - 9709/11 · October/November 2022 · Q5a[4]
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See it on the paper → - 9709/11 · October/November 2022 · Q5b[2]
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See it on the paper → - 9709/12 · October/November 2022 · Q10c[3]
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See it on the paper → - 9709/11 · May/June 2022 · Q5a[3]
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See it on the paper → - 9709/12 · October/November 2021 · Q7b[4]
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See it on the paper → - 9709/12 · May/June 2021 · Q12d[3]
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See it on the paper → - 9709/13 · May/June 2021 · Q5a[2]
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See it on the paper → - 9709/13 · May/June 2021 · Q5b[4]
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What examiners said
There were many excellent solutions presented for this question, with most candidates using the correct formulae for arc length and sector area. Those who chose to use 21 ab sin C to find the area of triangle OAB or the formula for segment area generally produced more concise, accurate solutions than those who used 21 bh for the area of the triangle. In these cases, calculations tended to lose the...
— Examiner report, May/June 2023, 9709/13 Q6(a) (Cambridge)
Many correct methods were seen leading to the length AB. Occasionally this had been found in part (a) and was simply quoted here. Achieving 3 significant figure accuracy was less of a problem here and more correct answers were seen.
— Examiner report, May/June 2023, 9709/13 Q6(b) (Cambridge)
Again, angles in degrees or radians were usually used with the appropriate sector area formula. Most correct answers involved subtraction of the area of triangle ADC from area of sector ADC, although a significant minority chose to use the formula of the area of a segment using angle ADC. Answers which were prematurely rounded in part (a) invariably resulted in an inaccurate answer in this part.
— Examiner report, February/March 2023, 9709/12 Q8(b) (Cambridge)
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