Circular measure: past paper questions
Real questions on circular measure
The newest 13 of 13 written questions. Open one to see it on the real paper.
- 4037/12 · October/November 2024 · Q3a[2]
2-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2022 · Q9a[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2022 · Q9b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2021 · Q7b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2021 · Q7c[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2021 · Q10c[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2021 · Q7a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/22 · May/June 2021 · Q7b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2020 · Q11a[5]
5-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · October/November 2020 · Q11b[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2020 · Q8a[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2020 · Q8b[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2020 · Q8c[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
This was an example of a question where candidates had to show that a particular result was true. It was necessary for candidates to provide all method steps. The angle used should have been φ, although other angles were accepted as long as they were consistently used. It was not acceptable, for example, to use a mixture of angles and then in the last step define one of them as being whatever was...
— Examiner report, May/June 2022, 4037/22 Q9(a) (Cambridge)
Some fully correct answers were seen to this part. Candidates needed to form an expression for the perimeter of each of the sector and the shaded area and either double the sector perimeter or find half of the perimeter of the shaded area and equate. A good number of candidates did this and a good number of these manipulated the resulting equation correctly to find the correct expression for tanφ....
— Examiner report, May/June 2022, 4037/22 Q9(b) (Cambridge)
Many correct solutions were seen as most candidates are familiar with the use of areas of sectors of circles and triangles, to find complex areas. Some incorrect methods using the area of a triangle were seen.
— Examiner report, October/November 2021, 4037/13 Q7(b) (Cambridge)
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