Coordinate geometry of the circle: past paper questions
Real questions on coordinate geometry of the circle
The newest 20 of 67 written questions. Open one to see it on the real paper.
- 4037/12 · October/November 2025 · Q7b[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q11a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/13 · October/November 2025 · Q11b[4]
4-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q8a[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q8b[6]
6-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/23 · October/November 2025 · Q11[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q1a[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q3a[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q3b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/11 · May/June 2025 · Q3c[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q3a[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q3b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q3c[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q10a[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q10b[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/12 · May/June 2025 · Q11a[6]
6-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q9a[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q9b[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q9c[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4037/21 · May/June 2025 · Q9d(i)[1]
1-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
To make any progress in this question, it was essential that the angle AOB be found. Most candidates did this and obtained a correct value of 2.25 radians, The length of the line CB needed to be found and this involved finding the angle COB. Unfortunately, many candidates rounded the value of this angle prematurely which resulted in a final perimeter value of either 80.6 or 80.8 rather than the ex...
— Examiner report, October/November 2023, 4037/12 Q10(a) (Cambridge)
Most candidates were able to make use of their work in part (a) to successfully find the area of the kite and the area of the sector.
— Examiner report, October/November 2023, 4037/12 Q10(b) (Cambridge)
The main error made by many candidates was that they began by assuming values for sides AC and BC, usually deciding they were 20, and/or for the angles BAC, ABC, BAO and ABO which were generally stated π as being . This meant that they were usually working with a square rather than a kite. The first step should 4 have been to work with the sector perimeter to find θ as 1.25 but many made errors an...
— Examiner report, October/November 2023, 4037/13 Q10 (Cambridge)
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