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.
- 0606/11 · May/June 2026 · Q2a[1]
1-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · May/June 2026 · Q2b[1]
1-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · May/June 2026 · Q2c[2]
2-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · May/June 2026 · Q6a[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · May/June 2026 · Q6b[4]
4-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/13 · May/June 2026 · Q9a[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/13 · May/June 2026 · Q9b[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/22 · May/June 2026 · Q11[9]
9-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · February/March 2026 · Q12[8]
8-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/02 · Specimen 2025 · Q7a(i)[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/02 · Specimen 2025 · Q7a(ii)[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/02 · Specimen 2025 · Q7b[1]
1-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/12 · October/November 2025 · Q7b[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/13 · October/November 2025 · Q11a[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/13 · October/November 2025 · Q11b[4]
4-mark “Give” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/22 · October/November 2025 · Q2b(i)[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/22 · October/November 2025 · Q2b(ii)[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/23 · October/November 2025 · Q11[5]
5-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · May/June 2025 · Q3b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 0606/11 · May/June 2025 · Q3c[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
Comprehensive responses • Success in this question depended on candidates identifying a correct process to find a simple relationship between x and y that could be used to eliminate one of the unknowns. • Some candidates subtracted the equations of the circles to find the correct equation of the common chord. This was an efficient approach. • Some other candidates rewrote the given equations as (x...
— Examiner report, February/March 2026, 0606/12 Q12 (Cambridge)
This part was also generally well answered. A minority of candidates confused x and y coordinates. Most candidates used the centre point effectively, though a few attempted a method involving simultaneous equations leading to a quadratic.
— Examiner report, May/June 2025, 0606/11 Q3(b) (Cambridge)
This part was also generally well answered. Errors included calculating the gradient with the x and y values reversed. A few candidates correctly calculated the gradient of the radius but did not take the negative reciprocal when finding the gradient of the tangent.
— Examiner report, May/June 2025, 0606/11 Q3(c) (Cambridge)
Past papers, syllabus and examiner reports © UCLES (Cambridge University Press & Assessment). Questions are matched to topics from the official syllabus. AssessPro is independent and not endorsed by Cambridge.