Set 4 — 2026 past papers

1. 4.01: Area of a three-arc badge0606/22/F/M/26 — Question 5 · 6 marks
2. 4.02: Sector perimeter and area0606/12/M/J/26 — Question 6 · 8 marks
3. 4.03: Circle geometry with a tangent0606/21/M/J/26 — Question 8 · 8 marks
4. 4.04: Arc geometry and area0606/23/M/J/26 — Question 2 · 7 marks

Set 3 — 2021–2025 past papers

1. 3.65: Isosceles triangle and two-arc shape0606/21/O/N/25 — Question 9 · 7 marks
2. 3.64: Shaded region with parallel chords and arcs0606/22/O/N/25 — Question 2 · 8 marks
3. 3.29: Chord with an arc from an external centre on the circle0606/23/O/N/25 — Question 8 · 8 marks
4. 3.16: Composite sectors with a parallel chord0606/12/M/J/25 — Question 10 · 8 marks
5. 3.17: Segment with given area and sine of the angle0606/13/M/J/25 — Question 7 · 6 marks
6. 3.49: Intersection of logarithmic curves0606/13/M/J/25 — Question 6 · 5 marks
7. 3.18: Sector formed into a cone; related rates0606/21/M/J/25 — Question 9 · 12 marks
8. 3.5: Tangent from an external point to a circle0606/22/F/M/25 — Question 1 · 8 marks
9. 3.28: Intersecting circles with mutual tangents at contact points0606/12/O/N/24 — Question 3 · 7 marks
10. 3.62: Sector logo: perimeter model and minimum0606/23/O/N/24 — Question 4 · 8 marks
11. 3.15: Parallel chords and the band between them0606/12/M/J/24 — Question 6 · 9 marks
12. 3.47: Surd trapezium: perimeter, area and cotangent0606/12/M/J/24 — Question 5 · 9 marks
13. 3.48: Concentric arcs: shaded area and perimeter0606/23/M/J/24 — Question 7 · 8 marks
14. 3.4: Logo of three sectors with variable radii0606/22/F/M/24 — Question 9 · 9 marks
15. 3.25: Badge formed from a sector and a kite0606/12/O/N/23 — Question 10 · 7 marks
16. 3.26: Isosceles tangents outside a sector0606/13/O/N/23 — Question 10 · 9 marks
17. 3.27: Tangent and collinear centre line0606/21/O/N/23 — Question 10 · 9 marks
18. 3.12: Sector data and shaded region beyond a tangent0606/12/M/J/23 — Question 4 · 7 marks
19. 3.13: Sector perimeter minimised for fixed area0606/13/M/J/23 — Question 6 · 7 marks
20. 3.14: Arc length from sector area; shaded isosceles region0606/21/M/J/23 — Question 9 · 8 marks
21. 3.3: Concentric sectors and three shaded segments0606/22/F/M/23 — Question 9 · 7 marks
22. 3.22: Two sectors cut from a circle with variable inner radius0606/11/O/N/22 — Question 7 · 6 marks
23. 3.23: Tangents meeting outside a circle0606/12/O/N/22 — Question 7 · 7 marks
24. 3.24: Tangent and obtuse central angle0606/13/O/N/22 — Question 8 · 7 marks
25. 3.9: Sector of fixed area with minimum perimeter0606/11/M/J/22 — Question 9 · 9 marks
26. 3.10: Circle with chord and consecutive arcs0606/13/M/J/22 — Question 2 · 7 marks
27. 3.11: Tangents and sector equal to shaded region0606/22/M/J/22 — Question 9 · 7 marks
28. 3.40: Stationary point and equation for $3\sin^{2}x - 2\cos x$0606/22/M/J/22 — Question 8 · 10 marks
29. 3.2: Equal areas in a sector cut by a chord0606/22/F/M/22 — Question 8 · 7 marks
30. 3.19: Intersecting diameters: triangle and opposite sector0606/11/O/N/21 — Question 8 · 7 marks
31. 3.20: Rectangle inside a circle with external segments0606/12/O/N/21 — Question 9 · 9 marks
32. 3.21: Perpendicular from centre to a chord through a diameter point0606/13/O/N/21 — Question 7 · 10 marks
33. 3.54: Exponential speed of a particle0606/13/O/N/21 — Question 2 · 2 marks
34. 3.6: Major arc with an isosceles triangle below the chord0606/11/M/J/21 — Question 10 · 11 marks
35. 3.35: Factorised sine–cosine equation and a secant equation0606/11/M/J/21 — Question 9 · 10 marks
36. 3.7: Circle with midpoints and an inner arc0606/13/M/J/21 — Question 6 · 6 marks
37. 3.36: Derivative of an exponential and a related definite integral0606/13/M/J/21 — Question 2 · 8 marks
38. 3.8: Sector with external tangents forming a kite0606/22/M/J/21 — Question 7 · 6 marks
39. 3.1: Sector with an interior chord to a point on a radius0606/22/F/M/21 — Question 6 · 6 marks