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Arc length and sector area past paper questions

Mathematics 9709 · Circular measure. s = r theta, A = 1/2 r^2 theta; perimeters and areas of sectors, segments and related shapes

In Cambridge A Level Mathematics 9709, Arc length and sector area came up in 69 of the 69 papers on Paperstreak, for about 6 marks a paper when it does. It last came up in October/November 2025.

Often set with Radians, Circles, Exact values.

70 questions, newest first

1. 9709/11/O/N/25 Question 7 part (a) · 2 marks
2. 9709/12/O/N/25 Question 10 part (b) · 7 marks
3. 9709/13/O/N/25 Question 5 part (b) · 3 marks
4. 9709/11/M/J/25 Question 9 · 8 marks
5. 9709/12/M/J/25 Question 8 part (c) · 4 marks
6. 9709/13/M/J/25 Question 8 parts (b) (c) · 6 marks
7. 9709/12/F/M/25 Question 4 · 6 marks
8. 9709/11/O/N/24 Question 3 · 5 marks
9. 9709/12/O/N/24 Question 6 · 6 marks
10. 9709/13/O/N/24 Question 7 · 10 marks
11. 9709/11/M/J/24 Question 7 part (b) · 7 marks
12. 9709/12/M/J/24 Question 8 parts (a(ii)) (b) · 8 marks
13. 9709/13/M/J/24 Question 3 · 6 marks
14. 9709/12/F/M/24 Question 10 part (d) · 4 marks
15. 9709/11/O/N/23 Question 6 parts (b) (c) · 6 marks
16. 9709/12/O/N/23 Question 4 · 6 marks
17. 9709/13/O/N/23 Question 10 part (c) · 7 marks
18. 9709/11/M/J/23 Question 4 · 4 marks
19. 9709/12/M/J/23 Question 6 · 6 marks
20. 9709/13/M/J/23 Question 6 · 7 marks
21. 9709/12/F/M/23 Question 8 · 8 marks
22. 9709/11/O/N/22 Question 5 · 6 marks
23. 9709/12/O/N/22 Question 10 · 8 marks
24. 9709/13/O/N/22 Question 8 · 7 marks
25. 9709/13/O/N/22 Question 10 part (c) · 2 marks
26. 9709/11/M/J/22 Question 5 · 7 marks
27. 9709/12/M/J/22 Question 7 · 6 marks
28. 9709/13/M/J/22 Question 9 · 8 marks
29. 9709/12/F/M/22 Question 10 · 8 marks
30. 9709/11/O/N/21 Question 6 · 7 marks
31. 9709/12/O/N/21 Question 7 part (b) · 4 marks
32. 9709/13/O/N/21 Question 5 part (b) · 6 marks
33. 9709/11/M/J/21 Question 8 parts (b) (c) · 8 marks
34. 9709/12/M/J/21 Question 12 parts (b) (c) (d) · 9 marks
35. 9709/13/M/J/21 Question 5 · 6 marks
36. 9709/12/F/M/21 Question 10 · 8 marks
37. 9709/11/O/N/20 Question 10 · 10 marks
38. 9709/12/O/N/20 Question 8 · 7 marks
39. 9709/13/O/N/20 Question 9 parts (b) (c) · 7 marks
40. 9709/11/M/J/20 Question 8 · 6 marks
41. 9709/12/M/J/20 Question 7 parts (b) (c) · 5 marks
42. 9709/13/M/J/20 Question 5 · 6 marks
43. 9709/12/F/M/20 Question 7 · 6 marks
44. 9709/11/O/N/19 Question 8 · 8 marks
45. 9709/12/O/N/19 Question 4 · 7 marks
46. 9709/13/O/N/19 Question 4 part (ii) · 4 marks
47. 9709/11/M/J/19 Question 3 · 4 marks
48. 9709/12/M/J/19 Question 5 · 5 marks
49. 9709/13/M/J/19 Question 3 part (ii) · 3 marks
50. 9709/12/F/M/19 Question 3 · 6 marks
51. 9709/11/O/N/18 Question 9 · 8 marks
52. 9709/12/O/N/18 Question 8 part (ii) · 4 marks
53. 9709/13/O/N/18 Question 3 · 6 marks
54. 9709/11/M/J/18 Question 6 · 7 marks
55. 9709/12/M/J/18 Question 6 · 6 marks
56. 9709/13/M/J/18 Question 5 · 5 marks
57. 9709/11/O/N/17 Question 5 part (ii) · 5 marks
58. 9709/12/O/N/17 Question 4 · 7 marks
59. 9709/13/O/N/17 Question 7 parts (ii) (iii) · 6 marks
60. 9709/11/M/J/17 Question 8 parts (ii) (iii) · 6 marks
61. 9709/12/M/J/17 Question 4 · 7 marks
62. 9709/13/M/J/17 Question 7 part (ii) · 6 marks
63. 9709/12/F/M/17 Question 4 part (ii) · 5 marks
64. 9709/11/O/N/16 Question 3 · 5 marks
65. 9709/12/O/N/16 Question 6 parts (ii) (iii) · 6 marks
66. 9709/13/O/N/16 Question 5 part (ii) · 4 marks
67. 9709/11/M/J/16 Question 7 · 7 marks
68. 9709/12/M/J/16 Question 6 · 6 marks
69. 9709/13/M/J/16 Question 6 · 7 marks
70. 9709/12/F/M/16 Question 9 parts (a(ii)) (b) · 8 marks

More in Circular measure: Radians.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.