Circular measure: past paper questions

Real questions on circular measure

The newest 20 of 40 written questions. Open one to see it on the real paper.

1. 0606/12 · May/June 2026 · Q6a[4]

   4-mark “Find” question — its maths and diagrams are best seen on the paper.

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2. 0606/12 · May/June 2026 · Q6b[4]

   4-mark “Find” question — its maths and diagrams are best seen on the paper.

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3. 0606/21 · May/June 2026 · Q8b[1]
   In this question lengths are in centimetres and angles are in radians. [Diagram: A circle with centre $C$ and radius $10$. Points $A$ and $B$ are on the circumference. Point $P$ is outside the circle such that $C$, $B$, and $P$ are collinear in that order. The line segment $CA$ has length $10$. The line segment $CB$ h...See it on the paper →
4. 0606/21 · May/June 2026 · Q8c[1]
   In this question lengths are in centimetres and angles are in radians. [Diagram: A circle with centre $C$ and radius $10$. Points $A$ and $B$ are on the circumference. $CBP$ is a straight line. $CB=10$, $BP=x$. $AP$ is a tangent to the circle at $A$. Angle $ACB=\theta$.] The diagram shows a circle, centre $C$,...See it on the paper →
5. 0606/22 · February/March 2026 · Q5a[1]
   The diagram shows a design for a badge. [Diagram: A shape with vertices A, B, C. The sides are arcs. Dashed lines connect A, B, and C to form a triangle. The distance between A and B is labelled $x$ cm.] $ABC$ is an equilateral triangle with side $x$ cm. The arcs $BC$, $CA$ and $AB$ are parts of the circles with centre...See it on the paper →
6. 0606/02 · Specimen 2025 · Q9a[5]

   5-mark “Find” question — its maths and diagrams are best seen on the paper.

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7. 0606/02 · Specimen 2025 · Q9b[2]

   2-mark “Find” question — its maths and diagrams are best seen on the paper.

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8. 0606/22 · October/November 2025 · Q2b(i)[2]

   2-mark question — its maths and diagrams are best seen on the paper.

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9. 0606/22 · October/November 2025 · Q2b(ii)[3]

   3-mark question — its maths and diagrams are best seen on the paper.

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10. 0606/23 · October/November 2025 · Q8a[2]
    In this question the units are metres. [Diagram: A circle with centre $O$ and radius 2. Points $A$ and $B$ are on the circle such that the chord $AB$ has length $2\sqrt{3}$. Point $Q$ is on the circle such that $AQ=BQ$. The arc $APB$ is part of a circle with centre $Q$. The region bounded by chord $AB$ and arc $APB$...See it on the paper →
11. 0606/23 · October/November 2025 · Q8b[6]

    6-mark “Give” question — its maths and diagrams are best seen on the paper.

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12. 0606/13 · May/June 2025 · Q7b[4]

    4-mark “Find” question — its maths and diagrams are best seen on the paper.

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13. 0606/21 · May/June 2025 · Q9b[2]

    2-mark “Find” question — its maths and diagrams are best seen on the paper.

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14. 0606/22 · February/March 2025 · Q1b[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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15. 0606/22 · February/March 2025 · Q1c[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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16. 0606/12 · May/June 2024 · Q6a[1]

    1-mark “Show” question — its maths and diagrams are best seen on the paper.

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17. 0606/12 · May/June 2024 · Q6b[5]

    5-mark “Find” question — its maths and diagrams are best seen on the paper.

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18. 0606/12 · May/June 2024 · Q6c[3]

    3-mark “Find” question — its maths and diagrams are best seen on the paper.

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19. 0606/23 · May/June 2024 · Q7b[5]

    5-mark “Find” question — its maths and diagrams are best seen on the paper.

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20. 0606/21 · October/November 2023 · Q10a[6]

    6-mark “Find” question — its maths and diagrams are best seen on the paper.

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What examiners said

Comprehensive responses • Most responses were given in terms of radians. Limited responses • Very few incorrect answers were seen.

— Examiner report, February/March 2026, 0606/22 Q5(a) (Cambridge)

Using the method for finding the area of a circle segment was attempted by most candidates, who were able to find the correct value of θ. Many correct final answers for the arc length of the arc AB were seen.

— Examiner report, May/June 2025, 0606/13 Q7(b) (Cambridge)

Around half of candidates were successful here. The most common mistake was to wrongly think the radius of the circular top was 15 cm and use C = 2r

— Examiner report, May/June 2025, 0606/21 Q9(b) (Cambridge)