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Cambridge AS & A Level9709Frequently examined

Mathematics Pure Math 1 9709: RADIANS Topical Past Paper Questions

Cambridge AS & A Level Mathematics Pure Math 1 (9709) past-paper questions on RADIANS, free. This topic is frequently examined across 23 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.

Sample questions

Summer (May/Jun) 2026Paper 1

The diagram shows a right-angled triangle PQR. The point S lies on PR and is such that PS = 4RS. The distance RS = a. The angle QPR = $ \frac{1}{6}\pi $ radians, and the angle POS = $ \theta $ radians. (a) Find the exact distance $QS$ in terms of $a$. Give your answer in the form…

Winter (Oct/Nov) 2025Paper 1

The diagram shows the design for a company’s new logo. The sector of the circle, centre $O$, has radius $r$ cm. The acute angle $AOC = \frac{1}{3}\pi$ radians. The quadrilateral $OABC$ is a rhombus. (a) Find an expression for the perimeter of the design. Give your answer in terms…

Winter (Oct/Nov) 2024Paper 1

The diagram shows a metal plate ABCDEF consisting of five parts. The parts BCD and DEF are semicircles. The part BAFO is a sector of a circle with centre O and radius 20 cm, and D lies on this circle. The parts OBD and ODF are triangles. Angles BOD and DOF are both $ \theta $ rad…

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