May/June 2026 Paper 41

2026 · 28 questions · 40 parts · 100 marks

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18Circle TheoremsMedium4 marks
Circle with centre O, not to scale, through P, Q and S, with tangent TSR touching at S; chords PS and PQ and radii OS and OQ are drawn; angle TSP is 78° and angle SPQ is 18°.
, and are points on a circle, centre . is a tangent to the circle at .
Find the ratio angle : angle . Give your answer in its simplest form.
Working
0 words
First number of the ratio
Second number of the ratio