Exam Questions Circle Theorems Grade B
Geometry
The Winston Churchill School
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1. D ia g ra m N O T a c c u ra te ly d ra w n
P
S
56°
O
Q R P, Q, R and S are points on the circumference of a circle, centre O. PR is a diameter of the circle. Angle PSQ = 56°. (a)
Find the size of angle PQR. Give a reason for your answer.
……………………………° (2)
(b)
Find the size of angle PRQ. Give a reason for your answer.
……………………………° (2)
(c)
Find the size of angle POQ. Give a reason for your answer.
……………………………° (2) (Total 6 marks)
2. S R 123°
D ia g ra m N O T a c c u ra te ly d ra w n O x° Q
P QRS is a straight line. QR and PR are chords of a circle, centre O. Angle PRS = 123°. Angle QOP = x°. Calculate the size of the angle marked x°. Give reasons for your answer.
................................° (Total 3 marks)
The Winston Churchill School
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