# Circle Theorem Exam Questions

Circle Theorem Exam Questions - Grade B

Exam Questions Circle Theorems Grade B Geometry The Winston Churchill School 1 1. P D ia g ra m N O T a c c u ra te ly d ra w n 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 3