GCSE Circle Theorem Questions PART 1
1.
Diagram NOT accurately drawn
In the diagram, A, B, C and D are points on the circumference of a circle, centre O.
Angle BAD = 70°. Angle BOD = x°. Angle BCD = y°.
(a) (i) Work out the value of x.
(ii) Give a reason for your answer.
(2)
(b) (i) Work out the value of y.
(ii) Give a reason for your answer.
(2)
(Total 4 marks)
2.
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)
3.
Southend High School for Boys 1
