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The line PQR is a tangent to a circle with centre O.

QS is the diameter of the circle.

T is a point on the circumference of the circle such that POT is a straight line.

The angle OPQ is 34^{o}

Calculate the size of angle TQR. [WRITE NUMBER ONLY e.g. 23]

ABCD is a cyclic quadrilateral and PA is a tangent to the circle at A.Angle BAP = 20^{o} and the angle ADC = 62^{o}.

Find

(a) angle ABC

(b) angle BAC

[WRITE ANSWER IN THE FORM 23;89 without any spaces.]

In the diagram, O is the centre of the circle.SAT is a tangent of the circle at A.Angle BAC = 80^{o} and angle SAB = angle TAC.

Calculate

(a) BOC(b) OBC(c) ABO(d) ACO

[WRITE ANSWER IN THE FORM 23;89;18;95 putting no spaces.]

Calculate the size of angle TQR.

A, B and C are points on the circumference of a circle of centre O.

D is a point on BC such that AOD is a straight line.

Calculate angles x, y and z.

[WRITE ANSWER IN THE FORM “a23b89c87”, putting no spaces.]

AD is a diameter of a circle centre O.B and C are points on the circumference such that DC is parallel to OB. The angle OAC = 64^{o}

(a) Calculate the size of angle ODC.(b) Calculate the size of angle AOB.(c) Calculate the size of angle ACB.(d) Calculate the size of angle OBC.

[WRITE ANSWER IN THE FORM 23;89;45;97, putting no spaces.]

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