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- Question 1 of 5
##### 1. Question

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]CorrectIncorrect - Question 2 of 5
##### 2. Question

*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.]

CorrectIncorrect - Question 3 of 5
##### 3. Question

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

Calculate

(a)

*BOC*

(b)*OBC*

(c)*ABO*

(d)*ACO*[WRITE ANSWER IN THE FORM 23;89;18;95 putting no spaces.]

CorrectIncorrect - Question 4 of 5
##### 4. Question

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.]

CorrectIncorrect - Question 5 of 5
##### 5. Question

*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.]

CorrectIncorrect

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