# Waecmaths

Title waecmaths question
Question 24

In the diagram, O is the centre of the circle and $\angle PQR={{106}^{\circ }}$ .Find the value of y

Question 17

In the diagram PR is a diameter of the circle centre O. RS is a tangent at R and $\angle QPR={{58}^{\circ }}$, find $\angle QRS$

Question 21

In the diagram P, Q, R, S are points on the circle $R\overset{\wedge }{\mathop{Q}}\,S$ = 30o, $P\overset{\wedge }{\mathop{R}}\,S$ = 50o and $P\overset{\wedge }{\mathop{S}}\,Q$ = 20o. What is the value of xo + yo ?

Question 16

In the diagram, O is the centre of the circle If PQ $PQ\parallel RS$and $\angle ONS={{140}^{\circ }}$find the size of $\angle POM$

Question 17

In the diagram, PTR is a tangent to the circle centre O, if the angle TON  = 108o. Calculate the size of angle PTN

Question 19

In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

19. Calculate the value of angle PTR

Question 20

In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

Question 48

In a circle radius r cm, a chord is  long 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r

Question 10

In the diagram, PR is a diameter, $\angle PRQ={{(3x-8)}^{\circ }}$and$\angle RPQ={{(2y-7)}^{\circ }}$. Express x in terms of y

Question 23

In the diagram O is the centre of the circle, $\angle MON={{80}^{\circ }}$ $\angle LMO={{10}^{\circ }}$ and $\angle LNO={{15}^{{}^\circ }}$.Calculate the value of x

Question 30

An arc of a circle of radius 14cm subtends angle 300o at the centre. Find the perimeter of the sector formed by the arc (Take$\pi =\tfrac{22}{7}$)

Question 42

In the diagram PQRS is a circle, $\left| PT \right|=\left| QT \right|$ and $\angle QPT={{70}^{\circ }}$. What is the size of $\angle PRS$

Question 45

XOY is a sector of a circle centre O of radius 3.5cm which subtends an angle of 144o at the centre. Calculate, in terms of the π, the area of the sector.