Waec Mathematics 2006 Past Questions and Answers

Question 36:

• WAEC 2006

In the diagram, |QR| = 5cm, PQR = 60^o and PSR = 45^o. Find |PS|, leaving your answe in surd form.

A. 4\(\sqrt{5}\)cm
B. 3\(\sqrt{7}\)cm
C. 4\(\sqrt{6}\)cm
D. 5\(\sqrt{6}\)cm

Question 37:

• WAEC 2006

In the diagram, \(\frac{PQ}{RS}\), find x^o + y^o

A. 360^o
B. 300^o
C. 270^o
D. 180^o

Question 38:

• WAEC 2006

In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 58^o. Find < QRS

A. 112^o
B. 116^o
C. 122^o
D. 148^o

Question 39:

• WAEC 2006

In the diagram P, Q, R, S are points on the circle RQS = 30^o. PRS = 50^o and PSQ = 20^o. What is the value of x^o + y^o?

A. 260^o
B. 130^o
C. 100^o
D. 80^o

Question 40:

• WAEC 2006

In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110^o and the bearing of Q from P is 050^o. Find angle PQR.

A. 60^o
B. 70^o
C. 120^o
D. 160^o