WAEC Mathematics Past Questions & Answers - Page 323

1,611.

sinθ = 1/2 and cosθ = -√3/2, what is the value of θ?

A.

30 0

B.

60 0

C.

90 o

D.

120 o

E.

150 o

Correct answer is E

In the 2nd Quadrant; SINE is the only Positive.

Where θ is 30 for the first quadrant and

 150 in the 2nd quadrant which makes COSINE negative 

1,612.

Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?

A.

p = 5xq

B.

p = 6xq

C.

p = x2 + q3

D.

p = 2x + 3q

E.

p = x2q3

Correct answer is E

log p = 2log x + 3log q

log p = logx 2 + logq 3

logp = log x 2q 3

p = x 2q 3

1,613.

Solve for x: (x2 + 2x + 1) = 25

A.

-6, -4

B.

6, -4

C.

6, 4

D.

-6, 4

E.

5, 5

Correct answer is D

x2 + 2x + 1 = 25

x2 + 6x - 4x -24= 0

x(x + 6) - 4(x + 6) = 0

(x - 4) - (x + 6) = 0

x = 4 or -6 = -6,4

1,615.

In the diagram above, O is the center of the circle. If ∠POR = 114o, calculate ∠PQR

A.

123o

B.

118.5o

C.

117o

D.

114o

E.

54o

Correct answer is A

Reflex POR = 2PQR
Reflex PQR = 360o - 114o = 246o
PQR = 246/2 = 123o