WAEC Past Questions and Answers - Page 4234

21,166.

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

21,168.

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

21,169.

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70o at the center of the circle radius 4cm. [Take π = 22/7]

A.

2.44cm

B.

4.89cm

C.

9.78cm

D.

25.1cm

E.

50.3cm

Correct answer is B

Circumference of circle = 2πr = 2 x 3.14 x 4
= 25.1cm 360o = 25.1cm

70o =
25.1/360
x 70 = 4.89

21,170.

If logax = p, express x in terms of a and p

A.

x = u + p

B.

x = a/p

C.

x = p

D.

x = ap

E.

x = ap

Correct answer is E

\(\log_{a} x = p\)

\(x = a^p\)