WAEC Past Questions and Answers - Page 4228

21,137.

calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

A.

86cm2

B.

154cm2

C.

616cm2

D.

1434cm2

E.

4312cm2

Correct answer is C

Surface area of a sphere = \(4\pi r^2\)

= \(4 \times \frac{22}{7} \times 7 \times 7\)

= \(616 cm^2\)

21,138.

A sector of a circle of radius 7cm has an area of 44cm2. Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]

A.

6o

B.

26o

C.

52o

D.

103o

E.

206o

Correct answer is D

πr2 = 360o

44cm2 = θ; ∴ θ =
44/πr2
x 360o = 102.9o = 103o

21,139.

Solve the equation 2a\(^2\) - 3a - 27 = 0

A.

3/2, 9

B.

-2/3, 9

C.

3, 9/2

D.

-3, -9/2

E.

-3, 9/2

Correct answer is E

2a\(^2\) - 3a - 27 = 0

2a\(^2\) - 9a + 6a - 27 = 0

a(2a - 9) + 3(2a - 9) = 0

(a + 3)(2a - 9) = 0

a = -3 or a = \(\frac{9}{2}\)

21,140.

Find the value of m which makes x\(^2\) + 8 + m a perfect square

A.

2

B.

4

C.

8

D.

12

E.

16

Correct answer is E

x\(^2\) + 8 + m

To make it a perfect square, we add \((\frac{b}{2})^2\)

= \((\frac{8}{2})^2\)

= 16