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WAEC Past Questions and Answers - Page 2998

14,986.

If 9^2x = $\frac{1}{3}$ (27^x), find x

A.

2

B.

1

C.

-1

D.

-2

View answer & explanation

Correct answer is C

9^2x = $\frac{1}{3}$ (27^x)

(2²)^2x = $\frac{(3^{3x})}{3}$

(3^4x) = 3^{3x - 1}

4x = 3x - 1

4x - 3x = -1

x = -1

14,987.

Express 2.7864 x 10^-3 to 2 significant figures

A.

0.28

B.

0.27

C.

0.0028

D.

0.0027

View answer & explanation

Correct answer is C

2.7864 x 10^-3 = 0.0027864

= 0.0028(approx. 2 s.f)

14,988.

What is the median of the following scores: 22 35 41 63 74 82

A.

82

B.

52

C.

49

D.

22

View answer & explanation

Correct answer is B

22 35 41 63 74 82

Median = $\frac{41 + 63}{2} = \frac{104}{2}$

= 52

14,989.

In an examination, Kofi scored x% in Physics, 50% in Chemistry and 70% in Biology. If his mean score for the three subjects was 55%, find x

A.

40

B.

45

C.

55

D.

60

View answer & explanation

Correct answer is B

$\frac{x + 50 + 70}{3} = 55$

x + 120 = 3(55)

x + 120 = 165

= 165 - 120

x = 45%

14,990.

Given that sin 60^o = $\frac{\sqrt{3}}{2}$ and cos 60^o = $\frac{1}{2}$ , evaluate $\frac{1 - sin 60^o}{1 + cos 60^o}$

A.

$\frac{2 + \sqrt{3}}{3}$

B.

$\frac{1 - \sqrt{3}}{3}$

C.

$\frac{1 + \sqrt{3}}{3}$

D.

$\frac{2 - \sqrt{3}}{3}$

View answer & explanation

Correct answer is D

Sin 60 = $\frac{\sqrt{3}}{2}$ ; cos 60^o = $\frac{1}{2}$

= $\frac{1 - \sin 60}{1 + \cos 60} = \frac{1 - \frac{\sqrt{3}}{2}}{1 + \frac{1}{2}}$

= $\frac{2 - \sqrt{3}}{3}{2}\div \frac{2 + 1}{2}$

= $\frac{2 - \sqrt{3}}{2} \times \frac{2}{3}$

= $\frac{2 - \sqrt{3}}{3}$

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