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WAEC Mathematics Past Questions & Answers - Page 112

556.

Make p the subject of the relation: q = $\frac{3p}{r} + \frac{s}{2}$

A.

p = $\frac{2q - rs}{6}$

B.

p = 2qr - sr - 3

C.

p = $\frac{2qr - s}{6}$

D.

p = $\frac{2qr - rs}{6}$

View answer & explanation

Correct answer is D

q = $\frac{3p}{r} + \frac{s}{2}$

q = $\frac{6p + rs}{2r}$

6p + rs = 2qr

6p = 2qr - rs

p = $\frac{2qr - rs}{6}$

557.

Simplify: $\frac{54k^2 - 6}{3k + 1}$

A.

6(1 - 3k²)

B.

6(3k² - 1)

C.

6(3k - 1)

D.

6(1 - 3k)

View answer & explanation

Correct answer is C

$\frac{54k^2 - 6}{3k + 1} = \frac{6(9k^2 - 1)}{3k + 1}$

= $\frac{6(3k + 1) - (3k - 1)}{3k + 1}$

= 6(3k - 1)

558.

Solve for x in the equation; $\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}$

A.

5

B.

4

C.

3

D.

1

View answer & explanation

Correct answer is A

$\frac{1}{8} + \frac{2}{3x} = \frac{1}{3}$

= $\frac{1}{2}$

$\frac{5}{3x} = \frac{1}{3}$

3x = 15

x = $\frac{15}{3}$

= 5

559.

If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged

A.

5%

B.

7 $\frac{1}{2}$ %

C.

8%

D.

10%

View answer & explanation

Correct answer is D

A = 3,500, P = N2,500

A = P + I

But I = N3,500 - N2,500

I = N1,000

I = $\frac{PRT}{100}$

N1,000 = $\frac{2.500 \times R \times 4}{100}$

1000 = 100R

R = $\frac{1000}{100}$

= 10%

560.

Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?

A.

25m/s

B.

150m/s

C.

250m/s

D.

500m/s

View answer & explanation

Correct answer is A

$\frac{720 \times 1000}{8 \times 60 \times 60}$ = $\frac{20 \times 10}{8}$

= $\frac{200}{8}$

= 25 m/s

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