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WAEC Mathematics Past Questions & Answers - Page 53

261.

The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres

A.

4.55 litres

B.

7.50 litres

C.

8.10 litres

D.

9.55 litres

View answer & explanation

Correct answer is A

Vol of a cubiod = L x b x h

v = 13cm x 10cm x 70cm

= 9100cm

Since it is half-filled = $\frac{9100}{2}$ cm

= 4550cm

4550cm $\to$ 4.55 litres

262.

Water flows out of a pipe at a rate of 40 $\pi cm^2$ per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

A.

10 cm

B.

14 cm

C.

16 cm

D.

20 cm

View answer & explanation

Correct answer is A

Volume of a cylinder = $\pi r^2h$

40 $\pi cm^3$ = $\pi. 4^2h$

40 $cm^3$ = 16h

h = 2.5cm/sec

In 4 seconds, 2.5cm x 4

= 10cm

263.

An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take $\pi = \frac{22}{7}$ ]

A.

29 $^o$

B.

57 $^o$

C.

65 $^o$

D.

115 $^o$

View answer & explanation

Correct answer is B

lac = $\frac{\theta}{360}$ x 2 $\pi$ r

7.5 = $\frac{\theta}{360}$ x 2 x $\frac{22}{7}$ x 7.5

7.5 = $\frac{330\theta}{2520}$

$\theta$ = $\frac{7.5}{0.1309}$

$\theta$ = 57.29

$\theta$ = 57 $^o$

264.

Simplify; 3x - (p - x) - (r - p)

A.

2x - r

B.

2x + r

C.

4x - r

D.

2x - 2p - r

View answer & explanation

Correct answer is C

3x - (p - x) - ( r - p) = 3x - p + x - r + p = 4x - r

265.

Solve: - $\frac{1}{4}$ < $\frac{3}{4}$ (3x - 2) < $\frac{1}{2}$

A.

- $\frac{5}{9}$ < x < $\frac{8}{9}$

B.

- $\frac{8}{9}$ < x < $\frac{7}{9}$

C.

- $\frac{8}{9}$ < x < $\frac{5}{9}$

D.

- $\frac{7}{9}$ < x < $\frac{8}{9}$

View answer & explanation

Correct answer is A

$\frac{3}{4}$ (3x - 2) < $\frac{1}{2}$ ; $\frac{3}{4}$ (3x - 2) > - $\frac{1}{4}$

3(3x - 2) < 2; 3(3x - 2) > -1

9x - 6 < 2; 9x - 6 > -1

9x < 8; 9x > 5

x < $\frac{5}{9}$ ; x > $\frac{8}{9}$

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