WAEC Past Questions and Answers - Page 2434

12,166.

Which of the following is true about parallelogram?

A.

opposite angles are supplementary

B.

opposite angles are complementary

C.

opposite angles are equal

D.

opposite angles are reflex angles

Correct answer is C

No explanation has been provided for this answer.

12,167.

If the total surface area of a solid hemisphere is equal to its volume, find the radius

A.

3.0cm

B.

4.5cm

C.

5.0cm

D.

9.0cm

Correct answer is B

T.S.A of hemisphere = 3\(\pi r^2\)

vol of hemisphere = \(\frac{2}{3} \pi r^3\)

3\(\pi r^2\) = \(\frac{2}{3} \pi r^3\)

3 = \(\frac{2}{3}r\)

9 = 2r

r = \(\frac{9}{2}\)

r = 4.5cm

12,168.

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

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

12,169.

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

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

12,170.

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\(^o\)

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 \(^o\)