WAEC Mathematics Past Questions & Answers - Page 222

1,106.

In the diagram, |PQ| = |PS| Which of the following statements is true?

A.

∠QPS = QRS

B.

|PO| = |RO|

C.

QR||PS

D.

∠PQR=∠PSR

Correct answer is D

No explanation has been provided for this answer.

1,107.

The arc of a circle 50 cm long, subtends angle of 75° at the center of the circle. Find correct to 3 significant figures, the radius of the circle. Take \(\pi = \frac{22}{7}\)

A.

8.74cm

B.

38.2cm

C.

61.2cm

D.

76.4cm

Correct answer is B

Length of arc = \(\frac{\theta}{360} \times 2\pi r\)

\(50 = \frac{75}{360} \times 2 \times \frac{22}{7} \times r\)

\(r = \frac{50 \times 360 \times 7}{75 \times 2 \times 22}\)

\(r = \frac{420}{11}\)

= 38.18 cm \(\approxeq\) 38.2 cm (3 sig. figs)

1,108.

The length of the parallel sides of a trapezium are 5cm and 7cm. If its area is 120cm\(^2\), find the perpendicular distance between the parallel sides

A.

5.0cm

B.

6.9cm

C.

10.0cm

D.

20.0cm

Correct answer is D

Area of trapezium = \(\frac{1}{2} (a + b)h\)

\(120 = \frac{1}{2} (5 + 7) \times h\)

\(120 = 6h\)

\(h = 20 cm\)

1,109.

A tap leaks at the rate of 2cm\(^3\) per seconds. How long will it take the tap to fill a container of 45 liters capacity? (1 liters = 1000cm\(^3\))

A.

8 hours

B.

6hr 15min

C.

4hr 25min

D.

3 hours

Correct answer is B

Total capacity of the container = 45 liters = 45 x 1000 

= 45000 cm\(^3\)

Time to fill the container = \(\frac{45000}{2}\)

= 22500 seconds

= \(\frac{22500}{3600}\)

= 6 hr 15 mins

1,110.

The height of a pyramid on square base is 15cm. if the volume is 80cm^3, find the area of the square base.

A.

8cm2

B.

9.6cm2

C.

16cm2

D.

25cm2

Correct answer is C

Volume of pyramid with square base = \(\frac{\text{base area} \times height}{3}\)

\(80 = \frac{\text{base area} \times 15}{3}\)

\(80 = 5 \times \text{base area}\)

\(\text{Base area} = 16 cm^2\)