Processing math: 38%

WAEC Mathematics Past Questions & Answers - Page 220

1,096.

The area of a circle is 38.5cm2. Find its diameter [take π=227]

A.

22cm

B.

14cm

C.

7cm

D.

6cm

Correct answer is C

πr2=38.5=r2=38.5r2=38.5×722r=12.25=3.5diameter=2r=2×3.5=7cm

1,097.

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.

1,098.

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 π=227

A.

8.74cm

B.

38.2cm

C.

61.2cm

D.

76.4cm

Correct answer is B

Length of arc = θ360×2πr

50=75360×2×227×r

r=50×360×775×2×22

r=42011

= 38.18 cm 38.2 cm (3 sig. figs)

1,099.

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

1,100.

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