WAEC Past Questions and Answers - Page 3922

19,606.

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

19,607.

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

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

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

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

19,608.

A bicycle wheel of radius 42cm is rolled over a distance 66 meters. How many revolutions does it make?[Take \(\pi = \frac{22}{7}\)]

A.

2.5

B.

5

C.

25

D.

50

Correct answer is C

circumference of the bicycle wheel
\(= 2\pi r = 2 \times \frac{22}{7} \times 42 - 264cm = 2.64m\\\)
Number of revolution
\(=\frac{66}{2.64} = 25\)

19,609.

In the diagram, PQS is a circle with center O. RST is a tangent at S and ∠SOP = 96o. Find ∠PST

A.

42o

B.

48o

C.

60o

D.

66o

Correct answer is B

No explanation has been provided for this answer.

19,610.

Given that p varies directly as q while q varies inversely as r, which of the following statements is true?

A.

r varies directly as p

B.

p varies inversely as r

C.

p varies directly as r

D.

q varies inversely as p

Correct answer is B

No explanation has been provided for this answer.