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WAEC Mathematics Past Questions & Answers - Page 221

1,101.

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

8cm²

9.6cm²

16cm²

25cm²

View answer & explanation

Correct answer is C

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

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

$80 = 5 \times \text{base area}$

$\text{Base area} = 16 cm^2$

1,102.

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

2.5

View answer & explanation

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
$=\frac{66}{2.64} = 25$

1,103.

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

42^o

48^o

60^o

66^o

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,104.

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

r varies directly as p

p varies inversely as r

p varies directly as r

q varies inversely as p

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,105.

Find the value of x such that the expression $\frac{1}{x}+\frac{4}{3x}-\frac{5}{6x}+1$ equals zero

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{-3}{2}$

$\frac{-7}{6}$

View answer & explanation

Correct answer is C

$\frac{1}{x} + \frac{4}{3x} - \frac{5}{6x} + 1 = 0$

$\frac{6 + 8 - 5 + 6x}{6x} = 0$

$\frac{9 + 6x}{6x} = 0 \implies 9 + 6x = 0$

$6x = -9 \implies x = \frac{-3}{2}$

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