WAEC Mathematics Past Questions & Answers - Page 223

1,111.

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
\(=\frac{66}{2.64} = 25\)

1,112.

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.

1,113.

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.

1,114.

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

A.

\(\frac{1}{6}\)

B.

\(\frac{1}{4}\)

C.

\(\frac{-3}{2}\)

D.

\(\frac{-7}{6}\)

Correct answer is C

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

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

\(\frac{9 + 6x}{6x} = 0 \implies 9 + 6x = 0\)

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

1,115.

Solve the equation \(3y^2 = 27y\)

A.

y = o or 3

B.

y = 0 or 9

C.

y = -3 or 3

D.

y = 3 or 9

Correct answer is B

\(3y^2 = 27y\\
3y^2 - 27y = 0\\
3y(y - 9) = 0\\
3y = 0 or y - 9 = 0\\
y = 0 or y = 9\\
y = 0 or 9\)