Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

2,976.

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

2,977.

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.

2,978.

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.

2,979.

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

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

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

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

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

2,980.

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

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