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.

136.

A rectangle with width \(\frac{3}{4}\)cm and area 3 \(\frac{3}{8}\)cm\(^2\). Find the length

A.

6cm

B.

4\(\frac{1}{2}\)cm

C.

2 \(\frac{5}{8}\)cm

D.

12cm

Correct answer is B

The area of a rectangle = length ✕ width

: Length = area ÷ width → 3 \(\frac{3}{8}\) ÷ \(\frac{3}{4}\)

= \(\frac{27}{8}\) * \(\frac{4}{3}\)

= 4\(\frac{1}{2}\)cm

137.

A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is read by 45% of the households.  The Evening Dispatch is read by 60% of the households.  Twenty percent of the households read both papers.  What is the probability that a particular household reads at least one paper?

A.

0.45

B.

0.65

C.

0.85

D.

0.95

Correct answer is C

Note that the group that reads both papers is being counted twice.

    (percentages add up beyond 100%)

Let M = those reading the Morning Times,

       E = those reading the Evening Dispatch

P( M or E) = P(M) + P(E) – P(M and E)

          = 0.45 + 0.60 – 0.20 

          = 0.85

138.

Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]

A.

15.5cm\(^3\)

B.

21.0cm\(^3\)

C.

142cm\(^3\)

D.

154cm\(^3\)

Correct answer is D

volume of a cone = π r2h → \(\frac{1*22*3.5*3.5*12}{3*7}\)

= 154cm\(^3\)

139.

The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.

A.

5cm

B.

7cm

C.

10cm

D.

15cm

Correct answer is C

Area of a trapezium = \(\frac{[a+b]h}{2}\) 

105 = \(\frac{[9+12]h}{2}\) → 105 x 2 =21h

h = \(\frac{210}{21}\) → 10cm

140.

Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Take π = \(\frac{22}{7}\)]

A.

72.57cm\(^3\)

B.

88.12cm\(^3\)

C.

10529cm\(^3\)

D.

113.14cm\(^3\)

Correct answer is D

Volume of sphere =  \(\frac{4πr^3}{3}\) →   \(\frac{4 x 22  x 3^3}{3}\)

=  \(\frac{792}{7}\)

= 113.14cm\(^3\)