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.

3,901.

Evaluate: \(\frac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}\)

A.

0.01286

B.

0.01285

C.

0.1286

D.

0.1285

Correct answer is A

\(\frac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}\)

= \(\frac{9 \times 10^{-10}}{7 \times 10^{-8}}\)

= \(1.2857 \times 10^{-2}\)

= \(0.012857 \approxeq 0.01286\) (to 4 s.f)

3,902.

Simplify \((\sqrt{0.7} + \sqrt{70})^{2}\)

A.

84.7

B.

70.7

C.

217.7

D.

168.7

Correct answer is A

\((\sqrt{0.7} + \sqrt{70})^{2}\)

= \((\sqrt{0.7} + \sqrt{70})(\sqrt{0.7} + \sqrt{70})\)

= \(0.7 + 2\sqrt{0.7 \times 70} + 70\)

= \(0.7 + 14 + 70 \)

= 84.7

3,903.

Simplify 52.4 - 5.7 - 3.45 - 1.75

A.

41.4

B.

41.5

C.

42.1

D.

42.2

Correct answer is B

52.4 - 5.7 - 3.45 - 1.75

= 52.4 - (5.7 + 3.45 + 1.75)

= 52.4 - 10.90

= 41.5

3,904.

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?

A.

95

B.

80

C.

125

D.

110

Correct answer is D

Hint: Represent the question in a venn diagram, such that
n(B ∩ M) = x
n(B) only = 125-x
n(M) only = 110-x
=> 125-x + 110-x + x = 220
=> x = 15.

n(B) only = 125 - 15 = 110

3,905.

Without using tables, evaluate \((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)

A.

10

B.

12

C.

8

D.

7

Correct answer is A

\((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)

= \(\sqrt[3]{343} \times (\frac{14}{100})^{-1} \times (\sqrt{25})^{-1}\)

= \(7 \times \frac{100}{14} \times \frac{1}{5}\)

= 10.