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.

1,876.

When a dealer sells a bicycle for N81 he makes a profit of 80%. What did he pay for the bicycle?

A.

N73

B.

N74.52

C.

N75

D.

N87.48

E.

N75.52

Correct answer is C

Profit = 8%

\(\therefore S.P = N81 = (100 + 8)% = 108%\)

\(108% = N81\)

\(100% = \frac{81}{108} \times 100\)

= \(\frac{8100}{108} = N75\)

1,877.

Rationalize the denominator of the given expression \(\frac{\sqrt{1 + a} - \sqrt{a}}{1 + a + \sqrt{a}}\)

A.

1 + 2a - 2\(\sqrt{a(1 + a)}\)

B.

\(\sqrt{1(1 + a)}\)

C.

2a - 2\(\sqrt{a(1 + a)}\)

D.

1 + 2a - 2\(\sqrt{a + b}\)

Correct answer is A

\(\frac{\sqrt{1 + a} - \sqrt{a}}{1 + a + \sqrt{a}}\) = \(\frac{\sqrt{1 + a} - \sqrt{a}}{\sqrt{1 + a} + \sqrt{a}}\) x \(\frac{\sqrt{1 + a} - \sqrt{a}}{\sqrt{1 + a} - \sqrt{a}}\)

= \(\frac{\sqrt{1 + a + a}}{1 + a - a}\)

= 2a + a(1 + a)

= 1 + 2a - 2\(\sqrt{a(1 + a)}\)

1,878.

Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?

A.

7

B.

13

C.

17

D.

49

E.

169

Correct answer is D

124 - 54 = (122)2 - (52)2

= (122 + 52) x (122 - 52)

(144 + 25)(144 - 25)

= (169)(119)

Factors of above 169, 17, 13, 7

1,879.

Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)

A.

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

B.

\(\frac{5}{4}\)

C.

\(\frac{9}{4}\)

D.

4

E.

9

Correct answer is C

\((2^{0} + 4^{-\frac{1}{2}})^{2}\)

= \((1 + (\frac{1}{4})^{\frac{1}{2}})^{2}\)

= \((1 + \frac{1}{2})^{2}\)

= \((\frac{3}{2})^{2} = \frac{9}{4}\)

1,880.

Write down the number 0.0052048 correct to three significant figures

A.

0.005

B.

0.0052

C.

0.00520

D.

5.2048

E.

5204

Correct answer is C

0.0052048 = 0.00520