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.

3,291.

simplify; 2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

A.

2

B.

3

C.

2 - 2log32

D.

3 - log32

E.

4 - log32

Correct answer is B

2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

= \(\log_3 6^2 + \log_3 12 - \log_3 16\)

= \(\log_{3} (\frac{36 \times 12}{16})\)

= \(\log_{3} (27)\)

= \(\log_{3} 3^3\)

= \(3 \log_{3} 3\)

= 3

3,292.

Simplify: 16\(^{\frac{5}{4}}\) x 2\(^{-3}\) x 3\(^0\)

A.

0

B.

2

C.

4

D.

10

E.

20

Correct answer is C

16\(^{\frac{5}{4}}\) x 2\(^{-3}\) x 3\(^0\)

= \((2^4)^{\frac{5}{4}} \times 2^{-3} \times 1\)

= \(2^5 \times 2^{-3} \times 1\)

= \(2^2\)

3,293.

Express \( \frac{8.75}{0.025} \) in standard form

A.

3.5 x 10-3

B.

3.5 x 10-2

C.

3.5 x 101

D.

3.5 x 102

E.

3.5 x 103

Correct answer is D

\(\frac{8.75}{0.025}\)

= \(\frac{8750}{25}\)

= \(350\)

= \(3.5 \times 10^2\)

3,294.

Which of the following is equal to \(\frac{72}{125}\)

A.

\( \frac{2^3 \times 3^2}{5^3} \)

B.

\( \frac{2^4 \times 3}{5^3} \)

C.

\( \frac{2^3 \times 3}{5^3} \)

D.

\( \frac{2^4 \times 3}{5^5} \)

E.

\( \frac{2^2 \times 3^2 \times 4^2}{5^2} \)

Correct answer is A

\(\frac{72}{125} = \frac{8 \times 9}{5 \times 5 \times 5}\)

= \(\frac{2^3 \times 3^2}{5^3}\)

3,295.

Simplify: \(2\frac{1}{3} \div 2\frac{2}{3} \times 1\frac{1}{7}\)

A.

0

B.

1

C.

2

D.

3

E.

4

Correct answer is B

\(2\frac{1}{3} \div 2\frac{2}{3} \times 1\frac{1}{7}\)

= \(\frac{7}{3} \div \frac{8}{3} \times \frac{8}{7}\)

= \(\frac{7}{3} \times \frac{3}{8} \times \frac{8}{7}\)

= 1