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.

3,676.

If log\(_{x^{1/2}}^{64}\)  = 3, find the value of x

A.

4

B.

16

C.

32

D.

64

Correct answer is B

If logx1/264 = 3
(X 1/2)3 = 64
(X 1/2)3 = 4 3
X 1/2 = 4
X = 42
X = 16

3,677.

simplify \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\)

A.

3/8

B.

2/3

C.

3/4

D.

3/2

Correct answer is A

\(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\\
=\frac{1}{16^{\frac{1}{2}}}\times \frac{1}{4^{\frac{1}{2}}}\times 27^{\frac{1}{3}}\\
=\frac{1}{\sqrt{16}} \times \frac{1}{\sqrt{4}} \times sqrt[3]{27}\\
=\frac{1}{4} \times \frac{1}{2} \times \frac{3}{1}\\
= \frac{3}{8}\)

3,678.

The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase?

A.

42%

B.

41%

C.

40%

D.

25%

Correct answer is A

N85 - N60 = N25 increase
∴percentage increase = \(\frac{25}{60}\times \frac{100}{1}\\=\frac{125}{3}\\=41.67%\\
=42%\)

3,679.

calculate the simple interest on N7,500 for 8 years at 5% per annum.

A.

N3,000

B.

N600

C.

N300

D.

N150

Correct answer is A

\(I = \frac{P \times T \times R}{100}\\
=\frac{7500 \times 8 \times 5}{100}\\
=N3000\)

3,680.

Express 123456 to 3 significant figures

A.

123000

B.

124000

C.

125000

D.

126000

Correct answer is A

123456 \(\approxeq\) 123000.