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.

1,556.

Simplify \(\frac{x - 4}{4} - \frac{x - 3}{6}\)

A.

\(\frac{x - 18}{12}\)

B.

\(\frac{x - 6}{12}\)

C.

\(\frac{x - 18}{24}\)

D.

\(\frac{x - 6}{24}\)

Correct answer is B

\(\frac{x - 4}{4} - \frac{x - 3}{6}\) = \(\frac{3(x - 4) - 2(x - 3)}{12}\)

= \(\frac{3x -12 - 2x + 6}{12}\)

= \(\frac{3x - 2x - 12 + 6}{12}\)

= \(\frac{x - 6}{12}\)

1,557.

Simplify \(\frac{25 ^\frac{2}{3} \div 25 ^\frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}\)

A.

25

B.

\(\frac{1}{5}\)

C.

1

D.

\(\frac{1}{25}\)

Correct answer is C

\(\frac{25 \frac{2}{3} \div 25 \frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}\) = \(\frac{25^{4 - \frac{1}{6}}}{(\frac{1}{5})^{-7 + \frac{1}{6}}}\)

= \(\frac{25^{\frac{1}{2}}}{(\frac{1}{5})^{-1}}\)

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

= \(\frac{5}{5}\)

= 1

1,558.

Simplify: 11011\(_2\) - 1101\(_2\)

A.

101000\(_2\)

B.

1100\(_2\)

C.

1110\(_2\)

D.

1011\(_2\)

Correct answer is C

11011\(_2\) - 1101\(_2\) = 1110\(_2\)

1,559.

Evaluate (0.13)\(^3\)correct to three significant figures

A.

0.00219

B.

0.00220

C.

0.00300

D.

0.00390

Correct answer is B

(0.13)\(^3\) = 0.13 x 0.13 x 0.13 = 0.002197

= 0.00220 (3 s.f)

1,560.

The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?

A.

10%

B.

20%

C.

50%

D.

60%

Correct answer is C

Number that score less than 5: 5 + 6 + 4 + 3 + 2 = 20

Total number of students: 5 + 6 + 4 + 3 + 2 + 4 + 6 + 5 + 1 + 3 + 1 = 40.

%age of students that failed: \(\frac{20}{40} \times 100% = 50%\)