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.

1,811.

A cylinder of height h and radius r is open at one end. Its surface area is

A.

2\(\pi\)rh

B.

\(\pi\)r2h

C.

2\(\pi\)rh + \(\pi\)r2

D.

2\(\pi\)rh + 2\(\pi\)r2

Correct answer is C

A cylinder of height h ans radius r is open at one end, its surface area is 2\(\pi\)rh + \(\pi\)r2

1,812.

Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0

A.

\(\frac{1}{x}\)

B.

\(\frac{1 - x}{x}\)

C.

\(\frac{1 + x}{x}\)

D.

\(\frac{1}{x - 1}\)

E.

\(\frac{-x - 1}{1}\)

Correct answer is C

\(\frac{1 - x^2}{x - x^2}\), where x = \(\neq\) 0

\(\frac{1^2 - x^2}{x - x^2}\)

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

= \(\frac{1 + x}{x}\)

1,813.

For the set of numbers 2, 3, 5, 6, 7, 7, 8

A.

The median is greater than the mode

B.

The mean is greater than the mode

C.

The mean is greater than the median

D.

The median is equal to the mean

E.

The mean is less than the median

Correct answer is E

Mean = 5, 42

Median = 6

Mode = 7

The mean is less than the median

1,814.

12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?

A.

24

B.

18

C.

12

D.

9

E.

8

Correct answer is B

12 men in 9 days,

1 day in \(12 \times 9\) men

In 6 days we have \(\frac{12 \times 9}{6}\) men

= \(\frac{108}{6}\)

= 18 men

1,815.

Find the value of log\(_{10}\)\(\frac{1}{40}\), given that log10\(_4\) = 0.6021

A.

1.3979

B.

2.3979

C.

-1.6021

D.

2.6021

Correct answer is C

log\(_{10}\)\(\frac{1}{40}\) = log\(_{10}\)1 - (log\(_{10}\)4 + log\(_{10}\)10)

= 0 - 1.6021

= -1.6021