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.

381.

The total surface area of a solid cylinder 165cm\(^2\). Of the base diameter is 7cm, calculate its height. [Take \(\pi = \frac{22}{7}\)]

A.

7.5 cm

B.

4.5 cm

C.

4.0 cm

D.

2.0 cm

Correct answer is C

165 = 2 x \(\frac{22}{7}\) x \(\frac{7}{2}\) x h + 2 x \(\frac{22}{7}\) x \(\frac{7}{2}\) x \(\frac{7}{2}\)

165 = 22h + 77 

\(\frac{22h}{22} = \frac{88}{22}\)

height = 4cm

382.

Which of these values would make \(\frac{3p^-}{p^{2-}}\) undefined? 

A.

1

B.

\(\frac{1}{3}\)

C.

-\(\frac{1}{3}\)

D.

-1

Correct answer is A

P\(^2\) - p = 0

p(p - 1) = 0

p = 0 or p = 1

383.

Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\) 

A.

\(\frac{x - 7}{x + 7}\)

B.

\(\frac{x + 7}{x - 7}\)

C.

\(\frac{x - 2}{x + 4}\)

D.

\(\frac{x + 2}{x - 2}\)

Correct answer is D

\(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)

\(\frac{(x - 7)(x + 2)}{(x - 7)(x - 2)}\)

= \(\frac{x + 2}{x - 2}\) 

384.

There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy? 

A.

\(\frac{1}{6}\)

B.

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

C.

\(\frac{2}{3}\)

D.

\(\frac{1}{2}\)

Correct answer is C

Total number of people in the lift = 8 boys + 4 girls

= 12 people

probability that a boy comes out = \(\frac{8}{12}\) = \(\frac{2}{3}\) 

385.

If (0.25)\(^y\) = 32, find the value of y.

A.

y = - \(\frac{5}{2}\)

B.

y = -\(\frac{3}{2}\)

C.

y = \(\frac{3}{2}\)

D.

y = \(\frac{5}{2}\)

Correct answer is A

(0.25)\(^y\) = 32

2\(^{-2y}\) = 3\(^{2}\)

2 - 2y = 5 

y = - \(\frac{5}{2}\)