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.

1,961.

Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are

A.

3y - x = 0; 2y - x = 0

B.

3y - x = 14; x - 2y = 6

C.

3y - x =7; x - 2y = 6

D.

3y - x = 14; y - 2x = 6

E.

x + 3y = 7; x = 2y = 12

Correct answer is B

7 years ago, Father(x - 7) years old, Son (y - 7) years x - 7 = 3(y - 7) x - 7 = 3y - 21 3y - x = -7 + 21 = 14 3y - x = 14 ... (1) In six years time, x + 6 = 2(y + 6) x + 6 = 2y + 12 2y + 12 = x + 6 12 - 6 = x - 2y 6 = x - 2y ... (2)

1,962.

If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?

A.

N392.49

B.

N56.70

C.

N113.40

D.

N112.14

E.

N56.07

Correct answer is E

7 + 2 + 1 = 10

\(\frac{1}{10}\) x 560.70

= N56.07

1,963.

Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)

A.

1\(\frac{3}{4}\)

B.

-1

C.

1\(\frac{3}{10}\)

D.

1

E.

1\(\frac{9}{10}\)

Correct answer is D

3 - 2 \(\div\) (\(\frac{4}{5}\)) + \(\frac{1}{2}\)

3 - (2 x \(\frac{5}{4}\)) + \(\frac{1}{2}\) = 3 - \(\frac{10}{4}\) + \(\frac{1}{2}\)

= 3 - \(\frac{5}{2}\) + \(\frac{1}{2}\)

= \(\frac{6 - 5 + 1}{2}\)

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

= 1

1,964.

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A.

\(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)

B.

\(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)

C.

\(\sqrt{2} - \sqrt{5}\)

D.

5(\(\sqrt{2} - \sqrt{5}\)

E.

\(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

Correct answer is A

\(\frac{1}{\sqrt{2} + \sqrt{5}}\)

\(\frac{1}{\sqrt{2} + \sqrt{5}} \times \frac{(\sqrt{2} - \sqrt{5})}{(\sqrt{2} - \sqrt{5})}\)

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

= \(\frac{\sqrt{2} - \sqrt{5}}{-3}\)

= \(\frac{1}{3} (\sqrt{5} - \sqrt{2})\)

1,965.

A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours?

A.

120km/hr

B.

60km/hr

C.

670km/hr

D.

40km/hr

Correct answer is B

Speed = \(\frac{distance}{time}\)

let x represent the speed, d represent distance

x = \(\frac{d}{4}\)

d = 4x

2x = \(\frac{600 - d}{3}\)

6x = 600 - d

6x = 600 - 4x

10x = 600

x = \(\frac{600}{10}\)

= 60km/hr