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.

846.

Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)

A.

3x2 - \(\frac{4}{x}\)

B.

2x2 +\(\frac{4}{x^2}\)

C.

3x2 + \(\frac{4}{x^2}\)

D.

2x2 - \(\frac{4}{x}\)

Correct answer is B

No explanation has been provided for this answer.

848.

Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

A.

\(\frac{23}{5}\)

B.

-\(\frac{23}{5}\)

C.

-\(\frac{1}{8}\)

D.

\(\frac{21}{7}\)

Correct answer is C

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

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

\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)

849.

Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.

A.

18cm

B.

(18 + \(\frac{9\pi}{5}\))cm

C.

(9 + \(\frac{9\pi}{5}\))cm

D.

\(\frac{9\pi}{5}\)cm

Correct answer is B

Perimeter = 2r + \(\frac{\theta}{360}\) x 2\(\pi\)r
2(9) + \(\frac{36}{360}\) x 2 x \(\pi\) x 9 = 18 + \(\frac{9\pi}{5}\)

850.

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

A.

15

B.

25

C.

30

D.

50

Correct answer is B

Let x represent total number of pencils shared
B : S : T
2 : 3 : 5

2+3+5 = 10
\(\frac{2}{10}\) x x = 5
\(\frac{2x}{10}\) = 5
2x = 50
x = 25