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.

2,646.

Find the median of 2,3,7,3,4,5,8,9,9,4,5,3,4,2,4 and 5

A.

9

B.

8

C.

7

D.

4

Correct answer is D

Arrange all the values in ascending order, 2,2,3,3,3,4,4,4,4,5,5,5,7,8,9,9

2,647.

The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number.

A.

126

B.

180

C.

216

D.

224

Correct answer is D

\(\frac{x}{7} = \frac{96}{1}\) ==> \(\frac{672 + x}{8} = 112\)

Therefore x = 224

2,648.

Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)

A.

1

B.

2

C.

3

D.

4

Correct answer is A

\(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)

= \([\tan \theta]_{0} ^{\frac{\pi}{4}}\)

= \(\tan \frac{\pi}{4} - \tan 0\)

= \(1 - 0\)

= 1.

2,649.

Evaluate \(\int^2_1(x^2 - 4x)dx\)

A.

\(\frac{11}{3}\)

B.

\(\frac{3}{11}\)

C.

\(-\frac{3}{11}\)

D.

\(-\frac{11}{3}\)

Correct answer is D

\(\int^2_1(x^2 - 4x)dx\)

\((\frac{x^3}{3} - \frac{4x^2}{2})\)

substituting integrate values

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

= \(-\frac{11}{3}\)

2,650.

If y = x2 - \(\frac{1}{x}\), find \(\frac{\delta y}{\delta x}\)

A.

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

B.

2x + x2

C.

2x - x2

D.

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

Correct answer is D

y = x2 - \(\frac{1}{x}\)

y = x2 - x-1

\(\frac{\delta y}{\delta x}\) = 2x + x-2


\(\frac{\delta y}{\delta x}\) = 2x + \(\frac{1}{x^2}\)