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.

1,846.

Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?

A.

7

B.

13

C.

17

D.

49

E.

169

Correct answer is D

124 - 54 = (122)2 - (52)2

= (122 + 52) x (122 - 52)

(144 + 25)(144 - 25)

= (169)(119)

Factors of above 169, 17, 13, 7

1,847.

Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)

A.

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

B.

\(\frac{5}{4}\)

C.

\(\frac{9}{4}\)

D.

4

E.

9

Correct answer is C

\((2^{0} + 4^{-\frac{1}{2}})^{2}\)

= \((1 + (\frac{1}{4})^{\frac{1}{2}})^{2}\)

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

= \((\frac{3}{2})^{2} = \frac{9}{4}\)

1,848.

Write down the number 0.0052048 correct to three significant figures

A.

0.005

B.

0.0052

C.

0.00520

D.

5.2048

E.

5204

Correct answer is C

0.0052048 = 0.00520

1,849.

Find, correct to three significant figures, the value of \(\sqrt{41830}\).

A.

205

B.

647

C.

2050

D.

6470

E.

64.7

Correct answer is A

\(\sqrt{41830} = 204.5238\)

\(\approxeq 205\) (to three significant figures)

1,850.

What is the length of an arc of a circle that substends 2\(\frac{1}{2}\) radians at the centre when the raduis of the circle = \(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\) then

A.

p< 0

B.

p\(\geq\) 0

C.

p \(\leq\) 0

D.

p < 1

E.

p > 0

Correct answer is E

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

= \(\frac{k^2 + (k + 1)^2}{k(k + 10}\)

= \(\frac{2k^2 + 2k + 1}{k(k + 1}\)

let k = \(\frac{1}{2}\)

p = \(\frac{10}{3}\)

p > 0