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.

361.

If log\(_x\) 2 = 0.3, evaluate log\(_x\) 8.

A.

2.4

B.

1.2

C.

0.9

D.

0.6

Correct answer is C

log\(_x\)2 = 0.3

log\(_x\)8 =  log\(_x\)2\(^3\) = 3 log\(_x\)2

= 3 x 0.3 

= 0.9

362.

In XYZ, |YZ| = 32cm, < YXZ 53\(^o\) and XZY = 90\(^o\). Find, correct to the nearest centimetre, |XZ|

A.

31 cm

B.

25 cm

C.

20 cm

D.

13 cm

Correct answer is B

Tan 52\(^o\) = \(\frac{32}{\text{|XZ|}}\)

|XZ| = \(\frac{32}{Tan 52^o}\)

= 25cm

363.

If 2\(^{a}\) = \(\sqrt{64}\) and \(\frac{b}{a}\) = 3, evaluate a\(^2 + b^{2}\) 

A.

250

B.

160

C.

90

D.

48

Correct answer is C

2\(^a\) = \(\sqrt{64}\)

2\(^a\) = 8

2\(^a\) = 2\(^3\)

a = 3

b = 3\(^a\)

b = 3 x 3 = 9

a\(^2\) + b\(^2\) = 3\(^2\) + 9\(^2\) 

= 9 + 81 = 90

364.

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

365.

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