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.

196.

What will be the result obtained when the numerator of \(\frac{96}{50}\) is decreased by 37.5% and its denominator decreased by 20%.

A.

1.5

B.

\(\frac{5}{2}\)

C.

\(\frac{96}{48}\)

D.

0.5

Correct answer is A

Numerator: 96 → 37.5% of 96 = 36

Decreased by 36 → 96 - 36

New numerator = 60

 

Denominator: 50 → 20% of 50 = 10

Decreased by 10 → 50 - 10 = 40

New Denominator = 40

 

New fraction = \(\frac{60}{40}\) or 1.5

197.

The locus of points equidistant from a fixed point.

A.

circle

B.

perpendicular lines

C.

straight line

D.

bisector

Correct answer is A

Definition of a circle

198.

Evaluate Log\(_2\) 8√2

A.

3.0

B.

4.5

C.

3.5

D.

2.5

Correct answer is C

where Log\(_2\) 8√2 → Log\(_2\) √128 

→ Log\(_2\) 128\(^\frac{1}{2}\)

= \(\frac{1}{2}\) * (Log\(_2\) 128) → \(\frac{1}{2}\) * (Log\(_2\) 2\(^7\))

=  7 * \(\frac{1}{2}\) * (Log\(_2\) 2)

where (Log\(_2\) 2) = 1 

→  7 * \(\frac{1}{2}\) * 1

= \(\frac{7}{2}\) or 3.5

199.
200.

Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the formula

A.

v = 3 \(πr^2\) h

B.

v = \(\frac{πrh}{3}\)

C.

v = \(\frac{πr^2h}{3}\)

D.

v = 3πrh

Correct answer is C

square both sides to remove the big square root

→ r\(^2\) = \(\frac{3v}{πh}\)

cross multiply

3v = r\(^2\) * πh

v = \(\frac{πr^2h}{3}\)