JAMB Mathematics Past Questions & Answers - Page 21

101.

A poultry farmer realized 200 eggs from his birds and sold 5 \(\frac{1}{2}\) crates of eggs. What percentages of eggs are left?

A.

82.5%

B.

15%

C.

17.5%

D.

85%

Correct answer is C

5 crates = 30 eggs * 5 = 150eggs

1/2 crate = 15 eggs

Total sold = 165

remainder = 200 - 165 = 35

And 35 is equivalent 17.5% of the realized eggs 

102.

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

103.

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

104.

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

105.