JAMB Mathematics Past Questions & Answers - Page 88

437.

Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

A.

\(\frac{23}{5}\)

B.

-\(\frac{23}{5}\)

C.

-\(\frac{1}{8}\)

D.

\(\frac{21}{7}\)

Correct answer is C

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\)

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

438.

Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.

A.

18cm

B.

(18 + \(\frac{9\pi}{5}\))cm

C.

(9 + \(\frac{9\pi}{5}\))cm

D.

\(\frac{9\pi}{5}\)cm

Correct answer is B

Perimeter = 2r + \(\frac{\theta}{360}\) x 2\(\pi\)r
2(9) + \(\frac{36}{360}\) x 2 x \(\pi\) x 9 = 18 + \(\frac{9\pi}{5}\)

439.

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

A.

15

B.

25

C.

30

D.

50

Correct answer is B

Let x represent total number of pencils shared
B : S : T
2 : 3 : 5

2+3+5 = 10
\(\frac{2}{10}\) x x = 5
\(\frac{2x}{10}\) = 5
2x = 50
x = 25

440.

Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form

A.

1.36 x 10-4

B.

1.36 x 10-3

C.

1.36 x 10-1

D.

1.36 x 10-2

Correct answer is D

\(\frac{0.026 \times 0.36}{0.69}\) = \(\frac{26 \times 10^-3 \times 36 \times 10^-2}{69 \times 10^-2}\)

= 0.01356 = 1.36 x 10-2