Year : 
2016
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

21 - 30 of 50 Questions

# Question Ans
21.

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

Detailed Solution

There is an explanation video available below.
22.

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

Detailed Solution

There is an explanation video available below.
23.

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

Detailed Solution

There is an explanation video available below.
24.

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

Detailed Solution

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

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

\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)
There is an explanation video available below.
25.

\(\begin{array}{c|c}
Scores & 3 & 6 & 5 & 2 \\
\hline
Frequency & 2 & 3 & 4 & 6
\end{array}\)

From the table above, find the median

A. 3

B. 5

C. 4

D. 6

Detailed Solution

There is an explanation video available below.
26.

Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)

A. 3x2 - \(\frac{4}{x}\)

B. 2x2 +\(\frac{4}{x^2}\)

C. 3x2 + \(\frac{4}{x^2}\)

D. 2x2 - \(\frac{4}{x}\)

Detailed Solution

y = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)

\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\)
There is an explanation video available below.
27.

Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures.

A. 14.09

B. 14.1

C. 14.12

D. 14.11

Detailed Solution

There is an explanation video available below.
28.

An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc.

A. 6\(\pi\)cm

B. 2\(\pi\)cm

C. 3\(\pi\)cm

D. 9\(\pi\)cm

Detailed Solution

There is an explanation video available below.
29.

Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx

A. 2

B. -1

C. 1

D. -2

Detailed Solution

There is an explanation video available below.
30.

An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.

A. 24cm

B. 28cm

C. 36cm

D. 32cm

Detailed Solution

There is an explanation video available below.
21.

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

Detailed Solution

There is an explanation video available below.
22.

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

Detailed Solution

There is an explanation video available below.
23.

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

Detailed Solution

There is an explanation video available below.
24.

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

Detailed Solution

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

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

\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)
There is an explanation video available below.
25.

\(\begin{array}{c|c}
Scores & 3 & 6 & 5 & 2 \\
\hline
Frequency & 2 & 3 & 4 & 6
\end{array}\)

From the table above, find the median

A. 3

B. 5

C. 4

D. 6

Detailed Solution

There is an explanation video available below.
26.

Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)

A. 3x2 - \(\frac{4}{x}\)

B. 2x2 +\(\frac{4}{x^2}\)

C. 3x2 + \(\frac{4}{x^2}\)

D. 2x2 - \(\frac{4}{x}\)

Detailed Solution

y = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)

\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\)
There is an explanation video available below.
27.

Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures.

A. 14.09

B. 14.1

C. 14.12

D. 14.11

Detailed Solution

There is an explanation video available below.
28.

An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc.

A. 6\(\pi\)cm

B. 2\(\pi\)cm

C. 3\(\pi\)cm

D. 9\(\pi\)cm

Detailed Solution

There is an explanation video available below.
29.

Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx

A. 2

B. -1

C. 1

D. -2

Detailed Solution

There is an explanation video available below.
30.

An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.

A. 24cm

B. 28cm

C. 36cm

D. 32cm

Detailed Solution

There is an explanation video available below.