JAMB Mathematics Past Questions & Answers - Page 120

597.

The pie chart shows the income of a civil servant in a month. If his monthly income is N6000, find his monthly basic salary

A.

N2050

B.

N2600

C.

N3100

D.

N3450

Correct answer is A

360º - (60º + 60º + 67º + 50º = 237º) 

360º - 237º = 123º

B. Salary = \(\frac{123}{360}\times N6000\)

= N2,050

598.

In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150o. If the angle XYZ = \(\theta\), calculate the value of sin\(\theta\)

A.

\(\frac{3}{5}\)

B.

\(\frac{1}{2}\)

C.

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

D.

\(\frac{1}{5}\)

Correct answer is D

\(\frac{5}{\sin 36^o} = \frac{2}{\sin \theta} = \frac{5}{\frac{1}{2}} = \frac{2}{\sin \theta}\)

10 = \(\frac{2}{\sin \theta}\)

sin\(\theta\) = \(\frac{2}{10}\)

= \(\frac{1}{5}\)

599.

Find the volume of the prism

A.

990cm3

B.

880cm3

C.

550cm3

D.

495cm3

Correct answer is D

No explanation has been provided for this answer.

600.

The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY

A.

\(\sqrt{630}\)cm

B.

\(\sqrt{626}\)cm

C.

\(\sqrt{615}\)cm

D.

\(\sqrt{600}\)cm

Correct answer is B

No explanation has been provided for this answer.