Year : 
1997
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

41 - 45 of 45 Questions

# Question Ans
41.

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

B

42.

Find the volume of the prism

A. 990cm3

B. 880cm3

C. 550cm3

D. 495cm3

D

43.

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

Detailed Solution

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

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

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

= \(\frac{1}{5}\)
44.

The pie chart shows the income of a civil servant in a month. If his monthly income is N600, find his monthly basic salary

A. N2000

B. N2600

C. N3100

D. N3450

A

45.

In an examination, the result of a certain school is as shown in the histogram above. How many candidates did the school present?

A. 12

B. 16

C. 18

D. 19

Detailed Solution

3 + 5 + 8 + 1 + 2 = 19
41.

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

B

42.

Find the volume of the prism

A. 990cm3

B. 880cm3

C. 550cm3

D. 495cm3

D

43.

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

Detailed Solution

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

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

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

= \(\frac{1}{5}\)
44.

The pie chart shows the income of a civil servant in a month. If his monthly income is N600, find his monthly basic salary

A. N2000

B. N2600

C. N3100

D. N3450

A

45.

In an examination, the result of a certain school is as shown in the histogram above. How many candidates did the school present?

A. 12

B. 16

C. 18

D. 19

Detailed Solution

3 + 5 + 8 + 1 + 2 = 19