Mathematics 1980 Jamb Past Questions and Answers

Question 46 :

• JAMB 1980

In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

A. 3\(\pi\)\(\sqrt{2 - 1}\)cm
B. \(\frac{9}{2}\)\(\pi\)cm
C. 3 \(\pi\)(1 + \(\frac{2}{2}\))
D. 3(1 + \(\frac{2}{2}\))

Question 47 :

• JAMB 1980

The angles marked in the figure are measured in degrees. Find x.

A. 45^o
B. 90^o
C. 60^o
D. 15^o
E. 30^o

Question 48 :

• JAMB 1980

In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72^o. Find

A. 20^o
B. 36^o
C. 72^o
D. 30^o
E. 15^o

Question 49 :

• JAMB 1980

If \(\theta\) = \(\frac{3}{2}\) and \(\theta\) is less than 90^o, calculate tan \(\frac{(90 - \theta)}{cos^2\theta}\)

A. \(\frac{1}{2}\)
B. \(\frac{4}{\sqrt{3}}\)
C. \(\sqrt{3}\)
D. 4\(\sqrt{3}\)