Mathematics Past Questions and Answers

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:

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:

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:

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\(\sqrt{3}\)