Mathematics Past Questions and Answers

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

A \(\frac{\pi r}{3}\)
B \(\frac{\pi r}{2}\)
C \(\frac{\pi r}{12}\)
D \(\frac{\pi r}{6}\)

Question 32:

A sector of circle of radius 7.2cm which substends an angle of 300\(^o\) at the centre is used to form a cone. What s the radius of the base of the cone?

A 8cm
B 9cm
C 6cm
D 7cm

Question 33:

A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?

A 25m
B 23m
C 22m
D 20m

Question 34:

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?

A 180\(^o\)
B 36\(^o\)
C 60\(^o\)
D 108\(^o\)

Question 35:

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio

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