Mathematics Past Questions and Answers

A bowl is designed by revolving completely the area enclosed by y = x² - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?

If the volume of a hemisphere is increasing at a steady rate of 18π m\(^{3}\) s\(^{-1}\), at what rate is its radius changing when its is 6m?

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.

Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequency (f).
If a pie chart is used to depict the data, the angle corresponding to 4 is?