Mathematics Past Questions and Answers

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?

If U = {x : x is an integer and 1 \(\leq\) x \(\leq\) 20
E₁ = {x : x is a multiple of 3}
E₂ = {x : x is a multiple of 4}
and an integer is picked at random from U, find the probability that it is not in E₂

The variance of x, 2x, 3x, 4x and 5x is

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 10, 9, 7, 10, 6, 5

In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man and at least one woman must be included?