Mathematics Past Questions and Answers

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?

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?