Further Mathematics Past Questions and Answers

Age in years	10 - 14	15 - 19	20 - 24	25 - 29	30 - 34
Frequency	6	8	14	10	12

In which group is the upper quartile?

Age in years	10 - 14	15 - 19	20 - 24	25 - 29	30 - 34
Frequency	6	8	14	10	12

Find the mean of the distribution.

A box contains 5 red and k blue balls. A ball is selected at random from the box. If the probability of selecting a blue ball is \(\frac{2}{3}\), find the value of k.

If \(\frac{x + P}{(x - 1)(x - 3)} = \frac{Q}{x - 1} + \frac{2}{x - 3}\), find the value of (P + Q).

Find the derivative of \(\sqrt[3]{(3x^{3} + 1}\) with respect to x.