Further Mathematics Past Questions and Answers

If \(\frac{^{8}P_{x}}{^{8}C_{x}} = 6\), find the value of x.

Evaluate \(\int_{1}^{2} [\frac{x^{3} - 1}{x^{2}}] \mathrm {d} x\).

If \(P = \begin{vmatrix} 1 & 1 \\ 2 & 1 \end{vmatrix}\), find \((P^{2} + P)\).

Which of the following is the semi- interquartile range of a distribution?

A stone is projected vertically with a speed of 10 m/s from a point 8 metres above the ground. Find the maximum height reached. \([g = 10 ms^{-2}]\).