Further Mathematics Past Questions and Answers

Simplify \(2\log_{3} 8 - 3\log_{3} 2\)

Evaluate \(\begin{pmatrix} 2 & 3 \\ 4 & 1 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix}\).

If the mean of -1, 0, 9, 3, k, 5 is 2, where k is a constant, find the median of the set of numbers.

Eight football clubs are to play in a league on home and away basis. How many matches are possible?

Two balls are drawn, from a bag containing 3 red, 4 white and 5 black identical balls. Find the probability that they are all of the same colour.