Further Mathematics Past Questions and Answers

Find the angle between \((5i + 3j)\) and \((3i - 5j)\).

Find the coefficient of \(x^3\) in the binomial expansion of \((3x + 4)^4\) in ascending powers of x.

A function is defined by \(h : x \to 2 - \frac{1}{2x - 3}, x \neq \frac{3}{2}\). Find \(h^{-1}(\frac{1}{2})\).

The radius of a sphere is increasing at a rate \(3cm s^{-1}\). Find the rate of increase in the surface area, when the radius is 2cm.

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

What is the class mark of the median class?