Simplify \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div16\frac{1}{2}\)and correct your answer to the nearest whole number

Find the area of a rectangle of length 4cm and whose diagonal is 8cm, (Leave your answer in surd form)

Given that \(P\propto \frac{1}{\sqrt{r}}\) and p = 3 when r = 16, find the value of r when p = 3/2

Correct 0.04945 to two significant figures

Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)