(a)[2]
$p = \frac{3q + 5}{r^2}$. Calculate the value of $p$ for $q = 15$ and $r = -4$.
(b)[2]
Expand and simplify $3(2x + 1) + 4(x - 5)$.
(c)[2]
Solve $\frac{3 - k}{4} = 1$ for $k$.
(d)[1]
$\frac{x^6}{x^m} = x^{-3}$. Find the value of $m$.
(e(i))[3]
A rectangular piece of card is $30\text{ cm}$ by $24\text{ cm}$. An open-box net is formed by cutting a square from each corner of the card. Each square removed has side $x\text{ cm}$. The area of the net is $576\text{ cm}^2$. Form an equation in $x$ and solve it to find the value of $x$.
(e(ii))[3]
The net is folded into an open box. $1000\text{ cm}^3$ of sand is poured into the box. Find the fraction of the box that is filled with sand. Give your answer in its simplest form.