(a(i))[1]
Find $p$ for $q = 2.6$.
(a(ii))[2]
Express $q$ as an expression involving $p$.
(b(i))[2]
Show that $H = \dfrac{15}{x - 1}$ and $h = \dfrac{30}{2x + 3}$.
(b(ii))[3]
Find an expression in terms of $x$ for the height difference, $H - h$, between trapezium $A$ and trapezium $B$, and show that it simplifies to $\dfrac{75}{(x - 1)(2x + 3)}$.
(b(iii)(a))[2]
The height difference is $1.5\text{ cm}$. Show that $2x^2 + x - 53 = 0$.
(b(iii)(b))[2]
Find $x$, correct to $2$ decimal places.