(a(i))[1]
Simplify $p^3 \times p^{11}$ fully.
(a(ii))[2]
Simplify $\frac{18m^6}{3m^2}$ fully.
(a(iii))[3]
Simplify fully by evaluating $\left(\frac{27x^9y^{27}}{64}\right)^{\frac{1}{3}}$.
(b)[2]
Write down the first 3 terms in this sequence.
(c(i))[2]
Find the $n$th term of the sequence $13,\ 16,\ 19,\ 22,\ 25,\ldots$
(c(ii))[2]
Find the $n$th term of the sequence $3,\ 17,\ 55,\ 129,\ 251,\ldots$
(d)[3]
Solve for $x$: $\frac{3x-22}{4}=23$.
(e)[4]
Use the quadratic formula to solve $3x^2+8x-20=0$. Show all your working, and give your answers correct to 2 decimal places.