(a(i))[2]
Express 70 as a product of prime factors.
(a(ii))[2]
Work out the highest common factor (HCF) of 70 and 112.
(a(iii))[2]
Determine the lowest common multiple (LCM) of $70x^4y^2$ and $112x^3y^5$.
(b(i))[1]
Simplify the expression $a^{12} \div a^4$.
(b(ii))[2]
Work out $\frac{5}{2b} \times \frac{bc}{20}$.
(c)[2]
Solve the equation $4 + 2x = 15$.
(d)[3]
Solve the equation $\frac{34 + 2x}{5} = 4 - x$.
(e(i))[2]
Determine $P$ when $d = 7$ and $m = -8$.
(e(ii))[3]
Rearrange the formula to express $m$ as the subject.