(a(i))[3]
Complete the Venn diagram by filling in all of the regions.
(a(ii))[1]
Find $n(R')$ for this set.
(a(iii))[1]
List the elements belonging to $(P \cup R) \cap Q$.
(a(iv))[1]
Describe, in words, the kind of number represented by $P \cap R \cap Q'$.
(a(v))[2]
A number, $m$, is selected at random from the elements of $R$. Find the probability that $m$ is a multiple of $3$.
(b(i))[2]
Let $M = 2^{2x} \times 3^4 \times 5 \times 7$ and $N = 2^3 \times 3^{x-y} \times 5^2$. The lowest common multiple (LCM) of $M$ and $N$ is $2^8 \times 3^6 \times 5^2 \times 7$. Find the value of $x$ and the value of $y$.
(b(ii))[1]
Find the greatest square number that is a factor of $M$.
(b(iii))[1]
Find the highest common factor (HCF) of $M$ and $N$, and give the result as a product of prime factors.