Shade $(A \cup B) \cap C'$ on the diagram below.

In the Venn diagram below, the number of elements in each region is given.

Find $n((P \cap Q) \cup R)$.

$U$ is the set of positive integers, ${\mathbb{Z}^ + }$.

$E$ is the set of even numbers.

$M$ is the set of multiples of $3$.

(i)     List the first six elements of the set $M$.

(ii)    List the first six elements of the set $E' \cap M$.

not shading $C$ or shading $A \cup B$     (A1)

correct shading     (A1)     (C2)

[2 marks]

Identifying the correct 5 numbers $3$, $4$, $5$, $6$, $9$     (A1)

$27$     (A1)     (C2)

[2 marks]

(i)     $M = \{ 3{\text{, }}6{\text{, }}9{\text{, }}12{\text{, }}15{\text{, }}18\}$ brackets not required.     (A1)

(ii)    $E' \cap M = \{ 3{\text{, }}9{\text{, }}15{\text{, }}21{\text{, }}27{\text{, }}33\}$ (ft) from (i).     (A1)(ft)     (C2)

[2 marks]

This question proved to be one of the easier questions with a number of candidates able to shade in the required region and finding values in a set. They still had problems with part (b).

This question proved to be one of the easier questions with a number of candidates able to shade in the required region and finding values in a set. They still had problems with part (b).

This question proved to be one of the easier questions with a number of candidates able to shade in the required region and finding values in a set. They still had problems with part (b).