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).