4400 Higher June 2009 Paper 3 Q8

EdexcelHigherOld spec5 marksSets

8 \(\mathscr{E} =\) {positive whole numbers}
\(A =\) {factors of 27}
\(B =\) {factors of 9}
\(C =\) {first four even numbers}

(a) List the members of \(A \cup B\). (2)

(b)

(i) Is it true that \(A \cap C = \varnothing\) ?
Tick (✓) the appropriate box.
Yes ☐ No ☐

(ii) Explain your answer.

(1)

Empty rectangle labelled with the universal set symbol

(2)

Scheme	Marks
1 3 9 27	B2
	(2)

Mark scheme (b)

Scheme	Marks
Yes and gives an explanation which either refers specifically to the members of \(A\) and their properties eg All the factors of 27 are odd. None of the factors of 27 are even. 2, 4, 6, 8 aren’t factors of 27. or gives a general explanation which shows understanding of the statement eg \(A\) and \(C\) have no members in common. The intersection of \(A\) and \(C\) is empty.	B1
	(1)

Notes

B1: for ‘Yes’ and an acceptable explanation
Do not accept an explanation which merely lists, without comment, the members of both sets.
Do not accept an explanation which includes the symbol \(\cap\) with no indication of its meaning.

Venn diagram: circle B inside circle A, circle C separate from A — Mark scheme (c)