Higher June 2022 Paper 2R Q4

EdexcelHigherCurrent spec5 marksSets

4 \(\mathscr{E} = \{9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}\)
\(A = \{\text{multiples of } 3\}\)
\(B = \{\text{odd numbers}\}\)

(a) List the members of the set

(i) \(A \cap B\) (1)

(ii) \(A \cup B\) (1)

(b) Is it true that \(24 \in A\)?
Tick one of the boxes below.

Give a reason for your answer. (1)

Set \(C\) has 4 members such that \(C \cap B^{\prime} = \{10, 18\}\)

Scheme	Marks
(i) 9, 15	B1
(ii) 9, 11, 12, 13, 15, 17, 18, 19	B1
	(2)

Mark scheme (b)

Scheme	Marks
No must be ticked along with a reason for the award of this mark Answer: No with a correct reason	B1
	(1)

Notes

B1: No with eg 24/it is not in the universal set, 24/it is not between 9 and 20
(need some sort of reference that the numbers in the sets do not go beyond 20)

Mark scheme (c)

Scheme	Marks
10, 18 and two from 9, 11, 13, 15, 17, 19	B2
	(2)
	(5 marks)

Notes

B2: for 10, 18 and two from 9, 11, 13, 15, 17, 19
(B1 a set of 4 numbers of which 3 are correct or a set of 5 numbers including 10, 18, and no more than one incorrect number or a set of 3 or more numbers from \(\{10, 18, 9, 11, 13, 15, 17, 19\}\))