4MA0 Higher January 2012 Paper 3 Q6

EdexcelHigherOld spec4 marksSets

(a) \(\mathscr{E}\) = {Students in Year 12}
\(G\) = {Students who study German}
\(F\) = {Students who study French}
\(M\) = {Students who study Maths}

(i) \(G \cap M = \varnothing\)
Use this information to write a statement about the students who study German in Year 12

(ii) Preety is a student in Year 12
Preety \(\notin F\).
Use this information to write a statement about Preety.

(2)

(b) \(A\) = {2, 4, 6, 8, 10}
\(A \cap B\) = {2, 4}
\(A \cup B\) = {1, 2, 3, 4, 6, 8, 10}
List all the members of set \(B\). (2)

Mark scheme (a)

Scheme	Marks
(i) Does not study Maths No student studies (both) German and Maths Students who study German do not study Maths etc	B1
(ii) (Preety) does not study French (Preety) is not a member of (set) F	B1
	(2)

Notes

B1: Accept general answers (e.g. no student belongs in both sets).

B1: Accept she /he in place of Preety or omission of name.
Penalise extra incorrect statements (e.g. Preety studies Maths and German but not French)

Scheme	Marks
1,2,3,4	B2
	(2)
	(Total 4 marks)