4MA0 Foundation January 2012 Paper 1 Q16
16
(a) \(\mathscr{E} = \{\text{Students in Year 12}\}\)
\(G = \{\text{Students who study German}\}\)
\(F = \{\text{Students who study French}\}\)
\(M = \{\text{Students who study Maths}\}\)
\(G = \{\text{Students who study German}\}\)
\(F = \{\text{Students who study French}\}\)
\(M = \{\text{Students who study Maths}\}\)
(i) \(G \cap M = \varnothing\)
Use this information to write a statement about the students who study German in Year 12
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)Preety \(\notin F\).
Use this information to write a statement about Preety.
(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)
\(A \cap B = \{2, 4\}\)
\(A \cup B = \{1, 2, 3, 4, 6, 8, 10\}\)
List all the members of set \(B\). (2)
| Scheme | Marks |
|---|---|
| (i) Answer: Does not study Maths No student studies (both) German and Maths Students who study German do not study Maths etc | B1 |
| (ii) Answer: (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) |
Notes
B2: (B1 for any 3 correct with no repetitions or additions)