4MA0 Foundation January 2018 Paper 2 Q22
22 \(\mathscr{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\)
\(A = \{\text{even numbers}\}\)
\(B = \{4, 7, 8, 11\}\)
(a) List the members of \(A \cup B\) (1)
(b) Is it true that \(20 \in A\)?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
\(C\) is a set such that \(A \cap C = \varnothing\) and \(B \cap C = \{7\}\)
The set \(C\) has 3 members.
(c) List the members of one possible set \(C\). (2)
| Scheme | Marks |
|---|---|
| 2, 4, 6, 7, 8, 10, 11, 12 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| No with reason | B1 |
| (1) |
Notes
B1: e.g. 20 is not in the universal set
set \(A\) only goes up to 12 etc
| Scheme | Marks |
|---|---|
| e.g. 1, 3, 7 | B2 |
| (2) |
Notes
B2: For 7 and any two of 1, 3, 5, 9
if not B2 then award B1 for three values of which two are correct or for 7 and three or four correct values, none incorrect