4MA0 Foundation January 2016 Paper 1 Q17
17 \(\mathscr{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\)
\(A = \{1, 2, 3, 4, 5, 6\}\)
\(B = \{\text{odd numbers}\}\)
(a) List the members of \(A \cup B\) (1)
\(C\) is a set such that \(A \cap C = \{4, 5\}\)
The set \(C\) has 4 members.
(b) List the members of one possible set \(C\) (2)
| Scheme | Marks |
|---|---|
| 1, 2, 3, 4, 5, 6, 7, 9 | B1 |
| (1) |
Notes
B1: no repeats
| Scheme | Marks |
|---|---|
| eg. 4, 5, 7, 8 | B2 |
| (2) |
Notes
B2: for 4, 5, and any two of 7, 8, 9, 10
If not B2 then B1 for 4, 5 or
4, 5 and any one or two other numbers from the universal set or
4, 5, 7, 8, 9, 10 or
7, 8, 9, 10 or
Venn diagram with 4, 5 in intersection and any two correct numbers (eg. 8, 10) in C