4MA0 Higher January 2016 Paper 3R Q17
17 \(\mathscr{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13\}\)
\(A = \{3, 7, 11, 13\}\)
\(B = \{3, 6, 9, 12, 13\}\)
\(C = \{2, 3, 5, 6, 7, 8\}\)
(a) Complete the Venn diagram.
(1)

(b) List the members of the set \(B' \cap C\) (1)
(c) List the members of the set \((A \cup C)' \cap B\) (1)
(d) Find \(n(A' \cap B')\) (1)
| Scheme | Marks |
|---|---|
![]() | B1 |
| (1) |
Notes
B1: 6 and 11 in correct regions
Note: Award B0 for any numbers added to incorrect regions
| Scheme | Marks |
|---|---|
| {2, 5, 7, 8} | B1 |
| (1) |
Notes
B1: ft from Venn diagram
Ignore brackets and separators.
| Scheme | Marks |
|---|---|
| {9, 12} | B1 |
| (1) |
Notes
B1: ft from Venn diagram
Ignore brackets and separators.
| Scheme | Marks |
|---|---|
| 6 | B1 |
| (1) |
Notes
B1: ft from Venn diagram
