4MA0 Foundation June 2016 Paper 1 Q12
12 \(A = \{2, 4, 6, 8, 10, 12, 14\}\)
\(B = \{1, 3, 5, 7, 9, 11, 13\}\)
\(C = \{3, 6, 9, 12\}\)
(a) Complete the following sentence.
All the numbers in set \(C\) are ....................................................... of 3 (1)
All the numbers in set \(C\) are ....................................................... of 3 (1)
(b) List the members of the set
(i) \(A \cap C\)
(ii) \(A \cup C\)
(2)(c) Explain why \(A \cap B = \varnothing\) (1)
| Scheme | Marks |
|---|---|
| multiples | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (i) 6, 12 | B1 |
| (ii) 2, 3, 4, 6, 8, 9, 10, 12, 14 | B1 |
| (2) |
Notes
B1: cao
B1: cao
| Scheme | Marks |
|---|---|
| no members in common | B1 |
| (1) |
Notes
B1: accept , e.g. members of A are even and members of B are odd; no numbers the same