4MA0 Foundation January 2014 Paper 2 Q21
21 \(\mathscr{E} = \{\)positive whole numbers less than 13\(\}\)
\(A = \{\)even numbers\(\}\)
\(B = \{\)multiples of 3\(\}\)
\(C = \{\)prime numbers\(\}\)
(a) List the members of the set
(i) \(A \cap B\)
(ii) \(B \cup C\)
(2)(b) Is it true that \(14 \in A\)?
Tick (✓) the appropriate box.
Yes \(\square\) No \(\square\)
Explain your answer. (1)
Tick (✓) the appropriate box.
Yes \(\square\) No \(\square\)
Explain your answer. (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 6, 12 | B1 |
| (ii) Answer: 2, 3, 5, 6, 7, 9, 11, 12 | B1 |
| (2) |
Notes
B1: Withhold mark if any numbers repeated.
| Scheme | Marks |
|---|---|
| No Universal set has only numbers less than 13 | B1 |
| (1) | |
| (Total 3 marks) |
Notes
B1: Dependent on “No” box being ticked.
(idea that 14 does not belong to ℰ).