4MA0 Foundation June 2011 Paper 1 Q22
22 \(\mathscr{E} = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\)
\(A = \{\text{odd numbers}\}\)
\(P = \{\text{prime numbers}\}\)
(a) List the members of the set
(i) \(A \cap P\),
(ii) \(A \cup P\).
(2)(b)
(i) Is it true that \(8 \notin A\)?
Tick (✓) the appropriate box.
Yes ☐ No ☐
Tick (✓) the appropriate box.
Yes ☐ No ☐
(ii) Explain your answer.
(1)| Scheme | Marks |
|---|---|
| (i) Answer: 3, 5, 7, 11 | B1 |
| (ii) Answer: 2, 3, 5, 7, 9, 11 | B1 |
| (2) |
Notes
B1: cao
Brackets not necessary
B1: cao
(B0 if 3 or 5 or 7 or 11 repeated)
| Scheme | Marks |
|---|---|
| Yes and gives either a specific explanation eg 8 is not an odd number, 8 is an even number or a general explanation which shows understanding of the symbol \(\notin\) eg 8 is not a member of \(A\), 8 does not belong to the set of odd numbers. | B1 |
| (1) | |
| (Total 3 marks) |