4400 Higher June 2010 Paper 4 Q6
6
(a) \(A = \{2, 3, 4, 5\}\)
\(B = \{4, 5, 6, 7\}\)
\(B = \{4, 5, 6, 7\}\)
(i) List the members of \(A \cap B\).
(ii) How many members are in \(A \cup B\)? (2)
(b) \(\mathscr{E} = \{3, 4, 5, 6, 7\}\)
\(P = \{3, 4, 5\}\)
Two other sets, \(Q\) and \(R\), each contain exactly three members.
\(P \cap Q = \{3, 4\}\)
\(P \cap R = \{3, 4\}\)
Set \(Q\) is not the same as set \(R\).
\(P = \{3, 4, 5\}\)
Two other sets, \(Q\) and \(R\), each contain exactly three members.
\(P \cap Q = \{3, 4\}\)
\(P \cap R = \{3, 4\}\)
Set \(Q\) is not the same as set \(R\).
(i) Write down the members of a possible set \(Q\).
(ii) Write down the members of a possible set \(R\). (2)
| Scheme | Marks |
|---|---|
| (i) Answer: 4, 5 | B1 |
| (ii) Answer: 6 | B1 |
| (2) |
Notes
B1: any order
B1: cao do not accept n(6)
| Scheme | Marks |
|---|---|
| (i) Answer: (\(Q\) =) 3, 4, 6 or 3, 4, 7 | B1 |
| (ii) sc B1 B0 for Q = 3, 4, 6 or 7 then R = 3, 4, 6 or 7 Answer: (\(R\) =) 3, 4, 7 or 3, 4, 6 | B1ft |
| (2) | |
| (4 marks) |
Notes
B1ft: R = 3, 4, 7 if Q = 3, 4, 6 // R = 3, 4, 6, if Q = 3, 4, 7