4400 Higher June 2005 Paper 4 Q8
8
(a) The universal set, \(\mathscr{E} = \{\text{Angela’s furniture}\}\).
\(A = \{\text{Chairs}\}\).
\(B = \{\text{Kitchen furniture}\}\).
\(A = \{\text{Chairs}\}\).
\(B = \{\text{Kitchen furniture}\}\).
Describe fully the set \(A \cap B\).
(2)
(b) \(P = \{2, 4, 6, 8\}\).
\(Q = \{\text{Odd numbers less than } 10\}\)
\(Q = \{\text{Odd numbers less than } 10\}\)
(i) List the members of the set \(P \cup Q\).
(ii) Is it true that \(P \cap Q = \varnothing\)?
Explain your answer. (3)
Explain your answer. (3)
| Scheme | Marks |
|---|---|
| Kitchen chairs | B1 |
| belonging to Angela or “her” | B1 |
| (2) |
Notes
B1: Or equivalent. Must be clear that overlap is intended eg “chairs that are part of / common to kitchen furniture” “furniture that is both a chair and in the kitchen”
| Scheme | Marks |
|---|---|
| (i) 1, 2, 3, 4, 5, 6, 7, 8, 9 | B2 |
| (ii) Yes – no common members | B1 |
| (3) | |
| (5 marks) |
Notes
B2: −B1 each omission or extra
Any order, in a single list
Ignore negative odd numbers
B1: Or eg “No odd numbers in \(P\).” “\(P\) is even numbers, or \(Q\) is odd numbers.”
Must refer to sets or odd or even