4400 Higher June 2006 Paper 4 Q5
5
(a) \(A = \{\text{Quadrilaterals with two pairs of parallel sides}\}\)
\(B = \{\text{Quadrilaterals with at least one right angle}\}\)
\(B = \{\text{Quadrilaterals with at least one right angle}\}\)
Write down the mathematical name for the quadrilaterals in
(i) \(A\),
(ii) \(A \cap B\). (2)
(b) The universal set \(\mathscr{E} = \{\text{Positive whole numbers}\}\)
\(P = \{\text{Multiples of 3 less than 11}\}\)
\(Q = \{\text{Multiples of 5 less than 11}\}\)
\(P = \{\text{Multiples of 3 less than 11}\}\)
\(Q = \{\text{Multiples of 5 less than 11}\}\)
(i) What is \(P \cap Q\)?
(ii) Is it true that \(10 \in P \cup Q\)?
Explain your answer. (2)
Explain your answer. (2)
| Scheme | Marks |
|---|---|
| (i) Parallelograms | B1 |
| (ii) Rectangles | B1 |
| (2) |
Notes
B1: Allow “Squares & rectangles”
| Scheme | Marks |
|---|---|
| (i) Ø or { } or empty oe | B1 |
| (ii) Yes. \(10 \in Q\) or 10 is mult of 5 or 3, 5, 6, 9, 10 listed | B1 |
| (2) | |
| (4 marks) |
Notes
B1: Allow “Intersection of \(P\) & \(Q\)” oe