4400 Higher November 2004 Paper 3 Q11
11 The universal set, \(\mathscr{E} = \{\text{Whole numbers}\}\)
\(A = \{\text{Multiples of 5}\}\)
\(B = \{\text{Multiples of 3}\}\)
Sets \(A\) and \(B\) are represented by the circles in the Venn diagram.

(a)
(i) On the diagram, shade the region that represents the set \(A \cap B'\).
(ii) Write down three members of the set \(A \cap B'\). (2)
\(C = \{\text{Multiples of 10}\}\).
(b)
(i) On the diagram draw a circle to represent the set \(C\).
(ii) Write down three members of the set \(A \cap B \cap C'\) (2)
| Scheme | Marks |
|---|---|
| (i) Answer: \(A \cap B'\) shaded | B1 |
| (ii) Answer: Eg 5, 10, 20 | B1 |
| (2) |
Notes
B1: No ft from diag
| Scheme | Marks |
|---|---|
| (i) Answer: Shape, wholly within \(A\) & overlapping \(B\) | B1 |
| (ii) Answer: Eg 15, 45, 75 | B1 |
| (2) | |
| (4 marks) |
Notes
B1: SC1: aii 30, 15, 45 & bii 30, 60, 90