Intermediate November 2020 Unit 1 Q12
12.
(a) On each Venn diagram, shade the region that represents the given set.
(i) \(A \cup B\) [1]
(ii) \(A' \cap B\) [1]
(b) In the Venn diagram below:
- Set A = multiples of 3,
- Set B = multiples of 5,
- Set C = multiples of 6.
Explain why the circle representing Set C is drawn inside the circle drawn to represent Set A. [1]
| Scheme | Marks | Comments |
|---|---|---|
(i) | B1 | |
(ii) | B1 |
The answer region was shaded (in colour) in the original; it shows here as grey.
| Scheme | Marks | Comments |
|---|---|---|
| A valid statement. e.g. ‘all multiples of 6 are also multiples of 3’, ‘because 3 goes into 6’, ‘6 is a multiple of 3’, ‘3 is a factor of 6’. | E1 | Allow e.g. ‘(set) C is a subset of (set) A’, ‘it is a multiple of 3’, ‘ 6, 12, … are also multiples of 3’. |