O-LevelAdditional MathematicsFunctions4037/22 · May/June 2015 · Q15 Marks
The universal set contains all the integers from 0 to 12 inclusive. Given that A = {1, 2, 3, 8, 12}, B = {0, 2, 3, 4, 6} and C = {1, 2, 4, 6, 7, 9, 10}, [Figure 1.1]
- (i)complete the Venn diagram,[3]
- (ii)state the value of n(A' ∩ Β' ∩ C),[1]
- (iii)write down the elements of the set A' ∩ B ∩ C.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [B3,2,1,0] 2 correctly placed in Venn diagram;
- 1, 3, 4, 6 correctly placed;
- 12, 8, 0, 7, 9, 10 correctly placed;
- 11, 5 correctly placed
- [B1ft] correct or correct ft their (i), provided non-zero
- [B1ft] correct or correct ft their (i), provided not the empty set
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