O-LevelAdditional MathematicsFunctions4037/12 · Oct/Nov 2016 · Q15 Marks
Sets E, A and B are such that n(E) = 26, n(A ∩ B) = 7, n(A ∪ B) = 3 and n(B) = 15. Using a Venn diagram, or otherwise, find. It is given that E = {x :0 < x < 30}, P = {multiples of 5}, Q = {multiples of 6} and R = {multiples of 2}. Use set notation to complete the following statements.
- (a)(i)n(A),[1]
- (a)(ii)n(A ∪ B),[1]
- (a)(iii)n(A ∪ B)'.[1]
- (b)(i)Q _______ R,[1]
- (b)(ii)P ∩ Q = _______[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [1] (a)(i) 10
- [1] (a)(ii) 22
- [1] (a)(iii) 4
- [1] (b)(i) Q⊂R
- [1] (b)(ii) P∩Q = Ø, or { }
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