O-LevelAdditional MathematicsEquations, inequalities and graphs4037/12 · May/June 2014 · Q25 Marks
(a) On the Venn diagrams below, draw sets A and B as indicated. (b) The universal set \mathcal{E} and sets P and Q are such that n(\mathcal{E}) = 20, n(P \cup Q) = 15, n(P) = 13 and n(P\cap Q) = 4. Find
- (a)(i)A \cap B = \emptyset[1]
- (a)(ii)A \subset B[1]
- (b)(i)n(Q),[1]
- (b)(ii)n((P\cup Q)')[1]
- (b)(iii)n(P\cap Q').[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 2014). The mark or mark type is shown in brackets.
- [B1] (a)(i) (Diagram for A ∩ B = ∅)
- [B1] (a)(ii) (Diagram for A ⊂ B)
- [B1] (b)(i) 6
- [B1] (b)(ii) 5
- [B1] (b)(iii) 9
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