O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · May/June 2010 · Q24 Marks
Copy the diagram and shade the region which represents the set A ∪ (B ∩ C').
- (a)Copy the diagram and shade the region which represents the set A ∪ (B ∩ C').[1]
- (b)Express, in set notation, the set represented by the shaded region.[1]
- (c)The universal set E and the sets P and Q are such that n(E) = 30, n(P) = 18 and n(Q) = 16. Given that n(P ∪ Q)' = 2, find n(P ∩ Q).[2]
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 2010). The mark or mark type is shown in brackets.
- B1 for Correct region shaded
- B1 for X'∪Y, (X∩Y')', X'∪(X∩Y), Y∪(X∩Y)', or Y∪(X'∩Y') oe
- M1 for 18+16+ 2 = 30 + x
- A1 for 6
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