O-LevelAdditional MathematicsFunctions4037/21 · May/June 2012 · Q66 Marks
By shading the Venn diagrams below, investigate whether each of the following statements is true or false. State your conclusions clearly.
- (i)A ∩ B' = (A' ∩ B)'[2]
- (ii)X ∩ Y = X' ∪ Y'[2]
- (iii)(P ∩ Q) ∪ (Q ∩ R) = Q ∩ (P ∪ R)[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 2012). The mark or mark type is shown in brackets.
- [2] (i) A ∩ B' shaded correctly; (A' ∩ B)' shaded correctly; And False B1 + B1
- [2] (ii) X ∩ Y shaded correctly; X' ∪ Y' shaded correctly; And False B1 + B1
- [2] (iii) (P ∩ Q) ∪ (Q ∩ R) shaded correctly; Q ∩ (P ∪ R) shaded correctly; And True B1 + B1
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