O-LevelAdditional MathematicsFunctions4037/22 · May/June 2011 · Q24 Marks
(a) An outdoor club has three sections, walking, biking and rock-climbing. Using & to denote the set of all members of the club and W, B and R to denote the members of the walking, biking and rock-climbing sections respectively, write each of the following statements using set notation.
- (a)(i)There are 72 members in the club.[1]
- (a)(ii)Every member of the rock-climbing section is also a member of the walking section.[1]
- (b)(i)On the diagram shade the region which represents the set X ∪ Y'.[1]
- (b)(ii)Using set notation express the set X ∪ Y' in an alternative way.[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 2011). The mark or mark type is shown in brackets.
- [1] (a)(i) n(E) = 72 or n(W ∪ B ∪ R) = 72
- [1] (a)(ii) R ⊂ W or R ∩ W = R or R ∪ W = W or R ∩ W' = Ø
- [1] (b)(i) Diagram shaded correctly
- [1] (b)(ii) (X' ∩ Y)' or (X ∩ Y) ∪ Y' or (X ∪ Y) ∪ X or (X' ∩ Y') ∪ X
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