O-LevelAdditional MathematicsFunctions4037/11 · Oct/Nov 2011 · Q16 Marks
Sets A and B are such that n(A) = 15 and n(B) = 7. Find the greatest and least possible values of
- (a)(i)n(A∩B),[2]
- (a)(ii)n(A∪B).[2]
- (b)On a Venn diagram draw 3 sets P, Q and R such that P∩ Q = Ø and P∪R = P.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.
- [2] (a)(i) 7 and 0
- [2] (a)(ii) 22 and 15
- [1] (b) 3 'sets' enclosed in a rectangle
- [1] (b) B1 for set P and set Q separate
- [1] (b) B1 for set R contained within set P
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