O-LevelMathematicsNumber4024/11 · May/June 2015 · Q184 Marks
ε = { x : x is an integer, 40 ≤ x ≤ 50 } P = { x : x is a prime number } Q = { x : x is a multiple of 6 }
- (a)(i)Find n(P).[1]
- (a)(ii)List the members of Q.[1]
- (b)In a group of 25 people, 11 people own both a bicycle and a skateboard, 6 people own neither a bicycle nor a skateboard, n people own a bicycle. Find the smallest and the largest possible values of n.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [1] 3
- [1] 42, 48
- [2] smallest = 11 largest = 19
- M1 for Venn diagram with n −11, 11 and 6 correctly placed or n − 11 + 11 + x + 6 = 25 soi
- Or B1 for either answer correct
- Or C1 for reversed answers
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