E = {x: x is an integer 1 ≤ x ≤ 15} A = {x: x is a multiple of 3} B = {x: x is a factor of 30}
- (a)Write down the elements of A.[1]
- (b)Complete the Venn diagram. [Figure showing a Venn diagram with sets A and B][2]
- (c)x ∈ (A ∪ B)' Find the smallest value of x.[1]
- (d)Find n(A ∩ B') .[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 (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [1] 3, 6, 9, 12, 15
- [2] B1 for Venn diagram with 1 or 2 errors, omissions or repeats
- [2] or for correct Venn diagram with (A∪B)' blank
- [1] FT their Venn diagram
- [1] FT their Venn diagram
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