Use set notation to describe the shaded region in the Venn diagram.

1. (a)Use set notation to describe the shaded region in the Venn diagram.[1]
2. (b)E 8 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {x: x is a factor of 12} B = {x : x is a multiple of 2} C = {x: x is a square number}
3. (b)(i)Show this information on the Venn diagram below.[2]
4. (b)(ii)Find n(A∩B).[1]
5. (b)(iii)Find n(A∩(B∪C)').[1]
6. (b)(iv)One subset in the Venn diagram in part (b)(i) has no elements. Use set notation to describe this subset.[1]
7. (c)(i)Write 540 as the product of its prime factors.[2]
8. (c)(ii)p is the smallest possible integer such that 540p is a square number. Find √540p, giving your answer as the product of its prime factors.[2]

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