Sets – Operations (Union, Intersection, Complement, Difference) & Venn Diagrams

Grade 11 Maths — Sets – Operations (Union, Intersection, Complement, Difference) & Venn Diagrams: 25 practice questions with instant scoring and explanations.

1. If A = {1, 2, 3} and B = {2, 3, 4}, find A ∪ B:
2. If A = {1, 2, 3} and B = {2, 3, 4}, find A ∩ B:
3. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6}, find A - B:
4. If U = {1, 2, 3, 4, 5} and A = {2, 4}, find A' (complement of A):
5. If A = {a, b, c} and B = {c, d, e}, find B - A:
6. Which property states A ∪ B = B ∪ A?
7. If A ∩ B = ∅, then A and B are:
8. De Morgan's Law states: (A ∪ B)' = ?
9. If A ⊆ B, then A ∪ B equals:
10. If A ⊆ B, then A ∩ B equals:
11. For any set A, A ∪ A' equals:
12. For any set A, A ∩ A' equals:
13. If A = {1, 2, 3} and B = {3, 4, 5}, find (A ∪ B) - (A ∩ B):
14. In a Venn diagram, the overlapping region of two circles represents:
15. If n(A) = 5, n(B) = 7, and n(A ∩ B) = 2, find n(A ∪ B):
16. The associative property for union states: (A ∪ B) ∪ C = ?
17. If A = {x, y, z} and B = {y, z, w}, then A ∩ B is:
18. The distributive law states: A ∩ (B ∪ C) = ?
19. If U = {1, 2, 3, 4, 5, 6}, A = {1, 3, 5}, B = {2, 3, 4}, find (A ∩ B)':
20. For any set A, A - A equals:
21. If A = {1, 2, 3}, then A - ∅ equals:
22. The number of elements in A ∪ B is given by:
23. In a Venn diagram of two sets, the region outside both circles represents:
24. If A = {prime numbers less than 10} and B = {odd numbers less than 10}, find A - B:
25. De Morgan's Law states: (A ∩ B)' = ?