Sets – Concepts, Notation, Types, Power Set, Universal Set

Grade 11 Maths Higher — Sets – Concepts, Notation, Types, Power Set, Universal Set: 25 practice questions with instant scoring and explanations.

1. If A = {x | x² - 5x + 6 = 0}, then A is:
2. The power set of {a, b} contains how many elements?
3. Which of the following is the power set of the empty set?
4. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8}, then A' =
5. The set {x | x ∈ ℕ and x² < 25} in roster form is:
6. Which of the following is a finite set?
7. If the power set of A has 128 elements, then n(A) =
8. Which of the following is an equivalent representation of the set {1, 3, 5, 7, 9}?
9. If A = {a, b, c} and B = {1, 2, 3, 4}, then the number of proper subsets of A is:
10. The universal set is best defined as:
11. Which set is a subset of every set?
12. If A = {x | x = 2n, n ∈ ℤ, -2 ≤ n ≤ 2}, then A =
13. The number of subsets of {a, {b, c}, d} is:
14. If P(A) denotes the power set of A, and |P(A)| = 32, then |A| =
15. Which of the following correctly describes a singleton set?
16. The set of all irrational numbers is:
17. If U = {1, 2, 3, ..., 10} and A = {1, 2, 5, 7}, then |A'| =
18. A set containing exactly 3 elements has how many non-empty proper subsets?
19. The set {x | x² + 1 = 0, x ∈ ℝ} is:
20. Which symbol represents 'is a subset of'?
21. If A ⊂ B, then A ∩ B =
22. The complement of an empty set is:
23. For sets A and B, if A ∩ B = ∅, they are called:
24. If A = {1, 2, 3}, which of the following is NOT a subset of A?
25. The number of elements in P(P(∅)) is: