Mathematics for IGCSE & O level - Sets (Section 2)
1
How is the set {1, 2, 3, 4} written in roster notation?
Trả lời
(B)
{1, 2, 3, 4}
2
Which of the following is an example of a finite set?
Trả lời
(C)
The set of all days in a week.
3
Which set operation is represented by the shaded region in a Venn diagram where two overlapping circles are shown, and only the area of one circle is shaded?
Trả lời
(D)
Set difference
4
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, then what is A ∪ B (the union of A and B)?
Trả lời
(C)
{1, 2, 3, 4, 5, 6, 7, 8}
5
Which of the following are ways to define a set?
Trả lời
A
B
C
6
Which of the following best describes the meaning of n(A) in the context of sets?
Trả lời
(B)
The number of elements in set A
7
What does the set difference, A - B, represent?
Trả lời
(A)
All elements in A that are not in B.
8
Which of the following are true about sets?
Trả lời
(C)
A set can contain an infinite number of elements.
9
Which of the following sets is empty?
Trả lời
(C)
The set of all triangles with four sides.
10
If A = {1, 2, 3} and B = {3, 4, 5}, find (A ∪ B) ∩ {3, 4, 5, 6}.
Trả lời
(A)
{3, 4, 5}
11
What is the cardinal number of the empty set?
Trả lời
(A)
0
12
If A = {x | x is an even number} and B = {x | x is a multiple of 4}, then what is the relationship between A and B?
Trả lời
(B)
B ⊆ A
13
Which of the following are characteristics of a Venn diagram?
Trả lời
A
B
C
14
What is the value of n(A ∪ B) if n(A) = 10, n(B) = 8, and n(A ∩ B) = 3?
Trả lời
(B)
18
15
What does the symbol ⊈ mean in set notation?
Trả lời
(B)
Is not a subset of
16
If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and set A = {2, 4, 6, 8, 10}, what is A' (the complement of A)?
Trả lời
(A)
{1, 3, 5, 7, 9}
17
What is the definition of a set?
Trả lời
(A)
A collection of shapes, letters, points or other objects.
18
If set A = {a, b, c} and set B = {d, e, f}, what is A ∩ B?
Trả lời
(B)
{ }
19
In a class of 30 students, 15 like apples, 10 like bananas, and 5 like both. How many students like either apples or bananas (or both)?
Trả lời
(B)
25
20
If set A has 5 elements, how many subsets does it have?
Trả lời
(D)
32
21
In a Venn diagram, what is the area outside of all circles representing sets, but inside the rectangle (representing the universal set) represent?
Trả lời
(B)
The complement of the union of the sets.
22
If there are 32 students in a class, and 18 study history and 20 study geography, and no student studies neither, how many students study BOTH history and geography?
Trả lời
(C)
6
23
What does it mean for a set 'A' to be a subset of set 'B'?
Trả lời
(A)
All elements of A are also elements of B
24
If A = {1, 2, 3} and B = {2, 3, 4, 5}, which number is NOT an element of A ∪ B?
Trả lời
(D)
6
25
If A and B are disjoint sets, what is A ∩ B?
Trả lời
(D)
The empty set
26
In a class of 40 students, 20 play football, 15 play basketball, and 10 play both. How many students play only one of these sports?
Trả lời
(B)
25
27
In the study of sets, which of the following statements are generally true?
Trả lời
(C)
Sets can be finite or infinite.
28
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 5} and B = {5, 6, 7}. Find A' ∪ B
Trả lời
(B)
{5, 6, 7, 8, 9, 10}
29
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. What does A - B represents?
Trả lời
(A)
{1, 2}
30
What set is represented by the notation {x | x is a day of the week}?
Trả lời
(C)
The set of all days of the week.
31
Which statement is an example of De Morgan's Law?
Trả lời
(B)
(A ∪ B)' = A' ∩ B'
32
Which of the following is an example of a finite set?
Trả lời
(C)
The set of all days of the week
33
Which of the following notations represents the set difference of A and B?
Trả lời
(C)
A - B
34
The complement of a set A (denoted A') contains:
Trả lời
(B)
Elements not in A
35
The intersection of two sets A and B is the set of all elements that are ________.
Trả lời
(B)
In A and B
36
Which of the following is the correct way to represent 'x is not an element of set A'?
Trả lời
(B)
x ∉ A
37
The symbol ℰ represents the ________ set.
Trả lời
(B)
Universal
38
If A ⊆ B, and x ∈ A, then which of the following MUST be true?
Trả lời
(B)
x ∈ B
39
Given sets A, B, and C, which of the following is associative?
Trả lời
(B)
(A ∩ B) ∩ C = A ∩ (B ∩ C)
40
If U = {1, 2, 3, 4, 5, 6}, A = {1, 2, 3}, and B = {3, 4, 5}, what is (A ∪ B)'?
Trả lời
(A)
{6}
41
In a Venn diagram, other sets are shown as ________ or similar.
Trả lời
(C)
Circles
42
Which of the following operations is performed first in the order of operations related to sets?
Trả lời
(A)
Complement
43
What is the name given to sets that do not share any common elements?
Trả lời
(C)
Disjoint sets
44
Which Venn diagram shows two sets, P and Q, where there are no elements that are in both sets?
Trả lời
(B)
Two separate circles
45
If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3, 4}, what is (A ∩ B)'?
Trả lời
(B)
{1, 3, 4, 5}
46
If A = {a, b, c} and B = {c, d, e}, what is (A ∪ B)' if the universal set is {a, b, c, d, e, f}?
Trả lời
(B)
{f}
47
Which of the following statements about the empty set (Ø) is FALSE?
Trả lời
(C)
The empty set is the complement of the universal set.
48
The set { } is also known as the _______ set.
Trả lời
(C)
Empty
49
Which of the following is the correct symbol for 'is a subset of'?
Trả lời
(B)
⊆
50
If A = {1, 3, 5} and B = {2, 4, 6}, which of the following correctly describes A and B?
