Mathematics for IGCSE & O level - Sets (Section 2)
1
How is the set {1, 2, 3, 4} written in roster notation?
Відповідь
(B)
{1, 2, 3, 4}
2
Which of the following is an example of a finite set?
Відповідь
(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?
Відповідь
(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)?
Відповідь
(C)
{1, 2, 3, 4, 5, 6, 7, 8}
5
Which of the following are ways to define a set?
Відповідь
A
B
C
6
Which of the following best describes the meaning of n(A) in the context of sets?
Відповідь
(B)
The number of elements in set A
7
What does the set difference, A - B, represent?
Відповідь
(A)
All elements in A that are not in B.
8
Which of the following are true about sets?
Відповідь
(C)
A set can contain an infinite number of elements.
9
Which of the following sets is empty?
Відповідь
(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}.
Відповідь
(A)
{3, 4, 5}
11
What is the cardinal number of the empty set?
Відповідь
(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?
Відповідь
(B)
B ⊆ A
13
Which of the following are characteristics of a Venn diagram?
Відповідь
A
B
C
14
What is the value of n(A ∪ B) if n(A) = 10, n(B) = 8, and n(A ∩ B) = 3?
Відповідь
(B)
18
15
What does the symbol ⊈ mean in set notation?
Відповідь
(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)?
Відповідь
(A)
{1, 3, 5, 7, 9}
17
What is the definition of a set?
Відповідь
(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?
Відповідь
(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)?
Відповідь
(B)
25
20
If set A has 5 elements, how many subsets does it have?
Відповідь
(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?
Відповідь
(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?
Відповідь
(C)
6
23
What does it mean for a set 'A' to be a subset of set 'B'?
Відповідь
(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?
Відповідь
(D)
6
25
If A and B are disjoint sets, what is A ∩ B?
Відповідь
(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?
Відповідь
(B)
25
27
In the study of sets, which of the following statements are generally true?
Відповідь
(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
Відповідь
(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?
Відповідь
(A)
{1, 2}
30
What set is represented by the notation {x | x is a day of the week}?
Відповідь
(C)
The set of all days of the week.
31
Which statement is an example of De Morgan's Law?
Відповідь
(B)
(A ∪ B)' = A' ∩ B'
32
Which of the following is an example of a finite set?
Відповідь
(C)
The set of all days of the week
33
Which of the following notations represents the set difference of A and B?
Відповідь
(C)
A - B
34
The complement of a set A (denoted A') contains:
Відповідь
(B)
Elements not in A
35
The intersection of two sets A and B is the set of all elements that are ________.
Відповідь
(B)
In A and B
36
Which of the following is the correct way to represent 'x is not an element of set A'?
Відповідь
(B)
x ∉ A
37
The symbol ℰ represents the ________ set.
Відповідь
(B)
Universal
38
If A ⊆ B, and x ∈ A, then which of the following MUST be true?
Відповідь
(B)
x ∈ B
39
Given sets A, B, and C, which of the following is associative?
Відповідь
(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)'?
Відповідь
(A)
{6}
41
In a Venn diagram, other sets are shown as ________ or similar.
Відповідь
(C)
Circles
42
Which of the following operations is performed first in the order of operations related to sets?
Відповідь
(A)
Complement
43
What is the name given to sets that do not share any common elements?
Відповідь
(C)
Disjoint sets
44
Which Venn diagram shows two sets, P and Q, where there are no elements that are in both sets?
Відповідь
(B)
Two separate circles
45
If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3, 4}, what is (A ∩ B)'?
Відповідь
(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}?
Відповідь
(B)
{f}
47
Which of the following statements about the empty set (Ø) is FALSE?
Відповідь
(C)
The empty set is the complement of the universal set.
48
The set { } is also known as the _______ set.
Відповідь
(C)
Empty
49
Which of the following is the correct symbol for 'is a subset of'?
Відповідь
(B)
⊆
50
If A = {1, 3, 5} and B = {2, 4, 6}, which of the following correctly describes A and B?
