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