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WorksheetsSet Theory Practice
Total questions: 161
Worksheet time: 5hrs 13mins
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
If
P = The set of whole numbers less than 5
Q = The set of even numbers greater than 3 but less than 9
R = The set of factors of 6
Then what is (P ∩ Q) ∪ (Q ∩ R)?
{4}
{4, 6}
{4, 6, 8}
{1, 2, 3, 4, 6, 8}
{casey, drew, jade, glen}
{alex, glen, hunter, jade}
{casey, drew, glen}
{drew, jade}
{1, 3, 5}
{1, 2, 3}
{2, 3, 5}
{2}
Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to (A∪B)∩C ?
{purple}
{red}
{red, green}
{yellow, purple}
The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
{-4, -3, -2, -1, 0, 1, 2, 3}
{-3, -2, -1, 1, 2, 3}
{-4, -3, -2, -1, 1, 2, 3, 4}
{-4, -3, -2, -1, 1, 2, 3}
The universal set contains elements 1, 2, 3, 4, 5 ,6 and 7.
Set A contains even numbers.
What are the elements not in A.
{2, 4, 6}
{1, 3, 5, 7},
{1,2, 3, 5, 7}
{2, 3, 5, 7}
The universal set contains elements 1, 2, 3, 4, 5 ,6 and 7.
Set A contains even numbers.
Set B contains prime numbers.
What is A ∩ B?
{2}
{1, 2, 3, 5, 7},
{2, 3, 4, 5, 6, 7}
{2, 3, 5, 7}
The Universal Set = {-2, -1, 0, 1, 2, 3} and A = {0, 1}.
What is the complement of A?
{-2, -1, 0, 1, 2, 3}
{-2, -1, 2, 3}
{-2, 1, 2, 3,}
{-2, -1, 1, 2, 3}
A = {14, 16, 18, 20, 22, 24}
Which of the following is the symbol for element of?
∅
⊂
∈
⊂
How do you write "the complement of A"?
n(A)
(A)
∀
A'
What does
∈/ mean?Not an element of
Not extra
Not sometimes less than
There does not exist something
What is a finite set?
A set with a fixed number of elements
A set with more than 1 number
A set with limitless elements
A set with no elements
What is a NULL set
A set with no elements
A set where elements are not well-defined
A set 0 as one of the elements
A set with zero as the only element
What does disjoint mean?
When two sets have nothing in common
When two sets have at least one element in both
When two sets have the same number of elements
When two sets have different number of elements
A set that contains all the elements considered in a particular situation and denoted by U.
Universe
Universal
Universality
Uniset
Which of the following means any subset?
⊂
⊆
∈
=
Which of the following means proper subset?
⊂
⊆
∈
=
Give me an example of the subset of
A = { car, airplane. train}
{boat}
{motorbike, car}
{car, train}
{bicycle, train
True or False? {A,B} is subset from {A,B,C,D}
True
False
True or false? {1,2,3,4} is subset from {1,2,3,4,5,6,7,8,9}
True
False
If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.
A = {2, 4}
B = {13, 7, 9, 11, 5, 3, 1}
C = {2, 3, 4, 5}
D = {0}
What are the subsets of {0, 1, 2, 3, 4, 5}? (SELECT ALL THAT APPLY)
{0, 1,3, 4, 5}
{0, }
{0, 6, 2, 3, 4, 5}
{0, 1, 4,5}
{0, 1, 2, 3, 4, 5,8}
Which of these are the proper subsets of { g, r, e, a, t }? (There are more than one answer)
{ t, e, a }
{ g, a, t, e }
{ t, e, a, r }
{ g, r, a, t, e }
{ g, e, a, r }
True or false? {R,G,B} is a proper subset from {R,G,B}.
True
False
What does this symbol ( ∪ ) represent in set theory?
Union
Intersection
Disjointed
Subset
If A={6,8,10,12} then 5 ∈ A
True
False
Determine if these two sets are equal or equivalent.
A = {2, 6, 10, 14}
B = {6, 2, 14, 16}
Equal
Equivalent
Equal sets have
the exact same elements
the same number of elements
the opposite
nothing
Equivalent sets have
the opposite elements
nothing
the exact same elements
the same number of elements
True or False? {A,B} is subset from {A,B,C,D}
True
False
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
What does this symbol ( ∩ ) represent in set theory?
Union/OR
Intersection/AND
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
What do we call this diagram?
Wheel diagram
Circle diagram
Venn diagram
Euler diagram
How many students do not snowboard?
21
22
28
29
The venn diagram shows which sports are played by a class of students.
How many students are in the class?
20
25
30
35
The venn diagram shows which sports are played by a class of students.
How many students are taking tennis?
6
11
25
30
The venn diagram shows which sports are played by a class of students.
What is the probability of a student playing tennis but not soccer?
6
11
1/5
1/6
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play any of the three sports?
79/80
1/80
74/80
6/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play any of the three sports?
79/80
1/80
74/80
6/80
A set that contains all the elements considered in a particular situation and denoted by U.
Universe
Universal
Universality
Uniset
Which of the following means any subset?
⊂
⊆
∈
=
Which of the following means proper subset?
⊂
⊆
∈
=
Give me an example of the subset of
A = { car, airplane. train}
{boat}
{motorbike, car}
{car, train}
{bicycle, train
True or False? {A,B} is subset from {A,B,C,D}
True
False
True or false? {1,2,3,4} is subset from {1,2,3,4,5,6,7,8,9}
True
False
If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.
A = {2, 4}
B = {13, 7, 9, 11, 5, 3, 1}
C = {2, 3, 4, 5}
D = {0}
What are the subsets of {0, 1, 2, 3, 4, 5}? (SELECT ALL THAT APPLY)
{0, 1,3, 4, 5}
{0, }
{0, 6, 2, 3, 4, 5}
{0, 1, 4,5}
{0, 1, 2, 3, 4, 5,8}
Which are the proper subsets of { g, r, e, a, t }?
{ t, e, a }
{ g, a, t, e }
{ t, e, a, r }
{ g, r, a, t, e }
{ g, e, a, r }
True or false? {R,G,B} is a proper subset from {R,G,B}.
True
False
The Universal Set = {-2, -1, 0, 1, 2, 3} and A = {0, 1}.
What is the complement of A?
{-2, -1, 0, 1, 2, 3}
{-2, -1, 2, 3}
{-2, 1, 2, 3,}
{-2, -1, 1, 2, 3}
A = {14, 16, 18, 20, 22, 24}
How many subsets will this set have? A= {a, b, c} ?
8
6
3
0
Which of the following is the symbol for element of?
∅
⊂
∈
⊂
How do you write "the complement of A"?
n(A)
(A)
∀
A'
What does
∈/ mean?Not an element of
Not extra
Not sometimes less than
There does not exist something
What is a finite set?
A set with a fixed number of elements
A set with more than 1 number
A set with limitless elements
A set with no elements
What is a NULL set
A set with no elements
A set where elements are not well-defined
A set 0 as one of the elements
A set with zero as the only element
What does disjoint mean?
When two sets have nothing in common
When two sets have at least one element in both
When two sets have the same number of elements
When two sets have different number of elements
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
What is the complement of A?
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}
Given the following Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).
What is n(D ⋃ M)?
5
7
2
4
If A = {{1,2}, 3, 5, {6}}, then {6} ∈ A.
TRUE
FALSE
If A={6,8,10,12} then 5 ∈ A
True
False
What type of set is denoted as either { } or ∅?
Superset
Empty (or Null) Set
Disjointed Set
Subset
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
What is the complement of A?
A U B?
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
Identify the shaded area...
A
B
A'
B'
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?
What is the complement of A?
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
How many students took French and Spanish?
18
3
15
104
B = {2, 3, 5, 7}
What is A ∩ B ?
Which is the correct set notation for A intersection B ?
{12, 14, 15, 18, 21}
{10, 11, 12, 14, 15, 18, 21}
{10, 11, 13, 16, 17, 19, 20}
{21}
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
∉
⊂
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A∩B
A∪B
A'∩B'
A'∪B'
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A'∩B
A∩B'
A∪B'
A'∪B
Identify the shaded area...
A'∩B
A∩B'
A∪B'
A'∪B
P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?
P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}
R = {3, 6, 9}, and S = {6, 12, 18}
Then what is (P ∪ Q) ∩ (S ∪ R)?
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?
