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Worksheets

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Total questions: 126

Worksheet time: 3hrs 3mins

Name
Class
Date
1.

What does this symbol ( ∪ ) represent?

a)

Subset

b)

Intersection

c)

Union

d)

Null

2.

What does this symbol ( ∩ ) represent?

a)

Intersection

b)

Union

c)

Subset

d)

Null

3.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{2, 3, 5, 7}

b)

{3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

4.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set
5.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

14

c)

24

d)

2

6.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
7.

What is the correct symbol for subset?

a)

Ø

b)

\in  

c)

\cup  

d)

\subset  

8.

List the elements of the vowels in the word "circumference".

a)

{e, e, e, i, u}

b)

{c, m, f, r, n}

c)

{ }

d)

{i, u, e}

9.

Given: J = { p, a, n, d, e, m, i, c}

K = { c, a, m, e }

L = { }

Find: J ∪ K

a)

J ∪ K = { p, a, n, d, e, m, i, c }

b)

J ∪ K = { c, a, m, e}

c)

J ∪ K = { p, n, d, i }

d)

J ∪ K = { }

10.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
11.

A={1, 2, 3, 4, 5}A=\left\{1,\ 2,\ 3,\ 4,\ 5\right\}  

B={3, 4, 5, 6, 7}B=\left\{3,\ 4,\ 5,\ 6,\ 7\right\}  

AB=A\cup B=  

The union of set A and set B is the set containing all of the elements of set A and set B. The union combines the elements of both sets into one set. Common elements do not need to be repeated and can be listed once.

a)

{3, 4, 5}\left\{3,\ 4,\ 5\right\}  

b)

{1, 2}\left\{1,\ 2\right\}  

c)

{1, 2, 3, 4, 5, 6, 7}\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7\right\}  

d)

{6, 7}\left\{6,\ 7\right\}  

12.

A={1, 2, 3, 4, 5}A=\left\{1,\ 2,\ 3,\ 4,\ 5\right\}  

B={3, 4, 5, 6, 7}B=\left\{3,\ 4,\ 5,\ 6,\ 7\right\}  

AB=A\cap B=  

The intersection of set A and set B is the set containing the elements which sets A and B have in common. In other words, those elements that are in both sets A and B are in their intersection.

a)

{1, 2}\left\{1,\ 2\right\}  

b)

{3, 4, 5}\left\{3,\ 4,\ 5\right\}  

c)

{1, 2, 3, 4, 5, 6, 7}\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7\right\}  

d)

{6, 7}\left\{6,\ 7\right\}  

13.

X={red, blue, green}X=\left\{red,\ blue,\ green\right\}  

Y={orange}Y=\left\{orange\right\}  

XY=X\cup Y=  

a)

{ }\left\{\ \right\}  

the empty set

b)

{orange}\left\{orange\right\}  

c)

{red, blue, green}\left\{red,\ blue,\ green\right\}  

d)

{red, blue, green, orange}\left\{red,\ blue,\ green,\ orange\right\}  

14.

X={red, blue, green}X=\left\{red,\ blue,\ green\right\}  

Y={orange}Y=\left\{orange\right\}

XY=X\cap Y=  

a)

{ }\left\{\ \right\}  

the empty set

b)

{orange}\left\{orange\right\}  

c)

{red, blue, green}\left\{red,\ blue,\ green\right\}  

d)

{red, blue, green, orange}\left\{red,\ blue,\ green,\ orange\right\}  

15.

C={20, 30, 40}C=\left\{20,\ 30,\ 40\right\}  

D={20, 40}D=\left\{20,\ 40\right\}  

CD=C\cap D=  

a)

{ }\left\{\ \right\}  

the empty set

b)

{30}\left\{30\right\}  

c)

{20, 30, 40}\left\{20,\ 30,\ 40\right\}  

d)

{20, 40}\left\{20,\ 40\right\}  

16.

Who are all of the students who prefer bananas?

a)

Diana

b)

Ben

c)

Tiara

d)

Nico

e)

Susan

17.

Who are all of the elements in the set (Mangoes)?

a)

Tiara

b)

Ben

c)

Paul

d)

Francesca

e)

Susan

18.

What situation does this picture represent?

a)

A U B

b)

A \cap

c)

(A U B)'

d)

A'

e)

B'

19.

The Venn Diagram displays the number of students in Music, Science, and Neither. What is

(Music U Science)?

a)

12

b)

78

c)

115

d)

90

e)

25

20.

What does this picture display?

a)

A U B

b)

A \cap  B

c)

A'

d)

B'

e)

(A U B)'

21.

What is (Music \cap  Science)?

a)

115

b)

12

c)

78

d)

25

22.

What does the shaded region display?

a)

A U B

b)

A \cap  B

c)

A'

d)

B'

23.

What is (Science)'?

a)

37

b)

25

c)

78

d)

12

e)

103

24.

What is (Science)'?

a)

37

b)

25

c)

78

d)

12

e)

103

25.

Students at Red Bank High School took a survey about their interests. The Venn diagram to the left shows the results of students who like ice skating, skiing, and snowboarding. How many total students took the survey?

a)
32
b)
47
c)
53
d)
56
26.

According to the Venn diagram, how many students do not snowboard?

a)
21
b)
22
c)
28
d)
29
27.

Identify the shaded area...

a)

A

b)

B

c)

not A

d)

not B

28.

How many people own cats?

a)

3

b)

4

c)

6

d)

7

e)

10

29.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys do not play football or wrestle?

(a)  

30.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys play football?

(a)  

31.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys do not play football?

(a)  

32.

The Venn diagram shows the number of people at the gym signed up for yoga or aerobics class.

How many people are signed up for aerobics?

(a)  

33.

The Venn diagram shows the number of people at the gym signed up for yoga or aerobics class.

How many people are signed up for yoga but not aerobics?

(a)  

34.

The Venn diagram shows the number of sophomores with Facebook, Twitter, and Instagram accounts.

How many students an Instagram or Facebook?

(a)  

35.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
36.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
37.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
38.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
39.
Where would you place -6?
a)
In the whole number circle because it's a whole number, integer, and rational number.
b)
In the integer circle because it's an integer and rational number only.
c)
In the rational circle because it's only a rational number.
d)
I'm not sure because I don't know what rational means.
40.
-3.5 is an integer
a)
True
b)
False
41.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
42.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
43.
Let C={2, 5, 7, 10} and B={x|x is an odd whole number less than 10}. Find C  B
a)
{1,2,3,5,7,9,10}
b)
{2,4,5,6,7,8,10}
c)
{5,7}
44.
Let C={2, 5, 7, 10} and B={x|x is an odd whole number less than 10}. Find C U B
a)
{1,2,3,5,7,9,10}
b)
{2,4,5,6,7,8,10}
c)
{2, 4, 5, 6, 7, 8, 10}
45.
What is an interjection?
a)
is a word that connects words, sentences or phrases.
b)
a word or phrase that expresses emotion or feelings, gives a command or fills a silence.
c)
is a word that shows a relationship among other words in the sentence
d)
a person, place or thing
46.
Let C={2, 5, 7, 10} and B={x|x is an even whole number less than 9}. Find C ∩ B
a)
{2,4,6,8,10}
b)
{2,4,5,6,7,8,10}
c)
{2, 3, 4, 5, 6, 7, 8}
47.
Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B
a)
{1, 3, 4}
b)
{1, 2, 3, 4, 6,8}
c)
{1, 2, 3, 4, 5, 6, 7, 8}
48.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
49.
If Set A = MICHAEL and Set B = JORDAN, what is A ⋃ B?
a)
{MICHAELJORDAN}
b)
{MICHAELJORDN}
c)
{A}
d)
{  }
50.
Which of the following represents the shaded region?
a)
A or B
b)
A and B
c)
A'
d)
B'
51.
Which of the following represents the shaded region?
a)
A union B
b)
A intersect B
c)
A ⊂ B
d)
B ⊂ A
52.
Which of the following statements are true for the Venn diagram shown?
a)
A ∩ B = ⊘
b)
A ⋃ B = ⊘
c)
A ⋃ B = B
d)
A ⋂ B = B
53.
Which of the following statements are true for the Venn diagram shown?
a)
A ∩ B = ⊘
b)
A ⋃ B = ⊘
c)
A ⋃ B = A
d)
A ⋂ B = A
54.
Determine the number of people who participated in weight-training (W) and cardio (C).
a)
15
b)
54
c)
69
d)
75
55.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
56.

If C={1, 3, 5, 6, 7} and D={0, 3, 5, 9}, then C ⋃ D is...

a)

{3, 5}

b)

{0, 1, 3, 5, 6, 7, 9}

c)

{0, 1, 3, 3, 5, 5, 6, 7, 9}

d)

{0, 1, 6, 7, 9}

57.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a counting number
c)
Every integer is a whole number
d)
Every whole number is a rational number
58.

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.

a)

A = {2, 4}

b)

B = {13, 7, 9, 11, 5, 3, 1}

c)

C = {2, 3, 4, 5}

d)

D = {0}

59.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ A

a)

b)

60.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then R ⊂ P

a)

True

b)

False

61.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
62.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
63.
If
P = {0, 1, 2, 3, 4}, 
Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

a)
{4}
b)
{4, 6}
c)
{4, 6, 8}
d)
{1, 2, 3, 4, 6, 8}
64.
If
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?
 
a)
{1,3,5}
b)
{1,2,3}
c)
{2,3,5}
d)
{2}
65.
If 
U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, t
hen W' = . .  ..
 
a)
1, 3, 13, 15, 17}
b)
{1, 3}
c)
{2, 4, 6, 8, 10, 12, 14, 16}
d)
{1, 3, 5, 7, 9, 11, 13, 15, 17}{
66.

A = {huruf dalam perkataan 'MERDEKA'}

A={letters in the word 'MERDEKA'}

a)

A = {M, E, R, D , E , K , A}

b)

A = {M, R, D, E, K, A}

67.
a)

PQP⊂Q

b)

QPQ⊂P

68.

The elements of  ABA\cap B   are ...

a)

{1,4}

b)

{2,3}

c)

{5,7,11}

d)

{1,2,3,4,5,7,11}

69.

The elements of  ABA\cup B   are ...

a)

{1,4}

b)

{2,3}

c)

{5,7,11}

d)

{1,2,3,4,5,7,11}

70.

The elements of  ABA-B   are ...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

{5,6,7,8,9,10,11}

71.

The elements of  BAB-A   are ...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

{5,6,7,8,9,10,11}

72.

The elements of  AA'   are...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

{5,6,7,8,9,10,11}

73.

PQP-Q  

a)

{4,5,7,8}

b)

{4,8}

c)

{1,3}

d)

{2,6}

74.

QQ'  

a)

{2,4,5,7,8}

b)

{2,4,8}

c)

{1,3}

d)

{2,6}

75.

PP'  

a)

{2,4,5,7,8}

b)

{2,4,8}

c)

{1,3,7,5}

d)

{2,6}

76.

(AB)\left(A\cup B\right)'  

a)

{1,2,3,4,5,7,8}

b)

{1,3,4,8}

c)

{1,3,4,5,7,8}

d)

{5,7}

77.

Which of the following is the symbol for null set?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

78.

Which of the following is the symbol for element of?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

79.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

\forall

d)

A'

80.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

81.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
82.

What is intersection of A and B?

a)

A ∪ B

b)

c)

∉

d)

A ∩ B

83.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

84.
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
85.
Find n(A) when
A = {14, 16, 18, 20, 22,
24}
a)
6
b)
12
c)
4
d)
8
86.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
87.
What statement does the shaded region represent?
a)
A or B
b)
A and not B
c)
Not A
d)
Not A or B
88.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
89.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
90.

Which symbol completes the statement correctly? {6}____{1,3,6}

a)

ϵ\epsilon

b)

\subset

c)

==

d)

⊄\not\subset

91.

Which of these sets is equal to {L,O,V,E}?

a)

{O,V,E}

b)

{S,E,V,O,L}

c)

{O,E,L,V}

d)

{L,E,V}

92.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
93.

The venn diagram shows _________ of sets.

a)

Intersection

b)

Union

c)

Null

d)

Difference

94.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

95.

Example/s of a "well-defined set".

a)
b)
c)
d)
96.

It is a set containing all the elements and other sets including itself.

a)

Well-defined Set

b)

Finite Set

c)

Universal Set

d)

Null Set

97.

Which of the following is an example of a finite set?

a)

A set of positive numbers

b)

A set of whole numbers

c)

A set of whole numbers less than 100

d)

A set of negative numbers less than 100

98.

Which is an example of an infinite set?

a)

D = {a, b, c, d, ...}

b)

F = {x|x is a fraction from 1 to 5}

c)

Z is a set of integers

d)

M = {x|x is an integer, -12<x<12}

99.

A is a set of letters in a word "MEAN".

B is a set of letters in a word "NAME".

A and B are ______sets.

a)

Equivalent

b)

Equal

100.

M = {x|x is a letter in a word "FACE"}

N = {x|x is a letter in a word "SAFE"}

M and N are _____ sets.

a)

Equivalent

b)

Equal

101.

G is a set of letters in a word "Freebie".

What is the cardinality of set G?

a)

4

b)

5

c)

6

d)

7

102.

P = {x|x is a letter in a word "Challenging"}

a)

5

b)

6

c)

7

d)

8

103.

H = {f, a, i, t, h}

Translate set H into a word description form.

4 lines
104.

S is a set of whole numbers less than 20.

Translate set S into a Rule form.

4 lines
105.

This is a collection of well-defined distinct objects.

a)

Elements

b)

Relations

c)

Functions

d)

Sets

106.

The Objects in the sets are called _____.

a)

Characters

b)

Symbols

c)

Elements

d)

Samples

107.

State whether the following sets is well-defined or not well-defined.

The set of honest people in the Philippines.

(a)  

108.

State whether the following sets is well-defined or not well-defined.

The set of enjoyable subjects in high school.

(a)  

109.

State whether the following sets is well-defined or not well-defined.

The set of even counting numbers less than 30.

(a)  

110.

State whether the following sets is well-defined or not well-defined.

The set of prime numbers.

(a)  

111.

State whether the following sets is well-defined or not well-defined.

The sets of all beautiful women in the Philippines.

(a)  

112.

State whether the following sets is well-defined or not well-defined.

The set of big people.

(a)  

113.

State whether the following sets is well-defined or not well-defined.

The set of all colors in the rainbow.

(a)  

114.

State whether the following sets is well-defined or not well-defined.

The set of all factors of 100.

(a)  

115.

The two ways in presenting a set include:

a)

Listing Method

b)

Recursive Rule

c)

Rule Method

d)

FOIL Method

116.

A set with no element.

a)

Proper Subset

b)

Singleton Set

c)

Equal Set

d)

Null Set

117.

Two sets are _____if they contain exactly the same elements.

a)

Equal

b)

Universal

c)

Equivalent

d)

Power

118.

A set each of whose elements is an element of an inclusive set.

a)

Superset

b)

Proper Subset

c)

Subset

d)

Improper Subset

119.

The symbol for subset.

a)

b)

c)

Ø

d)

120.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
121.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
122.
Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A ∩ B
a)
{1, 3, 4}
b)
{1, 2, 3, 4, 6,8}
c)
{4}
123.

What is a complement Set A?

a)

The elements that belong to U

b)

The elements that belong to U and to set “A”

c)

The elements that do not belong to U and do not belong to set “A”

d)

The elements that belong to U and do not belong to set “A”

124.

Complement is denoted by

a)

A′

b)

A-B

c)

A∪B

125.

It is an operation on sets that contains elements that are common to both sets.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

126.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set