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1.

It is a collection of well-defined group of objects.

a)

Element

b)

Set

c)

Cardinality

d)

Universal Set

2.

1. Which best describe the set

{0, 2, 4, 6, …}?

a)

Set of all counting numbers divisible by 2

b)

Set of all composite numbers

c)

Set of all whole numbers divisible by 2

d)

Set of rational numbers

3.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

4.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

5.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

6.

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)

{ }

7.

If Set A = {MICHAEL} and Set B = {JORDAN}, what is A ⋃ B?

a)

{MICHAELJORDAN}

b)

{MICHAELJORDN}

c)

{A}

d)

{ }

8.

Let C={2, 5, 7, 10} and B={x|x is an even whole number less than 9}. Find C ∩ B

a)

{2}

b)

{2, 4}

c)

{2, 10}

d)

{2, 5, 7}

9.

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}

10.

A = {1, 3, 5, 7, 9}

B = {2, 3, 5, 7}

What is A ∪ B ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7, 9}

c)

{2, 3, 5, 7}

d)

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

11.

Let C={2, 5, 7, 10} and B={1, 3, 5, 7, 9}. Find C ∩ B

a)

{1,2,3,5,7,9,10}

b)

{1,2,3,9,10}

c)

{5,7}

d)

{2,4,5,6,7,8,10}

12.

given:

U = { 1, 2, 3, 4, 5}

A = { 1, 2, 3 }

what is the complement of set A?

a)

A' = { 1,2,3,4,5}

b)

A' = { 1,2,3,}

c)

A' = { 4,5}

d)

A' = { }

13.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

14.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

$\forall$

d)

A'

15.

What is intersection of A and B?

a)

A ∪ B

b)

∈

c)

∉

d)

A ∩ B

16.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

17.

If Set A = {MICHAEL} and Set B = {JORDAN}, what is A $\cap$ B?

a)

{MICHAELJORDAN}

b)

{MICHAELJORDN}

c)

{A}

d)

{ }

18.

a)

A

b)

B

c)

C

d)

D

19.

Which of the following is a natural number?

Check all numbers possible

a)

2

b)

0.5

c)

-6

d)

0

e)

2344

20.

Which of the following are integers (Z)?

Check all that applies

a)

-9.8

b)

-17

c)

$\frac{9}{10}$

d)

89

e)

0

21.

Which of the following numbers belongs to the set of Rational Numbers (Q)?

Check all that applies

a)

8

b)

$-\frac{1}{3}$

c)

0.7

d)

$\sqrt[]{7}$

e)

$2\ \frac{1}{3}$

22.

True or False?

$k\in\left\{k,i,r,a\right\}$

a)

True

b)

False

23.

$\sqrt[]{5}\notin Q$

a)

True

b)

False

24.

Where would you place the number -9 on the diagram?

a)

Integers

b)

Whole

c)

Natural

d)

Rational

25.

Choose the best description of the term WHOLE NUMBERS...

a)

Numbers that have holes in them (like 0, 4, 8, etc.)

b)

Any positive number

c)

{1, 2, 3, 4, 5, 6...}

d)

Natural numbers and zero

26.

√15 ∈ ℝ

a)

True

b)

False

27.

True or False? The set of Integers (Z) contains every Negative number

a)

True

b)

False

28.

Where would you place the number 1.45 on the diagram?

a)

Rational

b)

Irrational

c)

Whole

d)

I HAVE NO CLUE

29.

Where would you place the number 0 on the diagram?

a)

Whole

b)

Integer

c)

Rational

d)

Natural

30.

What number set is represented?
0, 1, 2, 3......

a)

Whole

b)

Rational

c)

Integers

d)

Natural

31.

What number set is represented?
-1.23, 0, 4, 10.3

a)

Rational

b)

Irrational

c)

Whole

d)

Integers

32.

What number set is represented?
1, 2, 3, 4 ......

a)

Natural

b)

Whole

c)

Integers

d)

Rational

33.

What is the set of numbers that includes fractions?

a)

Whole numbers

b)

Integers

c)

Rational Numbers

d)

Natural Numbers

34.

What is the set of numbers that includes repeating decimals?

a)

Rational Numbers

b)

Irrational Numbers

35.

What is the set of numbers that includes π?

a)

Rational Numbers

b)

Irrational Numbers

36.

Which name does not apply to this number?
-17.84

a)

rational number

b)

real number

c)

irrational number

37.

Which name does not apply to this number?
√ 24

a)

real number

b)

irrational number

c)

rational number

38.

Which name does not apply to this number?
- √100

a)

integer

b)

rational number

c)

whole number

d)

real number

39.

What is the set of numbers that doesn't include 0?

a)

Whole Numbers

b)

Real Numbers

c)

Irrational Numbers

d)

Natural Numbers

40.

Choose the number that applies to these sets: Real, Rational, Integer, Whole

a)

√36

b)

√5

c)

-7

d)

-1

41.

Choose the number that applies to these sets: Real, Rational

a)

⅓

b)

√3

c)

∛4

d)

π

42.

Choose the number that applies to these sets: Real, Rational, Integer, Whole

a)

-4

b)

4

c)

0.5

d)

1/2

43.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

44.

Find n(A) when
A = {14, 16, 18, 20, 22, 24}

a)

6

b)

12

c)

4

d)

8

45.

How many subsets will this set have? A= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

46.

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

47.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

48.

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

49.

Given S = { m, 4, 7, 9 } and
T = { 4, 9, 3, n }.
If set S and set T are equal sets,
the value of m + n =

a)

14

b)

12

c)

10

d)

8

50.

a)

Z ⊂ X

b)

Y ⊂ Z

c)

Z ∩ Y = Z

d)

Z ⊂ ( X ∩ Y )

51.

Write in set builder notation. {-3, -2, -1, 0, 1}

a)

{ x∈ ℤ | -3 < x < 1}

b)

{ x∈ ℤ | -3 < x < 1}

c)

{ x∈ ℝ | -3 < x < 1}

d)

{ x∈ ℝ | -3 < x < 1}

e)

[ -3,1]

52.

Which of the following is not the subset of set R= { $x:x$ is a 3-digit perfect cube}

a)

{ }

b)

{344}

c)

{ 125, 216}

d)

{512, 729}

53.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then 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}

54.

Express the following odd numbers interval in Set notation:

[3, 5]

a)

{ x : O | 3 ≤ x ≤ 5 }

b)

{ x : O | 3 < x < 5 }

c)

{ x : O | 3 ≤ x ≥ 5 }

d)

{ x : O | 3 < x > 5 }

55.

Write this set A in tabular form A = { x | x ∈ N and x > 4 } ?

a)

A = { 5, 6, 7, . . .}

b)

A= {4, 5, 6,7, ...}

c)

A= {1,2,3,4}

d)

A= {1,2,3,4, ...}

56.

{x|xϵℝ} is a sentence that we translate to mean what specifically

a)

x is a number

b)

x can be whatever number i can think of

c)

the set of all x such that x is an element of all real numbers

d)

x is greater than zero

57.

A={x| x<20, x ∈ N}

B={x| 3<x<6, x ∈ Q}

C={x| x>5, x ∈ Z}

sets are given. So which ones are infinite sets?

a)

Only C

b)

A and B

c)

B and C

d)

A, B and C

58.

Which one is not a set?

a)

Prime numbers

b)

Integers between

1 and 2

c)

Some students in Darüşşafaka School

d)

The districts of İstanbul

59.

D={ 1 , {2} , {2,3} , 4 , 5 } is given.

Which of the following is incorrect?

a)

n (D) = 5

b)

{2} ∈ D

c)

4 ∈ D

d)

{2,3} ∉ D

60.

What is the number of subsets of the set A

created using the letters in the word KARAMAN?

a)

8

b)

16

c)

32

d)

64

61.

E={ a , b , {a} , {a,b} , c , d } is given.

Which of the following sets is not a subset of E?

a)

{ a , b }

b)

{ {a,b} , d }

c)

{ {b} , c }

d)

{ {a} , c , d }

62.

How many are correct for the set B={ a , {a} , b , c , {b,c}} ?

I. {a} ⊆ B

II. {{b,c}} ⊆ B

III. {b,c} ∈ B

IV. {a,b} ⊇ B

V. c ∉ B

a)

3

b)

4

c)

2

d)

1

63.

A={0,1,2,3}

B= {1,2,3}

C={x I 0<x<4 , x $\in$ N }

D= { x I x is even numbers less than 4}

sets are given. Which of the following two sets are equal?

a)

A-B

b)

D-C

c)

B-C

d)

A-D

64.

How many of the subsets of the set A ={m, n, o, p, r}

have the element "o" and not have the element "n"?

a)

4

b)

8

c)

16

d)

64

65.

Which is false for set A?

a)

A={x| x is a digit}

b)

A={x| x<10 , x∈N}

c)

A={0,1,2,3,4,5,6,7,8,9}

d)

A={x| 0 ≤x ≤10 , x∈N}

66.

Which of the following expressions is an empty set?

a)

{x| -3<x<-1, x ∈ N}

b)

{∅}

c)

{e, m, p, t, y}

d)

{{}}

67.

The universal set is: {students in a class}.

V = {students who like volleyball}.

S = {students who play soccer}.

There are 30 students in the class.

The Venn diagram shows numbers of students.

Find x

(a)

68.

List the members of each of the following sets.

R = {x : x is a multiple of 3, 16 < x < 32}

(a)

69.

If B is the set of letters in the word ‘KYRGYZSTAN’, then which of the following is true?

a)

B = {K, Y, R, G, Y, Z, S, T, A, N}

b)

B = {K, Y, R, G, Z, S, T, A, N}

c)

B = {K, R, G, Y, Z, S, T, A, N}

d)

B = {K, R, G, Y, S, T, A, N}

70.

True or False?

If B = {primes less than 12}, then n(B) = 4

a)

True

b)

False

71.

True or False?

If E = {square numbers less than 100}, then 64 ∈ E

a)

True

b)

False

72.

C = {a, b, g, h, u, w, z} and D = {a, g, u, v, w, x, y, z}.

Is it true that u is an element of C∩D?

a)

No

b)

Yes

73.

What integers values are in the solution set of $x>4$ ?

a)

{4, 5, 6, ...}

b)

{5, 6, 7,...}

c)

{4, 3, 2, ...}

d)

{3, 2, 1, ...}

74.

What integers values are in the solution set of $x\le9$ ?

a)

{9, 10, 11, ...}

b)

{10, 11, 12, ...}

c)

{9, 8, 7, ...}

d)

{8, 7, 6,...}

75.

What integers values are in the solution set of $x>-2$ ?

a)

{-2, -1, 0...}

b)

{-1, 0, 1...}

c)

{-2, -3, -4,...}

d)

{-3, -4, -5,...}

76.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

77.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

78.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

79.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then 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}

80.

The image represents which of the following?

a)

intersection, "and"

b)

intersection, "or"

c)

union, "and"

d)

union, "or"

81.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

82.

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}

d)

{2, 4}

83.

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}

d)

{1, 2, 3, 4, 5, 6, 7}

84.

U = {10,20,30,40,50,60,70,80,90,100}

X = {20,40,80,100}

Y = {10,20,30,50,60}

Find Y'

a)

{10,30,50,60,70,90}

b)

{40,70,80,90,100}

c)

{40,50,70,80,90}

d)

{20}

85.

U = {10,20,30,40,50,60,70,80,90,100}

X = {20,40,80,100}

Y = {10,20,30,50,60}

Find X'

a)

{10,30,50,60,70,90}

b)

{10,30,70,90}

c)

{10,20,30,40,50,60}

d)

{10,30,50,80,90}

86.

Let A ={1 , 2, {3 ,4}, 5}. Which of the following statements are True

a)

{3, 4} $\subset$ A

b)

{3, 4} $\in$ A

c)

1 $\in$ A

d)

{1,2,5} $\subset$ A

87.

Which of the following are examples of a Null Set

a)

Set of all natural numbers divisible by 2

b)

Set of even prime numbers

c)

{x : x is a natural number, x <1, x >1}

d)

{y : y is point common to any two parallel lines}

88.

The union of the following pair of sets: A={x : x is a natural number and 1 $<$ x $\le$ 6} B = {x is a natural number and 6 $<$ x $\le$ 10} in set builder form is

a)

A $\cup$ B = {x : x $\in$ N, 1 $<$ x $\le$ 10}

b)

A $\cup$ B = {x : x $\in$ N, 1 $\le$ x $\le$ 10}

c)

A $\cup$ B = {x : x $\in$ N, 1 $<$ x $<$ 10}

d)

A $\cup$ B = {x : x $\in$ N, 1 $\le$ x $<$ 10}

89.

Say 'TRUE' or 'FALSE': 35 $\in$ {x: x has exactly four positive factors}

a)

TRUE

b)

FASLE

90.

Determine if the statement is true or false.
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}

a)

True

b)

False

91.

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}

92.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

93.

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

94.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

95.

Which element belongs to $\left\{x:x\in Z,\ x>10\right\}$

a)

$-10$

b)

$10$

c)

$100$

d)

$-100$

96.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

97.

Which of the following operations on sets describe the given Venn diagram?

a)

$A\ \cap\ B$

b)

$A\ -\ B$

c)

$A'\ \cup\ B'$

d)

$A\ \cup\ B$

98.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is $A\ \cap\ B$ ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

99.

Let C={2, 5, 7, 10} and B={2, 4, 6, 8}. Find C U B.

Diberi C={2, 5, 7, 10} dan B={2, 4, 6, 8}. Cari C U B.

a)

{2,4,6,8,10}

b)

{2,4,5,6,7,8,10}

c)

{2, 4, 5, 6, 7, 8, 10}

100.

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}

101.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

102.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

103.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

104.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

105.

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}

106.

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}

107.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

108.

a)

a. A ⊂ B

b)

b. A ⊃ B

c)

c. A ⋂ B = B

d)

d. A ⋃ B = A

109.

A — B will contain elements in ?

a)

A not in B

b)

B not in A

c)

Neither A nor B

d)

Both A and B

110.

A set has n elements, then the, number of elements in its power set is ?

a)

2n

b)

2n - 1

c)

n

d)

$2^n$

111.

If A= {10,20,30,40},B={20,40,60} and C = {10,20,40,60,80}, find A Ո B Ո C

a)

{20,40}

b)

{20,40,60}

c)

{10,20,30,40,50,60,80}

d)

{10,20,30,...}

112.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

113.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

114.

Use the Venn diagram to identify the statement that is true.

a)

2 ∈ P ∩ Q

b)

5 ∈ Q

c)

{5,7} ⊆ P

d)

P U Q = Q

115.

List the elements of B

a)

{4,5,6,7,8,9,10,11}

b)

{4,6,7,8}

c)

{9,5,10,11}

d)

{4,5,6,7,8,9,10}

116.

List the elements of (A U B)'

a)

{1,4}

b)

{2,3,5,6,7,8,9}

c)

{2,3,6,7,8}

d)

{5,9}

117.

Given that
R = { factors of 36 }.
n(R) =

a)

6

b)

9

c)

12

d)

15

118.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

119.

If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'

a)

{7,11,13}

b)

{7,9,11,13}

c)

{2,3,5}

d)

U

120.

Given that
set V = { m, n, o, p },
find the number of subsets V.

a)

16

b)

12

c)

10

d)

8

untitled

Total questions: 120

Worksheet time: 4hrs 6mins

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