Free Printable maths...class10...chapter17...Sets ,its notation and representat

1.

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

2.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

3.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

4.

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}

5.

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}

6.

What statement does the shaded region represent?

a)

A ∩ B ∩ C

b)

A ∪ B ∩ C

c)

B ∩ C

d)

A ∪ C

7.

X ∩ Y ∩ Z

a)

{ }

b)

{Phillip}

c)

{Billy, Phillip, Bryan, Perez}

d)

{Billy, Perez, Bryan}

8.

How many students do not ski or ice skate?

a)

10

b)

16

c)

22

d)

28

9.

Which is the correct set notation for
A U B?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15, 18}

10.

From the above Venn diagram, what is the set (S ∪ T) ∩ V?

a)

{casey, drew, jade, glen}

b)

{alex, glen, hunter, jade}

c)

{casey, drew, glen}

d)

{drew, jade}

11.

$0\in Whole\ Numbers$

a)

True

b)

False

12.

Identify B'

a)

{4}

b)

{8}

c)

{1, 2, 3, 8, 10]

d)

{1, 2, 3, 10}

13.

Which set-builder contains the element "Thailand"?

a)

{x|x is an American country}

b)

{x|x is an Asian country}

c)

{x|x is a European country}

d)

{x|x is an African country}

14.

Which set-builder does NOT contain the element "24"?

a)

{x|x is two-digit number}

b)

{x|x is an even number]

c)

{x|x is a perfect square}

15.

Which set-builder does NOT contain the element "Letter O"?

a)

{x|x is a chemical symbol}

b)

{x|x is a roman numeral}

c)

{x|x is a vowel}

d)

{x|x is a letter in the word "Encyclopedia"}

16.

Which set-builder form satisfies $\left\{0,1,2,3,4,...\right\}$ ?

a)

$\left\{x:x\in N\right\}$

b)

$\left\{x:x\in W\right\}$

c)

$\left\{x:x\in Z\right\}$

17.

Which set-builder form satisfies $\left\{1,2,3,4,...\right\}$ ?

a)

$\left\{x:x\in N\right\}$

b)

$\left\{x:x\in W\right\}$

c)

$\left\{x:x\in Z\right\}$

18.

Which set-builder form satisfies $\left\{1,2,3,4,5,6,7,8,9,10\right\}$ ?

a)

$\left\{x:x\in W,\ x<10\right\}$

b)

$\left\{x:x\in W,\ x\le10\right\}$

c)

$\left\{x:x\in N,\ x<10\right\}$

d)

$\left\{x:x\in N,\ x\le10\right\}$

19.

Which set-builder form satisfies $\left\{-2,-1,0,1,2,\ ...\right\}?$

a)

$\left\{x:x\in W,\ x>-3\right\}$

b)

$\left\{x:x\in N,\ x>-3\right\}$

c)

$\left\{x:x\in Z,\ x>-3\right\}$

20.

Which set-builder form satisfies $\left\{...,-3,-2,-1,0,1,2,3,\ ...\right\}$ ?

a)

$\left\{x:x\in N\right\}$

b)

$\left\{x:x\in W\right\}$

c)

$\left\{x:x\in Z\right\}$

21.

Which set-builder form satisfies $\left\{...,\ -3,-2,-1,0,1,\ ...\right\}$ ?

a)

$\left\{x:x\in Z,\ x\ge0\right\}$

b)

$\left\{x:x\in Z,\ x\le0\right\}$

c)

$\left\{x:x\in Z,\ x<0\right\}$

d)

$\left\{x:x\in Z,\ x\ >0\right\}$

22.

Which roster-form satisfies $\left\{x:x\in Z^-\right\}$ ?

a)

$\left\{...,\ -3,\ -2,\ -1\right\}$

b)

$\left\{-3,-2,-1\right\}$

c)

$\left\{...-3,-2,-1,0\right\}$

23.

Which roster-form satisfies $\left\{x:x\in Z,\ x<4\ \right\}$ ?

a)

$\left\{1,2,3\right\}$

b)

$\left\{0,1,2,3\right\}$

c)

$\left\{...,\ -1,\ 0,\ 1,\ 2,3\right\}$

24.

Which roster-form satisfies $\left\{x:x\in Z,\ x<4\ \right\}$ ?

a)

$\left\{1,2,3\right\}$

b)

$\left\{0,1,2,3\right\}$

c)

$\left\{...,\ -1,\ 0,\ 1,\ 2,3\right\}$

25.

Which roster-form satisfies $\left\{x:x\in W,\ x\ge5\right\}$ ?

a)

$\left\{5,6,7,...\right\}$

b)

$\left\{5,6,7\right\}$

c)

$\left\{6,7,8,...\right\}$

d)

$\left\{6,7,8\right\}$

26.

Which descriptive-form satisfies $\left\{x:x=2\right\}$ ?

a)

Solution Set to $x+2=0$

b)

Solution Set to $x-2=0$

c)

Solution Set to $2x=\ 0$

27.

Which descriptive-form satisfies $\left\{x:x\in Z,\ x\ne0\right\}$ ?

a)

All integers except zero

b)

All integers

c)

All integers except positive numbers

d)

All negative integers

28.

Which descriptive-form satisfies $\left\{x:x\in Z,\ x\ne0\right\}$ ?

a)

All integers except zero

b)

All integers

c)

All integers except positive numbers

d)

All negative integers

29.

Which descriptive-form satisfies $\left\{x:x\in R\right\}$

a)

All real numbers

b)

All rational numbers

c)

All irrational numbers

30.

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

a)

$-10$

b)

$10$

c)

$100$

d)

$-100$

31.

Which element belongs to {x|x is an ASEAN country}?

a)

Japan

b)

Malaysia

c)

India

d)

France

32.

Which element does not belong to {x|x is a weekday}?

a)

Sunday

b)

Monday

c)

Tuesday

d)

Holiday

33.

Which element does NOT belong to {x|x is a color in the Thailand flag}?

a)

black

b)

blue

c)

white

d)

red

34.

Which set-builder contains the element "a"?

a)

{x|x is a vowel in the word Math}

b)

{x|x is a vowel in the word Science}

c)

{x|x is a consonant in the word Art}

35.

Which set-builder does NOT contain the element "24"?

a)

{x|x is two-digit number}

b)

{x|x is an even number]

c)

{x|x is a perfect square}

36.

Which set-builder form satisfies $\left\{1,2,3,4,5,6,7,8,9,10\right\}$ ?

a)

$\left\{x:x\in W,\ x<10\right\}$

b)

$\left\{x:x\in W,\ x\le10\right\}$

c)

$\left\{x:x\in N,\ x<10\right\}$

d)

$\left\{x:x\in N,\ x\le10\right\}$

37.

Which set-builder form satisfies $\left\{...,-3,-2,-1,0,1,2,3,\ ...\right\}$ ?

a)

$\left\{x:x\in N\right\}$

b)

$\left\{x:x\in W\right\}$

c)

$\left\{x:x\in Z\right\}$

38.

Which set-builder form satisfies $\left\{-2,-1,0,1,2,\ ...\right\}?$

a)

$\left\{x:x\in W,\ x>-3\right\}$

b)

$\left\{x:x\in N,\ x>-3\right\}$

c)

$\left\{x:x\in Z,\ x>-3\right\}$

39.

Which roster-form satisfies $\left\{x:x\in Z^-\right\}$ ?

a)

$\left\{...,\ -3,\ -2,\ -1\right\}$

b)

$\left\{-3,-2,-1\right\}$

c)

$\left\{...-3,-2,-1,0\right\}$

40.

Which roster-form satisfies $\left\{x:x\in W,\ x\ge5\right\}$ ?

a)

$\left\{5,6,7,...\right\}$

b)

$\left\{5,6,7\right\}$

c)

$\left\{6,7,8,...\right\}$

d)

$\left\{6,7,8\right\}$

41.

Which descriptive-form satisfies $\left\{x:x\in Z,\ x\ne0\right\}$ ?

a)

All integers except zero

b)

All integers

c)

All integers except positive numbers

d)

All negative integers

42.

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

a)

$-10$

b)

$10$

c)

$100$

d)

$-100$

43.

Which descriptive-form satisfies $\left\{x:x\in R\right\}$

a)

All real numbers

b)

All rational numbers

c)

All irrational numbers

44.

Which element belongs to {x|x is an ASEAN country}?

a)

Japan

b)

Malaysia

c)

India

d)

France

45.

Which element does NOT belong to {x|x is a color in the Thailand flag}?

a)

black

b)

blue

c)

white

d)

red

46.

Write the following in set-builder notation

All real numbers that greater than or equal to 5

a)

$\left\{x|-\infty<x<\infty\right\}$

b)

$\left\{x|-5<x<5\right\}$

c)

$\left\{x|x\ge5\right\}$

d)

$\left\{x\ |\ x>5\right\}$

47.

Write the following in set-builder notation

All real numbers that greater than 11

a)

$\left\{x|x\ge11\right\}$

b)

$\left\{x|x\le11\right\}$

c)

$\left\{x|x>11\right\}$

d)

$\left\{x\ |\ x<11\right\}$

48.

Write the following in set-builder notation

All real numbers that Less than -7

a)

$\left\{x|x\ge-7\right\}$

b)

$\left\{x|x\le-7\right\}$

c)

$\left\{x|x>-7\right\}$

d)

$\left\{x\ |\ x<-7\right\}$

49.

Write the following in set-builder notation

All real numbers that less than or equal to 8 and greater than or equal to -1

a)

$\left\{x|-1<x<8\right\}$

b)

$\left\{x|-1\le x\le8\right\}$

c)

$\left\{x|-1<x\le8\right\}$

d)

$\left\{x|-1\le x<8\right\}$

50.

Write the following in set-builder notation

All real numbers that less than 8 and greater than -1

a)

$\left\{x|-1<x<8\right\}$

b)

$\left\{x|-1\le x\le8\right\}$

c)

$\left\{x|-1<x\le8\right\}$

d)

$\left\{x|-1\le x<8\right\}$

51.

Write the following in set-builder notation

All real numbers that less than 8 and greater than or equal to -1

a)

$\left\{x|-1<x<8\right\}$

b)

$\left\{x|-1\le x\le8\right\}$

c)

$\left\{x|-1<x\le8\right\}$

d)

$\left\{x|-1\le x<8\right\}$

52.

Write the following in set-builder notation

All positive real numbers

a)

$\left\{x|-\infty<x<\infty\right\}$

b)

$\left\{x|-1<x<1\right\}$

c)

$\left\{x|\ x>0\right\}$

d)

$\left\{x|x<0\right\}$

53.

Write the set of integers greater than -3 and less than 4 in roster form.

4 lines

54.

Convert the following set from roster form to set-builder notation:

{3, 6, 9, 12, 15}

4 lines

55.

Express the set of all positive integers less than 7 in a set-builder notation.

4 lines

56.

Convert the following set from set builder notation to roster-form:

$\left\{x\ \epsilon\ N:\ x\ is\ an\ odd\ number\ between\ 10\ and\ 20\right\}$

4 lines

57.

What does the shaded portion of the Venn diagram represent?

a)

Not p

b)

p

c)

p and q

d)

p or q

58.

What statement does the shaded region represent?

a)

A or B

b)

Not B

c)

Not A

d)

Not A or B

59.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

60.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

61.

What statement does the shaded region represent?

a)

A or B

b)

A and B

c)

A

d)

B

62.

List the elements of the the set: B'

a)

{ 1 , 5 , 6 }

b)

{ 1 , 2 , 3 , 5 , 6 , 9 }

c)

{ 2 , 3 , 9 }

d)

None of these

63.

List the elements of the the set: A' ∪ B

a)

{ 1 , 5 , 6 }

b)

{ 1 , 2 , 3 , 5 , 6 , 9 }

c)

{ 4 , 7 , 8 }

d)

{ 2 , 3 , 4 , 7 , 8 , 9 }

64.

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}

65.

What statement does the shaded region represent?

a)

A ∩ B ∩ C

b)

A ∪ B ∩ C

c)

B ∩ C

d)

A ∪ C

66.

Complement of W

a)

A

b)

B

c)

M

d)

C

67.

8

a)

n(A) =

b)

n(W) =

c)

n(M) =

d)

n(B) =

68.

6

a)

n( M ) =

b)

n( W ' ) =

c)

n( C ) =

d)

n ( B ' ) =

69.

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)

{ }

70.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

71.

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}

72.

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}

73.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

74.

Which venn diagrams shows A′ ∩ B?

a)

b)

c)

d)

75.

A is a (proper) subset of B

a)

A ∪ B

b)

A ⊄ B

c)

A ⊂ B

d)

A ∩ B

76.

What is the set represented by the shaded region.

a)

A′∪B′

b)

A∪B′

c)

A′∪B

d)

A∩B′

77.

What is the set represented by the shaded region.

a)

A′∪B′

b)

A∪B′

c)

A′∪B

d)

A∩B′

78.

What is a set?

a)

A collection of objects with similar characteristics

b)

A collection of objects with no similarities

c)

A collection of objects with different characteristics

d)

A collection of objects

79.

What proportion of senior boys play football or wrestle?

a)

9/143

b)

12/143

c)

18/143

d)

39/143

80.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

81.

Which is the correct set notation for
A U B?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15, 18}

82.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

83.

How many students do not ski or ice skate?

a)

10

b)

16

c)

22

d)

28

84.

What does the shaded region of the Venn diagram represent?

a)

P or S

b)

Only P or S

c)

P and S

d)

Only P and S

85.

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}

86.

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}

87.

Determine whether the statement is true or false.

−3\ ∉\ \left\{𝑥\ |\ 𝑥<15,\ x\ ∈\ ℤ^+\right\}

a)

True

b)

False

88.

Determine whether the statement is true or false. $\left\{a\right\}\ ϵ\ \left\{a,\ b\right\}$

a)

True

b)

False

89.

Find the cardinal number of set A = {12, 14, 15, …, 22, 23}.

a)

n(A ) = 5

b)

n(A ) = 10

c)

n(A ) = 11

d)

n(A ) = 12

90.

Find the cardinal number of set B = {12, 14, 15, …, 22, 23}.

a)

n(B) = 5

b)

n(B) = 10

c)

n(B) = 11

d)

n(B) = 12

91.

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}

92.

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}

93.

List the elements of the the set: A' ∪ B

a)

{ 1 , 5 , 6 }

b)

{ 1 , 2 , 3 , 5 , 6 , 9 }

c)

{ 4 , 7 , 8 }

d)

{ 2 , 3 , 4 , 7 , 8 , 9 }

94.

List the elements of the the set: B'

a)

{ 1 , 5 , 6 }

b)

{ 1 , 2 , 3 , 5 , 6 , 9 }

c)

{ 2 , 3 , 9 }

d)

None of these

95.

List the elements of the the set: B'

a)

{ 1 , 5 , 6 }

b)

{ 1 , 2 , 3 , 5 , 6 , 9 }

c)

{ 2 , 3 , 9 }

d)

None of these

96.

If R = {Sara, Dylan, Sasha, Martina} and S = {Chris, Dylan, Sean, Michael, Martina}, then R ⋂ S is...

a)

{Chris, Michael}

b)

{Dylan}

c)

{Sara, Dylan, Sasha, Martina, Chris, Sean, Michael}

d)

{Dylan, Martina}

97.

What is intersection of A and B?

a)

A ∪ B

b)

∈

c)

∉

d)

A ∩ B

98.

What is intersection of A and B?

a)

A ∪ B

b)

∈

c)

∉

d)

A ∩ B

99.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

100.

What is complement of set A?

a)

A ∪ B

b)

A ∈

c)

A ⊂ B

d)

A′

101.

Set A = { 4, 8, 12, 16, 20, 24 } and Set B = the first 5 perfect square numbers. What is the INTERSECTION of these two sets?

a)

{1, 4, 8, 9, 12, 16, 20, 24, 25}

b)

{4, 8, 15, 24}

c)

{4, 16}

d)

Nothing

102.

Set A = { 4, 8, 12, 16, 20, 24 } and Set B = the first 5 perfect square numbers. What is the UNION of these two sets?

a)

{1, 4, 8, 9, 12, 16, 20, 24, 25}

b)

{4, 8, 15, 24}

c)

{4, 16}

d)

Nothing

103.

What type of set is denoted as ∅?

a)

Universal Set

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Complement of a Set

104.

What does this symbol mean?

∉

a)

Is not an element of

b)

Is not an intersection

c)

Not the universal set

d)

Empty set

105.

What is the relationship of a pair of set with the same cardinality?

a)

Roster method

b)

Set-Builder Notation

c)

Equal Set

d)

Equivalent Set

106.

How do you define a set with listed elements?

a)

Equal Set

b)

Equivalent Set

c)

Roster Method

d)

Set-Builder Notation

107.

What do you call the objects in a set?

a)

elements

b)

things

c)

subset

d)

union

108.

Which of the following is TRUE about SET?

a)

Set is a collection of objects

b)

Set is a collection of objects which share a common characteristics.

c)

Set contains all elements

d)

Set is a collection of different things

109.

It is a set without any element.

a)

subset

b)

null set

c)

unit set

d)

sunset

110.

It refers to the number of elements in a set.

a)

finite set

b)

subset

c)

cardinality

d)

reality

111.

It is a set with countable number of elements.

a)

infinite set

b)

finite set

c)

unit set

d)

universal set

112.

Which of the following is TRUE about SET?

a)

Set is a collection of objects

b)

Set is a collection of objects which share a common characteristics.

c)

Set contains all elements

d)

Set is a collection of different things

113.

What type of set is denoted as ∅?

a)

Universal Set

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Complement of a Set

114.

What does this symbol mean?

∉

a)

Is not an element of

b)

Is not an intersection

c)

Not the universal set

d)

Empty set

115.

What is the relationship of a pair of set with the same cardinality?

a)

Roster method

b)

Set-Builder Notation

c)

Equal Set

d)

Equivalent Set

116.

How do you define a set with listed elements?

a)

Equal Set

b)

Equivalent Set

c)

Roster Method

d)

Set-Builder Notation

117.

Which of the following is TRUE about SET?

a)

Set is a collection of objects

b)

Set is a collection of objects which share a common characteristics.

c)

Set contains all elements

d)

Set is a collection of different things

118.

What is a Set?

a)

A diagram that shows the relationship between two or more sets

b)

A possible result from a random experiment

c)

A collection of distinct objects called elements

d)

The set of all possible outcomes for an experiment

119.

What is a Venn Diagram?

a)

A diagram that shows the relationship between two or more sets

b)

A possible result from a random experiment

c)

A set of one or more outcomes

d)

The set of all possible outcomes for an experiment

120.

Select two answers that represent Union

a)

$A\cup B$

b)

The set of all elements that are in both sets A and B

c)

The set of all elements that is in set A or set B

d)

$A\cap B$

121.

Select two answers that represent Intersection

a)

$A\cup B$

b)

The set of all elements that are in both sets A and B

c)

The set of all elements that is in set A or set B

d)

$A\cap B$

122.

Select two answers that represent Union

a)

$A\cup B$

b)

c)

d)

$A\cap B$

123.

Select two answers that represent Intersection

a)

$A\cup B$

b)

c)

d)

$A\cap B$

124.

Given the set $\left\{x:x\ is\ a\ perfect\ square\ and\ x\le20\right\},$ convert it to roster form.

4 lines

125.

Write the set of all positive integers less than 10 in set-builder notation and roster form.

4 lines

126.

Define the set $\left\{a,e,i,o,u\right\}$ using set builder notation.

4 lines

127.

Concert the following set defined in set-builder notation to roster form:

$\left\{x:x\ is\ a\ day\ of\ the\ week\ starting\ with\ 'T'\right\}.$

4 lines

128.

Concert the following set defined in set-builder notation to roster form:

$\left\{x:x\ is\ a\ day\ of\ the\ week\ starting\ with\ 'T'\right\}.$

4 lines

129.

Explain how to write the set of all even numbers greater than 0 and less than 20 in set builder notation and roster method.

4 lines

130.

What is the set-builder notation for the set $\left\{8.10,12,14,16\right\}?$

a)

$\left\{x:x\ is\ an\ even\ number\ between\ 8\ and\ 16\right\}$

b)

$\left\{x:x\ is\ an\ even\ number\ and\ 8\le x\le16\right\}$

c)

$\left\{x:x\ =2n+8,\ where\ n\epsilon N\right\}$

d)

$\left\{x:x=8+2n,\ where\ n\epsilon N\right\}$

131.

Convert the set $\left\{x:x\ is\ a\ multiple\ of\ 5\ and\ 5\le x\le25\right\}$ in roster form.

a)

$\left\{5,10,15,20\right\}$

b)

$\left\{5,10,15,20,25,30\right\}$

c)

$\left\{5,10,15,20,25\right\}$

d)

$\left\{10,15,20,25\right\}$

132.

Convert the set $\left\{x:x\ is\ a\ multiple\ of\ 5\ and\ 5\le x\le25\right\}$ in roster form.

a)

$\left\{5,10,15,20\right\}$

b)

$\left\{5,10,15,20,25,30\right\}$

c)

$\left\{5,10,15,20,25\right\}$

d)

$\left\{10,15,20,25\right\}$

133.

Which set is correctly defined in set-builder notation by $\left\{x:x\ is\ an\ odd\ number\ and\ 1\le x\le9\right\}?\$

a)

$\left\{1,3,5,7,9\right\}$

b)

$\left\{1,3,5,7,9,11\right\}$

c)

$\left\{1,2,3,4,5,7,9\right\}$

d)

$\left\{1,3,5,7\right\}$

134.

Which set is correctly defined in set-builder notation by $\left\{x:x\ is\ an\ odd\ number\ and\ 1\le x\le9\right\}?\$

a)

$\left\{1,3,5,7,9\right\}$

b)

$\left\{1,3,5,7,9,11\right\}$

c)

$\left\{1,2,3,4,5,7,9\right\}$

d)

$\left\{1,3,5,7\right\}$

135.

Which set represented by $\left\{x:x\ is\ an\ interger\ and\ -3\le x\le3\right\}$ in roster form.

a)

$\left\{-3,-2,-1,0,1,2,3\right\}$

b)

$\left\{-3,-2,-1,0,1,2\right\}$

c)

$\left\{-3,-2,0,1,2,3\right\}$

d)

$\left\{-3,-1,0,1,3\right\}$

136.

Which set represented by $\left\{x:x\ is\ an\ interger\ and\ -3\le x\le3\right\}$ in roster form.

a)

$\left\{-3,-2,-1,0,1,2,3\right\}$

b)

$\left\{-3,-2,-1,0,1,2\right\}$

c)

$\left\{-3,-2,0,1,2,3\right\}$

d)

$\left\{-3,-1,0,1,3\right\}$

137.

Which set builder notation describes the set $\left\{3,6,9,12\right\}?$

a)

$\left\{x:x\ is\ a\ multiple\ of\ 3\right\}$

b)

$\left\{x:x=3n,\ where\ n\ is\ a\ positve\ integer\right\}$

c)

$\left\{x:x\ is\ a\ multiple\ of\ 3\ and\ 3\le x\le12\right\}$

d)

$\left\{x:x=3n,\ where\ n\epsilon Z\right\}$

138.

Which set is represented by $\left\{x:x\ is\ a\ vowel\ in\ the\ English\ alphabet\right\}$ in roster form.

a)

$\left\{a,e,i,o,u\right\}$

b)

$\left\{a,e,i,o,u,y\right\}$

c)

$\left\{a,e,i,o,u,y,w\right\}$

d)

$\left\{a,e,i,o\right\}$

139.

Convert the set $\left\{x:x\epsilon Z\ and\ -2\le x\le2\right\}$ to roster form.

a)

$\left\{-2,-1,0,1,2\right\}$

b)

$\left\{-2,0,2\right\}$

c)

$\left\{-2,-1,0,1\right\}$

d)

$\left\{0,1,2\right\}$

140.

Which of the fowling is the correct roster form for the set $\left\{x:x\ is\ a\ prime\ number\ less\ than\ 10\right\}?$

a)

$\left\{1,2,3,5,7\right\}$

b)

$\left\{2,3,5,7\right\}$

c)

$\left\{1,2,3,5,7,11\right\}$

d)

$\left\{2,3,5,7,9\right\}$

141.

Which of the fowling is the correct roster form for the set $\left\{x:x\ is\ a\ prime\ number\ less\ than\ 10\right\}?$

a)

$\left\{1,2,3,5,7\right\}$

b)

$\left\{2,3,5,7\right\}$

c)

$\left\{1,2,3,5,7,11\right\}$

d)

$\left\{2,3,5,7,9\right\}$

142.

Identify the set represented by the roster method $\left\{2,4,6,8,10\right\}$ in set builder notation.

a)

$\left\{x:x\ is\ an\ even\ number\ less\ than\ 12\right\}$

b)

$\left\{x:x\ is\ an\ even\ number\ and\ 2\le x\le10\right\}$

c)

$\left\{x:x\ is\ a\ positive\ integer\ less\ than\ 11\right\}$

d)

$\left\{x:x\ is\ a\ multiple\ of\ 2\right\}$

143.

Identify the set represented by the roster method $\left\{2,4,6,8,10\right\}$ in set builder notation.

a)

$\left\{x:x\ is\ an\ even\ number\ less\ than\ 12\right\}$

b)

$\left\{x:x\ is\ an\ even\ number\ and\ 2\le x\le10\right\}$

c)

$\left\{x:x\ is\ a\ positive\ integer\ less\ than\ 11\right\}$

d)

$\left\{x:x\ is\ a\ multiple\ of\ 2\right\}$

144.

Which of the following sets is correctly defined using set-builder notation?

a)

$\left\{1,2,3,4,5\right\}$

b)

$\left\{x:x\ is\ a\ positive\ integer\ less\ than\ 6\right\}$

c)

$\left\{x:x\epsilon N\ and\ x<6\right\}$

d)

Both b and c

145.

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

a)

Integers

b)

Whole

c)

Natural

d)

Rational

146.

Where would you place the number 9 on the diagram?

a)

Irrational

b)

Rational

c)

Integer

d)

Natural

147.

Where would you place the number -1.9 on the diagram?

a)

Rational

b)

Integer

c)

Whole

d)

Natural

148.

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.

149.

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 }

150.

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

151.

The symbol used for real numbers is ______.

a)

R

b)

I

c)

Q

d)

Z

e)

W

152.

The symbol used for rational numbers is ______.

a)

R

b)

I

c)

Q

d)

Z

e)

W

153.

The symbol used for integers is ______.

a)

I

b)

Q

c)

Z

d)

W

e)

N

154.

The symbol used for irrational numbers is ______.

a)

R

b)

I

c)

Q

d)

Z

e)

W

155.

The symbol used for whole numbers is ______.

a)

I

b)

Q

c)

Z

d)

W

e)

N

156.

The symbol used for natural numbers is ______.

a)

I

b)

Q

c)

Z

d)

W

e)

N

157.

The symbol used for natural numbers is ______.

a)

I

b)

Q

c)

Z

d)

W

e)

N

158.

Which of the following is an irrational number?

a)

b)

c)

d)

e)

159.

Which of the following IS a whole number?

a)

b)

c)

d)

e)

maths...class10...chapter17...Sets ,its notation and representat

Total questions: 159

Worksheet time: 4hrs 34mins

Similar Resources on Wayground