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All About Sets

Total questions: 75

Worksheet time: 2hrs 42mins

Name
Class
Date
1.

The name of set is denoted by ----------letter of English alphabet.

a)

Small

b)

Capital

2.

If A={6,8,10,12} then 5 ∈ A

a)

True

b)

False

3.

Elements of set do not repeat itself.

a)

True

b)

False

4.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8

5.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

6.

A set is a collection of specific, related and well-defined distinct objects.

a)

True

b)

False

7.

Roster method is describing the elements in a set.

a)

True

b)

False

8.

Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.

a)

D = {m, a, t, h, e, m, a, t, i, c, s}

b)

D = {m, a, t, h}

c)

D = {m, a, t, h, e, i, c, s}

d)

D = {m, a, t, h, i, c, s}

9.

Which of the following is not an element of the set of colors of the rainbow?

a)

red

b)

orange

c)

indigo

d)

pink

10.

(...) refers to ellipsis

a)

True

b)

False

11.

Set C is the set of whole numbers less than 9. Write the set using the Roster method.

a)

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

b)

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

c)

C = {1, 2, 3, 4, 5, 6, 7, 8}

d)

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

12.

List all the elements in A= {letters in the word "BOOK"}.

a)

A= {B,O,K}

b)

A= {B,O,O,K}

c)

A= {B,K}

d)
13.

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

a)

ϵ\epsilon

b)

⊂\subset

c)

==

d)

⊄\not\subset

14.

Complete the statement correctly: Cow____ the set of all farm animals.

a)

ϵ\epsilon

b)

⊂\subset

c)

⊆\subseteq

d)

⊄\not\subset

15.

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}

16.

Describe this set in words: {2,3,5,7,11,13,17,19}

a)

Set of prime numbers from 2 to 19

b)

Set of prime numbers less than 19

c)

Set of odd numbers less than 20

d)

Set of whole numbers less than 20

17.

Which of the following statements is TRUE?

a)

2 ϵ\epsilon {1,3,5,7}

b)

{5} ϵ\epsilon {5,10,15,20,}

c)

6 ϵ\epsilon {x/x is an odd number}

d)

3 ϵ\epsilon {x/x is a prime number}

18.

Write {even whole numbers between 3 to 15} using the roster method.

a)

{3,5,7,9,11,13,15}

b)

{5,7,9,11,13}

c)

{4,6,8,10,12,14}

d)

{2,4,6,8,10,12,14,16}

19.

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

a)

Element

b)

Set

c)

Cardinality

d)

Universal Set

20.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

21.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
22.
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
23.

Which of the following is the symbol for element of?

a)

∅

b)

⊂\subset  

c)

∈\in  

d)

⊄\not\subset  

24.

Equivalent sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

25.

Equal sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

26.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

27.

All equal sets are equivalent sets.

a)

TRUE

b)

FALSE

c)

MAYBE

28.

The elements of a set are separated by a

a)

Equal to

b)

Comma

c)

Semi colon

d)

Full stop

29.

A set having only one element is called

a)

Infinite set

b)

Null Set

c)

Singleton.

30.

If A = { 1,2,3,4} and B= {a,b,c,d} then they are _______ sets.

a)

Singleton

b)

Equal

c)

Equivalent

d)

Empty

31.

If X is equal to Y,then X is equivalent to Y.

a)

False

b)

True

32.
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 }
33.

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

a)

8

b)

6

c)

3

d)

0

34.

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.

35.

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

a)

Equal

b)

Equivalent

36.

Which of the following is the symbol for null set?

a)

∅

b)

⊂\subset  

c)

∈\in  

d)

⊄\not\subset  

37.

Which of the following is the symbol for element of?

a)

∅

b)

⊂\subset  

c)

∈\in  

d)

⊄\not\subset  

38.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

∀\forall

d)

A'

39.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

40.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
41.

What is intersection of A and B?

a)

A ∪ B

b)

∈

c)

∉

d)

A ∩ B

42.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

43.

What is the punctuation mark used to enclose elements of sets?

a)

Bracket

b)

Braces

c)

Parenthesis

d)

Quotationn

44.

What is the other term for "Empty Sets"?

a)

Null set

b)

Nell Set

c)

Nill Set

d)

Noll Set

45.

What Is a well-defined collection of objects composed of members?

a)

Set

b)

Group

c)

Team

d)

Class

46.

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}

47.

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}

48.

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}

49.

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}

50.

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}

51.

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}

52.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

53.

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}

54.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

55.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

56.

All equal sets are equivalent sets.

a)

TRUE

b)

FALSE

c)

MAYBE

57.

All equivalent sets are equal sets.

a)

TRUE

b)

FALSE

c)

MAYBE

58.

How do you call the sets whose elements can not be counted?

a)

Finite

b)

Infinite

c)

Equal

d)

Equivalent

59.

Which of the following is the symbol used to enclosed the elements of a set.

a)

( )

b)

{ }

c)

[ ]

d)

{ )

60.

The elements of a set can be repeated.

a)

TRUE

b)

FALSE

c)

MAYBE

d)

SOMETIMES

61.
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}
62.

Which of the following is a finite set?

a)

J = {x ∈ N | x is a factor of 35}

b)

U = {x ∈ N|x is a multiple of 15}

c)

D = {x ∈N|x is a divisible by 7}

d)

Y= {x ∈ Q|x is a factor of 3}

63.

Which set is equivalent to

B = {x ∈ N| x is a multiple of 5 between 5 &19}

a)

L= {5,10,15}

b)

M= {shake, rattle, roll}

c)

A= {x ∈ N| 5<x<19}

d)

O= {x | x is a vowel in the word positivity}

64.

Which of the following is true?

a)

The cardinality of A x B if A={1,2} and B={x,y,z} is 5.

b)

The intersection of the set of whole numbers, W and the set of integers, Z is 0.

c)

The intersection of U and ∅ is ∅.

d)

The union of non-integral numbers, Z' and the set of integers, Z is the set of real numbers, R.

65.

If P = {a, e, i, o, u} then choose three items which are true .

a)

a ∈ P

b)

b ∈ P

c)

i ∈ P

d)

g ∉ P

66.

List all the distinct letters in the word “school”.

a)

{s, c, h, o, o, l}

b)

{s, c, h, o, l}

c)

{s, h, o, o, l}

d)

{s, c, o, l}

67.

Which of the following is a subset of A= {1,2,3}?

a)

{0}

b)

{0,1}

c)

{1,2}

d)

{2,3,4}

68.

Which symbol is used to indicate the intersection of two sets?

a)

∪\cup

b)

∩\cap

c)

⊄\not\subset

d)

{ }

69.

Which symbol is used to indicate the union of two sets?

a)

∪\cup

b)

∩\cap

c)

⊄\not\subset

d)

{ }

70.

Given the following :

A = {1, 2, 4, 5, 6}

B = {1, 3, 5, 7},

C = {2, 4, 6, 8}

Find A U B.

a)

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

b)

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

c)

{3}

d)

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

71.

Given the following :

A = {1, 2, 4, 5, 6}

B = {1, 3, 5, 7},

C = {2, 4, 6, 8}

Find B ∩ C

a)

{0, 2, 3}

b)

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

c)

{ }

d)

{8}

72.

Given the following :

A = {1, 2, 4, 5, 6}

B = {1, 3, 5, 7},

C = {2, 4, 6, 8}

Find A – B.

a)

{1,2,4}

b)

{5,7,8}

c)

{3}

d)

{2, 4, 6}

73.

The following is a subset of R = {n, e, w}, EXCEPT?

a)

{n, e, w}

b)

{e}

c)

{0}

d)

{ }

74.

Given A = {i, c, e} and B = {c, o, l, d}, find A ∪ B.

a)

{c, o, l, d, i, e}

b)

{i, e}

c)

{e}

d)

{ }

75.

Given C = {5, 10, 15, 20} and B = {25}, find A ∩ B.

a)

{5, 10, 15, 20, 25}

b)

{5, 10, 15, 20}

c)

{ }

d)

{0}

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