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Worksheets

Set Symbols

Total questions: 50

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

What is the meaning of the following symbol: ∈\in  

a)

element of or belongs to

b)

there exists

c)

for all or for every

d)

such that

e)

maps or relates

2.

What is the cardinality of set A, which contains all counting numbers less than 10?

a)

8

b)

9

c)

10

d)

0

3.

The Objects in the sets are called _____.

a)

Characters

b)

Symbols

c)

Elements

d)

Samples

4.

What is the meaning of the following symbol: NN  

a)

set of all Rational Numbers

b)

Natural Numbers

c)

set of all Complex Numbers

d)

Integers

e)

set of all Irrational Numbers

5.

What is the meaning of the following symbol: ZZ  

a)

set of all Rational Numbers

b)

Natural Numbers

c)

set of all Complex Numbers

d)

Integers

e)

set of all Irrational Numbers

6.
Find n(A) when
A = {14, 16, 18, 20, 22,
24}
a)
6
b)
12
c)
4
d)
8
7.

Set of factors of 12 is

a)

{ 1,2,3,4,5}

b)

{2,3,4}

c)

{1,2,3,4,12}

d)

{1,3,5,7}

8.

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

9.

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

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

10.

If A={6,8,10,12} then 5 ∈ A

a)

True

b)

False

11.

A set with no element.

a)

Proper Subset

b)

Singleton Set

c)

Equal Set

d)

Null Set

12.

The symbol for subset.

a)

⊂

b)

Ø

c)

⊄

13.

∈\in
is the symbol for _________

a)

element

b)

null

c)

set

14.

What is the meaning of the following symbol: QQ  

a)

set of all Rational Numbers

b)

Natural Numbers

c)

set of all Complex Numbers

d)

Integers

e)

set of all Irrational Numbers

15.

What is the meaning of the following symbol: RR  

a)

set of all Rational Numbers

b)

Natural Numbers

c)

set of all Complex Numbers

d)

Integers

e)

set of all Real Numbers

16.

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,...}

17.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

18.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

19.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

20.

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}

21.

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}

22.
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 }
23.
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
24.

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

a)

8

b)

6

c)

3

d)

0

25.

Which of the following means proper subset?

a)

⊂\subset  

b)

⊆\subseteq  

c)

∈\in  

d)

=

26.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
27.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
28.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p
c)
p and q
d)
p or q
29.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

30.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

31.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

32.

How many people own cats?

a)

3

b)

4

c)

6

d)

7

e)

10

33.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

34.

How many people ONLY own dogs?

a)

3

b)

4

c)

6

d)

7

e)

9

35.

How many people only own cats and dogs?

a)

3

b)

4

c)

6

d)

7

e)

9

36.
The numbers 0, 1, 2, 3, ... are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
37.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
38.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

39.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

40.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

41.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

42.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

43.

The first six nonzero multiples of 7 are....

a)

7, 14, 28, 35, 42, 49  7,\ 14,\ 28,\ 35,\ 42,\ 49\ \

b)

7, 14, 21, 28, 35, 42 7,\ 14,\ 21,\ 28,\ 35,\ 42\

c)

14, 21,28, 35, 42, 4914,\ 21,28,\ 35,\ 42,\ 49

d)

1, 7, 14, 21, 28, 35 1,\ 7,\ 14,\ 21,\ 28,\ 35\

44.
What is set of numbers that includes all positive and negative whole numbers?
a)
Whole Numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
45.
What is the set of numbers that includes fractions?
a)
Whole numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
46.
What are your counting numbers (1,2,3..)?
a)
Rational Numbers
b)
Whole Numbers
c)
Natural Numbers
d)
Irrational Numbers
47.

Choose the best definition of the term INTEGER...

a)

Positive numbers

b)

Positive numbers and zero

c)

Positive and negative whole numbers

d)

Positive and negative whole numbers, including zero

48.

Which set do I belong to?

(...-3, -2, -1, 0, 1,2 ...)

a)

Natural Numbers

b)

Rational Numbers

c)

Whole Numbers

d)

Integers

e)

Irrational Numbers

49.

Find the intersection of Set A and R if:

A = { 2, 4, 6, 8, 10} and

R = { 1, 2, 3, 4, 5}.

(a)  

50.

Check ALL the subsets of set F.


F = {10, 25}

a)

{ }

b)

{8}

c)

{25}

d)

{10, 25}

e)

{10}