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set

Total questions: 49

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
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}
2.
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
3.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
4.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

5.

Which is the correct set notation for A intersection B ?

a)

{12, 14, 15, 18, 21}

b)

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

c)

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

d)

{21}

6.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p
c)
p and q
d)
p or q
7.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p or q
c)
p and q
d)
Not q
8.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
9.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
10.
What does this symbol mean?
∉
a)
Is not a member of
b)
Is not an intersection
c)
Not the universal set
d)
Empty set
11.

A = { 1,2,3,4,5,6}

B= { 2,3,8,10,12}


find A - B

a)

{2,3}

b)

{1,4,5,6,}

c)

{1,3,4}

d)

{2,4,6}

12.

if U = { red, blue, green, yellow, purple}

A = {red, blue,yellow}

what is A'?

a)

A' = {green, purple}

b)

A' = {purple}

c)

A' = {blue, red, purple}

d)

A' = {red, blue green}

13.

Which of the following operations on sets describes the given Venn Diagram?

a)

A ∪ BA\ \cup\ B

b)

A ∩ BA\ \cap\ B

c)

A − BA\ -\ B

d)

A′A'

14.

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

a)

A ∩ BA\ \cap\ B

b)

A − BA\ -\ B

c)

A′ ∪ B′A'\ \cup\ B'

d)

A ∪ BA\ \cup\ B

15.

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

a)

(A ∩ B)′\left(A\ \cap\ B\right)'

b)

(A−B)′\left(A-B\right)'

c)

(A∪ B)′\left(A\cup\ B\right)'

d)

A′ ∪ BA'\ \cup\ B

16.

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

a)

A′−B′A'-B'

b)

(A∪B)′\left(A\cup B\right)'

c)

A′∪B′A'\cup B'

d)


(A∩B)′\left(A\cap B\right)'

17.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is  A∪BA\cup B  ?

a)

{2, 4, 5}

b)

{2, 3, 4, 5, 6}

c)

{3}

d)

{6}

18.

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

What is  A ∩ BA\ \cap\ B  ?

a)

{a, c, d}

b)

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

c)

{b, e}

d)

{f}

19.
How many students took the survey?
a)
32
b)
47
c)
53
d)
56
20.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
21.

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}

22.
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}
23.
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
24.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
25.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

26.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
27.

If A = {{1,2}, 3, 5, {6}}, then {6} ∈ A.

a)

TRUE

b)

FALSE

28.

Given set H = {10, 25, 20, 19, 12}, which of the following represents the cardinality of set H?

a)

2 elements

b)

3 elements

c)

4 elements

d)

5 elements

29.

Given U = {Arrianne, Noreen, Karina, Erika, Ronnie},

J = {Noreen, Ronnie, Erika},

K = {Arrianne, Karina, Ronnie} .

What is the (J ∩ K)?

a)

{Erika}

b)

{Noreen, Erika}

c)

{Arrianne, Karina}

d)

{Ronnie}

30.

Which is true about the given Venn Diagram?

a)

All sweets are chocolates

b)

All chocolates are sweet

31.

Check ALL the subsets of set F.


F = {10, 25}

a)

{ }

b)

{8}

c)

{25}

d)

{10, 25}

e)

{10}

32.

We asked a group of students whether they like football and tennis and made the following Venn diagram. Use the diagram to answer the questions.


How many students do not like football?

a)

12

b)

20

c)

8

d)

10

33.

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}

34.
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}
35.
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}
36.
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
c)
{1, 2, 3, 5, 6, 7, 9}
d)
{ }
37.
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)
{ }
38.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

39.
What statement does the shaded region represent?
a)
A or B and C
b)
Not C
c)
A or B
d)
B and C or A
40.
What statement does the shaded region represent?
a)
A and B and C
b)
A or B and C
c)
B and C
d)
A or C
41.

Which of the following is written in set?

a)

2,3,4,5

b)

{5,10,15,20}

c)

(a,e,i,o,u)

d)

(2,4,6,8}

42.

It is a set without any element.

a)

subset

b)

null set

c)

unit set

d)

sunset

43.

It refers to the number of elements in a set.

a)

finite set

b)

subset

c)

cardinality

d)

reality

44.

It is a set with countable number of elements.

a)

infinite set

b)

finite set

c)

unit set

d)

universal set

45.

It contains all things under consideration.

a)

universal set

b)

universal robina

c)

universal studios

d)

universal language

46.

What do you call the objects in a set?

a)

elements

b)

things

c)

subset

d)

union

47.

Which of the following is/are Infinite set?

a)

the set of trees in the world

b)

{ 1, 2, 3, ...}

c)

{x/x is a vowel letter}

d)

{ 2, 4, 6}

48.

Which of the following is not equal set?

a)

{1, 2, 3, 4} and { 3, 2, 4, 1}

b)

{ red, yellow, blue} and { orange, green, violet}

c)

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

d)

{ 2, 4, 6, 8} and { 1, 2, 3}

49.

What is a type of a set which contains unlimited elements?

a)

Finite Set

b)

Infinite Set

c)

Equal Set

d)

Equivalent Set