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Challenge the Sets 2

Total questions: 40

Worksheet time: 37mins

Name
Class
Date
1.

Which of the following is a well-defined set?

a)

{colors}

b)

{letters in the alphabet}

c)

{plant}

d)

{even numbers}

2.

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

3.

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}

4.

It is a diagram that uses circles to represent sets. The relation between the sets is indicated by the arrangement of circles.

a)

Universal Set

b)

Subset

c)

Venn Diagram

d)

Set

5.

Which is true about the given Venn Diagram?

a)

All sweets are chocolates

b)

All chocolates are sweet

6.

Find the intersection of Set A and R if:

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

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

(a)  

7.

Check ALL the subsets of set F.


F = {10, 25}

a)

{ }

b)

{8}

c)

{25}

d)

{10, 25}

e)

{10}

8.

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 don’t like football nor tennis?

a)

15

b)

10

c)

12

d)

8

9.

Given sets:

A = {s, t, a, y}

B = {a, t}

C = {h, o, m, e}


Find the Union of Set A, B and C

(a)  

10.

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}

11.

It is a set without any element.

a)

subset

b)

null set

c)

unit set

d)

sunset

12.

It is a set with countable number of elements.

a)

infinite set

b)

finite set

c)

unit set

d)

universal set

13.

What do you call the objects in a set?

a)

elements

b)

things

c)

subset

d)

union

14.

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

a)

Finite Set

b)

Infinite Set

c)

Equal Set

d)

Equivalent Set

15.
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
16.

The set of natural numbers

a)

Null set

b)

Unit set

c)

Finite set

d)

Infinite set

17.

The set of airplanes in the sky right now

a)

Null set

b)

Unit set

c)

Finite set

d)

Infinite set

18.

The set of months in a year that ends in"y" is an example of finite set.

a)

True

b)

False

19.

(a)   set is a set in which it is NOT possible to list and count the elements of the set.

20.
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
21.

 A subset is part of a set A\ subset\ is\ part\ of\ a\ set\   

a)

True

b)

False

22.

If A= { 1,2,3} one subset is:

a)

{ 4 }

b)

{ 0 }

c)

{ }

23.

P={a, b, c, d, e, f, g, h, i, j, k, l,m}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequalities

24.

P={a, b, c, d, e, f, g, h, i, j, k, l,m}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequalities

25.

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

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

26.

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

a)

Equal

b)

Equivalent

27.

Determine if these two sets are equal or equivalent.

A = {2, 6, 10, 14}

B = {6, 2, 14, 16}

a)

Equal

b)

Equivalent

28.

If U = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} and A = {12, 13, 14, 20}, what is the complement of A?

a)

{11, 15, 16, 17, 18, 19}

b)

{11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

c)

{12, 13, 14, 20}

d)

{15, 16, 17, 18, 19}

29.

The Universal Set U= { -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}

30.

The universal set U = {1,2, 3, 4, 5,6, 7,8, 9}

A = {1, 3, 5, 7, 9} B = {2, 3, 5, 7}

What is A' ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{ 2, 4, 6, 8}

31.

What is the set that represents 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}

32.

The universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {1, 3, 5, 7, 9} B = {2, 3, 5, 7}

What is B' ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{1,4,6,8,9}

d)

{ 2, 4, 6, 8}

33.

The elements of   AA'   are...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

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

34.

The elements of   AA'   are...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

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

35.

The elements of   BB'   are...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

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

36.

 QQ'  

a)

{2,4,5,7,8}

b)

{2,4,8}

c)

{1,3}

d)

{2,6}

37.

 (AB)\left(A\cup B\right)'  

a)

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

b)

{1,3,4,8}

c)

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

d)

{5,7}

38.
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
39.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
40.

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}