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Worksheets

Test Yourself # 2: Set Relations

Total questions: 60

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

All the consonants of the English alphabet.

a)

Well-defined

b)

not well-defined

2.

All the prime numbers less than 100.

a)

Well-defined

b)

not well-defined

3.

set of honest people in a class.

a)

Well-defined

b)

not well-defined

4.

Identify if the set below is an example of a well-defined set or an example of a not well-defined set.


Set of all countries in Asia

a)

Not well-defined set

b)

Well-defined set

5.

Identify if the set below is an example of a well-defined set or an example of a not well-defined set.


Set of all planets of our solar system

a)

Not well-defined set

b)

Well-defined set

6.

The following are well-defined set EXCEPT.

a)

Group of Junior High School teachers in Maria Clara Integrated School.

b)

Group of enjoyable subject in high school.

c)

Group of Philippine Presidents from past to present.

d)

Group of dry ingredients for Goldilocks Mocha Chiffon cake.

7.

The set of durable bags.

a)

Well-defined

b)

Not

8.

The set of even counting numbers.

a)

Well-defined

b)

Not

9.

The set of consonants in the English Alphabet.

a)

Well-defined

b)

Not

10.

Set of days in a week start with letter M.

a)

Well- defined

b)

Not well-defined

11.

Identify if the statement below is true or false.

\in  set of all letters of the word "follow"

a)

True

b)

False

12.

Identify if the statement below is true or false.

{x}  \in  {{x}, {y}}

a)

True

b)

False

13.

Identify if the statement below is true or false.

\in  {1, 2, 3}

a)

True

b)

False

14.

Identify if the statement below is true or false.

{x, y, z}  \in  {a, b, c, x, y}

a)

True

b)

False

15.

Identify if the statement below is true or false.

{b, c}  \in  {a, b, c, d, e}

a)

True

b)

False

16.

Identify if the statement below is true or false.

12  \in  {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

a)

True

b)

False

17.

Identify if the statement below is true or false.

\in  set of even numbers

a)

True

b)

False

18.

What do you call the objects used to form a set?

a)

Braces

b)

Comma

c)

Elements

19.

The members of a set are written inside a pair of _____________________.

a)

curly braces

b)

commas

c)

capital letter

20.

The name of the set is always written in _________________.

a)

small letter

b)

number

c)

capital letter

21.

All equal sets are equivalent sets

a)

False

b)

True

c)

Maybe

22.

Equal sets have

a)

the exact same elements

b)

the same number of elements

c)

the opposite

d)

nothing

23.

Equivalent sets have

a)

the opposite elements

b)

nothing

c)

the exact same elements

d)

the same number of elements

24.

A= {letters in the word SEAT}

B= {letters in the word TASTE}


Determine if these two seats are equal or equivalent.

a)

Equivalent because they have the same letters

b)

Not equal because SEAT has 4 letters and TASTE has 5 letters

c)

Equal because each set has the same amount and the same letters.

25.

Which of the following is an example of a well defined a set?

a)

Set of Math books in the library

b)

Set of nice objects

c)

Set of large objects

d)

Set of small boxes

26.

Determine if these two sets are equal or equivalents.

A= {2, 6, 10, 14}

B= {6, 2, 14, 16)}

a)

Equal

b)

Equivalent

27.

Given T= {m, 4, 7, 9} and

H= {4, 9, 3, n}

If set T and set H are equal sets,

then what is the value of m + n?

a)

14

b)

8

c)

10

d)

12

28.
Given that
R = { factors of  36 }. 
n(R) = 
a)
6
b)
9
c)
12
d)
15
29.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
30.

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}

31.
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
32.

Which of the following means proper subset?

a)

\subset  

b)

\subseteq  

c)

\in  

d)

=

33.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

34.

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

a)

Element

b)

Set

c)

Cardinality

d)

Universal Set

35.

1. Which best describe the set

{0, 2, 4, 6, …}?

a)

Set of all counting numbers divisible by 2

b)

Set of all composite numbers

c)

Set of all whole numbers divisible by 2

d)

Set of rational numbers

36.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

37.
Given that
R = { factors of  36 }. 
n(R) = 
a)
6
b)
9
c)
12
d)
15
38.
Given that
set  V = { m, n, o, p },
find the number of subsets  V.
a)
16
b)
12
c)
10
d)
8
39.

Which of the following is not a well-defined set?

a)

The set of boys in your class

b)

The set of even numbers

c)

The set of students wearing red dress

d)

The set of the colors of the rainbow

40.

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

41.

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}

42.

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}

43.
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
44.

Every set has _____ as one of its subsets (select all that apply.)

a)

b)

0

c)

itself

d)

the real numbers

45.

Which of the following means proper subset?

a)

\subset  

b)

\subseteq  

c)

\in  

d)

=

46.

Which of the following is the symbol for element of?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

47.

Equivalent sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

48.

Equal sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

49.

What is the cardinality of the set A = {whole numbers less than or equal to 20}?

a)

20

b)

21

c)

19

d)

18

50.

The objects inside the set are called (a)  

51.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

52.

All equal sets are equivalent sets.

a)

TRUE

b)

FALSE

c)

MAYBE

53.

What is the cardinality of a null set?

a)

0

b)

1

c)

infinite

d)

undefined

54.

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

a)

ϵ\epsilon

b)

\subset

c)

==

d)

⊄\not\subset

55.

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

56.

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}

57.

Consider M={vowels in the word "MATHEMATICS"}. Find n(M).

a)

4

b)

3

c)

7

d)

10

58.

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}

59.

When one set shares all its members with another, what is it called?

a)

intersection

b)

union

c)

empty set

d)

subsets

60.

What are sets with unlimited members or elements called?

a)

finite sets

b)

infinite sets

c)

improper sets

d)

proper sets