Free Printable Sets and subsets

1.

TRUE or FALSE.

A subset is part of a set.

a)

TRUE

b)

FALSE

2.

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

a)

universal set

b)

null set

c)

subset

d)

proper subset

3.

If A = {1, 2, 3}, which of the following is one of its subset?

a)

{4}

b)

{0}

c)

{ }

d)

0

4.

What does ⊆ mean?

a)

empty set

b)

superset

c)

proper subset

d)

subset

5.

If U = {1, 3, 5, 7, 9, 11, 13}, which of the following is a proper subset of U?

a)

B = {2, 4}

b)

C = {1, 9, 8, 13}

c)

D = {2, 3, 4, 5}

d)

F = {5, 11, 1, 3}

6.

Which if the following is a subset of

A = {car, airplane, train}

a)

{boat}

b)

{car, train}

c)

{motorcycle, car}

d)

{bicycle, train}

7.

Complete the statement.

If every element is Set A is an element of Set B, then

a)

A is a subset of B

b)

A ⊂ B

c)

B is a proper subset of A

d)

A and B are parallel

8.

TRUE or FALSE

Let P = {3, 5, 7, 9, 11} and Q = {9, 11, 13} then

Q ⊂ P

a)

TRUE

b)

FALSE

9.

Complete the sentence.

Every set is a subset of __________.

a)

0

b)

itselt

c)

{∅}

d)

real number

10.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8} C = {2, 4}

Which of the following statement is TRUE?

a)

B ⊂ C

b)

A ⊂ C

c)

C ⊂ A

d)

A ⊂ B

11.

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

a)

True

b)

False

12.

A set always include the empty set or null

a)

True

b)

False

13.

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

a)

{ 4 }

b)

{ 0 }

c)

{ }

14.

Given A= { 1, 2, 3 } B= { 2, 4, 5} the intersection is:

a)

{1, 2 }

b)

{3 }

c)

{ 2 }

15.

Fork and Knife represent

a)

Null

b)

Intersection

c)

Union

d)

Subtraction

16.

Couch Television is part of set A and B

a)

True

b)

False

c)

Belong to the Universe

17.

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U?

a)

B = {2, 4}

b)

C = {1, 9, 5, 13}

c)

F = {2, 3, 4, 5}

d)

D = {5, 11, 1, 2}

18.

Let A = {2, 3, 4, 5, 6, 7}

B = {2, 4, 7, 8)

C = {2, 4}.

Which of the following mathematical statements is true?

a)

B ⊂ C

b)

A ⊂ C

c)

C ⊂ A

d)

A ⊂ B

19.

Which of the following sets has 4 elements?

a)

A = { x/x is an odd number }

b)

B = { x/x is a vowel }

c)

C = {x/x is an even number between 1 to 9}

d)

D = {x/x is an even number from 2 to 10}

20.

What is wrong with the set listed below?

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

a)

It is not written with roster notation.

b)

A capital letter is used to represent this set.

c)

The objects in this set are not unique.

d)

None of the above.

21.

Which of the following statements is true about the set listed below?

C = {x/x is a prime number less than 20}

a)

9 is not an element of C

b)

2 is an element of C

c)

Set C is an infinite set.

d)

All of the above.

22.

If A = { x/x is a counting number from 1 to 10}
B = { 2, 4, 6, 8, 10}, what is $A\cap B?$

a)

$A\cap B$ = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

b)

$A\cap B$ = { 2, 4, 6, 8, 10}

c)

$A\cap B\ =\ \left\{1,\ 3,\ 5,\ 7,\ 9\right\}$

d)

$A\cap B\ =\ \left\{\right\}$

23.

If A = { x/x is a counting number from 1 to 10}
B = { 2, 4, 6, 8, 10}, what is $A\cup B?$

a)

$A\cup B\ =\ \left\{2,\ 4,\ 6,\ 8,\ 10\right\}$

b)

$A\cup B\ =\ \left\{1,\ 3,\ 5,\ 7,\ 9,\right\}$

c)

$A\cup B\ =\ \left\{1,\ 2,\ 3,\ 4,\ 5\right\}$

d)

$A\cup B$ = { x/x is a counting number from 1 to 10}

24.

If U = { x/x is a counting number from 1 to 10}

A = { 2, 4, 6, 8, 10}, what is A'?

a)

A' = {x/x is a counting number from 1 to 10}

b)

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

c)

A' = {1, 3, 5, 7, 9}

d)

A' = {6, 7, 8, 9, 10}

25.

If A = { x/x is a vowel } and B = { 1, 2, 3, 4, 5}, which of the following statements is true?

a)

A = B

b)

n(A) = B

c)

A = n(B)

d)

n(A) = n(B)

26.

Which of the following statements is correct?

a)

All equal sets are equivalent sets.

b)

All equivalent sets are equal sets.

c)

All sets are equal.

d)

All sets are equivalent.

27.

Given that $B\ =\ \left\{green,\ blue,\ indigo,\ violet\right\}$

A\ =\ \left\{red,\ orange,\ yellow\right\}

, what is

A\cap B

?

a)

$A\cap B\ =\ \left\{\ \ \ \right\}$

b)

$A\cap B\ =\ \left\{red,\ orange,\ yellow,\ green\right\}$

c)

$A\cap B\ =\ \left\{blue,\ indigo,\ violet\right\}$

d)

$A\cap B=\left\{red,\ orange,\ yellow,\ green,\ blue,\ indigo,\ violet\right\}$

28.

If set C = {fries, fried chicken, spaghetti, coke float} and set D = {kalabasa, papaya, malunggay, pipino}, what is $C\cup D$ ?

a)

$C\cup D\ =$ { }

b)

$C\cup D\ =\left\{talong,\ sitaw,\ ampalaya,\ kamote\right\}$

c)

$C\cup D\ =\$ {fries, fried chicken, spaghetti, papaya, malunggay, pipino}

d)

$C\cup D\ =\$ {kalabasa, papaya, malunggay, pipino, fries, fried chicken, spaghetti, coke float}

29.

Determine the number of elements in a given set

X = {x/x is a counting number between 0 to 20}

a)

21

b)

20

c)

19

d)

18

30.

What is correct symbol for empty set?

a)

{0}

b)

$\left\{\phi\right\}$

c)

$\infty$

d)

$\phi$

31.

If A' = { 2, 4, 6, 8, 10} and A= {1, 3, 5, 7, 9}, what is $A'\cap A?$

a)

$A'\cap A=\left\{2,\ 4,\ 6,\ 8,\ 10\right\}$

b)

$A'\cap A\ =\ \left\{1,\ 3,\ 5,\ 7,\ 9\right\}$

c)

$A'\cap A=\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 10\right\}$

d)

$A'\cap A\ =\ \phi$

32.

Identify whether the following set is finite or infinite: A = {1, 2, 3, 4, 5}

a)

odd numbers

b)

prime numbers

c)

finite

d)

negative numbers

33.

What is the null set?

a)

A set that contains all elements

b)

A set that contains only odd numbers

c)

A set that contains infinite elements

d)

A set that contains no elements.

34.

Define a universal set and provide an example.

a)

Example: In a set of all fruits in a grocery store, the universal set would be the set of all vegetables in the grocery store.

b)

Example: In a set of all students in a school, the universal set would be the set of all students enrolled in that school.

c)

Example: In a set of all cars in a parking lot, the universal set would be the set of all animals in the parking lot.

d)

Example: In a set of all books in a library, the universal set would be the set of all movies in the library.

35.

Determine if B = {1, 2} is a subset of A = {1, 2, 3, 4, 5}.

a)

B = {1, 2, 3}

b)

Yes

c)

No

d)

B = {3, 4, 5}

36.

How many subsets does the set C = {a, b, c} have?

a)

3

b)

10

c)

8

d)

6

37.

Explain the concept of equal sets with an example.

a)

Equal sets are sets that have different elements

b)

Equal sets are sets that have elements in descending order

c)

Equal sets are sets that have the same number of elements

d)

For example, the sets A = {1, 2, 3} and B = {3, 2, 1} are equal sets because they contain the same elements, even though the order of the elements is different.

38.

What are equivalent sets? Provide an example.

a)

For example, the sets {1, 2, 3} and {3, 2, 1} are equivalent sets.

b)

Equivalent sets are sets that have the same number of elements.

c)

The sets {1, 2, 3} and {4, 5, 6} are equivalent sets.

d)

Equivalent sets are sets that have different elements.

39.

Identify whether the following set is finite or infinite: D = {x | x is a prime number}

a)

finite

b)

odd numbers

c)

even numbers

d)

infinite

40.

What is the null set in the context of a set of even numbers?

a)

The null set in the context of a set of even numbers is the set of whole numbers.

b)

The null set in the context of a set of even numbers is the set of prime numbers.

c)

The null set in the context of a set of even numbers is the set of odd numbers.

d)

The null set in the context of a set of even numbers is the empty set.

41.

Give an example of a universal set in the context of the set of all living organisms.

a)

The set of all non-living organisms on Earth

b)

The set of all living organisms on Earth

c)

The set of all living organisms on Mars

d)

The set of all inanimate objects on Earth

42.

Is E = {1, 2, 3} a subset of F = {1, 2, 3, 4, 5}? Explain your answer.

a)

No, because E has more elements than F

b)

No, because E does not contain all the elements of F

c)

Yes

d)

No, because E is a proper subset of F

43.

How many subsets does the set G = {m, n, o, p} have?

a)

16

b)

8

c)

12

d)

4

44.

Provide an example of two equal sets.

a)

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

b)

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

c)

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

d)

Example: {1, 2, 3} and {3, 2, 1} are equal sets because they contain the same elements.

45.

Explain the concept of equivalent sets with an example.

a)

Equivalent sets are sets that have the same number of elements and can be put into one-to-one correspondence with each other.

b)

Equivalent sets are sets that have no elements in common.

c)

Equivalent sets are sets that have different numbers of elements but can still be considered equivalent.

d)

Equivalent sets are sets that have the same elements but in a different order.

46.

Identify whether the following set is finite or infinite: H = {1, 4, 9, 16, 25, ...}

a)

even numbers

b)

prime numbers

c)

odd numbers

d)

infinite

47.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

48.

How would 5/9 be classified?

a)

rational

b)

whole and integer

c)

only integer

d)

only whole

49.

Classify the Number: 120

a)

Whole, integers rational

b)

rational

c)

whole

d)

Whole, integer

50.

-14 could NOT be which type of number?

a)

Integer

b)

Whole

c)

Rational

51.

Which statement is true?

a)

Every rational number is an integer

b)

Every whole number is a rational number but not an integer

c)

Every integer is a whole number

d)

Every whole number is a rational number

52.

What number is an integer?

a)

½

b)

1.65

c)

-4

d)

3 ¾

53.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

54.

Which number would be located in the shaded area of the diagram? STAAR

a)

-1.7

b)

-8

c)

0.66

d)

10

55.

Which diagram best represents the relationship among integers, rational numbers, and whole numbers? 7th grade STAAR

a)

b)

c)

d)

56.

Based on the chart, how many subsets are within the integers set?

a)

1

b)

2

c)

3

d)

none

57.

Zero is a ___________.

a)

whole number

b)

natural number

c)

whole number, integer, and rational

d)

irrational

58.

Which are the proper subsets of { g, r, e, a, t }?

a)

{ t, e, a }

b)

{ g, a, t, e }

c)

{ t, e, a, r }

d)

{ g, r, a, t, e }

e)

{ g, e, a, r }

59.

Which method is illustrated by { 1, 3, 5, 7, 9 }?

a)

Roster Method

b)

Set-builder Notation

c)

Rule Method

d)

Subset

60.

The objects in the set are also called ____________.

a)

Elements

b)

Sample

c)

Character

d)

Input

Sets and subsets

Total questions: 60

Worksheet time: 4hrs 30mins

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