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Ideas about sets L7

Total questions: 50

Worksheet time: 41mins

Name
Class
Date
1.

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}

2.

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}

3.

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.

4.

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}

5.

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

6.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8

7.

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}

8.

Which of the following is the set of odd whole numbers less than 10?

a)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

D = {0, 2, 4, 6, 8}

c)

E = {1, 3, 5, 7, 9}

d)

None of the above

9.

Which set is denoted by {} or ∅?

a)

Universal Set

b)

Subset

c)

Null Set

d)

Proper Subset

10.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}


Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

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

11.

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

12.

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}

13.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

14.


 Q={3,5,7,9}Q=\left\{3,5,7,9\right\}  R={2,4,6,7}R=\left\{2,4,6,7\right\}  

Find  QRQ\cap R  

a)

{2,7}

b)

{5}

c)

{6,7)

d)

{7}

15.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
16.

It is an operation on sets that contains all elements of both sets without repeating element/s.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

17.

It is an operation on sets that contains elements that are common to both sets.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

18.

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}

19.
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}
20.
Determine if the set is well defined or not:
{x:x is a baseball team that has won the World Series}
a)
Well Defined
b)
Not Well Defined
21.
Determine if the statement is true or false.
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}
a)
True
b)
False
22.

This is a subset that is not equivalent to the original set.

a)

Improper Subset

b)

Proper Subset

c)

Power Set

d)

Coset

23.

A set A is called a __________ of B if every element of A is also an element of B.

a)

Proper Subset

b)

Power Set

c)

Subset

d)

Disjoint

24.

A set that contains all the elements considered in a particular situation and denoted by U.

a)

Universe

b)

Universal

c)

Universality

d)

Uniset

25.

Two sets are __________ if they contain exactly the same elements.

a)

Equal

b)

Equivalent

c)

Subset

d)

Proper Subset

26.

This is the number of elements of a set.

a)

Number

b)

Width

c)

Cardinality

d)

Value

27.

This is a set with no elements.

a)

Singleton Set

b)

Null Set

c)

Subset

d)

No Set

28.

The three ways in representing a set include:

a)

Recursive Rule

b)

Sampling Method

c)

Listing Method

d)

Set-Builder Notation

e)

FOIL Method

29.

The objects in the set are also called ____________.

a)

Elements

b)

Sample

c)

Character

d)

Input

30.

This is a collection of well-defined objects.

a)

Functions

b)

Relations

c)

Sets

d)

Binary Operations

31.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

32.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

33.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
34.

How many students participate in drama and music class?

a)

7

b)

9

c)

15

d)

16

35.

Which person takes all three classes?

a)

Mark

b)

Steph

c)

Bob

d)

Molly

36.

How many students walk and take the bus?

a)

19

b)

48

c)

8

d)

10

37.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
38.
How many students took the survey?
a)
32
b)
47
c)
53
d)
56
39.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
40.

Which is the correct set notation for the complement of A union 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}

41.

Which of the following means proper subset?

a)

 \subset  

b)

 \subseteq  

c)

 \in  

d)

=

42.

A survey was conducted to find what percentage of HS students prefer using Snapchat or Instagram or both. Students had to select one of those three options. Let A represent the set of students who prefer Snapchat and B represent the set of students who prefer Instagram? Which statement correctly describes the complement of set B?

a)

The students who prefer Snapchat or Instagram or both.

b)

The students who prefer Snapchat but not Instagram

c)

The students who prefer only Snapchat or only Instagram.

d)

The students who prefer only Instagram

43.

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}

44.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to  (AB)C\left(A\cup B\right)\cap C ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

45.

Suppose A={factors of 20} and B={factors of 12}, what is  A\cap B  ?

a)

{1, 2, 4}

b)

{1, 2, 3, 4, 5, 6, 10, 12, 20}

c)

{12, 20}

d)

{3, 5, 6, 10, 12, 20}

46.
Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B
a)
{1, 3, 4}
b)
{1, 2, 3, 4, 6,8}
c)
{1, 2, 3, 4, 5, 6, 7, 8}
47.

The image represents which of the following?

a)

intersection, "and"

b)

intersection, "or"

c)

union, "and"

d)

union, "or"

48.

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

49.

{ x | x is a Marymount Student}

a)

Roster Form

b)

Universal Form

c)

Set Builder Notation

d)

Equivalent Inequality

50.

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

a)

Set of Math books in the library

b)

Set of large animals

c)

Set of nice objects

d)

Set of small boxes