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WorksheetsSet Theory
Total questions: 25
Worksheet time: 50mins
Name
Class
Date
1.
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}
2.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
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}
3.
From the above Venn diagram, what is the set S ∩ T?
a)
{casey, drew, jade, glen}
b)
{alex, casey, drew,hunter}
c)
{casey, drew}
d)
{drew, jade}
4.
From the above Venn diagram, what is the set (S ∪ T) ∩ V?
a)
{casey, drew, jade, glen}
b)
{alex, glen, hunter, jade}
c)
{casey, drew, glen}
d)
{drew, jade}
5.
From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."
a)
{casey, drew}
b)
{blair, francis, glen, jade}
c)
{blair, erin, francis, ira}
d)
{jade, glen, blair, erin, francis, ira}
6.
How many students do not ski or ice skate?
a)
10
b)
16
c)
22
d)
28
7.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
8.
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
9.
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
10.
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
11.
Answer the question in the image
a)
5
b)
2
c)
7
d)
3
12.
What is the answer to the question in the image?
a)
18
b)
20
c)
29
d)
25
13.
Determine if the set is well defined or not:
{x:x is a baseball team that has won the World Series}
{x:x is a baseball team that has won the World Series}
a)
Well Defined
b)
Not Well Defined
14.
What statement does the shaded region represent?
a)
A ∩ B ∩ C
b)
A ∪ B ∩ C
c)
B ∩ C
d)
A ∪ C
15.
Which of the following represents the shaded region?
a)
(A ⋃ B)'
b)
(A ∩ B)'
c)
A'
d)
B'
16.
{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
17.
What does this symbol ( ∪ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
18.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
19.
X ∩ Y ∩ Z
a)
{ }
b)
{Phillip}
c)
{Billy, Phillip, Bryan, Perez}
d)
{Billy, Perez, Bryan}
20.
Z ∪ Y
a)
{ }
b)
{Sarah, Gabino, Ja-Leah, Billy, Phillip, Bryan, Perez, Gabriel, William}
c)
{Brittney, Na'Quan, Bryan, Gabriel, William}
d)
{Gabriel, William, Bryan, Phillip, Perez}
21.
{ x | x is all 2nd Block Algebra 1 students}
a)
Roster Form
b)
Universal Form
c)
Set Builder Notation
d)
Equivalent Inequality
22.
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
23.
Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∪ R?
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∪ R?
a)
∅
b)
{pencils, erasers, pens}
c)
{gloves, paper, coins, phone}
d)
{pencils, erasers, pens, gloves, paper, coins, phone}
24.
Left Pocket (L) = {pencils, erasers, pens}
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?
Right Pocket (R) = {gloves, paper, coins, phone}
What is L ∩ R?
a)
∅
b)
{pencils, erasers, pens}
c)
{gloves, paper, coins, phone}
d)
{pencils, erasers, pens, gloves, paper, coins, phone}
25.
What is a set?
a)
A method of solving problems
b)
A collection of objects
c)
A 2-D shape
d)
{7}
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