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SS1 SET THEORY

Total questions: 40

Worksheet time: 2hrs 1mins

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?
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.
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}
4.
If
P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?
a)
{4}
b)
{4, 6}
c)
{4, 6, 8}
d)
{1, 2, 3, 4, 6, 8}
5.
Find n(A) for the set:
A = {14, 16, 18, 20, 22, 24}
a)
6
b)
12
c)
4
d)
8
6.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
7.
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
c)
{1, 2, 3, 5, 6, 7, 9}
d)
{ }
8.
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ (B ⋃ C)?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
c)
{1, 2, 3, 5, 6, 7, 9}
d)
{ }
9.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

10.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

11.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

12.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

13.
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
14.
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
15.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
16.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

17.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
18.
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
19.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ A

a)

⊂

b)

⊄

20.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ A

a)

⊂

b)

⊄

21.

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}

22.
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}
23.
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}
24.
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}
25.
How many students do not ski or ice skate?
a)
10
b)
16
c)
22
d)
28
26.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
27.
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
28.
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
29.
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
30.
Answer the question in the image
a)
5
b)
2
c)
7
d)
3
31.
What is the answer to the question in the image?
a)
18
b)
20
c)
29
d)
25
32.
Determine if the statement is true or false.
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}
a)
True
b)
False
33.

Given the following Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).

What is n(D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

34.
What statement does the shaded region represent?
a)
A ∩ B ∩ C
b)
A  ∪ B ∩ C
c)
B ∩ C
d)
A ∪ C
35.
Which of the following represents the shaded region?
a)
(A ⋃ B)'
b)
(A ∩ B)'
c)
A'
d)
B'
36.
Determine the number of people who participated in weight-training (W) and cardio (C).
a)
15
b)
54
c)
69
d)
75
37.
Determine n(W ⋂ C)'.
a)
6
b)
15
c)
54
d)
60
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.

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}

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