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Worksheets

Sets-VENN DIAGRAMS

Total questions: 29

Worksheet time: 13mins

Name
Class
Date
1.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
2.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
3.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
4.

What statement does the shaded region represent?

a)

A U B

b)

A - B

c)

Not A

d)

Not A or B

5.
How many students took the survey?
a)
32
b)
47
c)
53
d)
56
6.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

7.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

8.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

9.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

10.

What statement does the shaded region represent?

a)

ABCA\cap B\cap C

b)

(AB)C\left(A\cup B\right)\cap C

c)

BCB\cap C

d)

ACA\cup C

11.

What statement does the shaded region represent?

a)

(AB)C\left(A\cup B\right)\cap C

b)

CC'

c)

ABA\cup B

d)

(BC)A\left(B\cap C\right)\cup A

12.

What statement does the shaded region represent?

a)

C(AB)C\cap\left(A\cup B\right)

b)

C(AB)C\cup\left(A\cap B\right)

c)

(AB)C\left(A\cap B\right)\cap C

d)

C(AB)C\cap\left(A\cap B\right)

13.
Which is the correct set notation for A U 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}
14.

Which diagram best represents the relationship among integers, rational numbers, and whole numbers?

a)
b)
c)
d)
15.

Which Venn diagram is correctly shaded?...

a)
b)
c)
16.
a)

(A ∪ B ∪ C )′

b)

(A ∪ B ∪ C )

c)

(A ∪ B )′

d)

(A′ ∪ B ′)

17.
a)

(A ∩ B)' ∩ (A' ∩ B')

b)

A′ ∩ B

c)

A ∩ B

d)

A′ ∪ B ′

18.

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}

19.

How many students participated in spanish or math?

a)

238

b)

255

c)

5

d)

15

20.

How many students walk and take the bus?

a)

19

b)

48

c)

8

d)

10

21.
What statement does the shaded region represent?
a)
A' ∩ B
b)
A ∩ B'
c)
A ∩ B
d)
A' ∩ B'
22.

 (AB)C \left(A\cap B\right)\cup C\ '  

a)
b)
c)
23.

 (AB)C \left(A\cap B\right)\cap C\ '  

a)
b)
c)
24.

 A(BC)A\cup\left(B\cap C\right)  

a)
b)
c)
25.

 A(BC)A\cap\left(B\cup C\right)'  

a)
b)
c)
26.

 A(BC)A'\cup\left(B'\cap C\right)  

a)
b)
c)
27.

 (AC)B\left(A\cap C'\right)\cup B'  

a)
b)
c)
28.

 (AB)C\left(A'\cup B\right)'\cap C  

a)
b)
c)
29.

 (AB)(BC)\left(A\cap B'\right)\cup\left(B\cap C'\right)  

a)
b)
c)
d)