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Worksheets

Sets

Total questions: 16

Worksheet time: 30mins

Name
Class
Date
1.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

2.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

3.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

4.

List the elements of (A U B)'

a)

{1,4}

b)

{2,3,5,6,7,8,9}

c)

{2,3,6,7,8}

d)

{5,9}

5.

If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'

a)

{7,11,13}

b)

{7,9,11,13}

c)

{2,3,5}

d)

U

6.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

7.

Find n(A) when

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

a)

6

b)

4

c)

12

d)

even numbers

8.

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}

9.

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}

10.

Which of the following is the symbol for element of?

a)

b)

 \subset  

c)

 \in  

d)

 ⊄\not\subset  

11.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

\forall

d)

A'

12.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

13.

Which of the following statements are true for the Venn diagram shown?

a)

Overlapping sets

b)

Subsets

c)

Disjoint sets

d)

Equal sets

14.

(a)   is a collection of well-defined objects.

15.

Another term for member of a set.

a)

element

b)

set

c)

set notation

d)

roster method

16.

This quarter, a survey of 100 students at a local college finds the following:

50 take math 40 take English 30 take history 15 take English and math 10 take English and history 10 take math and history 5 take all three subjects.

Use a Venn diagram to determine the following. The number of students taking math but not the other two subjects.

a)

30

b)

60

c)

10

d)

100