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Worksheets

Problem Solving with Venn Diagramming

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
a)
b)
c)
2.

shade the required region

a)
b)
c)
3.

Shade the required region

a)
b)
c)
4.

Use set notation to describe the shaded regions

a)

AUBAUB'

b)

BUAB'UA

c)

BAB'\cap A

5.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).

How many students study Music?

a)

14

b)

16

c)

5

6.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).How many students study exactly two subjects?

a)

14

b)

16

c)

15

7.
a)
b)
8.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
9.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
10.
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
11.
Left Pocket (L) = {pencils, erasers, pens}
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}
12.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
13.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

14.
What does this symbol ( ⊆ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
15.
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}
16.

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}

17.
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}
18.

How many students took French and Spanish?

a)

18

b)

3

c)

15

d)

104

19.

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

What is n(D ⋃ M)?


Daripada gambar rajah Venn, katakan biru mewakili murid yang mengambil drama (D) dan hijau mewakili murid yang mengambil matematik (M).

Apakah n(D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

20.

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

21.

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

22.

It is an operation on sets that contains elements belong to set A, but do not belong to set B.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

23.

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}

24.
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)
{ }
25.

If U = {11, 12, 13, 14, 15, 16, 17, 18, 19, 20} and A = {12, 13, 14, 20}, what is the complement of A?

a)

{12, 13, 14, 20}

b)

{15, 16, 17, 18, 19}

c)

{11, 15, 16, 17, 18, 19}

d)

{11, 12, 13, 14, 15, 16, 17, 18, 19, 20}