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Worksheets

Numbers and Number Sense - Sets

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

It is a well-defined collection of objects.

a)

ordered pair

b)

set

c)

element

d)

relation

2.

Which of the following is a well-defined set?

a)

a set of painters

b)

a set of students

c)

a set of Philippine Presidents

d)

a set of actors

3.

What is the cardinality of A = {blue, red, yellow}?

a)

2

b)

3

c)

4

d)

5

4.

Which of the following is an example of a finite set?

a)

the set of whole numbers

b)

B = {-10, -9, -8, …8, 9, 10}

c)

A = {x|x is the set of rational numbers}

d)

C = {… -10, -9, -8, … 8, 9, 10, …}

5.

Which of the following is an example of an infinite set?

a)

the female presidents of the Philippines

b)

the cities in Metro Manila

c)

the sands in the beach

d)

the letters in the English alphabet

6.

Given the set of consonants in the word “STATISTICS”. What is the cardinality of the given set?

a)

10

b)

3

c)

7

d)

5

7.

The symbol for intersection is ________.

a)

U

b)

c)

Δ\Delta

d)

ϵ\epsilon

8.

If A = (a, b, c), how many subsets does A have?

a)

3

b)

4

c)

6

d)

8

9.

if M = {5,6,7,8,9,10} and N = {3,4,5}, what is  NMN\cup M  

a)

{5,6,7,8,9}

b)

{3,4,5,6,7,8,9,10}

c)

{ }

d)

{3,4,5}

10.

Find the complement of the given set for U = {0,2,4,6} if D = {0.2}

a)

D' = {4,6}

b)

D' = {2,4,6}

c)

D' = {0,2,4}

d)

D' = { }

11.

Which of the following shaded regions in the Venn Diagrams represent  ABA\cap B  ?

a)
b)
c)
d)
12.

Which set notation represent the shade region in the given Venn Diagram?

a)

ABA\cup B

b)

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

c)

ABA\cap B

d)

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

13.

One hundred forty students were surveyed. The Venn diagram shows the number of students who enjoy singing and/ or dancing. How many students enjoy dancing?

a)

32

b)

43

c)

55

d)

87

14.

One hundred forty students were surveyed. The Venn diagram shows the number of students who enjoy singing and/ or dancing. How many students enjoy singing only?

a)

32

b)

43

c)

55

d)

98

15.

A group of 25 Grade 7 students were asked whether they use Facebook and Instagram or both. Fifteen of these students use Instagram and two of them use both account. How many students use Instagram only?

a)

8

b)

10

c)

12

d)

13

16.

One hundred forty students were surveyed. The Venn diagram shows the number of students who enjoy singing and/ or dancing. How many students enjoy singing and dancing?

a)

32

b)

43

c)

55

d)

75

17.

One hundred forty students were surveyed. The Venn diagram shows the number of students who enjoy singing and/ or dancing. How many students enjoy dancing but not singing?

a)

32

b)

43

c)

55

d)

87

18.

One hundred forty students were surveyed. The Venn diagram shows the number of students who enjoy singing and/ or dancing. How many students dislike singing or dancing?

a)

3

b)

5

c)

10

d)

12

19.

which of the following is the symbol of union?

a)

\cup

b)

\cap

c)

\in

d)

\subset

20.

Given U = {s,h,a,r,e}, A = {s,h,e}    B = {e,r,a}. What is  A  BA'\ \cap\ B  

a)

{s,h,e}

b)

{a,r}

c)

{e}

d)

{s,h,e,r,a}