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Summative Test in Math 7 (Sets and Integers)

Total questions: 30

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

Which of the following sets is well-defined?

a)

The set of good teachers

b)

The set of even counting numbers

c)

The set of heartbreaking Korean dramas

d)

The set of diligent students in your school

2.

What is the cardinality of A = {m, a, t, h}?

a)

1

b)

2

c)

3

d)

4

3.

Which of the following is an empty set?

a)

A set of birds that cannot fly

b)

A set of planets with more than one satellite

c)

A set of counting numbers between 9 and 10

d)

A set of vowels letters in the word mathematics

4.

What best describes the set {1, 2, 3, 4, ...}?

a)

Set of rational numbers

b)

Set of all whole numbers

c)

Set of all composite numbers

d)

Set of all counting numbers divisible by 2.

5.

Which of the following illustrates A ∩ B?

a)
b)
c)
d)
6.

Which of the following illustrates A U B?

a)
b)
c)
d)
7.

There are 42 students in a freshmen class. There are 27 students like Mathematics, 24 students like Science and 9 students like both.


How many students like Mathematics only?

a)

42

b)

27

c)

24

d)

18

8.

There are 42 students in a freshmen class. There are 27 students like Mathematics, 24 students like Science and 9 students like both.


How many students like Science only?

a)

9

b)

10

c)

15

d)

24

9.

Use the Venn diagram below which shows the number of students in a school according to the sports they want to play. They are to choose between Basketball (B), Volleyball (V), or Table Tennis (T).


How many students played Tennis? 

a)

8

b)

9

c)

11

d)

19

10.

Use the Venn diagram below which shows the number of students in a school according to the sports they want to play. They are to choose between Basketball (B), Volleyball (V), or Table Tennis (T).


How many students are interested in Basketball and Volleyball?

a)

2

b)

5

c)

6

d)

16

11.

Use the Venn diagram below which shows the number of students in a school according to the sports they want to play. They are to choose between Basketball (B), Volleyball (V), or Table Tennis (T).


How many students joined Basketball only?

a)

7

b)

8

c)

9

d)

11

12.

Use the Venn diagram below which shows the number of students in a school according to the sports they want to play. They are to choose between Basketball (B), Volleyball (V), or Table Tennis (T).


How many did not join any of the three events?

a)

3

b)

4

c)

5

d)

6

13.

Refer to the following sets: U = {0,1,2,3,4,5,6,7} , A= { 1,3,5,7}, B ={ 0,2,4,6}, C= {0,1,2,3,4}.


What is A ꓴ C ?

a)

{0,1,2,3,4,5,7}

b)

{0,2,4}

c)

{1,3}

d)

14.

Refer to the following sets: U = {0,1,2,3,4,5,6,7} , A= { 1,3,5,7}, B ={ 0,2,4,6}, C= {0,1,2,3,4}.


What is A ꓵ B ?

a)

{0,2,3,4,5,6,7}

b)

{2,4,6}

c)

{0}

d)

15.

Refer to the following sets: U = {0,1,2,3,4,5,6,7} , A= { 1,3,5,7}, B ={ 0,2,4,6}, C= {0,1,2,3,4}.


What is C’ ?

a)

{5,6,7}

b)

{0,1,3,5}

c)

{ 0,1,2,3,4}

d)

16.

Refer to the following sets: U = {0,1,2,3,4,5,6,7} , A= { 1,3,5,7}, B ={ 0,2,4,6}, C= {0,1,2,3,4}.


What is B’ ?

a)

{5,6,7}

b)

{1,3,5,7}

c)

{0,1,2,3,4}

d)

17.

Which of the following when multiplied gives a positive product?

a)

(3) (3)(-3)

b)

(-3) (-3) (-3) (3)

c)

(-3) (-3) (-3) (-3)

d)

(-3) (-3) (-3)

18.

What will you multiply to -3 to get 1?

a)

3

b)

1

c)

13\frac{1}{3}

d)

13-\frac{1}{3}

19.

What will you add to 3 to get -12?

a)

-15

b)

-9

c)

9

d)

15

20.

What is the result of 3 + (−2) + 4 + 6 + (−9)?

a)

-2

b)

-1

c)

1

d)

2

21.

How far is |−10| from zero?

a)

-8

b)

-10

c)

10

d)

20

22.

What is the absolute value of - 4?

a)

-4

b)

0

c)

4

d)

|5|

23.

Given the situation: “Vergie takes 9 steps up the stairs of the Mandaue City Comprehensive National High School and then steps down 3 steps to a landing area.” Which expression represents the number of

steps Nick has taken?

a)

|9| + |−3|

b)

|−9| + |3|

c)

|9| + |3|

d)

|−9| + |−3|

24.

What is the simplified form of |4 − 5|?

a)

-9

b)

-1

c)

1

d)

9

25.

What is the difference when –13 is subtracted from 45?

a)

32

b)

58

c)

-58

d)

-32

26.

What is the quotient when 60 is divided by -15?

a)

4

b)

6

c)

-4

d)

-3

27.

Using distributive property of real numbers, what expression makes the statement 7 (6 + 8) = _____ TRUE?

a)

6 (7) + 8(7)

b)

(6 + 8) + (7)

c)

(6 + 8) (7)

d)

7 (6) + 7(8 )

28.

What property of real numbers is illustrated in the equation: (7) (– 3) = (– 3) (7)?

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Closure Property

29.

Which of the following illustrates Associative Property?

a)

2 + 3 = 5

b)

2 + 3 = 3 + 2

c)

(2 + 3)+8 = 2 + (3+8)

d)

2 + 3+8 = 2 + 3+8

30.

What property of real numbers is illustrated in the expression 5 (6) = 30?

a)

Associative

b)

Closure

c)

Commutative

d)

Distributive