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Worksheets

Ch 03 Test Review

Total questions: 141

Worksheet time: 8hrs 44mins

Name
Class
Date
1.
√ 16 
a)
8
b)
3
c)
4
d)
6
2.
What is the square root of 25?
a)
5
b)
12
c)
3
d)
6
3.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
4.
11=
a)
22
b)
44
c)
144
d)
121
5.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
6.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
7.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
8.
196
a)
Is a perfect square.
b)
Is not a perfect square.
9.
125
a)
Is a perfect square.
b)
Is not a perfect square.
10.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
11.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
12.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
13.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
14.
x² = 121
What does x equal?
a)
11²
b)
11 and -11
c)
20 and 11
d)
12 and 1
15.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

16.

 144\sqrt{144}  

a)

12

b)

288

c)

14

d)

17

17.

 1\sqrt{1}  

a)

1

b)

4

c)

100

d)

0.5

18.

 4\sqrt{4}  

a)

1

b)

2

c)

16

d)

8

19.

 9\sqrt{9}  

a)

3

b)

18

c)

4.5

d)

5

20.

 16\sqrt{16}  

a)

4

b)

8

c)

32

d)

6

21.

 25\sqrt{25}  

a)

5

b)

12

c)

50

d)

7

22.

 36\sqrt{36}  

a)

6

b)

12

c)

9

d)

4

23.

 49\sqrt{49}  

a)

7

b)

8

c)

9

d)

14

24.

 64\sqrt{64}  

a)

8

b)

16

c)

4

d)

9

25.

 81\sqrt{81}  

a)

9

b)

11

c)

8

d)

18

26.

 100\sqrt{100}  

a)

10

b)

1

c)

50

d)

20

27.

 121\sqrt{121}  

a)

11

b)

18

c)

12

d)

19

28.

 169\sqrt{169}  

a)

13

b)

16

c)

19

d)

11

29.

 196\sqrt{196}  

a)

14

b)

18

c)

13

d)

16

30.

 225\sqrt{225}  

a)

15

b)

25

c)

5

d)

122

31.

 256\sqrt{256}  

a)

16

b)

14

c)

18

d)

13

32.

 289\sqrt{289}  

a)

17

b)

18

c)

14

d)

144

33.

 324\sqrt{324}  

a)

18

b)

16

c)

17

d)

162

34.

 361\sqrt{361}  

a)

19

b)

18

c)

17

d)

15

35.

 400\sqrt{400}  

a)

20

b)

10

c)

100

d)

25

36.

Level 1: Between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

37.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

38.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

39.

Level 3: Estimate the square root.

a)

Between 7 and 8 and closer to 8

b)

Between 8 and 9 and closer to 9

c)

Between 9 and 10 and closer to 9

d)

Between 9 and 19 and closer to 10

40.

Level 3: Estimate the square root.

a)

Between 1 and 2 and closer to 1

b)

Between 1 and 2 and closer to 2

c)

Between 2 and 3 and closer to 2

d)

Between 2 and 3 and closer to 3

41.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
42.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
43.
The square root of 99 falls between which two consecutive whole numbers?
a)
7 and 8
b)
8 and 9
c)
10 and 11
d)
9 and 10
44.

Between which two whole numbers does the √32 fall?

a)

4 and 5

b)

5 and 6

c)

6 and 7

d)

7 and 8

45.

Between which two square roots does the √51 fall?

a)

√16 and √25

b)

√25 and √36

c)

√36 and √49

d)

√49 and √64

46.

Between what two whole numbers does the √449 fall?

a)

19 and 20

b)

20 and 21

c)

21 and 22

d)

22 and 23

47.

Between which two square roots does the √43 fall?

a)

√36 and √49

b)

√40 and √49

c)

√25 and √49

d)

√42 and √44

48.

Identify the letter that best estimates the following square root on the following number line.

√156

a)

d

b)

b

c)

c

d)

e

49.

Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

50.

Order from least to greatest.

a)

√45, 9, 6, √63

b)

6, √45, √63, 9

c)

6, √45, 9, √63

d)

√45, √63, 6, 9

51.
Between which two whole numbers is the 
√20 ?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
52.

Between which two square roots does the √51 fall?

a)

√16 and √25

b)

√25 and √36

c)

√36 and √49

d)

√49 and √64

53.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
54.

Round to the Nearest Tenth: √119

a)

10.9

b)

10.7

c)

11.1

d)

19

55.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

56.

 11\sqrt{11}  

a)

9.2

b)

5

c)

11.4

d)

3.2

57.

√48

a)

7.1

b)

6.9

c)

24

d)

6.3

58.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
59.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
60.
How many students took the survey?
a)
32
b)
47
c)
53
d)
56
61.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
62.

How many people ate pepperoni pizza for lunch?

a)

15

b)

21

c)

6

d)

12

63.

How many people ate pizza for lunch?

a)

21

b)

6

c)

27

d)

33

64.

The venn diagram shows which sports are played by a class of students.

How many students are in the class?

a)

20

b)

25

c)

30

d)

35

65.

The venn diagram shows which sports are played by a class of students.

How many students are taking tennis?

a)

6

b)

11

c)

25

d)

30

66.

The venn diagram shows which sports are played by a class of students.

How many students are taking soccer?

a)

5

b)

9

c)

14

d)

16

67.

A never ending decimal that doesn't repeat in a pattern is which type of number?

a)

Rational

b)

Irrational

c)

None of these

68.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
c)
None of these
69.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
c)
None of these
70.

Which answer includes ALL of the classifications of the following number:

0

a)

Rational, Integer

b)

Rational

c)

Rational, Integer, Whole

d)

Rational, Integer, Whole, Natural

71.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a natural number
c)
Every integer is a whole number
d)
Every whole number is a rational number
72.
Which word does NOT describe 5?
a)
Whole
b)
Integer
c)
Rational
d)
Irrational
73.
Which of the following is irrational?
a)
Square root of 81
b)
Square root of 9
c)
Square root of 144
d)
Square root of 12
74.
Which statement is FALSE?
a)
Every rational number is a real number.
b)
Every decimal number is an irrational number.
c)
Every integer is a rational number.
75.
Explain the error(s).
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
76.
Which of the following best defines rational numbers?
a)
numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern
b)
numbers that make sense
c)
numbers that go on forever and ever with out a repeating pattern
d)
numbers cannot be written as a fraction
77.

Which of the following best defines irrational numbers?

a)

numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern

b)

numbers that make sense

c)

numbers that go on forever and ever without a repeating pattern and cannot be written as a fraction

d)

fractions

78.
Classify the following number:
1.01011011101111....
a)
Rational
b)
Irrational
c)
None of these
79.

0.4444... written as a fraction is which of the following?

a)

4/10

b)

4/9

c)

44/100

d)

4444/10000

80.

To make a whole number into a fraction put it over

a)

10

b)

0

c)

1

d)

100

81.

Which of the following best describes an imaginary number?

a)

A fraction

b)

The square root of any number

c)

The square root of a positive number

d)

The square root of a negative number

82.
Classify the number 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
83.
Classify the number 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
84.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
85.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
86.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
87.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
88.
Classify the following:
 -78
a)
integer
b)
integer, real
c)
integer, whole, rational
d)
integer, rational, real
89.
How would 5/9 be classified?
a)
rational and real
b)
whole and integer
c)
only real
d)
only irrational
90.
Explain the error(s).
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
91.
What type of number is  ⅛
a)
whole 
b)
rational
c)
irrational
d)
integers
92.

Which side of a right triangle has the longest length?

a)

Leg 1

b)

Leg 2

c)

Hypotenuse

d)

Right Angle

93.

Which 3 lengths would in fact make a right triangle?

a)

4, 3, 5

b)

4, 3, 7

c)

8, 5, 6

94.

True or False: The 13, 12 and 5 units make a right triangle.

a)

True

b)

False

95.

Determine if 51, 24, 45 would make a right triangle.

a)

No

b)

Yes

96.

What do we call the side across from the right angle?

a)

Leg

b)

a

c)

Hypotenuse

d)

Obtuse

97.

What is always true about the hypotenuse?

a)

Is the shortest side of the triangle.

b)

Is the height of the triangle.

c)

Is labeled as b.

d)

Is the longest side of the triangle.

98.

Which is the formula used for the Pythagorean Theorem?

a)

a2+b2+c2

b)

a+b=c

c)

a2+c2=b2

d)

a2+b2=c2

99.

If the side lengths of a right triangle are 7, 25, and 24, which side is the hypotenuse?

a)

7

b)

25

c)

24

d)

none of the these

100.

If the sides of a right triangle are 40, 50, and 30, which sides are the legs?

a)

40 and 50

b)

50 and 30

c)

40 and 30

d)

30, 40, and 50

101.

a=3, b=4, and c=5

Is this a right triangle?

a)

yes

b)

no

102.

a=6, b=8, and c=10

Is this a right triangle?

a)

yes

b)

no

103.

a=3, b=6, and c=9

Is this a right triangle?

a)

yes

b)

no

104.

Which side lengths would form a right triangle?

a)

3, 5, 6

b)

2, 8, 10

c)

3, 4, 5

d)

7, 12, 15

105.

Which side lengths will form a right triangle?

a)

7, 12, 18

b)

6,10, 8

c)

15, 7, 8

d)

1, 1, 2

106.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
107.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
108.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
109.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
110.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
111.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

112.

Sides a and b are called legs.

a)

true

b)

false

113.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

114.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
115.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
116.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

117.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
118.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
119.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
120.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

a)
b)
c)
d)
121.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
122.

Which is the formula used for the Pythagorean Theorem?

a)

a2+b2+c2

b)

a+b=c

c)

a2+c2=b2

d)

a2+b2=c2

123.

Which side of a right triangle has the longest length?

a)

Leg 1

b)

Leg 2

c)

Hypotenuse

d)

Right Angle

124.

Sides a and b are called legs.

a)

true

b)

false

125.

What do we call the side across from the right angle?

a)

Leg

b)

a

c)

Hypotenuse

d)

Obtuse

126.

What is always true about the hypotenuse?

a)

Is the shortest side of the triangle.

b)

Is the height of the triangle.

c)

Is labeled as b.

d)

Is the longest side of the triangle.

127.

Which Pythagorean Triple does the picture illustrate?

a)

4, 5, 6

b)

2, 3, 4

c)

3, 4, 5

d)

1, 2, 3

128.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
129.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
130.

True or False: The 13, 12 and 5 units make a right triangle.

a)

True

b)

False

131.

Area of A + Area B = Area C

a)

True

b)

False

132.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
133.

Find the value of the unknown side.

a)

13cm

b)

5cm

c)

12cm

d)

15cm

134.

How many people own cats?

a)

3

b)

4

c)

6

d)

7

e)

10

135.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys wrestle, but do not play football?

(a)  

136.

The Venn diagram shows the number of senior boys who play football or wrestle.

How may senior boys do not play football or wrestle?

(a)  

137.

The Venn diagram shows the number of people at the gym signed up for yoga or aerobics class.

How many people are signed up for aerobics?

(a)  

138.

The Venn diagram shows the number of people at the gym signed up for yoga or aerobics class.

How many people are signed up for yoga but not aerobics?

(a)  

139.

The Venn diagram shows the number of sophomores with Facebook, Twitter, and Instagram accounts.

How many students an Instagram or Facebook?

(a)  

140.

The Venn diagram shows the number of sophomores with Facebook, Twitter, and Instagram accounts.

How many students only have an Instagram?

(a)  

141.

The Venn diagram shows the number of sophomores with Facebook, Twitter, and Instagram accounts.

How many students do not have a Facebook?

(a)