Free Printable Module 2 Quiz Review

1.

Perfect Square? 120

a)

Yes

b)

No

2.

Perfect Square? 144

a)

Yes

b)

No

3.

Perfect Square? 160

a)

Yes

b)

No

4.

Perfect Square? 196

a)

Yes

b)

No

5.

Perfect Square? 250

a)

Yes

b)

No

6.

Perfect Square??? 300

a)

Yes

b)

No

7.

Perfect Square? 324

a)

Yes

b)

No

8.

Perfect Square? 484

a)

Yes

b)

No

9.

$9^2=18$ True or false?

a)

True

b)

False

10.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

11.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

12.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

13.

Determine which is perfect square?

a)

54

b)

36

c)

21

d)

43

14.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

15.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

16.

∛216

a)

6

b)

72

c)

108

d)

4

17.

Mrs. Hiltz and Ms. Weber decide to host a lemonade stand. The square table they use has side lengths of 5 feet. What is the area of their table?

a)

25 feet

b)

25 square inches

c)

5 ft²

d)

25 square feet

18.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

19.

Mr. Woodside is building a garden outside of Walker-Grant Middle School. He has enough fertilizer to cover 121 square feet. If Mr. Woodside wants to make a square garden, what should the length of each side be?

a)

12ft

b)

121ft

c)

11ft

d)

13ft

20.

Identify each value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

21.

Identify each value that is a perfect cube:

a)

300

b)

72

c)

525

d)

216

22.

Find the cube root of 729:

a)

9

b)

81

c)

243

23.

Find the cube root of 125:

a)

41.67

b)

25

c)

5

24.

Find the cube root of -1,331:

a)

-121

b)

-11

c)

-443.67

25.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

26.

What is 5 cubed?

5³

a)

125

b)

25

c)

15

d)

625

27.

What is 36 cubed?

36³

a)

46,656

b)

108

c)

1,296

d)

12

28.

The number 512 is a perfect cube because 512 = 8³.

Which number below is also a perfect cube?

a)

125

b)

300

c)

150

d)

256

29.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

30.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

31.

∛8

a)

2

b)

4

c)

1

d)

64

32.

∛125

a)

5

b)

4

c)

6

d)

7

33.

∛1000

a)

10

b)

9

c)

8

d)

11

34.

A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?

a)

32 units

b)

16 units

c)

8 units

d)

4 units

35.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

36.

$3_{\sqrt{-1}}$ (cube root of -1)

a)

$\pm1$

b)

1

c)

-1

d)

none of the above (imaginary number)

37.

27 is a perfect cube

a)

true

b)

false

38.

The inverse operation for SQUARING a number is finding the CUBE root?

a)

true

b)

false

39.

100 is a ____________

a)

Perfect Square

b)

Perfect Cube

c)

Both

d)

Neither

40.

Cubing a number means multiplying a number by itself 3 times.

a)

True

b)

False

41.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

42.

What is the cube root of 1000?

a)

10

b)

100

c)

500

d)

20

43.

What is the cube root of 27?

a)

9

b)

3

c)

-3

d)

-9

44.

√121

a)

10

b)

11

c)

12

d)

13

45.

√144

a)

10

b)

11

c)

12

d)

13

46.

Is 225 a perfect square?

a)

Yes

b)

No

47.

The square root of 256 is...

a)

15

b)

18

c)

13

d)

16

48.

Select ALL the square roots of 16

a)

4

b)

-4

c)

8

d)

-8

e)

No real roots

49.

Select ALL the square roots of 64

a)

4

b)

-4

c)

8

d)

-8

e)

No real roots

50.

Select ALL of the cube roots of 216.

a)

6

b)

-6

c)

72

d)

-72

e)

No real roots

51.

Select ALL of the cube roots of 512.

a)

6

b)

-6

c)

8

d)

-8

e)

No real roots

52.

Convert $\frac{2}{5}$ to a decimal

a)

0.5

b)

0.2

c)

0.4

d)

0.10

53.

Convert $\frac{12}{100}$ to a decimal

a)

0.12

b)

0.25

c)

0.4

d)

0.10

54.

Convert 0.25 to a fraction in simplest form.

a)

$\frac{1}{4}$

b)

$\frac{25}{100}$

c)

$\frac{5}{20}$

d)

$\frac{2}{5}$

55.

Convert to a $-\frac{11}{20}$ decimal.

a)

0.55

b)

$-1.\overline{81}$

c)

-0.112

d)

-0.55

56.

Convert $-4\frac{8}{25}$ to a decimal.

When there is a whole number before a fraction, it goes before the decimal.

a)

-4.32

b)

-4.8

c)

4.32

d)

-4.825

57.

Convert $3\frac{2}{5}$ to a decimal.

a)

3.4

b)

3.25

c)

3.2

d)

3.04

58.

Convert $\frac{9}{20}$ to a decimal.

a)

0.36

b)

0.92

c)

9.20

d)

0.45

59.

Convert $\frac{4}{25}$ to a decimal.

a)

0.20

b)

0.16

c)

4.25

d)

0.25

60.

What fraction is equivalent to 1.9?

a)

1 $\frac{9}{10}$

b)

$\frac{19}{1}$

c)

$\frac{19}{100}$

61.

What decimal is equivalent to $\frac{1}{8}$ ?

a)

.12

b)

1.8

c)

.125

d)

8.1

62.

Convert $\frac{2}{8}$ to a decimal

a)

0.5

b)

0.25

c)

0.4

d)

0.10

63.

Convert $\frac{1}{3}$ to a decimal.

a)

0.3

b)

0.333...

c)

0.2

d)

0.35

64.

Convert $\frac{2}{5}$ to a decimal.

(a)

65.

Convert $\frac{1}{4}$ to a decimal.

(a)

66.

Convert $\frac{1}{2}$ to a decimal.

(a)

67.

Convert $\frac{3}{4}$ to a decimal.

(a)

68.

Convert $\frac{1}{8}$ to a decimal.

(a)

69.

Convert $\frac{3}{5}$ to a decimal.

(a)

70.

Convert $\frac{1}{6}$ to a decimal.

a)

0.16

b)

0.16666...

c)

0.15

d)

0.222...

71.

Convert $\frac{7}{20}$ to a decimal.

(a)

72.

Convert $\frac{4}{25}$ to a decimal.

(a)

73.

Convert 16.5 into a fraction

a)

16 &1/2

b)

16 & 3/5

c)

16 &1/4

d)

16 & 3/8

74.

What fraction is equivalent to .7?

a)

7/1

b)

7/100

c)

7/10

d)

7

75.

What fractions are equivalent to .05?

a)

5/10

b)

5/100

c)

1/20

d)

5/1

76.

What fraction is equivalent to .001?

a)

$\frac{1}{100}$

b)

$\frac{1}{1000}$

c)

$\frac{1000}{1}$

d)

$\frac{100}{1}$

77.

Write 5 tenths as a fraction.

a)

10/5

b)

5/10

c)

5.10

d)

10.5

78.

Which lists the places in the correct order?

a)

tens ones . tenths hundredths

b)

hundredths tenths . tens ones

c)

ones . tens tenths hundredths

d)

tenths hundredths . ones tens

79.

What is 0.04 written as a fraction?

a)

40/100

b)

4 10/100

c)

4/100

d)

4/10

80.

If the decimal has a pattern and goes on forever it is called....

a)

terminating

b)

repeating

c)

infinity

d)

ending

81.

If the decimal ends it is called...

a)

terminating

b)

repeating

c)

infinity

d)

stopped

82.

0.444444444... is a repeating decimal.

a)

True

b)

False

83.

0.35 is a repeating decimal

a)

True

b)

False

84.

Terminating or repeating?

a)

terminating

b)

repeating

85.

a)

Repeating Decimal

b)

Terminating Decimal

86.

What is the following decimal using bar notation

0.232323232323....

a)

0.23

b)

$0.\overline{23}$

c)

$0.\overline{2323}$

d)

$0.2\overline{3}$

87.

Which decimal below shows the equivalent decimal?

a)

1.194619461946...

b)

1.19464646464646464646...

c)

1.194666666666...

d)

1.124611111111...

88.

0.444444444...

write using bar notation

a)

$0.\overline{4}$

b)

$0.\overline{4444}$

c)

4

d)

$\overline{4}$

89.

How do you change a fraction into a decimal?

a)

multiply

b)

divide

90.

Represent this fraction $\frac{6}{7}$ in 2 ways.

(select two correct answers)

a)

$7\ \div\ 6$

b)

$6\ \div\ 7$

c)

d)

91.

How do you write 5 divided by 3 as a fraction?

a)

5/3

b)

3/5

92.

WHICH OF THE FOLLOWING REPRESENTS $\frac{4}{5}$ ? Choose 2 correct answers.

a)

$4\div5$

b)

$5\div4$

c)

$5\lceil4$

d)

$4\lceil5$

93.

How do you write $\frac{3}{5}$ as a division problem?

a)

b)

94.

0.33333 is considered a ________ decimal

a)

repeating

b)

terminating

95.

A ______ decimal has a finite number of digits, meaning that after a so many places, the decimal ends.

a)

non-terminating

b)

terminating

c)

repeating

96.

A ______ decimal is a decimal in which a digit, or a group of digits, repeat(s) infinitely

a)

non-terminating

b)

terminating

c)

repeating

97.

Which of the following is a repeating decimal?

a)

2.451836248702165064513549452

b)

7.1245454545454545454545454545

c)

8.125

d)

12.55

98.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

99.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

100.

Convert 1.5555... to a fraction.

a)

14/9

b)

15/10

c)

3/2

d)

1.5/9

101.

Convert 0.769769769... to a fraction.

a)

769/999

b)

769/1000

c)

769/100

d)

769/99

102.

Convert 0.5282828... to a fraction.

a)

523/999

b)

5.28/99

c)

4/75

d)

523/990

103.

Convert the following decimal into a fraction.

0.8\overline{3}

a)

5/6

b)

7/8

c)

9/11

d)

12/14

104.

Solve the following. Select TWO correct answers.

$x^2=196$

a)

13

b)

-13

c)

14

d)

-14

105.

Solve the following.

$x^3=512$

a)

8

b)

-8

c)

6

d)

7

106.

Solve the following.

$x^2=\frac{36}{49}$

a)

$\pm7.5$

b)

$\frac{6}{7}$

c)

$\pm\frac{6}{7}$

d)

$\frac{2}{3}$

107.

Solve the following.

$x^2=\frac{25}{16}$

a)

$\pm\frac{5}{4}$

b)

$\frac{5}{4}$

c)

$\pm\frac{4}{5}$

d)

$\frac{4}{5}$

108.

Solve the following.

$x^3=27$

a)

3

b)

-3

c)

9

d)

-9

109.

Cam created a cube that has a volume of 343 cubic centimeters. What is the edge length of each side of the cube?

(a)

110.

Tamea has a cube shaped box that measures 5 inches along each side. Can she fit 100 square inch cubes inside that box?

a)

yes

b)

no

111.

Why do equations with x² have two solutions?

a)

Because the exponent is 2.

b)

They don't. There is only 1 correct solution.

c)

Because when you square a negative number the solution is positive, just like when you square a positive number.

d)

because you have to think about absolute value.

112.

What is the volume of a cube with a side length of 4 inches?

a)

16 cubic inches

b)

64 cubic inches

c)

32 cubic inches

d)

48 cubic inches

113.

Solve the following.

$x^2=81$

a)

$\pm9$

b)

$9$

c)

$\pm8$

d)

$8$

114.

Solve the following.

$x^3=125$

a)

5

b)

-5

c)

10

d)

-10

115.

Solve the following.

$x^2=\frac{49}{64}$

a)

$\pm\frac{7}{8}$

b)

$\frac{7}{8}$

c)

$\pm\frac{8}{7}$

d)

$\frac{8}{7}$

116.

Solve the following.

$x^3=343$

a)

7

b)

-7

c)

6

d)

-6

117.

What is the volume of a cube with a side length of 6 inches?

a)

36 cubic inches

b)

216 cubic inches

c)

72 cubic inches

d)

144 cubic inches

118.

$8^{3\ }=$

(a)

119.

$9^3=$

(a)

120.

$15^2=$

(a)

121.

What is a rational number?

a)

A number that cannot be written as a fraction.

b)

A number that cannot be written as a repeating decimal.

c)

A number that can be written as a fraction.

122.

Irrational numbers...

a)

cannot be written as a fraction.

b)

can be a repeating decimal.

c)

can be written as a fraction.

123.

$0.\overline{1}$

a)

Rational

b)

Irrational

124.

$\frac{6}{11}$

a)

Rational

b)

Irrational

125.

$\sqrt[]{3}$

a)

Rational

b)

Irrational

126.

$-66.\overline{33}$

a)

Rational

b)

Irrational

127.

$\pi$

a)

Rational

b)

Irrational

128.

$0.625$

a)

Rational

b)

Irrational

129.

$-0.010010001...$

a)

Rational

b)

Irrational

130.

$\sqrt[]{\frac{2}{3}}$

a)

Rational

b)

Irrational

131.

$\sqrt[]{49}$

a)

Rational

b)

Irrational

132.

$-5$

a)

Rational

b)

Irrational

133.

$-1.2$

a)

Rational

b)

Irrational

134.

$\sqrt[]{1.6}$

a)

Rational

b)

Irrational

135.

$-0.454545...$

a)

Rational

b)

Irrational

136.

Is the number rational or irrational?

a)

Rational -

b)

Irrational

137.

Is the number rational or irrational?

a)

Rational

b)

Irrational

138.

Is the number rational or irrational?

a)

Rational

b)

Irrational

139.

Is the number rational or irrational?

a)

Rational

b)

Irrational

140.

Is the number rational or irrational?

a)

Rational

b)

Irrational

141.

Is the number rational or irrational?

a)

Rational

b)

Irrational

142.

Is the number rational or irrational?

a)

Rational

b)

Irrational

143.

Is the number rational or irrational?

a)

Rational

b)

Irrational

144.

Is the number rational or irrational?

a)

Rational

b)

Irrational

145.

Is the number rational or irrational?

a)

Rational

b)

Irrational

146.

Classify this number: 6.7

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

147.

Classify this number: -12

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

148.

-4 is not a whole number because:

a)

It's negative and whole numbers are positive.

b)

it's irrational.

c)

it cannot be turned into a fraction.

d)

it is even.

149.

A rational number:

a)

can be turned into a fraction.

b)

is only positive.

c)

can't have a decimal.

d)

is not a real number.

150.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

151.

Which number is an irrational number?

a)

2.5

b)

5.72314.....

c)

-17

d)

1/2

152.

Which word does NOT describe 5?

a)

Whole

b)

Integer

c)

Rational

d)

Irrational

153.

Natural numbers are

a)

values less than zero

b)

..., -3, -2, -1, 0, 1, 2, 3

c)

1, 2, 3, 4,...

d)

0, 1, 2, 3, 4, ....

154.

Whole numbers are

a)

values greater than zero

b)

0, 1, 2, 3, 4...

c)

1, 2, 3, 4, ....

d)

..., -2,-1, 0, 1, 2, ...

155.

Integers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

1, 2, 3, ...

156.

Rational numbers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

numbers that can't be expressed as terminating or repeating decimals or fractions

157.

Irrational numbers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

numbers that can't be expressed as terminating or repeating decimals or fractions

158.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

159.

Classify the number (choose all that apply): $\frac{3}{4}$

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

160.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

161.

Classify the number (choose all that apply): $\sqrt{12}$

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

162.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

163.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

164.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

165.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Natural Number

c)

Integer

d)

Whole Number

166.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

167.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

168.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

169.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

170.

Choose the best, most specific classification.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

171.

Classify the number by checking all that apply!

-6.75

(Hint: every number shown is a REAL number!)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

172.

Classify the numbers by checking all that apply!

$\sqrt{175}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

173.

Classify the number by checking all that apply!

$5\pi$
(Anything with $\pi$ is irrational)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

174.

Classify the number by checking all that apply!

$\frac{30}{3}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

175.

Classify the number by checking all that apply!

$-\sqrt{9}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

176.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

177.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

a)

Yes, because the decimal is repeating.

b)

No, because it is an integer.

c)

No, because a pattern is not a repeating decimal.

178.

Which could be the value of D?

a)

-10

b)

0

c)

$\frac{3}{4}$

d)

2.5

179.

Which could NOT be the value of B?

a)

5

b)

$\frac{1}{2}$

c)

-12.5

d)

$\sqrt{32}$

180.

Which example could be represented by A?

a)

-2.555555...

b)

3.14

c)

$\pi$

d)

$\frac{3}{4}$

Module 2 Quiz Review

Total questions: 180

Worksheet time: 3hrs 4mins

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