Free Printable (8) 5-2

1.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

2.

What type of number is π ?

a)

Rational

b)

Irrational

3.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

4.

Which statement is true?

a)

The number ⅚ is irrational

b)

The number 0.345345345 is irrational

c)

The number (4π/16π) is irrational

d)

The number (√11)² is rational

5.

Which number is rational below?

a)

√20

b)

√64

c)

6π

d)

√7

6.

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

7.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

8.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

9.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

10.

√4

a)

irrational

b)

rational

11.

4π

a)

rational

b)

irrational

12.

√7

a)

Rational

b)

Irrational

c)

real

d)

fake

13.

-17.5

a)

Rational

b)

Irrational

c)

real

d)

fake

14.

.141414141414...

a)

Rational

b)

Irrational

c)

real

d)

fake

15.

Approximate the following irrational number to the nearest hundredth without using a calculator.
The square root of 32

a)

5.33

b)

4.5

c)

8

d)

5.66

16.

What does this number belong to:
a terminating decimal

a)

Rational Number

b)

Irrational Number

17.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

18.

169

a)

Is a perfect square.

b)

Is not a perfect square.

19.

A perfect square is which type of number?

a)

Rational

b)

Irrational

20.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

21.

5/2

a)

Rational

b)

Irrational

22.

4.032

a)

Rational

b)

Irrational

23.

√31

a)

Rational

b)

Irrational

24.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

25.

Which number is rational?

a)

∛51

b)

√94

c)

∛12

d)

√64

26.

Pi

a)

Rational

b)

Irrational

27.

7.94 x 10⁶

a)

Rational

b)

Irrational

28.

Which number is irrational?

a)

0.416

b)

-8/5

c)

∛64

d)

√27

29.

√81

a)

Rational

b)

Irrational

30.

-13

a)

Rational

b)

Irrational

31.

Which of the following is an irrational number?

a)

0.333

b)

$\sqrt{8}$

c)

$\sqrt{49}$

d)

$\frac{5}{22}$

32.

Identify the rational numbers.

a)

$\sqrt{4}$

b)

$\pi$

c)

$3.5$

d)

$\sqrt{2}$

e)

$\frac{2}{3}$

33.

A rational number can be written as a fraction.

a)

true

b)

false

34.

A terminating decimal is a decimal that...

a)

never ends.

b)

repeats numbers in a pattern.

c)

ends.

d)

never ends and never repeats.

35.

All whole numbers are rational numbers.

a)

True

b)

False

36.

0.181818181818181818......is

a)

Rational

b)

Irrational

c)

Terminating Decimal

d)

Repeating Decimal

37.

Is 3.74 a rational number?

a)

yes

b)

no

38.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

39.

The square root of 2 is an irrational number because...

a)

all square roots are irrational

b)

the answer is a decimal that never stops and never repeats

c)

two is an even number

d)

the decimal never repeats

e)

the decimal never stops

40.

Which expressions represent irrational numbers?

a)

$\sqrt{50}$

b)

$\left(\sqrt{36}\right)\ \left(\frac{1}{2}\right)^4$

c)

$\left(\sqrt{169}\right)+\left(\sqrt{16}\right)$

d)

$\left(\sqrt{225}\right)^3$

e)

$\left(4\right)\ \left(\sqrt{0.25}\right)^2$

41.

Determine if the $\sqrt{324}$ is rational or irrational.

a)

Rational

b)

Irrational

42.

Which of the following is an irrational number?

a)

$\sqrt{0}$

b)

$\sqrt{3}$

c)

$1\overline{.36}$

d)

$-0.19$

43.

True or false?
1.7 > √4

a)

True

b)

False

44.

True or False?
¼ < ½

a)

True

b)

False

45.

Round √2 to the nearest hundredth.

a)

1.4142

b)

1.41

c)

1.42

46.

Round √5 to the nearest hundredth.

a)

2.24

b)

2.23

c)

2.2360

47.

Which number is irrational?

a)

5.499

b)

$\sqrt{17}$

c)

- $\sqrt{9}$

d)

-10

48.

Which point best represents $\sqrt{10}$ on a number line?

a)

point A

b)

point B

c)

point C

d)

point D

49.

Between which two numbers does $\sqrt{11}$ lie on a number line?

a)

4 and 5

b)

5 and 6

c)

10 and 11

d)

3 and 4

50.

Which best represents the position of $\sqrt{8}$ on the number line below?

a)

Point P

b)

Point Q

c)

Point R

d)

Point S

51.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

52.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

$\pi$

d)

$\frac{10}{2}$

e)

$\sqrt{10}$

53.

Select ALL numbers that are rational.

a)

55

b)

$\sqrt{289}$

c)

$\sqrt{6}$

d)

$\pi$

e)

$6\frac{7}{9}$

54.

A rational number can be written as a fraction.

a)

true

b)

false

55.

Perfect Squares are irrational

a)

True

b)

False

56.

What kind of number is -3?

a)

rational

b)

irrational

c)

whole

d)

natural

57.

What kind of number is π ?

a)

rational

b)

irrational

c)

whole

d)

integer

58.

Is 3.74 a rational number?

a)

yes

b)

no

59.

Is -5/8 a rational number?

a)

yes

b)

no

60.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

61.

The square root of 2 is an irrational number because...

a)

All square roots are irrational

b)

The answer is a decimal that never stops

c)

Two is an even number

d)

The answer is 1

62.

Pi

a)

Rational

b)

Irrational

63.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

64.

-17.5

a)

Rational

b)

Irrational

65.

4.032

a)

Rational

b)

Irrational

66.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

67.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

68.

$\frac{18}{3}$

a)

Rational

b)

Irrational

69.

$\frac{7}{13}$

a)

Rational

b)

Irrational

70.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

71.

what is the square root of 100?

a)

17

b)

8

c)

10

d)

19

72.

the square root of 340 is between...

a)

4 and 5

b)

12 and 13

c)

36 and 37

d)

18 and 19

73.

what is the square root of 289

a)

17

b)

0.6

c)

15

d)

25

74.

what is the square root of 225?

a)

15

b)

81

c)

25

d)

121

75.

the square root of -90 falls between..

a)

7 and 8

b)

9 and 10

c)

-9 and -10

d)

-7 and -8

76.

what is the square root of 30

a)

70

b)

900

c)

1200

d)

500

77.

what is the estimated square root of 55

a)

11 and 12

b)

2 and 3

c)

7 and 8

d)

10 and 11

78.

What is the square root of 144?

a)

4

b)

12

c)

16

d)

32

79.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

80.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

81.

65

a)

Is a perfect square.

b)

Is not a perfect square.

82.

169

a)

Is a perfect square.

b)

Is not a perfect square.

83.

If a square has a side length of 5 cm, what would the area be?

a)

55 cm²

b)

50 cm²

c)

25 cm²

d)

20 cm²

84.

What would be the side length if you used 49 tiles to create a perfect square?

a)

7 tiles

b)

14 tiles

c)

4 tiles wide and 9 tiles long

d)

3.5 tiles

85.

What is the square root of -144?

a)

+ 12

b)

12

c)

-12

d)

not real

86.

Which is a perfect square?

a)

50

b)

32

c)

8

d)

200

e)

256

87.

-√400

a)

200

b)

-200

c)

-20

d)

20

e)

not real

88.

Which is a perfect square?

a)

√100

b)

33−2(4)

c)

36−4÷2

d)

2³−3²

89.

Select the square root that would be represent point A.

a)

√36

b)

√300

c)

√62

d)

√115

90.

Mr. Mason was hired to tile a square-shaped bathroom. Mr. Mason is laying 676 square feet of tile. What is the length of the bathroom?

a)

676 ft

b)

338 ft

c)

169 ft

d)

26 ft

91.

Which is a perfect square?

a)

(27 + (−3)²) ÷ √81

b)

√400

c)

25 + (−12) ÷ 3

d)

5³ + 1

92.

+√1

a)

+½

b)

-½

c)

-1

d)

+1

e)

not real

93.

How do you find the area of a square?

a)

Length + Width

b)

(Side) * 4

c)

(Side) * (Side)

d)

Width * 2

94.

How do you find the area of a square?

a)

(Side) * 2

b)

(Side) + (Side)

c)

Length + Width

d)

(Side)²

95.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

96.

What is the area of a square with a side of 12?

a)

144

b)

24

c)

48

d)

6

97.

What is the area of a square with a side of 3.8?

a)

7.6

b)

38

c)

15.2

d)

14.44

98.

What is the perimeter of a square with a side of 3?

a)

9

b)

12

c)

6

d)

24

99.

Which of these areas is a perfect square?

a)

12

b)

90

c)

40

d)

64

100.

Which of these areas is a perfect square?

a)

4

b)

15

c)

99

d)

18

101.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

102.

What is the side length of a square that has an area of 36?

a)

9

b)

18

c)

6

d)

1296

103.

What is the side length of a square that has an area of 121?

a)

11

b)

60.5

c)

30.25

d)

14641

104.

What is the side length of a square that has an area of 40?

a)

20

b)

10

c)

1600

d)

6.3

105.

What is the perimeter of a square that has an area of 81?

a)

9

b)

36

c)

18

d)

81

106.

How much paint would be required to paint a square wall that has a height of 10 feet?

a)

20 sq. ft.

b)

40 sq. ft.

c)

3.2 sq. ft.

d)

100 sq. ft.

107.

A square field has 3,844 sq. meters of land. What is the width of the field?

a)

480.5 meters

b)

62 meters

c)

248 meters

d)

961 meters

(8) 5-2

Total questions: 107

Worksheet time: 2hrs 28mins

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