Free Printable Real Numbers

1.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

2.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

3.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

4.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

5.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

6.

Which of the following is a perfect square?

a)

24

b)

48

c)

81

d)

110

7.

Round to the Nearest Tenth: √119

a)

10.9

b)

10.5

c)

11.1

d)

10

8.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

9.

Which is the best estimate of the square root of 63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

10.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

11.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10⁵

12.

Describe √2 as rational, irrational, not real, or natural. If a real number, give the approximate value.

a)

Rational, 1.4

b)

Irrational, 1.4142..

c)

Not real

d)

Natural, 1

13.

Which represents a rational number?

a)

√110

b)

√324

c)

√65

d)

√80

14.

If the volume of a cube is 27in³, what is the length of one side of the cube?

a)

3in

b)

9in

c)

2.7in

d)

3cm

15.

If the area of a square is 81cm², what is the side length?

a)

9cm

b)

81cm

c)

3cm

d)

9cm²

16.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

17.

A non-terminating decimal is which type of number?

a)

Rational

b)

Irrational

18.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

19.

Is √2 Irrational?

a)

Yes

b)

No

20.

The square root of 57 is ...

a)

rational

b)

irrational

21.

Given the following radical, decide if it is rational or irrational:
√121

a)

Rational

b)

Irrational

22.

Which of the following contains only rational numbers?

a)

2.5, .764567..., 1/2, √27

b)

π, √4, √16, 7.7

c)

6.7, 4.45, -3,

d)

5, -4.5, √13, √-9

23.

True or False:
15/3 can be simplified to a whole number.

a)

True

b)

False

24.

-0.775 is a

a)

Irrational Number

b)

Whole Number

c)

Integer

d)

Rational Number

25.

$\sqrt{3}$ is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

26.

$\pi\$ and 1.234567890... is considered a...

a)

irrational number

b)

rational number

c)

Natural number

d)

Whole number

27.

All integers are...

a)

Rational numbers

b)

Whole numbers and rational numbers

c)

Irrational numbers

d)

Natural numbers and whole numbers

28.

Which list shows the numbers ordered in ascending order?

75, 78, -79, -31, 16, -40, -53

a)

-31, -40, -53, -79, 16, 75, 78

b)

-79, -53, -40, -31, 16, 75, 78

c)

78, 75, 16, -79, -53, -40, -31

29.

.04, 150%, $\frac{8}{5}$

A list of numbers is given above: Order them from Greatest to Least

a)

.04, 150%, $\frac{8}{5}$

b)

150%, $\frac{8}{5}$ , .04

c)

$\frac{8}{5},\ 150\%,\ .04$

30.

Homework is assigned every _______ and due the next _________.

a)

Friday, Friday

b)

Monday, Friday

c)

Monday, Thursday

31.

Can you make up homework assignments?

a)

No

b)

Yes

c)

It depends

32.

A number can be rational and irrational.

a)

True

b)

False

33.

The number 100 is a perfect square.

a)

True

b)

False

34.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

35.

All numbers are real numbers.

a)

False

b)

True

36.

Which one is not a perfect square?

a)

100

b)

49

c)

117

d)

144

37.

Classify the following number:
1.01011011101111....

a)

Rational

b)

Irrational

38.

Classify the following:
0.478123123123123123....

a)

Rational

b)

Irrational

39.

Which statement is NOT true?

a)

0.121212… is a rational number.

b)

0.34353637 is an irrational number.

c)

8.14 is a rational number.

d)

5.12345… is an irrational number.

40.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

41.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

42.

√ 16

a)

8

b)

3

c)

4

d)

6

43.

What is the square root of 25?

a)

5

b)

12

c)

3

d)

6

44.

What do we call √ ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

45.

17² =

a)

34

b)

289

c)

225

d)

324

46.

11²=

a)

22

b)

44

c)

144

d)

121

47.

What is the Square Root of 289?

a)

17

b)

16

c)

15

d)

18

48.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

49.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

50.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

51.

Between which two whole numbers is the square root of 277?

a)

15 and 16

b)

16 and 17

c)

18 and 19

d)

14 and 15

52.

500

a)

Is a perfect square.

b)

Is not a perfect square.

53.

196

a)

Is a perfect square.

b)

Is not a perfect square.

54.

144

a)

Is a perfect square.

b)

Is not a perfect square.

55.

125

a)

Is a perfect square.

b)

Is not a perfect square.

56.

244

a)

Is a perfect square.

b)

Is not a perfect square.

57.

0

a)

Is a perfect square.

b)

Is not a perfect square.

58.

Estimate the square root.

a)

3

b)

4

c)

5

d)

6

59.

What is the square root of 4?

a)

9

b)

4

c)

2

d)

10

60.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

61.

A rational number can be written as a fraction.

a)

True

b)

False

62.

0.8 is a rational number

a)

True

b)

False

63.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

64.

Which number is an irrational number?

a)

2.5

b)

5.72314.....

c)

-17

d)

1/2

65.

Is the following number rational or irrational? (π / 2)

a)

Rational

b)

Irrational

66.

√121

a)

12

b)

10

c)

11

d)

3

67.

Which number is a rational number?

a)

2.25

b)

-8.78654684598.....

c)

Square root of 99

d)

3.14...

68.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

64

d)

198

69.

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

70.

The following numbers are displayed below.

√81 and 9

Which value is greater?

a)

they are equivalent

b)

√81

c)

9

d)

can't be determined

71.

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

a)

48

b)

81

c)

60

d)

36

72.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

73.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

74.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

75.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

76.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

77.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

78.

What is 2/9 as a decimal?

a)

0.2929292929292929292929292929

b)

0.2

c)

0.22222222222222222222222222222222222

d)

0.29

79.

Which of the following is a repeating decimal?

a)

2.451836248702165064513549452

b)

7.1245454545454545454545454545

c)

8.125

d)

12.55

80.

a)

1 8/9

b)

17/90

c)

17/100

d)

1 18/99

81.

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.

82.

Which set is in descending order?

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

83.

Solve. Select all answers that apply.

x² = 100

a)

10

b)

-10

c)

50

d)

-50

84.

Simplify $-\sqrt{25}$

a)

-5

b)

5

c)

$\pm$ 5

d)

-12.5

e)

12.5

85.

x²= 100

a)

10

b)

10 or -10

c)

50

d)

50 or -50

86.

y²= 64

a)

±8

b)

8

c)

±32

d)

32

87.

130 = n²

a)

n ≅ ± 11.4

b)

n ≅ 11.4

c)

n = ± 65

d)

n = 65

88.

x² = 16

a)

4

b)

8

c)

±8

d)

±4

89.

4r³= 32

a)

±2

b)

-2

c)

2

d)

4

90.

m³= 512

a)

8

b)

± 8

c)

7

d)

± 9

91.

a³ = 216

a)

6

b)

± 6

c)

108

d)

-6

92.

p³=1000

a)

100

b)

10

c)

-10

d)

±100

93.

What is the length of the side of the square?

a)

12

b)

72

c)

36

d)

20,736

94.

What is the length of the side of the square?

a)

8

b)

8 and -8

c)

64

d)

4096

95.

If a square room has the area of 361ft², what is the length of each side of the room?

a)

19

b)

90.25

c)

130,321

d)

-19

Real Numbers

Total questions: 95

Worksheet time: 2hrs 26mins

Similar Resources on Wayground