Free Printable Study Guide

1.

√10

a)

Rational

b)

Irrational

2.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

3.

Select the irrational numbers

a)

$\sqrt{50}$

b)

2

c)

$\pi$

d)

2.3454128904

4.

a)

7 and 8

b)

8 and 9

c)

17 and 18

d)

35 and 36

5.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

6.

pi - 3.141592....

a)

Rational

b)

Irrational

7.

.141414141414...

a)

Rational

b)

Irrational

8.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

9.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

10.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

√1 =

a)

1

b)

2

c)

0

d)

1/2

14.

Which is the least: 0.06 or 0.060

a)

0.06

b)

They are equal.

c)

0.060

d)

Depends on the time of day.

15.

Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8

a)

>

b)

<

c)

=

16.

Fill in the blank with the correct sign >, < , or =
1/2 _______ -1/2

a)

>

b)

<

c)

=

17.

Place the numbers from least to greatest.
-2.5, -3.5, -1.5, -2.4, 0, -3.75

a)

-3.75, -3.5, -2.5, -2.4, -1.5, 0

b)

0, -1.5, -2.4, -2.5, -3.5, -3.75

c)

-1.5, -2.4, -2.5, -3.5, -3.75, 0

d)

0, -3.75, -3.5, -2.5, -2.4, -1.5

18.

True or false? The following numbers ordered from least to greatest?

\left\{\frac{1}{5},\ 1.25,\ 1.2555,\ 1\ \frac{3}{4}\right\}

a)

True

b)

False

19.

11) Which orders the numbers in ascending order?

a)

b)

c)

d)

20.

13) Four countries displayed the number of houses that had internet service in scientific notation. Which orders the countries in descending order?

a)

Italy, France, United States, Spain

b)

United States, Spain, Italy, France

c)

Italy, United States, Spain, France

d)

United States, Italy, Spain, France

21.

Which list of numbers is in order from least to greatest?

a)

A √23, 5, 6, 43%

b)

B 5, √23, 6, 43%

c)

C 43%, 5, √23, 6

d)

D 43%, √23, 5, 6

22.

Compare the two values using >, <, or =

(a)

23.

Compare the two values using >, <, or =

(a)

24.

Compare the two values using >, <, or =

(a)

25.

A non-ending, non-repeating decimal is which type of number?

a)

Rational

b)

Irrational

26.

A repeating decimal (like 4.7777...) is what type of number?

a)

Rational

b)

Irrational

27.

Order each set of values from least to greatest.
0.4, ⅝, 380%, |-3.4|, $\sqrt{16}$

a)

$\sqrt{16}$ , 380%, |-3.4|, 0.4, ⅝

b)

⅝, 380%, 0.4, |-3.4|, $\sqrt{16}$

c)

0.4, ⅝, |-3.4|, 380%, $\sqrt{16}$

28.

The table shows the favorite subjects of students in a recent survey.
Art = 4/25
English = 13%
Math = 0.28
Other = 7%
Science = 21/100
Social Studies = 0.15
Order the subjects from least to greatest.

a)

Math, Science, Art, Social Studies, English, Other

b)

Art, English, Math, Other, Science, Social Studies

c)

Other, English, Social Studies, Art, Science, Math

29.

Which statement is true?

a)

Every rational number is an integer

b)

Every whole number is a rational number but not an integer

c)

Every integer is a whole number

d)

Every whole number is a rational number

30.

Explain the error.

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.

31.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

32.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

33.

Pi (3.1415...) is a

a)

Rational number

b)

Integer

c)

Irrational number

d)

Whole number

34.

Identify 5.4 as a whole number, integer, or rational number.

a)

Rational Number

b)

Whole Number, Integer, Rational Number

c)

Integer, Rational Number

35.

Identify -80.5 as a whole number, integer, or rational number.

a)

Rational Number

b)

Integer, rational number

c)

Whole number, integer, rational number

36.

Identify 98 as a whole number, integer, or rational number.

a)

Rational Number

b)

Integer, rational number

c)

Whole number, integer, rational number

37.

Identify -9⅝ as a whole number, integer, or rational number.

a)

Rational Number

b)

Integer, rational number

c)

Whole number, integer, rational number

38.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

39.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

40.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

41.

Classify the following number. Please select all that apply.

789

a)

Rational

b)

Natural

c)

Integer

d)

Whole

42.

Which of the following sets of number are considered natural numbers?

a)

0,1,2,3,6,7

b)

3,4,6,9,10

c)

4.2, 5.2, 27, 45

d)

6,7,8,9.1, 10, 11

e)

9, 10, 200.23

43.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

44.

What type of number is $\frac{1}{2}$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

45.

What type of number is $\sqrt[]{12}$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

46.

What type of number is $0$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

47.

What type of number is $\sqrt[]{49}$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

48.

What type of number is $3.\overline{412}$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

49.

What type of number is $\pi$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

50.

What type of number is $156$ ?

(select all that apply)

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

51.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

52.

Simplify: $3\sqrt{16}$

a)

12

b)

48

c)

$\sqrt{12}$

d)

$3\sqrt{4}$

53.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

54.

Simplify: √31

a)

3√1

b)

already simplified

c)

1√3

d)

15√2 + 1

55.

$\sqrt{250}$

a)

$5\sqrt{10}$

b)

$25\sqrt{10}$

c)

$25\sqrt{2}$

d)

$10\sqrt{25}$

56.

Classify the number:

\sqrt{6}

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

57.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

58.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

59.

In simplest radical form,
√80 is equivalent to

a)

16√5

b)

2√20

c)

4√5

d)

8√5

60.

Which of the following is considered a perfect square?

a)

4

b)

5

c)

8

d)

10

61.

If a fraction converts into a decimal that eventually stops, it is called a (a) decimal

62.

If a fraction converts into a decimal that repeats, it is called a (a) decimal.

63.

Which of the following fractions would convert to a repeating decimal?

a)

\frac{7}{8}

b)

$\frac{3}{5}$

c)

$\frac{5}{2}$

d)

$\frac{2}{9}$

64.

Write the decimal equivalent to 9/20

a)

$\overline{.45}$

b)

.45

c)

$.4\overline{5}$

d)

.5

65.

Identify the repeating decimals.
I. –0. $\overline{353}$
II. 3.611
III –1.35353535
IV. 2.15
V. 7.7770

a)

I and III

b)

I, III, V

c)

II

d)

I

66.

Write 4/100 as a decimal

a)

.4

b)

.40

c)

.400

d)

.04

67.

Is the fraction 9/12 a repeating or terminating decimal?

a)

Repeating

b)

Terminating

68.

The decimal expansion of 11/40 is

a)

terminating

b)

repeating

69.

A repeating decimal or decimal that terminates is called a

a)

Rational Number

b)

Irrational Number

70.

a)

M

b)

N

c)

O

d)

P

71.

CHALLENGE.

a)

3

b)

62

c)

6

d)

2

72.

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

a)

P

b)

Q

c)

R

d)

S

73.

Which point on the number line best represents $\sqrt{90}$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

74.

Which value best approximates point R?

a)

18/4

b)

√50.9

c)

√7.13

d)

π²

75.

Arrange the following in order from least to greatest.

a)

b)

c)

d)

76.

Which mathematical statement is true?

a)

b)

c)

d)

77.

x² = 64, select ALL x equals

a)

-8

b)

8

c)

4

d)

16

78.

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

a)

1

b)

10

c)

100

d)

300

79.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

80.

A perfect square is a number whose square root is ___________.

a)

Even

b)

irrational

c)

Rational

d)

Odd

81.

What numbers replace the question marks? (click to see the problem)

a)

65 and 75

b)

9 and 10

c)

10 and 11

d)

11 and 12

82.

Which number is the closest approximation to the value of √15 + √26 ? (Hint: use the calculator to solve the problem)

a)

7

b)

9

c)

12

d)

10

83.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

84.

In simplest radical form, -5√75 is equivalent to:

a)

5√3

b)

-15√5

c)

√3

d)

-25√3

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

a)

A

b)

B

c)

C

d)

D

88.

who has a magic rose

a)

Belle

b)

Ariel

c)

Snow White

d)

Cinderella

89.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

90.

$\sqrt{63}$

a)

$9\sqrt{7}$

b)

$6\sqrt{2}$

c)

$7\sqrt{6}$

d)

$3\sqrt{7}$

Study Guide

Total questions: 90

Worksheet time: 8hrs 30mins

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