Free Printable 8th Grade Practice Test 1

1.

$2\pi,\sqrt{44},\ 6.4\overline{3}$
Put these numbers in order from smallest to largest.

a)

$2\pi,\sqrt{44},\ 6.4\overline{3}$

b)

$6.4\overline{3},\ 2\pi,\sqrt{44}$

c)

$\sqrt{44},\ 2\pi,\ 6.4\overline{3}$

d)

$\sqrt{44},\ 6.4\overline{3},\ 2\pi$

e)

$2\pi,\ 6.4\overline{3},\ \sqrt{44}$

2.

Check all the rational numbers.

a)

$\frac{4\pi}{\pi\sqrt[]{16}}$

b)

$3\pi$

c)

$\sqrt{25}$

d)

$\sqrt{35}$

e)

$\frac{3}{8}$

3.

Check all the irrational numbers.

a)

$4^2$

b)

$3\pi$

c)

$\sqrt{4}$

d)

$\sqrt{35}$

e)

$\frac{3}{8}$

4.

Irrational numbers have decimal parts that do not...

(a)

5.

What two consecutive integers is $\sqrt{115}$ betwen?

4 lines

6.

$3\pi,\ \sqrt{82},\ \sqrt{81},\ 8.\overline{79},\ \frac{100}{\sqrt{121}}$

In the list of numbers, which one is the largest?

a)

$3\pi$

b)

$\frac{100}{\sqrt{121}}$

c)

$\sqrt{82}$

d)

$8.\overline{79}$

e)

$\sqrt{81}$

7.

A fraction is which type of number?

a)

Rational

b)

Irrational

8.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

9.

Fractions are shown.
1/3, 1/4, 5/8
Order the fractions from least to greatest.

a)

1/4, 5/8, 1/3

b)

1/4, 1/3, 5/8

c)

5/8, 1/3, 1/4

d)

1/3, 1/4, 5/8

10.

a)

<

b)

>

c)

=

d)

None of the Above

11.

Given the following radical, decide if it is rational or irrational:
√16

a)

Rational

b)

Irrational

12.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

13.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

14.

_____________ number is a number that cannot be written as a ratio of two integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

15.

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

16.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

17.

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

18.

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

19.

Put √7 in the right blank so that the numbers are in numerical order.

a)

__, 2.1, 2.3, 2.9

b)

2.1, __, 2.3, 2.9

c)

2.1, 2.3, __, 2.9

d)

2.1, 2.3, 2.9, __

20.

What is the approximate value of √28 ?

a)

5.6

b)

5.9

c)

5.3

d)

8

21.

Level 3

What is the best estimate for the √63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

22.

Which of the following real numbers has the smallest value?

a)

7.1

b)

$6\pi$

c)

$\frac{20}{3}$

d)

$\sqrt[]{51}$

23.

Classify the following number:
1.01011011101111....

a)

Rational

b)

Irrational

24.

Classify the following:
0.478123123123123123....

a)

Rational

b)

Irrational

25.

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

a)

Rational

b)

Irrational

26.

- $\sqrt[]{89}$ is located between which two integers on a number line?

a)

No Solution

b)

-9 & -8

c)

9 & 10

d)

-10 & -9

27.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

28.

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

a)

64

b)

27

c)

81

d)

16

29.

$\sqrt[3]{125}$

a)

5

b)

4

c)

6

d)

7

30.

$\sqrt[3]{216}$

a)

6

b)

72

c)

108

d)

4

31.

3³

a)

89

b)

27

c)

42

d)

100

32.

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

a)

Even

b)

irrational

c)

Rational

d)

Odd

33.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

34.

$\sqrt[]{20}$ is between which two consecutive integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

35.

Which number is between 7 and 8?

a)

$\sqrt[]{48}$

b)

$\sqrt[]{81}$

c)

$\sqrt[]{60}$

d)

$\sqrt[]{36}$

36.

Put these numbers in order from greatest to least.

a)

$\sqrt[]{25}$

b)

$\pi+2$

c)

$5.1\overline{4}$

d)

$5.\overline{14}$

e)

$\sqrt[]{27}$

1)

2)

3)

4)

5)

37.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

38.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

39.

What is this as a fraction?

a)

$\frac{4}{10}$

b)

$\frac{2}{5}$

c)

$\frac{2}{45}$

d)

$\frac{4}{100}$

40.

What are the next 4 digits of this decimal?

(a)

41.

What is this decimal as a fraction?

(a)

42.

Which decimal is larger?

a)

Tricky Mr. Teacher!! They're the same!!

b)

The one on the left!

c)

The one on the right!

43.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

e)

REAL

44.

Select all that apply that will classify the following number: -2.5

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

e)

IRRATIONAL

45.

Select all that apply that will classify the following number: $\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

e)

IRRATIONAL

46.

Select all that apply that will classify the following number: 0

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

e)

REAL

47.

Select all that apply that will classify the following number: $\sqrt[]{169}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

e)

REAL

48.

Select all that apply that will classify the following number: $\sqrt[]{26}$

a)

NATURAL

b)

WHOLE

c)

REAL

d)

RATIONAL

e)

IRRATIONAL

49.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

50.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

8th Grade Practice Test 1 - Irrational Numbers

Total questions: 50

Worksheet time: 2hrs 10mins

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