Free Printable comparing irrationals numbers

1.

Find the square root.

√289

a)

15

b)

17

c)

14

d)

13

2.

Find the square root.

√256

a)

14

b)

16

c)

13

d)

17

3.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

4.

The area of a square painting is 81 cm². What is the side length of the painting?

a)

40.5 cm

b)

162 cm

c)

6,561 cm

d)

9 cm

5.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

6.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√12.2

d)

√13

7.

Which is the best approximation of point M?

a)

√2

b)

7/3.5

c)

14/4

d)

π

8.

Which points are greater than √5 ? Choose all that apply.

a)

Point M

b)

Point N

c)

Point P

d)

Point Q

e)

None of the above

9.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

10.

A square wall has an area of 87.5 square feet. Which best represents the length of the wall?

a)

43.75 feet

b)

21.9 feet

c)

9.4 feet

d)

7656 feet

11.

Which best represents the length of one side of the square?

a)

5 m

b)

400 m

c)

10 m

d)

4.5 m

12.

What is the perimeter of this square?

a)

6 m

b)

9 m

c)

24 m

d)

18 m

13.

Between what two integers is the irrational number located?

a)

-9 and -11

b)

-81 and -100

c)

-9 and -10

d)

9 and 10

14.

Between what two integers is the irrational number located?

a)

8 and 10

b)

8 and 9

c)

64 and 81

d)

-64 and -81

15.

Between what two integers is the irrational number located?

a)

3 and 5

b)

2 and 4

c)

3 and 4

d)

-3 and -4

16.

Between what two integers is the irrational number located?

a)

6 and 7

b)

7 and 8

c)

36 and 49

d)

-36 and -49

17.

Between what two integers is the irrational number located?

a)

2 and 4

b)

9 and 16

c)

2 and 3

d)

8 and 27

18.

Irrational numbers can be written in the form of a fraction.

a)

False

b)

True

19.

__________ includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

20.

All ______ numbers, which include rational and irrational numbers, can be plotted on a number line.

a)

Fake

b)

Non Real

c)

Real

d)

Cool

21.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

22.

5 is ___________

a)

Rational

b)

Irrational

23.

Is the following number rational or irrational? (77/3)

a)

Rational

b)

Irrational

24.

Is the following number rational or irrational? (π)

a)

Rational

b)

Irrational

25.

Select the ONLY number that is RATIONAL

a)

π

b)

π/4

c)

√2

d)

√49

26.

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

27.

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

28.

Which is the best estimate for: √15

a)

5.6

b)

2.6

c)

3.9

d)

3.6

29.

Match the given number with a letter on the number line.
$\sqrt{10}$

a)

A

b)

B

c)

C

d)

D

e)

E

30.

Match the given number with a letter on the number line.
$\sqrt{40}$

a)

A

b)

B

c)

C

d)

D

e)

E

31.

Match the given number with a letter on the number line.
$\sqrt{18}$

a)

A

b)

B

c)

C

d)

D

e)

E

32.

Match the given number with a letter on the number line.
$\sqrt{21}$

a)

A

b)

B

c)

C

d)

D

e)

E

33.

$\sqrt{11}$ is a real number.

a)

True

b)

False

c)

:)

34.

Zero is a natural number.

a)

True

b)

False

35.

Compare.
3.14 ______ $\pi$

a)

<

b)

>

c)

=

d)

?

36.

Compare.
$\sqrt{50}$ ______ $\frac{15}{2}$

a)

<

b)

>

c)

=

d)

?

37.

Compare.
$\sqrt{17}$ ______ $3.9$

a)

<

b)

>

c)

=

d)

?

38.

Compare.
$\sqrt{99}$ ______ $\frac{28}{3}$

a)

<

b)

>

c)

=

d)

?

39.

Which is larger 2.4 or $\sqrt{6}$ ?

a)

2.4

b)

$\sqrt{6}$

40.

Which numbers represent a perfect square? Select all that apply.

a)

25

b)

64

c)

4

d)

81

e)

125

41.

Which numbers represent a perfect cube? Select all that apply.

a)

25

b)

64

c)

4

d)

81

e)

125

42.

0.333333.... is an irrational number.

a)

True

b)

False

43.

Ms. Arroyo is awesome!

a)

True

b)

False

c)

Not sure

d)

Oh yeah :)

44.

Identify the repeating decimals.
I. –0. $\overline{353}$
II. 3.611
III –1.35555...
IV. 2.15
V. 7.7770

a)

I and III

b)

I, III, V

c)

II

d)

I

45.

The following set of numbers are called what?
{0, 1, 2, 3....}

a)

Whole numbers

b)

Integers

c)

Plain Numbers

d)

Irrational numbers

46.

True or False: You got this in the bag!

a)

True

b)

False

47.

Is today Friday?

a)

Yes

b)

No

c)

Not sure

48.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

49.

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.

a)

Proportional

b)

Non-Proportional

50.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

51.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

comparing irrationals numbers

Total questions: 51

Worksheet time: 4hrs 51mins

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