Free Printable NS.a.1 Classify Numbers as Rational or Irrational

1.

SELECT ALL numbers that are irrational:

a)

$\sqrt{67}$

b)

$\frac{9}{27}$

c)

$\frac{2}{\pi}$

d)

0.123123...

e)

0.2468910...

2.

SELECT ALL that are Rational:

a)

$12\pi$

b)

$\sqrt{169}$

c)

$0.\overline{18}$

d)

0.156915691569...

e)

$\sqrt{120}$

3.

Which number is NOT rational?

a)

0.164164164....

b)

∛27

c)

$\frac{\sqrt{9}}{\sqrt{36}}$

d)

$\sqrt{\frac{20}{100}}$

4.

Which number is NOT irrational?

a)

∛6

b)

1.4321

c)

$\frac{\sqrt{81}}{9}$

d)

$\sqrt{200}$

5.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

6.

A number can be rational and irrational.

a)

True

b)

False

7.

Is √2 Irrational?

a)

Yes

b)

No

8.

Classify $-3.254$

a)

Rational

b)

Irrational

9.

Classify $\sqrt{5}$

a)

Rational

b)

Irrational

10.

Classify $\sqrt{121}$

a)

Rational

b)

Irrational

11.

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

12.

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

13.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

14.

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

a)

whole numbers

b)

integers

c)

irrational numbers

d)

natural numbers

15.

A rational number can be written as a fraction?

a)

True

b)

False

16.

Classify $\frac{3}{5}$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

17.

$SELECT\ ALL\ that\ are\ true\ about\ \sqrt{25}$

a)

It is irrational

b)

It is rational

c)

The answer is an integer

d)

The answer is a whole number

e)

Perfect square roots are not real numbers

18.

Is the following rational?

$\sqrt{2}$

a)

Yes

b)

No

c)

Sometimes

d)

Um...

19.

Classify the following:
$\sqrt{64}$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

20.

Classify the following:
$\pi$

a)

Rational

b)

Irrational

c)

Neither

d)

Both

NS.a.1 Classify Numbers as Rational or Irrational

Total questions: 20

Worksheet time: 51mins

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