Free Printable Number System 2

1.

$2\sqrt{3}+\ \sqrt{3}$ is equal to

a)

$2\sqrt{6}$

b)

6

c)

$3\sqrt{3}$

d)

$4\sqrt{6}$

2.

$\sqrt{10}\ \times\sqrt{5}$ is equal to

a)

$\sqrt{15}$

b)

$\sqrt{150}$

c)

$\sqrt{50}$

d)

5

3.

The number obtained on rationalizing the denominator of $\frac{1}{\sqrt{7}-2}$ is

a)

$\frac{\sqrt{7}+2}{3}$

b)

$\frac{\sqrt{7}-2}{3}$

c)

$\frac{\sqrt{7}+2}{5}$

d)

$\frac{\sqrt{7}-2}{5}$

4.

After rationalize the denominator of $\frac{7}{3\sqrt{3}-2\sqrt{2}}$ , we get the denominator as

a)

13

b)

19

c)

5

d)

37

5.

$64^{\frac{1}{3}}$ is equal to

a)

8

b)

4

c)

12

d)

6

6.

$a^{-1}$ is equal to

a)

a

b)

1

c)

0

d)

$\frac{1}{a}$

7.

$\left(3^{\frac{1}{2}}\right)^{\frac{1}{3}}$ is equal to

a)

$3^{\frac{1}{2}}$

b)

$3^{\frac{1}{3}}$

c)

$3^{\frac{1}{5}}$

d)

$3^{\frac{1}{6}}$

8.

What is the decimal equivalent of 4/25?

a)

16%

b)

0.16

c)

1.6

d)

0.08

9.

Which of these rational numbers is farthest to the left of a number line?

a)

-8/3

b)

-3

c)

-2.3

d)

-10/7

10.

Zero can be classified as all of the following except which?

a)

Whole

b)

Rational

c)

Integer

d)

Natural

11.

Classify the Number: -2.58

a)

irrational, real

b)

rational, real

c)

integer, rational, real

d)

integer, irrational, real

12.

What type of number is $3.\overline{5}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

13.

What two numbers is the $\sqrt{37}$ between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

14.

Which number is LARGER than $\sqrt{99}$ ?

a)

$\frac{1}{2}of\ \frac{1}{3}$

b)

$5\left(12-9\right)\div\left(5-19\right)$

c)

$\left(\frac{\sqrt{16}}{4}\right)^{25}$

d)

$\frac{400}{2^2}$

15.

$\frac{\sqrt{196}}{\left(3\times6\right)}$ is ______________ $0.\overline{7}$

a)

greater than

b)

less than

c)

equivalent to

16.

$-\frac{13}{4}$ is ______________ $-\sqrt{9}$

a)

greater than

b)

less than

c)

equivalent to

17.

Which number is LARGER than $\sqrt{99}$ ?

a)

$\frac{1}{2}of\ \frac{1}{3}$

b)

$5\left(12-9\right)\div\left(5-19\right)$

c)

$\left(\frac{\sqrt{16}}{4}\right)^{25}$

d)

$\frac{400}{2^2}$

18.

How can you tell if a number is rational?

a)

it has a positive value

b)

it can be written as a ratio of two integers (a fraction)

c)

it has a negative value

d)

it has a $\pi$ symbol

19.

What two numbers is the $\sqrt{24}$ between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

20.

What two numbers is the $\sqrt{37}$ between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

21.

Decimal representation of a rational number cannot be_____

a)

Terminating

b)

Non-terminating

c)

Non-terminating and repeating

d)

Non-terminating and non-repeating

22.

Can √4.7 be represented on a number line geometrically ?

a)

Yes

b)

No

23.

What category/categories does the following number fall into? $\pi$

a)

Irrational and Real

b)

Rational and Real

c)

Imaginary

d)

Real

24.

What category/categories does the following number fall into? 6.4894982357....

a)

Doesn't exist

b)

Umm... what?

c)

Rational and Real

d)

Irrational and Real

25.

Put the numbers in order from least to greatest: 4.9, 4, $\sqrt{26}$ , $\frac{23}{5}$ , and 462%

a)

4, 4.9, $\sqrt{26}$ , 462%, and $\frac{23}{5}$

b)

4, $\frac{23}{5}$ , 462% , 4.9, and $\sqrt{26}$

c)

4, $\sqrt{26}$ , $\frac{23}{5}$ , 4.9, and 462%

d)

4, $\sqrt{26}$ , 462%, 4.9, and $\frac{23}{5}$

Number System 2

Total questions: 25

Worksheet time: 6hrs 15mins

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