Free Printable NUMBER SYSTEM

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.

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

a)

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

b)

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

c)

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

d)

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

7.

$a^{-1}$ is equal to

a)

a

b)

1

c)

0

d)

$\frac{1}{a}$

8.

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

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

9.

What type if number is $\sqrt{2}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Whole Number

10.

Check all the numbers that are rational.

a)

$\sqrt{36}$

b)

$-\frac{3}{8}$

c)

$4\pi$

d)

$-200$

11.

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

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

12.

Which numbers are irrational? (check all that apply)

a)

$\sqrt{121}$

b)

$3\sqrt{2}$

c)

$\frac{-11}{5}\pi$

d)

$23.\overline{9}$

NUMBER SYSTEM

Total questions: 12

Worksheet time: 6mins

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