Free Printable number system class9

1.

What is the decimal equivalent of 4/25?

a)

16%

b)

0.16

c)

1.6

d)

0.08

2.

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

a)

$\sqrt{15}$

b)

$\sqrt{150}$

c)

$\sqrt{50}$

d)

5

3.

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

a)

$2\sqrt{6}$

b)

6

c)

$3\sqrt{3}$

d)

$4\sqrt{6}$

4.

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)

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

5.

$\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to

a)

$\sqrt{9}-\sqrt{8}$

b)

$\frac{\sqrt{9}-\sqrt{8}}{1}$

c)

$3-\sqrt{8}$

d)

$3+\sqrt{8}$

6.

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

7.

The number obtained on rationalizing the denominator of $\frac{3}{\sqrt{3}}$ is

a)

3

b)

$\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$3\sqrt{3}$

8.

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

a)

8

b)

4

c)

12

d)

6

9.

$2^{\frac{1}{3}}\times\ 2^{\frac{1}{6}}$ is equal to

a)

2

b)

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

c)

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

d)

3

10.

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

a)

Whole

b)

Rational

c)

Integer

d)

Natural

11.

Classify the following number:

1.01276894...

a)

Rational

b)

Irrational

12.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

13.

Based on the chart, how many subsets are within the integers set?

a)

1

b)

2

c)

3

d)

none

14.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

15.

Which of the following is not a part of the set of rational numbers ?

a)

-42

b)

5/0

c)

0

d)

14.7

16.

Which of the following is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non terminating and non-recurring decimals.

c)

They are fractions.

d)

They are natural numbers.

17.

Which of the following number is an irrational number?

a)

√9

b)

√49

c)

√100

d)

√120

18.

Which statement is NOT true?

a)

0.121212… is a rational number.

b)

0.34353637 is an irrational number.

c)

8.14 is a rational number.

d)

5.12345… is an irrational number.

19.

What is the $\frac{p}{q}$ form of 0.252525... ?

(a)

20.

To convert a whole number into a rational number put it over_________

a)

10

b)

0

c)

1

d)

100

21.

Which of the following statements is true?

a)

Every rational number is an integer

b)

Every whole number is a natural number

c)

Every integer is a whole number

d)

Every whole number is a rational number

22.

$\frac{3}{5+2\sqrt{3}}$ can be expressed with rational denominator as ________________________ ?

a)

$\frac{15\ -\ 6\ \sqrt{3}}{13}$

b)

$\frac{15\ -6\sqrt{3}}{37}$

c)

$\frac{6\sqrt{3\ }\ -15}{13}$

d)

$\frac{6\sqrt{3}\ -15}{37}$

23.

What is the value of (3 - √3) (2 - √2) ?

a)

6 - √6

b)

6 -2√3 - 3√2 + √6

c)

6 + √6

d)

6 -2√3 - 3√2 - √6

24.

What is the value of 5√3 × √12 ?

a)

30

b)

6

c)

√180

d)

15√12

25.

√5 is an irrational number. Which of the following operations on it will give a rational number?

a)

Multiplying by $\sqrt{5}$ and then adding $\sqrt{5}$ .

b)

adding $\sqrt{5}$ and then multiplying by $\sqrt{5}$ .

c)

adding $\frac{1}{\sqrt{5}}$ to it.

d)

multiplying it by $\sqrt{9}$

26.

What is the product of 6 $\sqrt{5}$ and 2 $\sqrt{5}$ ?

a)

12 $\sqrt{5}$

b)

60

c)

4 $\sqrt{5}$

d)

3

27.

Which of the following gives a rational number ?

a)

$\pi\ +2$

b)

$\pi\times\pi$

c)

$\pi-\ 2$

d)

$\pi\times0$

28.

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 $\frac{23}{5}$

29.

Select all sets that the number belongs to:

-6

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

30.

Select all sets that the number belongs to:

0.\overline{4}

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

31.

Select all sets that the number belongs to:

0.32482418....

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

32.

Select all sets that the number belongs to:

0

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

33.

Select all sets that the number belongs to:
$\frac{-10}{2}$

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

34.

Select all sets that the number belongs to:

1.\overline{12}

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

35.

What is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

36.

Real number consist of

a)

only rational numbers

b)

only irrational numbers

c)

neither rational nor irrational number

d)

both rational and irrational numbers

37.

In between two rational number there is/are

a)

One rational number

b)

Two irrational numbers

c)

Infinitely many rational numbers

d)

only irrational number exist

38.

We can plot any real number on number line.

a)

True

b)

False

39.

$\left(a+\sqrt{b}\right)\left(a-\sqrt{b}\right)$ is equals to

a)

$a-b$

b)

$a^2-b^2$

c)

$a^2-b$

d)

$a-b^2$

40.

Find the value of x, if $3^{\left(x-10\right)}=\ 27$

a)

3

b)

13

c)

17

d)

7

41.

Determine if the product of $3\sqrt{2}$ and $8\sqrt{18}$ is rational or irrational.

a)

Rational

b)

Irrational

42.

What would be the denominator after rationalizing 7/(5√3 - 5√2)?

a)

19

b)

20

c)

25

d)

None of these

43.

$Express\ 2.4\overline{178}$ as a fraction in simplest form.

a)

12077 / 4995

b)

12076/ 4999

44.

$Simplify\ \frac{4}{2+\sqrt{3}+\sqrt{7}}$ the by rationalizing the denominator:

a)

$\frac{2\sqrt{3}+3-21}{3}$

b)

$\frac{2+\sqrt{3}-21}{3}$

45.

$Simplify\ :\ \frac{1}{(3-√8)}-\frac{1}{(√8-√7)}+\frac{1}{√7-√6)}-\frac{1}{(√6-√5)}+\frac{1}{(√5-2)}$

a)

3

b)

5

c)

4

d)

2

46.

$Ifx=3+√8,thenfindthevalueof(i)x^2+1/x^2$

a)

36

b)

32

c)

34

47.

$If\ a\ and\ b\ are\ rational\ numbers\ and\ \frac{(√11-√7)}{(√(11)+√7)}=a-b√77,the\ values\ ofa\ and\ b\ are$

a)

9/2 and -1/2

b)

7/2 and 1/2

c)

1 and 0

d)

0 and 1

48.

OP is equal to

a)

$\sqrt{2}$

b)

$\sqrt{3}$

c)

$\sqrt{5}$

d)

$\sqrt{7}$

49.

Which of the statement is false?

a)

Sum of a rational number and irrational number is rational number.

b)

Product of two irrational number may not be an irrational number.

c)

Product of two rational number is always a rational number.

d)

Sum of a rational number and irrational number is an irrational number.

50.

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

a)

greater than

b)

less than

c)

equivalent to

51.

$On\ simplifying\ \left(\sqrt{5\ }+\sqrt{7}\right)²,\ we\ get$

a)

12

b)

$\sqrt{35}$

c)

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

d)

$12+2\sqrt{35}$

52.

$If\ x=\frac{\sqrt{2\ }\ +1}{\sqrt{2}\ -1}\ and\ y=\frac{\sqrt{2}-1}{\sqrt{2}+1},\ find\ the\ value\ of\ x^2+y^2+xy$

a)

45

b)

25

c)

55

d)

35

53.

$Find\ the\ value\ of\ \left(81\right)^{0.16}\ X\ \left(81\right)^{0.09}$

a)

1

b)

6

c)

2

d)

3

54.

$Evaluate\ \left(\frac{32}{243}\right)^{\frac{-4}{5}}$

a)

27/16

b)

8/27

c)

81/16

d)

27/8

55.

$simplify\ \ \ 64^{\frac{-1}{3}}\left\{64^{\frac{1}{3}}-64^{\frac{2}{3}}\right\}$

a)

-3

b)

3

c)

1/3

d)

-1/3

56.

if\ x=5\ and\ y=2,\ find\ the\ value\ of\ \ \left(x^y+y^x\right)

a)

37

b)

67

c)

47

d)

57

57.

$Add\ 2\sqrt{2}+\ 5\sqrt{3}\ \ and\ \sqrt{2}-3\sqrt{3}$

a)

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

b)

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

c)

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

d)

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

58.

Find the value of: $\left(\left(16\right)^{-2}\right)^{\frac{1}{4}}$

a)

1/4

b)

1/2

c)

4

d)

1/16

59.

$\pi-2$ is

a)

A rational number

b)

An integer

c)

A fraction

d)

A irrational number

60.

Solve: $13^{\frac{1}{5}}\times7^{\frac{1}{5}}$

a)

$20^{\frac{1}{5}}$

b)

$91^{\frac{2}{5}}$

c)

$91^{\frac{1}{5}}$

d)

$91$

number system class9

Total questions: 60

Worksheet time: 47mins

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