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Worksheets

Real numbers

Total questions: 35

Worksheet time: 43mins

Name
Class
Date
1.

Which is not irrational ?

క్రింది వానిలో కరణీయ సంఖ్య కానిది?

a)

6/√3

b)

2√5

c)

5+√3

d)

7-√4

2.

The decimal form of 7/80 is ....

7/80 యొక్క దశాంశ రూపం ఒక....

a)

terminating decimal

అంతమొందే దశాంశo

b)

Non-terminating repeating decimal

అంతం కాని ఆవర్తన దశాంశo

c)

Non-terminating non-repeating decimal

అంతం కాని ఆవర్తనo కానిదశాంశo

d)

None of the above

పైవేవీ కావు

3.
Which of the following contains only rational numbers?
a)
2.5, .764567..., 1/2, √27
b)
π, √4, √16, 7.7
c)
6.7, 4.45, -3, 
d)
5, -4.5, √13, √-9
4.
Explain the error(s).
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
5.
a)
Rational Numbers
b)
Irrational Numbers
c)
Decimals
d)
Whole Numbers
6.
4.56789789342984729... would classify as...
a)
whole
b)
irrational
c)
rational
d)
integer
7.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
8.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
9.
Which word does NOT describe 5?
a)
Whole
b)
Integer
c)
Rational
d)
Irrational
10.
A rational number:
a)
can be turned into a fraction.
b)
is only positive.
c)
can't have a decimal.
d)
is not a real number.
11.
An irrational number:
a)
goes on forever and does not repeat.
b)
can't be turned into a fraction.
c)
includes pi and √2
d)
All of the above.
12.
-4 is not a whole number because:
a)
It's negative and whole numbers are positive.
b)
it's irrational.
c)
it cannot be turned into a fraction.
d)
it is even.
13.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
14.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
15.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
16.

which of the following is irrational ?

a)

0.15

b)

0.01516

c)

0.01516‾0.\overline{01516}  

d)

0.501500150001....

17.

the representation of 1.3‾1.\overline{3}  in the form of pq\frac{p}{q}  is

a)

34\frac{3}{4}  

b)

53\frac{5}{3}  

c)

54\frac{5}{4}  

d)

none of these

18.

Prime factorisation of 125 is

a)

5x5

b)

2x5x5x2

c)

5x5x5

d)

5x25

19.

The decimal expansion of an irrational numbers is

a)

Non-terminating

b)

Non-recurring

c)

Non-terminating and non-recurring

d)

None of the above

20.

1/3 in decimal form

a)

0.1111...

b)

0.2222...

c)

0.3333...

d)

0.9999

21.

A number which is neither prime nor composite

a)

3

b)

2

c)

Not determined

d)

1

22.

An even prime number is

a)

1

b)

2

c)

4

d)

8

23.

How many rational numbers will exist in between two rational numbers?

a)

1

b)

0

c)

2

d)

Infinite

24.

3.25 in p/q form

a)

325/100

b)

13/4

c)

1/2

d)

1/5

25.

The collection of all rational numbers and irrational numbers is known as

a)

Real Numbers

b)

Natural Numbers

c)

Integers

d)

Whole numbers

26.

The Decimal expansion of rational numbers is

a)

Terminating Decimals

b)

Non-terminating recurring decimals

c)

Either terminating or non-terminating recurring decimals

d)

Neither terminating nor non-terminating recurring decimals

27.

Rational numbers are denoted by

a)

N

b)

W

c)

Z

d)

Q

28.

 a−1a^{-1}  is equal to 

a)

a

b)

1

c)

0

d)

 1a\frac{1}{a}  

29.

The number obtained on rationalizing the denominator of  33\frac{3}{\sqrt{3}}  is

a)

3

b)

 33\frac{\sqrt{3}}{3}  

c)

 3\sqrt{3}  

d)

 333\sqrt{3}  

30.

The number obtained on rationalizing the denominator of  17−2\frac{1}{\sqrt{7}-2}  is

a)

 7+23\frac{\sqrt{7}+2}{3}  

b)

 7−23\frac{\sqrt{7}-2}{3}  

c)

 7+25\frac{\sqrt{7}+2}{5}  

d)

 7−25\frac{\sqrt{7}-2}{5}  

31.

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

a)

 15\sqrt{15}  

b)

 150\sqrt{150}  

c)

 50\sqrt{50}  

d)

5

32.

 23+ 32\sqrt{3}+\ \sqrt{3}  is equal to 

a)

 262\sqrt{6}  

b)

6

c)

 333\sqrt{3}  

d)

 464\sqrt{6}  

33.

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

a)

37

b)

67

c)

47

d)

57

34.

 A rational number between 17 and 27 isA\ rational\ number\ between\ \frac{1}{7}\ and\ \frac{2}{7}\ is  

a)

 114\frac{1}{14}  

b)

 221\frac{2}{21}  

c)

 514\frac{5}{14}  

d)

 521\frac{5}{21}  

35.

 2−7is 2-\sqrt{7}is\   

a)

a rational number

b)

an irrational number 

c)

an integer

d)

a natural number