- Real Numbers Important Definition
- |
- Euclid's Division Lemma
- |
- Proof of Euclid's Division Lemma
- |
- HCF (Highest common factor)
- |
- What is Prime Numbers
- |
- What is Composite Numbers
- |
- Fundamental Theorem of Arithmetic
- |
- HCF and LCM by prime factorization method
- |
- Irrational Numbers
- |
- How to prove the irrational numbers or Rational numbers

Given below are the **Class 10 Maths** Important Questions for Real Numbers

a. Concepts questions

b. Calculation problems

c. Multiple choice questions

d. Long answer questions

e. Fill in the blanks

a. Concepts questions

b. Calculation problems

c. Multiple choice questions

d. Long answer questions

e. Fill in the blanks

- $\frac {7}{25}$
- $ \frac {3}{7}$
- $ \frac {29}{343}$
- $ \frac {6}{15}$
- $ \frac {77}{210}$
- $ \frac {11}{67}$
- $ \frac {15}{27}$
- $ \frac {11}{6}$
- $ \frac {343445}{140}$

a. 867 and 225

b. 616 and 32

Solution

a. 4 and 5

b. 1/2 and 1/3

a. 1.232323….

b. 1.25

c. 3.67777777

a. Prove that 2+√3 is a irrational number

b. Prove that 3√3 a irrational number

Solution

a. Number of the form 2n +1 where n is any positive integer are always odd number

b. Product of two prime number is always equal to their LCM

c. √3X √12 is a irrational number

d. Every integer is a rational number

e. The HCF of two prime number is always 1

f. There are infinite integers between two integers

g. There are finite rational number between 2 and 3

h. √3 Can be expressed in the form √3/1,so it is a rational number

i. The number 6

j. Any positive odd integer is of the form 6m+1 or 6m+3 or 6m +5 where q is some integer

Solution

a. 25

b. 9

c. 27

d. 54

Solution

a. Non terminating repeating

b. Terminating

c. Non terminating non repeating

d. None of these

Solution

a. LCM (a, b) =aXb

b. HCF (a, b)= aXb

c. a=br

d. None of these

Solution

a. 2 or 5 only

b. 2 or 3 only

c. 3 or 5 only

d. 3 or 7 only

Solution

a. x is a irrational number

b. y is a rational number

c. z is rational number

d.All of the above

Solution

a.27,81

b. 120 ,144

c. 29029 ,580

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

(A) always irrational

(B) always rational

(C) rational or irrational

(D) one

Solution

Solution

Given below are the links of some of the reference books for class 10 math.

- Oswaal CBSE Question Bank Class 10 Hindi B, English Communication Science, Social Science & Maths (Set of 5 Books)
- Mathematics for Class 10 by R D Sharma
- Pearson IIT Foundation Maths Class 10
- Secondary School Mathematics for Class 10
- Xam Idea Complete Course Mathematics Class 10

You can use above books for extra knowledge and practicing different questions.