NCERT Solutions for Class 10 mathematics covers all the questions given in the NCERT book. You can study and download these question and their solutions free from this page. These solutions are solved by our specialists at SaralStudy.com, that will assist all the students of respective boards, including CBSE, who follows NCERT; with tackling all the questions easily. We give chapter wise complete solutions for your straightforwardness.

- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 5 Arithmetic Progressions
- Chapter 6 Triangles
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 9 Some Applications of Trigonometry
- Chapter 10 Circles
- Chapter 11 Constructions
- Chapter 12 Areas Related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability

### Popular Questions of Class 10 Mathematics

- Q:-
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

(i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54 - Q:-
Use Euclid’s division algorithm to find the HCF of :

(i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 - Q:-
Given that HCF (306, 657) = 9, find LCM (306, 657).

- Q:-
Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3

*m*or 3*m*+ 1 for some integer m.

[**Hint**: Let x be any positive integer then it is of the form 3*q*, 3*q*+ 1 or 3*q*+ 2. Now square each of these and show that they can be rewritten in the form 3*m*or 3*m*+ 1.] - Q:-
Prove that √5 is irrational.

- Q:-
Check whether 6

^{n}can end with the digit 0 for any natural number n. - Q:-
Express each number as a product of its prime factors:

(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 - Q:-
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

- Q:-
Prove that 3 + 2√5 is irrational.

- Q:-
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

### Recently Viewed Questions of Class 10 Mathematics

- Q:-
Check whether 6

^{n}can end with the digit 0 for any natural number n. - Q:-
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

(i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54 - Q:-
Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3

*m*or 3*m*+ 1 for some integer m.

[**Hint**: Let x be any positive integer then it is of the form 3*q*, 3*q*+ 1 or 3*q*+ 2. Now square each of these and show that they can be rewritten in the form 3*m*or 3*m*+ 1.] - Q:-
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

- Q:-
A die is thrown once. Find the probability of getting

(i) a prime number; (ii) a number lying between 2 and 6; (iii) an odd number. - Q:-
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.

- Q:-
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

- Q:-
Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.

- Q:-
A quadrilateral ABCD is drawn to circumscribe a circle (see Fig. 10.12). Prove that AB + CD = AD + BC

- Q:-
The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.