## NCERT Solutions for Class 10 Math - Free PDF Download

We have arranged**NCERT Solutions for Class 10 Math Textbook**in through and pointwise manner so that you can easily grasp the concept behind the question. Here you can find NCERT Solutions for Class 10 Math in PDF format so that you can download and use whenever you need. Math is one of the main subjects for Class 10th students. Math NCERT Textbook will help in building fundamentals in the subject. You need to solve the exercises given between the chapters. If you're facing any problem while solving any question in the exercises then you can take help from this page. The answer of each chapter is provided in the list. You only need to select the required chapter from the list and start reading.

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

The Class 10th Math textbook consists of total 15 chapters which can be divided into seven units. We will start with number system and then move towards algebra. After which we will study coordinate geometry. We will also study concepts of trigonometry and mensuration. Lastly, we will study Statistics and Probability.

__Chapter 1 - Real Numbers__

There are total four exercises in the chapter. In the first exercise, there are four questions and most of them are based on Euclid's division lemma. The second exercise consists of HCF and LCM questions. The third exercise has three questions in which you prove numbers rational or irrational. The last exercise also has three questions based in which you have to expand fractions into decimals and write decimals in their fraction form.

__Chapter 2 - Polynomials__

The chapter has four exercises however the last exercise is optional. In the first exercise, you have to find zeroes of polynomials

*p*(

*x*). There are two questions in the second exercise. In the first, you have to verify the relationship between the zeroes and the coefficients while in the second you have to find a quadratic polynomial. The third exercise contains five questions in which you have to do division of polynomials and obtain zeroes of polynomials. The optional exercise has five questions in which you have to find zeroes of polynomials.

__Chapter 3 - Pair of Linear Equations in Two Variables__

There are seven exercises in which the last exercise is optional. In the first exercise, there are three world problems given. There are seven questions in the second exercise. The first question has two problems while in the second and third you have to compare the ratios of the pair of linear equations. In the fourth question, you have to find whether pairs of linear equations are consistent or inconsistent. The fifth question is a word problem and in the sixth question, we have to find another linear equation in two variables. In the last question, you have to draw the graphs of the equations. The third exercise has three questions. In the first, you have to solve the given pair of linear equations by the substitution method while in the second you need to find the value of ‘m'. The third question has six world problems. The fourth exercise has two questions. In the second question, you have to solve the pair of linear equations by the elimination method and the substitution method while the second question contains five world problems. The fifth exercise contains five questions in which you have to solve the pair of linear equations through various methods given. The sixth exercise has two questions. The last exercise is optional.

__Chapter 4 - Quadratic Equations__

There are four exercises. The first has two questions, in the first you need to find check whether equations are quadratic equations or not while in the second you have to convert world problem into quadratic equations. In the second exercise, you need to find the roots of quadratic equations by factorisation. The third exercise is also on finding the roots of quadratic equations. The fourth exercise has five questions based on finding roots.

__Chapter 5 - Arithmetic Progressions__

Four exercises are given in the whole chapter which is divided into various questions in which we have to find the term.

__Chapter 6 - Triangles__

There are six exercises including one optional having different set of questions based on the properties of triangles.

__Chapter 7 - Coordinate Geometry__

There are four exercises in the chapter. The questions are about finding the distance between the two points whose coordinates are given, finding the area of the triangle formed by three given points and finding the coordinates of the point which divides a line segment joining two given points in a given ratio.

__Chapter 8 - Introduction to Trigonometry__

There are four exercises consisting of various questions mainly on finding trigonometric ratios.

__Chapter 9 - Some Applications of Trigonometry__

There is only one exercise whose questions are based on the practical applications of trigonometry.

__Chapter 10 - Circles__

The chapter has two exercises. The first exercise has basic questions while in the second, there various questions in which you have to prove the given equations.

__Chapter 11 - Constructions__

In this chapter, you have to draw various constructions such as division of line segments, construction of Tangents to a Circle.

__Chapter 12 - Areas related to Circles__

Three exercises cover questions of the area of a circle and finding the areas of two special ‘parts’ of a circular region.

__Chapter 13 - Surface Areas and Volumes__

In this chapter, we will deal with the problems of finding areas and volumes of different solids such as cube, cuboid and cylinder.

__Chapter 14 - Statistics__

There are total four exercises in which you have to solve questions based on finding mean, median and mode from ungrouped data to that of grouped data. You will also have to solve questions related to cumulative frequency, the cumulative frequency distribution and how to draw cumulative frequency curves.

__Chapter 15 - Probability__

There are only two exercises in which one is optional. The questions is on finding the probability of getting a situation mostly on coins and dice.

**Notes of Math Class 10th**

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