# NCERT Solutions for Class 10 Maths PDF | Download Maths Chapter-Wise Solutions

NCERT Solutions For Class 10 Maths: Are you preparing for the Class 10 Maths Exam? Do you have the latest NCERT Solution?

Don’t worry! Here you can easily download the CBSE NCERT Solutions For Class 10 Maths.

Here we are providing you with Class 10 Maths NCERT Solutions for all the 15 chapters in NCERT books of Class 10 Maths with precise and elaborate explanations that are easy to understand and learn.

## NCERT Solutions For Class 10 Maths

You already know that the class 10 exam is an important exam in a student’s life. To build the concept on the subject and become more proficient, you should practice the topics every day.

By solving more problems NCERT Maths Solutions, you can develop a depth concept on the subject. It will help you to get a better score in the exam.

To help you with this, we are providing you with the NCERT solutions for Class 10 Maths.

### NCERT Solutions For Class 10 Maths 2020: Chapter-Wise NCERT Solution Links

The NCERT Solutions for Class 10 Maths comprises Number System, Algebra, Geometry, Coordinate Geometry, Trigonometry, Mensuration, and Statistics & Probability.

A total of 15 chapters are included in the CBSE Class 10 Maths syllabus.

From below you can download Chapter-Wise Class 10 Maths NCERT Solutions PDF.

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

**Benefits Of CBSE NCERT Solutions For Class 10 Science**

By using the NCERT Class 10 Maths solution, you will get tremendous benefits.

**Some Notable Benefits are as given below:**

**Building Depth Concepts**: The NCERT Class 10 solutions will help you develop the better concept on the topics. It will also help you to build strong command over the entire subject.

**Well Explained Every Solution**: Here, you will see step by step explanation in each topic. It will help students understand the problem-solving method better.

**Best Reference to solve the questions and Practice:** You can refer this solution to clear your doubts while solving chapter-wise exercise questions. You will know the best methodology to solve the problem. You can also use it for practice and quick revision.

**Assignment Completion On Time:** With the help of the solution, you will easily solve the problems as a part of an assignment at the proper time.

Build The Strong Foundation On Subject: It will also help you to build the strong foundation Maths. It will be helpful in higher education and also crack any competitive exams.

**CBSE NCERT Solutions For Class 10 Maths: Chapter Descriptions**

Let us have a look at what each of the chapters in the NCERT syllabus of Class 10 Maths deals with:

### NCERT Solutions For Class 10 Maths Chapter 1: Real Numbers

Here you will see four exercises based on the different topics of the chapter related to,

- Euclid’s Division Lemma,
- The Fundamental Theorem of Arithmetic,
- Revisiting Irrational Numbers,
- Revisiting Rational Numbers and Their Decimal Expansions.

You will learn two theorems in this chapter with examples and problems. You should know that you have already studied the concept of irrational numbers in Class 9. Here in Class 10, you will learn more about irrational numbers.

### NCERT Solutions For Class 10 Maths Chapter 2: Polynomials

You will get four exercises with the last exercise as an optional one in this chapter. You have already learnt the basics of polynomials in Class 9. This is the continuation of that topic.

In Class 9, you have already studied the introduction of the chapter briefs polynomials with one variable and their degrees.

Here you will learn more about,

- Linear polynomials,
- Quadratic polynomials,
- Cubic polynomial,
- Geometrical meaning of the zeroes of a polynomial,
- The relationship between zeroes and coefficients of a polynomial,
- Division algorithm for polynomials.

### NCERT Solutions For Class 10 Maths Chapter 3: Pair Of Linear Equations In Two Variables

In Maths Chapter 3, you will see seven exercises with the last exercise being optional.

In this chapter, you will learn about,

- Pair of linear equations in two variables,
- Graphical method of solution of a pair of linear equations,
- Algebraic methods of solving a pair of linear equations (substitution method, elimination method, cross-multiplication method),
- Equations reducible to a pair of linear equations in two variables.

You will know to solve the pair of linear equations by graphical method (which will be solved on graph sheets) and algebraic methods (using the three methods mentioned above).

You have to solve the equations which are reducible to a pair of linear equations. You will get plenty of examples and exercise questions.

### NCERT Solutions For Class 10 Maths Chapter 4: Quadratic Equations

Quadratic Equation is one of the essential chapters in the syllabus of the CBSE Class 10 syllabus for Maths.

It has four exercises. Here, you can build a depth concept on the standard form of the quadratic equation with the help of examples.

It covers the study of the different methods of solving quadratic equations. For Example,

- The solution of a quadratic equation by factorization,
- The solution of a quadratic equation by completing the square. Lastly, students will learn about the nature of the roots.

This chapter has a number of questions and examples that will help you to build the detailed concept on the topic.

### NCERT Solutions For Class 10 Maths Chapter 5: Arithmetic Progressions

An Arithmetic Progression (AP) is a sequence of numbers, and each term is obtained by adding a fixed number to the preceding term except the first term.

Here In this chapter, you will come to know,

- Basics of AP,
- Common difference,
- Finite and infinite AP,
- the nth term of an AP,
- Sum of first n terms of an AP, etc.

The chapter has four exercises with an optional last exercise. Also, you will see the number of example problems with detailed solutions to clear your concepts in this chapter.

### NCERT Solutions For Class 10 Maths Chapter 6: Triangles

You will see six exercises with one being optional. You have already studied the congruence of triangles that were discussed in Class 9.

Here you will know about similar triangles with several theorems, proofs, and problems.

Here, you will have a detailed understanding of the concept of similar triangles and the criteria for similarity of triangles.

This is the advance level of the study of the theorem on triangles. You will learn the area of similar triangles (with theorem), and Pythagoras Theorem will be discussed.

### NCERT Solutions For Class 10 Maths Chapter 7: Coordinate Geometry

You will find four exercises in Coordinate Geometry Chapter. In this chapter, you will know

- How to find the distance between two points whose coordinates are given,
- How to find the area of the triangle formed by three given points.

### NCERT Solutions For Class 10 Maths Chapter 8: Introduction To Trignometry

Trigonometry is a very important chapter. If you clear you concept in this chapter, it will be very helpful for future higher grades.

The chapter has a total of 4 exercises and example problems. The chapter is covering,

- The discussion starts with trigonometric ratios where you study sine, cosine, tangent, cosecant, secant, cotangent.

After that, you will learn about trigonometric ratios of some specific angles (0, 30, 45, 60, and 90 degrees).

You will also learn the trigonometric ratios of complementary angles and trigonometric identities. You need to solve plenty of problems to build a better understanding of the chapter.

### NCERT Solutions For Class 10 Maths Chapter 9: Some Applications Of Trigonometry

In this chapter, you will learn about some applications of trigonometry. You will learn to implement trigonometry and solve real-life problems.

You will see that the chapter has only one exercise. All the questions are based on real-life applications of trigonometry.

### NCERT Solutions For Class 10 Maths Chapter 10: Circles

You have already studied the basic definition and other fundamentals of circles in the previous class. Here we will know the advance discussion on circles.

The chapter has two theorems and two exercises. Here you will learn mainly on the tangent to a circle and the number of tangents from a point on a circle.

### NCERT Solutions For Class 10 Maths Chapter 11: Constructions

NCERT Class 10 Chapter 11 is the advanced level of the discussion from Class 9. In this chapter, you will learn a few more constructions using your past knowledge of the basic constructions.

Here you will learn two major concepts,

- The division of a line segment,
- Construction of tangents to a circle.

You will have a better knowledge of using geometrical instruments.

Maths Chapter 12 Area Related to Circles is about finding the areas of the sector, a segment of a circle, and areas of a combination of plane figures.

Here, you will study the revision of the perimeter and area of circles and finding the area of a segment and section of a segment.

Lastly, you will also know to calculate the area of a combination of plane figures. It will also help you to solve real-life problems.

### NCERT Solutions For Class 10 Maths Chapter 13: Surface Areas And Volumes

In this chapter, you will study surface areas and volumes of combinations of solids. It is a continuation of the discussion in Class 9 on cuboid, cone, cylinder, and sphere.

This chapter starts with the combination of solids and continues to calculate their surface area and volume.

After that, the conversion of solid from one shape to another and related concepts are discussed.

In the end, you will learn the concept of Frustum of a cone is discussed. A total of five exercises are there in this chapter, where the last one is optional.

### NCERT Solutions For Class 10 Maths Chapter 14: Statistics

In this chapter, you will see four exercises with more of arithmetic calculations. Here you have to calculate the mean, median, and mode of grouped and ungrouped data.

You have to also solve the problems on the cumulative frequency and how to draw cumulative frequency curves and cumulative frequency distribution topics.

### NCERT Solutions For Class 10 Maths Chapter 15: Probability

Here you will know the study and calculation of the probability of occurrence of an event very common in our daily life.

By studying this chapter, you will know the mathematical approach to an understanding probability related to real life.

You can refer below links to boost your prepare for CBSE Class 10 board exam.

- Know Everything About Class 10 board exam
- CBSE Class 10 Maths Previous Year Papers
- CBSE Sample Papers for Class 10
- CBSE Class 10 Maths New Exam Pattern 2019
- CBSE Class 10 Maths Marking Scheme
- Reference Books for CBSE Class 10 Maths

We have covered a detailed guide on CBSE NCERT Solutions for Class 10 Maths. Feel free to ask any questions in the comment section below.