NCERT Solutions For Class 10 Maths: Students in search of Class 10 Maths NCERT Solutions can download the free PDF from here. The CBSE NCERT Class 10 Maths solution provided here is prepared by our teachers and academic experts at Embibe. The NCERT free PDF exercise solutions provided here covers all the questions as per the CBSE NCERT textbooks. The NCERT exercise solutions are solved in simple steps which are very easy to understand.
In this article, we have provided you with NCERT Solutions for Class 10 Maths PDF. Students can download the solutions for all chapters (1 to 15) for free directly without any signup formalities. Scroll down to get the solutions!
NCERT Solutions For Class 10 Maths – Chapterwise
The links to the NCERT solutions for each chapter of Class 10 Maths are as under:
- • 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
Advantages Of CBSE NCERT Solutions For Class 10 Maths
The NCERT Class 10 Maths solution provided here will be of great help to students. The advantages are listed as follows:
- Better Understanding of Concepts: The NCERT Class 10 solutions will help you develop a better understanding of the topics. This will help you to have a strong command over the subject. The step-by-step precise and elaborate solutions will help students understand the problem-solving method better.
- Acts as a Reference to Solve and Practice: Students can refer to the solutions in case of any doubt. It also helps in knowing the correct way to solve problems. You can also use it for practice and quick revision.
- Assignment Completion: Candidates may have to solve the problems as a part of an assignment and thus these NCERT solutions will help you in this task.
- On Spot Learning: For many students, Mathematics gradually becomes hard to understand as they do not clear their doubts and understand the problem-solving method. Thus, using the Class 10 Maths NCERT solutions, students can understand the solving method then and there. This saves them from getting stuck in a single question without any hint or clue.
- Will Lay a Strong Foundation for Future Grades: Eventually, the concepts and problems will lay a strong foundation for higher classes. Be it cracking competitive exams, applying for government exams or any other opportunity, this basic knowledge will help you a lot.
Significance of Class 10 Maths NCERT Solutions
Class 10 board exams is the first public exams faced by students and thorough preparation is very much needed right from the beginning of the year. Among all the subjects, Mathematics is one of the important subjects and a proper understanding of Maths chapters & topics is essential. A proper understanding of the concepts and developing problem-solving skill will not only help you score excellent marks in the upcoming exams but also will also act as a strong foundation for future studies.
Preparing for Class 10 Maths is very crucial and any negligence will affect your overall percentage in the board exams. Thus students must prepare for the exam consistently using the Class 10 Maths NCERT Exercise solutions. The solutions will act as a guide when you solve the exercise questions on your own.
How To Study For Class 10 Maths?
Many students find Maths as a difficult subject and often do not pay attention as much as they do for other subjects. However, it is very important to understand that Maths is not difficult to learn and understand. For many students, the first thing that comes to their mind when they think of Maths is that it is very difficult. Thus, it first thing is to remove the mental block by the action which you take.
To begin with you first need to read and understand the topics. If you feel you are not able to understand the concept after the class approach your teachers and elders for help. Thereafter, take easy problems first and solve them. Thereafter start solving more challenging problems. This exercise will help you overcome your fear of Maths subject. Now, when you approach the next chapter, you just need to repeat the same.
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. This will help you have a better understanding of each chapter.
NCERT Solutions For Class 10 Maths Chapter 1: Real Numbers
This chapter consists of four exercises based on the different topics of the chapter – Euclid’s Division Lemma, The Fundamental Theorem of Arithmetic, Revisiting Irrational Numbers, Revisiting Rational Numbers and Their Decimal Expansions. There are two theorems in this chapter with examples and problems. In Class 9, you were introduced to the concept of irrational numbers and in Class 10 this discussion continues by revisiting irrational numbers.
|Exercise 1.1||5 Questions|
|Exercise 1.2||7 Questions|
|Exercise 1.3||3 Questions|
|Exercise 1.4||3 Questions|
|Download Class 10 Maths Chapter 1 – Real Numbers Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 2: Polynomials
This chapter consists of four exercises with the last exercise as an optional one. The study of polynomials here is the continuation of topics studied in Class 9. The introduction of the chapter briefs polynomials with one variable and their degrees that were covered in Class 9. This is further continued with the discussion of linear polynomials, quadratic polynomials, cubic polynomial. The geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, and division algorithm for polynomials are the main topics covered in this chapter.
|Exercise 2.1||1 Question|
|Exercise 2.2||2 Questions|
|Exercise 2.3||5 Questions|
|Exercise 2.4||5 Questions|
|Download Class 10 Maths Chapter 2 – Polynomials Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 3: Pair Of Linear Equations In Two Variables
This chapter consists of 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), and equations reducible to a pair of linear equations in two variables. Majorly you will learn to solve pair of linear equations by graphical method (which will be solved on graph sheets) and algebraic method (using the three methods mentioned above). Lastly, you will solve the equations which are reducible to a pair of linear equations. The chapter has plenty of examples and exercise questions.
|Exercise 3.1||3 Questions|
|Exercise 3.2||7 Questions|
|Exercise 3.3||3 Questions|
|Exercise 3.4||2 Questions|
|Exercise 3.5||4 Questions|
|Exercise 3.6||2 Questions|
|Exercise 3.7||8 Questions|
|Download Class 10 Maths Chapter 3 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 4: Quadratic Equations
Quadratic Equation is one of the most important and interesting chapters in the syllabus of CBSE Class 10 syllabus for Maths. It consists of a total of four exercises. Here, students will initially learn the standard form of the quadratic equation with the help of examples. This will be followed by the study of the different methods of solving quadratic equations like the solution of a quadratic equation by factorization and solution of a quadratic equation by completing the square. Lastly, students will learn about the nature of the roots. This chapter consists of plenty of exercises and examples which will help you to understand the topics.
|Exercise 4.1||2 Questions|
|Exercise 4.2||6 Questions|
|Exercise 4.3||11 Questions|
|Exercise 4.4||5 Questions|
|Download Class 10 Maths Chapter 4 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 5: Arithmetic Progressions
An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term. In this chapter, students will learn the basics of AP – common difference, finite and infinite AP, nth term of an AP, the sum of first n terms of an AP, etc. The chapter consists of four exercises with the last exercise being an optional one. Also, there are example problems with detailed solutions to help you understand the various concepts in this chapter.
|Exercise 5.1||4 questions|
|Exercise 5.2||20 questions|
|Exercise 5.3||20 Questions|
|Exercise 5.4||5 Questions|
|Download Class 10 Maths Chapter 5 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 6: Triangles
This chapter consists of 6 exercises with one being optional. In Class 9, congruence of triangles was discussed and here you will mainly learn about similar triangles with several theorems, proofs, and problems. First, you will learn the concept of similar triangles and the criteria for similarity of triangles. This will be followed by the study of the theorem on triangles. Thereafter, the area of similar triangles (with theorem) and Pythagoras Theorem will be discussed. A total of 6 theorems are discussed in this chapter.
|Exercise 6.1||3 Questions|
|Exercise 6.2||10 Questions|
|Exercise 6.3||16 Questions|
|Exercise 6.4||9 Questions|
|Exercise 6.5||17 Questions|
|Exercise 6.6||10 Questions|
|Download Class 10 Maths Chapter 6 – Triangles Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 7: Coordinate Geometry
Coordinate Geometry consists of a total of four exercises. In this chapter, you will learn how to find the distance between two points whose coordinates are given and how to find the area of the triangle formed by three given points. Besides, how to find the coordinates of the point which divides a line segment joining two given points in a given ratio will be discussed.
|Exercise 7.1||10 Questions|
|Exercise 7.2||10 Questions|
|Exercise 7.3||5 Questions|
|Exercise 7.4||8 Questions|
|Download Class 10 Maths Chapter 7 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 8: Introduction To Trignometry
Trigonometry is a very important chapter that holds significance not only in Class 10 but also in further grades. The chapter consists of a total of 4 exercises and example problems. The discussion starts with trigonometric ratios where you study sine, cosine, tangent, cosecant, secant, cotangent. Thereafter, you will learn about trigonometric ratios of some specific angles (0, 30, 45, 60, and 90 degrees) followed by trigonometric ratios of complementary angles and trigonometric identities. There are plenty of problems to understand the chapter better.
|Exercise 8.1||11 Questions|
|Exercise 8.2||4 Questions|
|Exercise 8.3||7 Questions|
|Exercise 8.4||5 Questions|
|Download Class 10 Maths Chapter 8 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 9: Some Applications Of Trigonometry
In this chapter, you will learn about some interesting ways to implement trigonometry and solve real-life problems. This chapter has only one exercise. The questions are based on real-life applications of trigonometry. You will have to visualize and mathematically represent it to solve the problems.
|Exercise 9.1||16 Questions|
|Download Class 10 Maths Chapter 9 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 10: Circles
The basic definition and other fundamentals of circles were discussed in the previous class. Here we will continue with further discussion on circles. The chapter consists of only two theorems and two exercises. The discussion in this chapter is mainly based on the tangent to a circle and the number of tangents from a point on a circle.
|Exercise 10.1||4 Questions|
|Exercise 10.2||13 Questions|
|Download Class 10 Maths Chapter 10 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 11: Constructions
NCERT Class 10 Chapter 11 is a continued discussion from Class 9 where you came across some basic constructions. In this chapter, you will learn a few more constructions using your past knowledge of the basic constructions. The two major discussions are about the division of a line segment and construction of tangents to a circle. Besides, you will also be expected to give mathematical reasoning behind why such constructions work. Also, you will have to be good at using geometrical instruments.
|Exercise 11.1||7 Questions|
|Exercise 11.2||7 Questions|
|Download Class 10 Maths Chapter 11 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 12: Areas Related To Circles
NCERT Class 10 Maths Chapter 12 – Area Related to Circles – mainly deals with finding the areas of the sector, a segment of a circle and areas of a combination of plane figures. In this chapter, our discussion will begin with the revision of the perimeter and area of circles. Later, the discussion will extend to finding the area of a segment and section of a segment. Lastly, you will also learn to calculate the area of a combination of plane figures. In our daily life, we find many objects to be round or circular in shape. Thus, having knowledge of Areas Related to Circles is of great significance.
|Exercise 12.1||5 Questions|
|Exercise 12.2||14 Questions|
|Exercise 12.3||16 Questions|
|Download Class 10 Maths Chapter 12 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 13: Surface Areas And Volumes
In this chapter, you will learn about surface areas and volumes of combinations of solids which is a continuation of the discussion in Class 9 on cuboid, cone, cylinder, and sphere. The chapter begins with the understanding of solid figures as a combination of solids and continues to calculate their surface area and volume. Thereafter, the conversion of solid from one shape to another and related concepts are discussed. Lastly, the concept of Frustum of a cone is discussed. A total of five exercises are there in this chapter with the last one being optional.
|Exercise 13.1||9 Questions|
|Exercise 13.2||8 Questions|
|Exercise 13.3||9 Questions|
|Exercise 13.4||5 Questions|
|Exercise 13.5||7 Questions|
|Download Class 10 Maths Chapter 13 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 14: Statistics
This chapter consists of four exercises with more of arithmetic calculations. Here you will be calculating the mean, median and mode of grouped and ungrouped data. Also, you will be solving problems on the cumulative frequency and how to draw cumulative frequency curves and cumulative frequency distribution topics.
|Exercise 14.1||9 Questions|
|Exercise 14.2||6 Questions|
|Exercise 14.3||7 Questions|
|Exercise 14.4||3 Questions|
|Download Class 10 Maths Chapter 14 Solutions PDF|
NCERT Solutions For Class 10 Maths Chapter 15: Probability
This chapter deals with the study and calculation of the probability of occurrence of an event, which is very common in our daily life. This chapter gives a mathematical approach to understanding this. The chapter consists of only two exercises of which one is optional.
|Exercise 15.1||25 Questions|
|Exercise 15.2||5 Questions|
|Download Class 10 Maths Chapter 15 Solutions PDF|
Frequently Asked Questions For Class 10 Maths NCERT Solutions
The FAQs for NCERT Solutions are provided below. This will help you to answer your queries.
A. The Class 10 Maths NCERT Solutions can be downloaded online. Students can click on this page to download the solutions in PDF format. The solutions are solved by the experts at Embibe.
A. NCERT Books are the best source for class 10 board exam preparations. In this context, solving Class 10 Maths NCERT exercise questions is very essential for regular preparation, practice and revision.
A. Solving the NCERT exercise solutions will help you a lot with your exam preparations. Besides that, you can also solve some different type of questions and solve the previous year papers.
A. Solve the exercise questions on your own. If you are taking some time to solve it then try your best and give that time. However, if you are really stuck and not able to solve then you can refer to the solutions provided here to check the problem-solving method. Directly referring to the solutions is not advisable as it will impact your ability to seek different methods to solve a problem.
We have now provided you with the complete CBSE NCERT solutions for Class 10 Maths. Make the best use of it by solving and practising these problems. You can use these solutions as and when you complete a lesson. You can also solve more CBSE Class 10 Maths questions from these chapters on Embibe. These are available for free and will help you improve your conceptual knowledge and test-taking skills.
We hope this article on CBSE NCERT Solutions for Class 10 Maths helps you. If you have any question, feel free to post it in the comment box below. We will get back to you at the earliest.
Stay tuned on embibe.com for more on CBSE NCERT Solutions For Class 10.486 Views