NCERT Solutions For Class 10 Maths: Students who are looking for CBSE Class 10 Maths NCERT exercise solutions can download the CBSE NCERT solutions for Class 10 Maths as PDF from this article. The NCERT free PDF exercise solutions provided here are as per the CBSE books. Candidates can download these solutions and study at their own place. These NCERT Maths Class 10 solutions provided here are prepared by our teachers and academic experts at Embibe. We are providing you with Class 10 Maths NCERT solutions for all the 15 chapters with precise and elaborate explanations which are easy to understand and learn.
Students can use these solutions as per their need as and when he/she picks up a chapter to study or to complete his/her assignments. They can also share this link to their friends and classmates so that even they can learn and practise solving the exercise problems. Class 10 exam is an important exam in one’s life. It is also the first board exam which students face. Many students find maths to be difficult but with proper understanding, solving a variety of problems and regular practise, students can improve their score and confidence. Read on to avail the free PDF CBSE NCERT Solutions for Class 10 Maths.
NCERT Solutions For Class 10 Maths
Class 10 board exam is an important stage in a student’s life. Learning the concepts in the syllabus of Class 10 properly will not only fetch you higher scores but also will act as a good foundation for your future grades. A large population of students feels that Maths is a tough subject but in reality, it is not so difficult to crack this subject. All you need to do is understand the concepts thoroughly and then start solving problems. To help you with this, we are providing you with the NCERT solutions for Class 10 Maths.
NCERT Solutions For Class 10 Maths: Chapter-Wise NCERT Solution Links
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 Science
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.
- Precise and Elaborate Solutions: 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.
- 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.
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
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.
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. 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.
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.
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.
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, 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.
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.
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.
NCERT Solutions For Class 10 Maths Chapter 8: Introduction To Trignometry
Trigonometry is a very important chapter which 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.
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.
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.
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.
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.
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.
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.
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.
We have now provided you with the complete CBSE NCERT solutions for Class 10 Maths. Make the best use of it by solving and practicing 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.
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