NCERT Solutions for Class 10 Maths

Download NCERT Class 10 Maths Solutions PDF

NCERT Solutions for Class 10 Maths provided here covers all the chapters and Exercises of Class 10 Maths. These solutions are prepared by the expert teachers who are having years of experience in teaching Maths for Class 10 students. Class 10 Maths NCERT Solutions are explained in step by step manner and available in PDF format. Students can now download the class 10 Maths NCERT solutions PDFs for uninterrupted learning experience.


The Class 10 Maths NCERT Solution PDFs cover all the Exercises from Chapters 1 - 15 present in the NCERT books. These Class 10 Maths solutions are written in accordance with the CBSE exam guidelines to increase the students understanding of the subject and help to score well.The NCERT solutions for class 10 Mathematics PDFs will not only prepare the students for final exams but will also help to understand the concept better. Science and Maths are two important subjects of class 10 and if you are looking for reliable and accurate NCERT Solutions for Class 10 Science you will find that on Vedantu.

NCERT Solutions for Class 10 Maths PDF Updated for 2021-22 Session

NCERT Maths solution pdfs for Class 10 is a very reliable and accurate source of information. The study material contains an exhaustive explanation to all the questions. These answers are written clearly and step by step to maximise retention. While going through these solutions, students will find themselves understanding the concept better. Practising regularly is a prerequisite if students want to score well in mathematics. NCERT solutions Class 10th act as a perfect guide for you. You can consult the guide to brush up your memory or help you if you get stuck somewhere.


CBSE Class 10 Maths Chapters & Exercises Solutions

NCERT Solutions for Class 10 Maths Chapter 1 - Real Numbers

There are 4 Exercises present in this chapter. Students will learn about real numbers and irrational numbers in the 1st chapter of Class 10 Maths. CBSE Class 10 Maths Chapter 1 explains Euclid’s Division Lemma, HCF, LCM, Divisibility of integers, rational number, irrational number and decimal expansion of rational numbers with the help of theorem.



NCERT Solution for Class 10 Mathematics Chapter 2 - Polynomials

There are a total of 4 Exercises including an optional Exercise in the 2nd chapter of class 10 Maths. The first Exercise is about to find zeros of polynomials p(x). In the second Exercise, the students need to find a quadratic polynomial. The second Exercise is  based on the relationship between 0’s and coefficients of a polynomial. The third Exercise has questions on division of polynomials. The last Exercise covers questions from all the concepts of Class 10 Maths Chapter 2.



NCERT Solutions for Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables

The third chapter of class 10 maths is about the linear equations in two variables. It describes what a linear equation in two variables is and how to solve the problems on linear equations in two variables. In the first Exercise (Ex 3.1), representing a problem or situation algebraically and graphically is taught. The second Exercise, i.e, Ex 3.2, depicts the methods of solving linear equations by graphical method. The next four Exercises, Ex 3.3, 3.4, 3.5 and 3.6 explains the different types of methods of solving the pairs of linear equations. The methods explained here are algebraic method, cross-multiplication method, elimination method and substitution method. Exercise 3.7 is a mix bag. It contains questions from all the Exercises.



NCERT Solutions for Class 10 Maths Chapter 4 - Quadratic Equations

The chapter 4 of NCERT solutions for class 10 is all about quadratic equations. This chapter explains what a quadratic equation is and the methods of solving quadratic equations. It also explains the factorization method of solving quadratic equations and the square method. The chapter gives the details of relationships between discriminant and nature of roots. Also, the problems of real life have been solved as examples in this chapter.



NCERT Solutions for Class 10 Mathematics Chapter 5 - Arithmetic Progressions

This chapter introduces a new topic to the students - Arithmetic Progression, commonly called as AP. Students will learn what is AP, derivation of nth term, finding the sum of first n terms of the AP and solving the real life problems using AP in this chapter. The first Exercise of the chapter teaches how to represent a problem or situation in the form of AP, how to find the first term and difference of the AP, and to find whether the given series is Ap or not. The next Exercise, Ex 5.2 explains how to find the nth term of the AP using the formula. The third Exercise describes how to find the sum of first n terms of AP and contains questions related to the topic. The last and fourth Exercise have questions related to the topics taught in the chapter.



NCERT Solutions for Class 10 Maths Chapter 6 - Triangles

The chapter 6 of class 10 gives details about the triangles. The chapter gives details about the figures with the same shape but different sizes. It explains the similarity of the triangles, theorems associated with the similarity of triangles and the concept of congruent triangles. Further, theorems related to areas of triangles, the Pythagoras theorem and the converse of pythagoras theorem is explained.



NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

Class 10 Maths Chapter 7 explains coordinate geometry, the maths of locating a given point with the help of an ordered pair of numbers. The coordinate or cartesian geometry helps to find the distance between two points whose coordinates are given. The concept of finding the area of a triangle formed by three given points. Also, the ways of finding the coordinates of the point which divides a line segment joining two given points in a given ratio is explained in the chapter. The students will learn distance formula, section formula and area of triangles in this chapter of NCERT Solutions.



NCERT Solutions for Class 10 Maths Chapter 8 - Introduction to Trigonometry

The chapter 8 of NCERT Solutions introduces trigonometry to the students. Trigonometry is the study of the ratio of right triangles with respect to the acute angles, which are known as trigonometric ratios of the angles. Also, the trigonometric ratios for angles 0 and 90. Students will also learn to calculate trigonometric ratios for the given angles and also a few trigonometric identities.



NCERT Solutions for Class 10 Math Chapter 9 - Some Applications of Trigonometry

Chapter 9 is the continuation of chapter 8 where the students will learn about the application of trigonometry which they learnt in the previous chapter. This chapter helps to understand how trigonometry is applied to our everyday life to find out the height and distance of various objects. They will also learn how trigonometry is applied and used in navigation, construction and determining the position of any piece of land based on their latitude and longitudes.


Chapter 9 - Some Applications of Trigonometry Exercises in PDF Format

Exercise 9.1

16 Questions & Solutions (16 Long Answers)


NCERT Solutions for Class 10 Mathematics Chapter 10 - Circles

Chapter 10 for class 10 Maths, NCERT Solutions continues the details of Circles studies in previous classes. In this chapter, students will be introduced to the concept of tangents and number of tangents from a point on a circle.



NCERT Solutions for Class 10 Mathematics Chapter 11 - Constructions

Chapter 11 is one of the interesting chapters. This chapter is all about constructing various geometric figures. The students will learn to divide a line segment, and how to draw tangents to a circle. The methods of construction are well explained in the chapter to clear the concepts.



NCERT Solutions Class 10 Maths Chapter 12 - Areas Related to Circles

As the name suggests, the chapter is about the perimeter and area of a circle. The concepts of finding the area of a sector and segment of a circle is clarified here. This chapter further explains how to find the area of the figures that contains a circle or part of a circle.



NCERT Solutions for Class 10 Maths Chapter 13 - Surface Areas and Volumes

The class 10 chapter 13 of NCERT Solutions is about the surface areas and volumes of different objects and shapes. In the five Exercises of this chapter, finding the surface area of any object which is made up of two or more different solid shapes. The solid shapes include cuboid, cone, sphere, hemisphere and cylinder. Then, there are questions on finding the volume of the objects that are again made up of two different solid shapes. Also, there are questions which ask about the conversion from one shape to another. This chapter further explains how to find the volume, curved surface area and total surface area of a frustum of a cone.



NCERT Solutions for Class 10 Maths Chapter 14 - Statistics

This is another interesting chapter where the students learn about the numerical representation of data, grouped or ungrouped. They further learn about finding the mean, median and mode of the given data. In the next Exercise, they will learn about the cumulative frequency distribution and drawing cumulative frequency curves.



NCERT Solutions for Class 10 Maths Chapter 15 - Probability

Chapter 15 or the last chapter of NCERT Solutions for class 10 Maths teaches probability. It elaborates and explains the difference between experimental probability and theoretical probability.  The chapter is full of examples to clear the concept of probability to the learners.



Finding accurate answers online is a difficult task but Vedantu’s NCERT class 10 Maths SolutionsPDF is a reliable source. Students can download the PDF easily and start going through the chapters. You will find clear categorisation and step by step solutions of all the questions with a clear conclusion. This will help you to understand how you can write answers in your exams to help you score well.


CBSE Class 10 Maths Exam Pattern for 2021-2022

The central Board of Secondary Education conducts CBSE Class 10 Board exams every year. The exam is of 100 marks where 80 marks is for theory whereas 20 marks is given for internal assessment. To understand the marking scheme in a better way, you should understand the exam pattern clearly. To score good in the exam, you should know how much mark is awarded for each question and each step of the question. Every year, just before the board exams, the board releases sample papers and marking schemes so that all the doubts of the students are cleared. According to the revised pattern of CBSE, 25% of the theory questions are going to be objective. The number of questions are increased and the marks per question are reduced. This marking scheme will be helpful to the students as the maximum number of questions will become objective or very short answer type as the marks per question has reduced.


CBSE focuses on all-round development of Class 10 students to prepare them for their further education. To perform well in Class 10 then becomes fairly important. So students are advised to go through the NCERT solution for Class 10 PDF regularly. CBSE marking scheme is stepwise so you have scored accordingly. Therefore students should write each step clearly and give a proper conclusion at the end of the answer. The unit wise marks weightage of the mathematics paper is as follows:


The paper has four sections. There are a total of 30 questions for 80 marks.


Class 10 Maths Chapter-Wise Marks Weightage


Sr.no

Chapter Name

Marks

1

Number System

6

2

Algebra

20

3

Coordinate Geometry

6

4

Geometry

15

5

Trigonometry

12

6

Mensuration

10

7

Statistics and Probability

11


The question paper design will be:


CBSE Class 10 Maths Question Paper Design 2021-22


Sr. No

Type of Questions

Total Marks

Weightage

1

Memory: Terms, answers, basic concepts and recalling of facts.

Understanding: Compare, organize, interpret, translate, describe and stating main ideas.

43

54

2

Apply: Solving problems by applying the knowledge, facts, theorems and rules in different ways.

19

24

3

Analyse: Analyse the information provided and make inferences. 

Evaluate: Opine about the validity of quality of work and validity of ideas.

Create:  Creating alternative solutions of the given problem and grouping the elements.

18

22

Total


80

100


Internal assessment includes:

Pen Paper Test - 10

Portfolio - 05

Lab Practical - 05

Total - 20 marks.


Benefits of NCERT Solution for Class 10 Maths

NCERT 10 Maths solutions PDF created at Vedantu is one of the most sought after study material online. Vedantu’s online learning ecosystem has everything the students need. Students go through the PDF and gain an in-depth understanding of the topics which prepares them for their final exams and also for their further studies. Some key features of the NCERT Maths solution Class 10 PDF are:

  • Step by step calculation of every question to improve understanding of the topic.

  • An exhaustive explanation of the problems to encourage concept-based learning.

  • Up to date with the improvements made in the syllabus.

  • Categorised chapter wise to improve ease of use.

  • Great for revision and brushing up before examinations.

  • Additional questions to help you track your progress.

  • Follow an exam pattern to help you score well in the examinations.


How will CBSE Class 10 Maths Solutions Help You to Score High Marks in Board Exams?

Maths is an important as well as difficult subject to crack. To score high marks in maths board exams, you need to have a clear picture of the concepts taught in the grade 10. If you can grasp the concepts and topics of class 10 maths, you can definitely score very high marks in the board exams. But this is not easy. You need to do constant practice along with understanding the topics and the concepts behind them. To make the work smarter for you, NCERT Solutions are provided. Here, the detailed description of all the topics are provided by the highly qualified experts of Vedantu. They put all their experience in the pdf of NCERT Solutions for Class 10 Maths. So, if you want to score high marks in board exams do refer to our pdfs which will make your scoring high.


Why to Refer NCERT Maths Class 10 Solutions PDF for Board Exams?

NCERT Maths Class 10 PDF is a free PDF available online for students to use while preparing for their Maths exam. The exam pattern focuses on application-based learning where the concepts taught in the textbooks are tested. So, students need to have everything on their tips. From formulas to theorems, from identities to diagrams, all these can look like an uphill task. In order to help you in your preparations, Vedantu’s NCERT solution for Class 10 is available. You can download the free PDF for free and start your preparations.


While preparing for your exams you will find the PDF rather helpful. It is categorised chapter wise which makes it perfect to use as a reference study material. If you find yourself stuck anywhere you can go to the chapter directly and find the solution to the problem in no time. During exam preparations managing your time is very important. NCERT Solutions for Class 10 PDF is created to reduce the effort in finding accurate solutions to questions. Get your copy of the free PDF here.

FAQs (Frequently Asked Questions)

Q1. How will NCERT Solutions for Class 10 Maths help me in learning?

Ans: NCERT Solutions for class 10 Maths is prepared for overall learning of a student. It explains all the concepts of class 10 CBSE. It also provides the solutions of all the NCERT textbook questions. Also, it has questions for practice. So, you can learn the concepts, solve NCERT textbook questions and also practice extra questions provided hence learning the all of maths class 10 CBSE.

Q2. How can I cover the whole syllabus of Class 10 Maths on time?

Ans: To cover the whole syllabus of class 10 Maths on time, you can refer to NCERT Solutions for class 10 from Vedantu. Compiled by a group of experts, these solutions will prove a true guide to you. Whether it's about covering the syllabus or scoring high marks, Vedantu’s NCERT Solutions always comes handy. So, download the solutions today and enjoy studying!

Q3. Can I get NCERT Solutions for Class 10 Maths for free?

Ans: Yes, you can download NCERT Solutions for class 10 Maths for completely free of cost from Vedantu’s official website. The solutions are prepared by the experts of Vedantu after a lot of research and these are as per the latest guidelines of CBSE. You can download it hassle free from the official website of Vedantu at free of cost.

Q4. If I am stuck on any concept or numerical problem, will NCERT Solutions for Class 10 Maths help me?

Ans: Yes, definitely. NCERT Solutions for class 10 Maths are designed in such a way that it will help you in concept clearance and then practice. In Mathematics, concept clearance is very much required as the questions will be based on concepts only and you have to solve it logically. So, refer to NCERT Solutions for class 10 Maths and enjoy learning.

Q5. Is NCERT Solutions for Class 10 Maths enough for scoring high in exams?

Scoring high in exams depends on how well you are aware of the concepts and how well you can imply that on numerical and logical problems. NCERT Solutions will help you in clearing your concepts well and building a strong foundation. So, if your concepts are clear, and you practice well, NCERT Solutions are enough to score high marks in the exam.

Q6. Where will I get the NCERT Solutions for Class 10 Maths PDF?

Ans: Solutions for Class 10 Maths is one of the best ways for you to prepare for your board exam. The solutions are present on Vedantu’s website (vedantu.com) free of cost. Vedantu’s NCERT solutions are available in PDF format so that you can download them and use them to study online. Students can download these from Vedantu mobile app as well. All the solutions are explained in an easy format along with the concepts. With these solutions in your hand, you won’t have to worry about finishing your NCERT syllabus.

Q7. How to master in Class 10 Maths CBSE?

Ans: In order to master your Class 10 CBSE, you need to focus on finishing your NCERT syllabus. This involves solving all the questions and the examples. To help you with this, Vedantu offers NCERT Solutions for Class 10 Maths in PDF format. You can use these as a guide for finishing the NCERT exercises. All the solutions are provided in a step-by-step format for your benefit. It is the easiest way for you to score well in your exams.

Q8. Where can I download CBSE Class 10 NCERT Mathematics PDF Solutions?

Ans: CBSE Class 10 NCERT Mathematics PDF solutions are nothing short of a blessing for the students. Vedantu offers PDFs of thoroughly written solutions where all the questions from NCERT exercises are explained in detail. Follow these steps to download them:

  • Visit the page of ‘NCERT Solutions for Class 10 Maths’ on the official website of Vedantu (vedantu.com).

  • Find the exercise for which you want a solution and click on the ‘Download PDF’ link.

  • The solutions will be downloaded into your system. You’ll also receive a message/ mail with a direct download button of your preferred solution.

Q9. What are the concepts explained in the solutions of NCERT Class 10 Maths Textbook?

Ans: The Vedantu’s solutions of NCERT Class 10 Maths textbook can help all the students of Class 10th with helpful tips and tricks for solving math problems. These tricks are provided at the end of all chapters. There are 15 chapters in total that students have to study for the Class 10 exam. All the chapters are explained in a detailed manner by the subject matter experts. You can download the NCERT Class 10 Maths PDF solutions from Vedantu (vedantu.com) and learn all the chapters from the syllabus.

Q10. How can I save these Class 10 NCERT Maths Solutions for reference?

Ans: Vedantu’s Class 10 NCERT Maths Solutions is the easiest way for you to prepare for your Class 10 exams. These solutions PDF cover the concepts as well as solutions to exercises. If you want to save them for reference, you will have to download their PDF files. There is a separate PDF file for each exercise that you can save on your mobile phone or computer for future reference. If you want, you can print these files for easy access.

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