# Class 10 Maths NCERT Solutions- NCERT Solutions for Class 10 Maths Chapterwise

Class 10 Maths NCERT Solutions is arranged in pointwise manner so that you can easily grasp the concept behind the question. These Class 10 Maths has been prepared by experts faculty of Studyrankers who have large experience in teaching Maths and successfully helped students in cracking examinations with good marks. These NCERT Solutions are updated as per the latest syllabus of 2021-22. You can kick up your preparation with these CBSE NCERT Solutions for Class 10 Maths .
The concept and formulas used for each question has also been updated. It has become easier for students to understand the concept behind each questions.

## Chapter Wise NCERT Solutions for Class 10 Maths

Below is the list of chapters solutions for class 10 Maths NCERT Textbook. All the solutions are explained in detail. We have also provided the formula which are used by solving the questions. By solving these mathematics exercise of Class 10, students will be able to generate their own knowledge and build fundamentals. NCERT Solutions for Class 10 Maths in PDF format are provided below.

### NCERT Solutions for Class 10 Maths Exercise wise with Stepwise Solutions

NCERT Solutions for Class 10 Maths is also provided Exercise wise. The solutions to the Maths exercise of Class 10 given here will provide you a better guidance through which you can pass with flying colours. During the exam time, most of the students get nervous which adversely impact their studies, their mind gets fed up with studying. An individual feel that they are not able to study. In such a situation, it is necessary that you thicken yourself. List of the Chapters for Class 10 Maths NCERT Solutions is given below.

#### NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

In Chapter 1 Real Numbers of NCERT Class 10 Maths, 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.

NCERT Solutions for Class 10 Maths Chapter 1 Exercises
Real Numbers Class 10 Maths Exercise 1.1 Solutions
Exercise 1.2
Exercise 1.3
Exercise 1.4

#### NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

This 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. You can click on the exercise number of NCERT Solutions for Chapter 2 Polynomials Class 10 Maths below.

NCERT Solutions for Class 10 Maths Chapter 2 Exercises
Exercise 2.1
Exercise 2.2
Exercise 2.3
Exercise 2.4

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

Chapter 3 Pair of Linear Equations in two variables NCERT Solutions Class 10 Maths contains 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 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'. 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.

NCERT Solutions for Class 10 Maths Chapter 3 Exercises
Exercise 3.1
Exercise 3.2
Exercise 3.3
Exercise 3.4
Exercise 3.5
Exercise 3.6
Exercise 3.7

#### NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations

Chapter 4 Quadratic Equations will help you in learning finding the the roots of 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 factorization. The third exercise is also on finding the roots of quadratic equations. The fourth exercise has five questions based on finding roots.

NCERT Solutions for Class 10 Maths Chapter 4 Exercises
Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4

#### NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions

You will learn how to find the nth terms and the sum of n consecutive terms and use them to solve word problems in this chapter Class 10 Maths 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. The last Exercise 5.4 is optional but it will help you in getting the concepts that will help you in solving difficult questions and will be applicable in higher classes.

NCERT Solutions for Class 10 Maths Chapter 5 Exercises
Exercise 5.1
Exercise 5.2
Exercise 5.3
Exercise 5.4

#### NCERT Solutions for Class 10 Maths Chapter 6 Triangles

There are six exercises including one optional based on the properties of triangles in Chapter 6 Triangles. There are various theorems provided in the chapter but as per the syllabus, there are total 9 important theorems on which you should focus because they will come in CBSE board exams so you can score more and these will be also helpful in higher grades.

NCERT Solutions for Class 10 Maths Chapter 6 Exercises
Exercise 6.1
Exercise 6.2
Exercise 6.3
Exercise 6.4
Exercise 6.5
Exercise 6.6

#### NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

There are four exercises in the Chapter 7 Coordinate Geometry. 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. Distance Formula, Section Formula and Area of a Triangle are some of the important formulas that you will study in this chapter.

NCERT Solutions for Class 10 Maths Chapter 7 Exercises
Exercise 7.1
Exercise 7.2
Exercise 7.3
Exercise 7.4

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

There are four exercises consisting of various questions mainly on finding trigonometric ratios in the Chapter 8 Introduction to Trigonometry. Trigonometric Ratios, Trigonometric Identities and Trigonometric Ratios of Complementary Angles are important topics of this chapter.

NCERT Solutions for Class 10 Maths Chapter 8 Exercises
Exercise 8.1
Exercise 8.2
Exercise 8.3
Exercise 8.4

#### NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry

Chapter 9 Some Applications of Trigonometry contains only one exercise whose questions are based on the practical applications of trigonometry. Angle of elevation, Angle of Depression are important terms of this chapter.

NCERT Solutions for Class 10 Maths Chapter 9 Exercises
Exercise 9.1

#### NCERT Solutions for Class 10 Maths Chapter 10 Circles

A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. You will get to know about secant, chord, segment etc. Chapter 10 Circles 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.

NCERT Solutions for Class 10 Maths Chapter 10 Exercises
Exercise 10.1
Exercise 10.2

#### NCERT Solutions for Class 10 Maths Chapter Constructions

In Constructions, you have to draw various constructions such as division of line segments, construction of Tangents to a Circle. You have to provide Mathematical reasoning against your constructions.

NCERT Solutions for Class 10 Maths Constructions Exercises
Exercise 11.1
Exercise 11.2

Three exercises cover questions of the Chapter 11 Area related to circles and finding the areas of two special ‘parts’ of a circular region.

NCERT Solutions for Class 10 Maths Chapter 11 Exercises
Exercise 11.1
Exercise 11.2
Exercise 11.3

#### NCERT Solutions for Class 10 Maths Chapter 12 Surface Areas and Volumes

In this Chapter 12 Surface Areas and Volumes, we will deal with the problems of finding areas and volumes of different solids such as cube, cuboid and cylinder.

NCERT Solutions for Class 10 Maths Chapter 12 Exercises
Exercise 12.1
Exercise 12.2
Exercise 12.3
Exercise 12.4
Exercise 12.5

#### NCERT Solutions for Class 10 Maths Chapter 13 Statistics

There are total four exercises in Chapter 13 Statistics 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.

NCERT Solutions for Class 10 Maths Chapter 13 Exercises
Exercise 13.1
Exercise 13.2
Exercise 13.3
Exercise 13.4

#### NCERT Solutions for Class 10 Maths Chapter 14 Probability

There are only two exercises in which one is optional in the Chapter 14 Probability. The questions is on finding the probability of getting a situation mostly on coins and dice.

NCERT Solutions for Class 10 Maths Chapter 14 Exercises
Exercise 14.1
Exercise 14.2

Practising NCERT Solutions for Class 10 Maths is one the best way to improve your problem solving skills that is why Studyrankers has tried to provide accurate and detailed questions and answers chapterwise. A student will get to know about all the concepts that are embedded into the chapter which will be prove very precious not only this class but also in upcoming years.

#### Related Study Materials for Class 10 Maths

Other than NCERT Solutions for Class 10 Maths, MCQ and Revision Notes of Class 10 Maths are also important. We have also provided important questions where students can practice and would be able to get good marks in the examination.

### Weightage of Marks for CBSE Class 10 Maths

 Units Unit Name Marks I Number Systems 06 II Algebra 20 III Coordinate Geometry 06 IV Geometry 15 V Trigonometry 12 VI Mensuration 10 VII Statistics & Probability 11 Total 80

#### Why you should solve Class 10 Maths NCERT Solutions

We know the struggle that a student face in collecting right study materials. That is why, our experts have prepared Class 10 Study materials that includes NCERT Class 10 Maths Solutions, NCERT Class 10 Maths Notes, Class 10 Maths MCQs, Class 10 Maths Important Questions. These study materials will save your time and you can study effectively. NCERT Solutions for Class 10 Maths are explained properly giving you concepts of different topics.

It is important to note that in the newest academic session, CBSE decided to reduce syllabus by 30 percent however many topics which have been removed can act as connectors so a students must read those topics and improve their knowledge and skills. Class 10 Maths NCERT Solutions will help them in revising those topics. These are not only essential in Class 10 but if you're opting Science stream then also these topics will come so you must have proper understanding of those. You can check detailed CBSE Class 10 Maths latest Syllabus in order to know detailed syllabus and exam pattern.

#### Why NCERT Solutions for Class 10 Maths by Studyrankers?

These Maths Class 10 Solutions are prepared by our experts who are experienced and well qualified who have prepared step by step NCERT Class 10 Maths Solutions which will help you:
• In knowing the areas where one is lacking.
• We have touched all important points and detailed them so students can easily get them.
• NCERT Maths solutions also includes concept specific to the questions so you don't have to roam around the different sources to understand the question.
NCERT Class 10 Maths Textbook is one of the key through which you can check your understanding about the chapter. The Class 10th Maths textbook consists of total 15 chapters which can be divided into seven units. There are various questions provided between the chapter known as NCERT Solutions. These NCERT questions are important for the purpose of examinations and also help in developing your knowledge.

Taking small step through studying NCERT Class 10 Maths Solutions will big impact and you will feel Maths subject is easy. This will motivate you further in taking supplementary books like RS Aggarwal.

### Frequently Asked Questions on Class 10 Geography NCERT Solutions

#### Where to find Class 10 Maths NCERT Solutions?

Finding accurate and step by step Class 10 Maths Solutions can be really tough that is why Studyrankers experts have prepared them so you can get them easily without wasting your time. These solutions are arranged chapterwise and exercise wise as well. You can use these solutions to develop your skills and knowledge.

#### What is circumference of a circle?

The total length of boundary of a circle is called circumference of a circle.
Circumference of a circle = 2Ï€r; where 'r is radius of the circle.

#### What is an event in Probability?

The collection of some or all possible outcomes of a random experiment is called an event

#### How many chapters are there in Class 10 NCERT Maths textbook?

There are total 14 chapters in CBSE Class 10 NCERT Maths textbook as per session 2023-24. The chapters names are 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 - Areas related to Circles, Chapter 12 - Surface Areas and Volumes, Chapter 13 - Statistics and Chapter 14 - Probability.