# NCERT Solutions for Class 10 Maths

CBSE**NCERT Solutions for Class 10 Maths**is arranged through and 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

**Class 10 Maths NCERT Solutions**.

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.

Here you can find

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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:

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**NCERT Solutions for Class 10 Maths in PDF format**that will help in framing own NCERT Class 10 Maths Questions and answers easily. You can also download CBSE Class 10 Maths questions and answers and use whenever you need. Maths is one of the main subjects for Class 10th students. Maths NCERT Textbook will help in building fundamentals in the subject. You need to solve the exercises given between the chapters. If you're facing any problem while solving any question in the exercises then you can take help from this page. The answer of each chapter is provided in the list. You only need to select the required chapter from the list and start reading.## Chapterwise NCERT Solutions for Class 10 Maths

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

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**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 Solutions**. These NCERT questions are important for the purpose of examinations and also help in developing your knowledge. Class 10 Maths NCERT Solutions will prove a useful guide in the development of problem solving skills and knowing how to use formulas effectively. We will start with number system and then move towards algebra. After which we will study coordinate geometry. We will also study concepts of trigonometry and mensuration. Lastly, we will study Statistics and Probability.

### NCERT Solutions for Class 10 Maths 2021-22

It is important to note that in 2020-21 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 Syllabus 2021-22 in order to know detailed syllabus and exam pattern.

These NCERT Solutions are curated by the experts in a comprehensive which can be helpful in clearing your doubts instantly. It will make you well versed in variety of topics and you will be able to instantly recollect your ideas and shape your answers. Students should also refer previous year questions and practise test papers and worksheets to assess their key areas.

__Chapter 1 - Real Numbers__

In Chapter 1 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 |
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Exercise 1.1 Exercise 1.2 Exercise 1.3 Exercise 1.4 |

__Chapter 2 - Polynomials__

The 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 Class 10 Maths below.

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

__Chapter 3 - Pair of Linear Equations in Two Variables__

There are 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 first question has two problems while in the second and third you have to compare the ratios of the pair of linear equations. In the fourth question, you have to find whether pairs of linear equations are consistent or inconsistent. The fifth question is a word problem and in the sixth question, we have to find another linear equation in two variables. In the last question, you have to draw the graphs of the equations. 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'. The third question has six world problems. The fourth exercise has two questions. 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 |
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Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.5 Exercise 3.6 Exercise 3.7 |

__Chapter 4 - Quadratic Equations__

This chapter 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 |
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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 |

__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. 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 |
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Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.4 |

__Chapter 6 - Triangles__

There are six exercises including one optional having different set of questions based on the properties of 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 |
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Exercise 6.1 Exercise 6.2 Exercise 6.3 Exercise 6.4 Exercise 6.5 Exercise 6.6 |

__Chapter 7 - Coordinate Geometry__

There are four exercises in the chapter. 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 |
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Exercise 7.1 Exercise 7.2 Exercise 7.3 Exercise 7.4 |

__Chapter 8 - Introduction to Trigonometry__

There are four exercises consisting of various questions mainly on finding trigonometric ratios. 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 |
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Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.4 |

__Chapter 9 - Some Applications of Trigonometry__

There is 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. In Chapter 9, students should use trigonometry to find the heights and distances of various objects, without actually measuring them.

NCERT Solutions for Class 10 Maths Chapter 9 Exercises |
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Exercise 9.1 |

__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, segement etc. The chapter 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 |
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Exercise 10.1 Exercise 10.2 |

__Chapter 11 - Constructions__

In this chapter, 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 Chapter 11 Exercises |
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Exercise 11.1 Exercise 11.2 |

__Chapter 12 - Areas related to Circles__

Three exercises cover questions of the area of a circle and finding the areas of two special ‘parts’ of a circular region.

NCERT Solutions for Class 10 Maths Chapter 3 Exercises |
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Exercise 12.1 Exercise 12.2 Exercise 12.3 |

__Chapter 13 - Surface Areas and Volumes__

In this chapter, 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 13 Exercises |
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Exercise 13.1 Exercise 13.2 Exercise 13.3 Exercise 13.4 Exercise 13.5 |

__Chapter 14 - Statistics__

There are total four exercises in 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 14 Exercises |
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Exercise 14.1 Exercise 14.2 Exercise 14.3 Exercise 14.4 |

__Chapter 15 - Probability__

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

NCERT Solutions for Class 10 Maths Chapter 15 Exercises |
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Exercise 15.1 Exercise 15.2 |

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.

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

Maths is somewhat different from other subjects. Rote learning is not going to help you in improving your score so you should concentrate more on practice. NCERT Solutions for Class 10 will help you in building basic skills through which you can prepare yourselves for CBSE Class 10 board exams but that is not sufficient if you want to pursue more. You must have clear understanding of concepts before going for higher level of books like RD Sharma and Class 10 Maths NCERT Solutions will help you in this. Other than this, if you want to prepare for entrance exams then you must solve CBSE Classs 10 Maths textbook 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.

Maths is a subject of practice so you must try not to repeat the mistakes that you have done in the exam earlier and to learn from those mistakes. In order to improve your score you should learn time management as time is the greatest wealth and students should understand the value of time and manage the time using it to its fullest. NCERT Solutions for Class 10 Maths 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. Hear your inner voice. Make yourself realize how important this exam is for you. In this way, when you thicken yourself, energy will come from inside you which will help you in studying.

**Why choose Studyrankers?**

Studyrankers team also prepared videos, colourful textbooks and MCQs from every topics that you can access on the app which will improve your skills a lot. It will guide you in how to achieve more marks and solve problems easily so you can prepare efficiently for the examinations. It will supplement your schools studies just like any other coaching classes. You can offline save NCERT Solutions and Notes so you can study at your own terms. The animated videos will entertain and make you understand at the same time. It do not feel study is burden for you.

These Class 10 Maths NCERT Solutions will help you in grasping the concepts easily and enrich you with extensive knowledge which will be fruitful in upcoming higher classes and competitive exams like JEE, NEET. Some questions can be uncongenial but you should not afraid and look through the extensive solutions and prepare yourselves. As you already knowing, there are total 15 chapters in the textbook so you must understand the previous chapter clearly before stepping further. It will enrich you and provide substantive guidelines which you can utilize in the next chapters. When many times you are unable to make up your mind towards studies, then take recourse to Motivation to energize yourself again. Motivation has a lot of power and it empowers every person to do something from inside. However, you must practice more and more questions which will boost your confidence.

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.

#### 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.

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 15 chapters in CBSE Class 10 NCERT Maths textbook as per session 2021-22. 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 - Constructions, Chapter 12 - Areas related to Circles, Chapter 13 - Surface Areas and Volumes, Chapter 14 - Statistics and Chapter 15 - Probability.