Chapterwise CBSE NCERT Solutions for Class 10 Maths updated for 2023-24 Session
NCERT Solutions of 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 CBSE Class 10 Maths NCERT Solutions.
Chapter Wise NCERT Solutions for Class 10 Maths
- 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
- Constructions (Not in Syllabus)
- Chapter 11- Areas Related to Circles
- Chapter 12- Surface Areas and Volumes
- Chapter 13- Statistics
- Chapter 14- Probability
NCERT Solutions for Class 10 Maths Exercise wise with Stepwise Solutions
- 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
- Constructions (Not in Syllabus)
- Chapter 11- Areas Related to Circles
- Chapter 12- Surface Areas and Volumes
- Chapter 13- Statistics
- Chapter 14- Probability
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers
NCERT Solutions for Class 10 Maths Chapter 1 Exercises |
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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
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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
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. 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
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, 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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 |
NCERT Solutions for Class 10 Maths 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.
Weightage of Marks Unit wise 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 |
Questions wise Marking Scheme for Mathematics Class 10
Types of Question |
Very Short Answer |
Short Answer-I |
Short Answer-II |
Long Answer |
Total Marks |
Percentage |
1 Marks |
2 Marks |
3 Marks |
4 Marks |
|||
Remembering : Exhibit memory of previously learned material by recalling facts, terms, basic |
6 |
2 |
2 |
1 |
20 |
25% |
Understanding : Demonstrate understanding of facts and ideas by organizing, comparing, |
6 |
1 |
1 |
3 |
23 |
29% |
Applying : Solve problems to new situations by applying acquired knowledge, facts, |
5 |
2 |
2 |
1 |
19 |
24% |
Analyzing : |
3 |
1 |
3 |
1 |
18 |
22% |
Total |
20*1=6 |
6*2=12 |
8*3=24 |
6*4=32 |
80 |
100% |
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.
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.
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.
Related Readings
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.
Frequently Asked Questions on Class 10 Geography NCERT Solutions
Where to find Class 10 Maths NCERT Solutions?
What is circumference of a circle?
Circumference of a circle = 2Ï€r; where 'r is radius of the circle.