NCERT Solutions for Class 10 Maths - Chapter wise Solutions
NCERT solutions for class 10 maths- CBSE NCERT solutions class 10 maths are going to help you crack board exams and make learning easier. NCERT Class 10 maths contain a total of 15 chapters and all the chapters are important to study. It is necessary to solve all the exercises including the additional exercises to get a good score. NCERT solutions for class 10 maths will help you understand each question in detail. By solving the entire NCERT maths using class 10 NCERT maths solutions and practising the previous 5 years' questions you can easily score well in board exams.
Latest Updates for CBSE Class 10th
- 05 May 2022:
- 28 Apr 2022:
CBSE Class 10, 12 exam term 2 2022 latest updates, check here.
- 22 Apr 2022:
CBSE Class 10 syllabus 2023 released for all subjects; Check complete syllabus here.
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Geometry and trigonometry are one of the most important chapters in this class as most of the students feel troubled in geometry and trigonometry. To save you from this trouble, here are the NCERT solutions class 10 maths. You can click on the chapter you wish to study below. Also, in order to study other subjects or even higher classes, you can take help from NCERT solutions that are answered using a step by step approach so that you do not miss any step while answering the problems in the examinations. If a student is good in class 10 maths then only a few additional things will be left to study. If you want to check the solutions for science or other subjects of class 10, then click on the link NCERT solutions for class 10.
|NCERT Syllabus For Class 10 Mathematics||NCERT Books For Class 10 Mathematics|
|NCERT Notes For Class 10 Mathematics||NCERT Exemplar Solutions For Class 10 Mathematics|
NCERT solutions for class 10 maths chapter wise
How to use NCERT solutions for class 10 maths?
- Go to the chapter that you wish to check.
- Click on the link given for that particular chapter of class 10 maths.
- The chapter page with solutions of NCERT class 10 maths will open.
- Check the questions and solutions given in the NCERT class 10 maths.
Chapter 1 Real Numbers: In NCERT solutions for Class 10 Maths Chapter 1, you are going to learn about Euclid’s Division Lemma and this concept is used to find the HCF, LCM, the relation between HCF and LCM and the fundamental theorem of arithmetic. Euclid’s Division Lemma will also be required if you want to prove that the given number is rational or irrational and the given rational number is terminating or non terminating repeating. There are many real-life examples of LCM and HCF mentioned in the NCERT solutions for class 10 maths. There are a total of 4 exercises with a total of 48 questions in this chapter.
Chapter 2 Polynomials: The NCERT solutions for Class 10 Maths Chapter 2 starts with an explanation of polynomials referring to the previous classes and then explains the geometrical interpretation of the zeroes of the polynomial. Then it gives the relation between zeroes and coefficient of a given polynomial and also explains how to carry out the polynomial divisions. You have to be good in class 9 maths chapter polynomial to beat this one. In NCERT solutions class 10 maths chapter 2 polynomials, step by step explanation is given in the answers of all 4 exercises including the optional exercise.
Chapter 3 Pair of Linear Equations in Two Variables: There are many real-life examples that can be formulated in linear equations in two variables. Let's take an example to understand: If a person buys some pens and pencils at a total of 41 Rs and the price of a pen and a pencil are 5 Rs and 4 Rs respectively. Then the statement can be represented as Many such problems are mentioned in the class 10 NCERT maths solutions. The NCERT solutions for Class 10 Maths Chapter 3 covers various algebraic methods to solve a given pair of linear equations and a geometrical way of solving the pair of linear equations.
Chapter 4 Quadratic Equations: We get a quadratic equation if a quadratic polynomial is equated to zero with the condition that the coefficient of the variable with power two is not equal to zero. The main content of the NCERT solutions for Class 10 Maths Chapter 4 includes the various methods of solving the quadratic equations and how to determine the consistency of quadratic equations from the value of discriminants. Every year around 8 to 10 marks questions come from this chapter only. In solutions of NCERT for class 10 maths chapter 4 quadratic equation, all the 4 exercises consisting of 46 questions are covered.
Chapter 5 Arithmetic Progressions: Any number series having the same difference between two immediate terms is called arithmetic progression. For example- 2, 5, 8, 11 is an arithmetic progression as the difference everywhere is 3. Every year around questions of 8 to 10 marks come from this chapter only. In this particular chapter, you will learn to solve questions related to nth /last term and questions related to the sum of an arithmetic progression. Also, some questions are based on the usage of both the concepts together. There are some real-life situations mentioned in the NCERT solutions for class 10 maths. Studying a chapter by correlating to real-life examples will be interesting. In NCERT solutions class 10 maths chapter 5 arithmetic progression, we are covering all the 4 exercises including an optional exercise.
Chapter 6 Triangles: A closed shape made using three straight lines is known as geometry. The NCERT Class 10 Chapter 6 starts with an explanation of the difference between the congruent figures and similar figures. In this particular chapter, we will learn the similarity of triangles, criteria for similarity, area of triangles and understanding of Pythagoras theorem using the similarity of triangles. There are many interesting examples that can be solved using the similarity of triangles. In the solutions of this particular chapter, you will get solutions to all the 6 exercises including optional exercise consisting of 90 questions.
Chapter 7 Coordinate Geometry: This is one of the chapters which you will use in almost all the areas your higher studies, whether it is science, commerce or arts. In class 10 maths, this chapter holds some specific kind of concepts and questions and if you do them well, then the things will become easy for you in the examination. The NCERT solutions for class 10 maths chapter 7 coordinate geometry include the distance formulae, section formulae and the concept of finding the area of triangles if the coordinate of the vertex is given. The NCERT solutions for Class 10 Maths Chapter 7 to all the 4 exercises including an optional exercise consisting total of 45 questions are explained in a step by step manner.
Chapter 8 Introduction to Trigonometry: The chapter has originated from the right angle triangle. The properties, formulas, and ratios of trigonometry can be derived using length, breadth, and height of the right-angle triangle. In this chapter, there are a total of 4 exercises and questions of these exercises are mainly based on finding trigonometric ratios of the sides of a right-angled triangle. The class 10 NCERT maths solutions of this chapter cover important concepts to find trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles and trigonometric identities.
Chapter 9 Some Applications of Trigonometry: This chapter is just an extension of the concepts used in chapter 8. This is the application based chapter which tells us the usage of trigonometry in real life. "Trigonometry" unit holds 12 marks out of 80 marks in the CBSE final maths paper and we can expect one question of 3 or 4 marks from this chapter. In NCERT solutions for Class 10 Maths Chapter 9, we will learn how trigonometry is helpful in finding the distance and height of different objects without actually measuring them. This chapter has only 1 exercise for which answers are there in solutions of NCERT for class 10 maths chapter 9 some applications of trigonometry.
Chapter 10 Circles: A circle is nothing but a closed figure with a collection of points in a plane that are at a specific distance (radius) from a fixed point (center). This chapter is an important part of geometry along with triangles. This chapter in class 10 maths is an extension of class 9 maths chapter circles. In this chapter, we will discuss tangent to a circle and number of tangents from a point on the circle. The chapter holds good weightage in the board examinations. Every year approximately 10 to 12 marks questions come from this chapter only. The solution of NCERT class 10 maths covers all 2 exercises consisting of overall 26 questions.
Chapter 11 Constructions: The NCERT solutions for Class 10 Maths Chapter 11, deals with the problem constructions. It is also known as a geometrical drawing which deals with constructing geometric figures using some specific geometric tools. It is a part of the geometry unit and geometry holds 15 marks in the final CBSE exams and construction is a scoring topic for students. In this chapter, there is a total of 2 exercises with 14 questions. In the first exercise, we will learn how to divide a line segment and in the second exercise, we will learn the construction of tangents to a circle.
Chapter 12 Areas Related to Circles: In this chapter, we will deal with areas related to circles. This chapter is a part of the Mensuration unit, which holds 10 marks in the CBSE Class 10 final exam. In this chapter, there are 3 exercises with 35 questions in them. In this chapter, we will learn the perimeter and area of a circle, areas of sector and segment of a circle, areas of combinations of plane figures. In NCERT solutions for class 10 maths chapter 12 areas related to circles, detailed solutions to each question are given.
Chapter 13 Surface Areas and Volumes: This comes under mensuration. We have already done some part of the mensuration in the class 9 maths. In NCERT solutions for Class 10 Maths Chapter 13, we will discuss how to find surface areas and volumes of combinations, which are formed by two or more than two of the basic solids such as cone, cuboid, cylinder, sphere, and hemisphere. Apart from all these shapes, a new shape frustum will be introduced here in this particular chapter. In this chapter, there are a total of 5 exercises with 38 questions in them. In all the exercises, we will deal with questions on finding surface areas and volumes of solids.
Chapter 14 Statistics: In the previous class, we have learned about data representation and have solved many calculations based questions on that. Statistics is also somehow related to data handling. In NCERT solutions for Class 10 Maths Chapter 14, the questions will be based on data and we will discuss how to find the measures of central tendency namely, mean, mode and median from the ungrouped data to that of grouped data. In this chapter, there are a total of 4 exercises with 25 questions. In NCERT Class 10 Maths Chapter 14 Statistics, you will also get to know about the concept of cumulative frequency, its distribution and how to draw cumulative frequency curves.
Chapter 15 Probability: Probability is one of the newest concepts you will learn here in class 10 mathematics. In the previous class, you have learned about empirical probabilities or experimental probabilities of events that are based on the results of actual experiments. In this NCERT class 10 maths, we will discuss the theoretical probability (also called classical probability) of an event, and solve simple questions based on this concept. In NCERT solutions for class 10 maths chapter 15 probability, solutions of 2 exercises including optional exercise consisting of overall 68 questions are covered.
How NCERT solutions for class 10 will be beneficial for you?
- NCERT solutions class 10 maths will help you in the completion of homework as well as for better scores in the board examinations.
- Using these solutions you can observe and learn the steps to solve some typical kind of questions.
- The class 10 NCERT maths solutions will help you in creating a strong base of mathematics and will help to face competitive examinations in the future.
- Along with maths, you can also learn the NCERT solution for class 10 science.
Frequently Asked Question (FAQs) - NCERT Solutions for Class 10 Maths - Chapter wise Solutions
Question: What are the important topics of NCERT Class 10 Maths
All the topics of Class 10 NCERT Maths are mportant. In the Class 10 Mathematics NCERT book there are 15 chapters. These chapters are fom Algebra, Geometry, Trigonometry, Statistics and Probability. All the topics of NCERT Class 10 Mathematics are important for the CBSE board exam as the syllabus of CBSE board is based on the NCERT Syllabus. To get a good score students can practise NCERT exemplar questions for Class 10 and also the previous year papers of the board exam.
Question: Is Class 10 Mathematics useful for higher studies
Yes, definitely NCERT class 10 Maths is useful for higher studies in the field of Mathematics, Science and Engineering. In Class 11 NCERT Mathematics the higher version of Arithmatic progression, Trigonometry , Statistics, Probability, Coordinate Geometry and Quadratic equations are studied.
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Questions related to CBSE Class 10th
When will cbse class 10 date will be out.
CENTRAL BOARD OF SECONDARY EDUCATION (CBSE) , CBSE is expected to declare the class 10 , part 2 soon at the official website of CBSE.
CBSE will release the final result along with the score of part 2 in their website ,which was held between April 24 to May 10 . Final marksheet will mention the pass or fail status of student with other details.
It is expected that CBSE will declare it's result in mid July .Once declared student's can check their result in CBSE website.
is there any cut off in 10th exam
CENTRAL BOARD OF SECONDARY EDUCATION (CBSE) , CBSE is expected to declare the class 10 , part 2 soon at the official website of CBSE.
CBSE will release the final result along with the score of part 2 in their website ,which was held between April 24 to May 10 .In Final marksheet you need to score minimum 33 percent to pass and that is the cutoff . Once declared you can see your result in CBSE website.
hi, i completed my 10th in 2015 ,i am trying 3 years to study but no guidense for me ,if any one plz help me to study
Hello,you completed your 10th in 2015 and it's been 6.5 years that you haven't opted for any further education .In my opinion you should take a admission in class 11th and chose a stream that interests you and you want to pursue your career in that respective field. Making a time table and studying your subjects regularly and managing things in a systematic and organized manner can help you ace your goals.You can also enroll yourself for some short term online courses that will enhance your intelligence and productivity.Well, most students consciously or subconsciously, get influenced by their parents, siblings or fellow peers.To be precise there’s an ocean of career choices today. Choosing the right career path amidst all of them right after 10th can be daunting.The only thing I would advice you is that do not choose your 11th stream just on the basis of marks scored in class 10th. Choose a stream/ subjects you like , which you feel fits you . Also have a short overview of the future aspect of that course.After 10 th the students has to make right decision making about his career Because it's more important to make right decision, one small mistakes will lead to bigger one in future. So just plan your career If diploma is not available then opt for right group in 11&12th. So , just make right career depends on what field of interest you have to. Take time , research in google about every career options, every degrees available, then find right degree relevant to your field of interest and go for it
when the class 10th term 2 result will be updated
Central Board of Secondary Education will announce the term 2 results 2022 in June 2022, tentatively. The CBSE 10th exams 2022 for term 2 has been commenced on April 26 and will conclude on May 24, 2022. CBSE result 2022 Class 10 term 2 will also be available on cbseresults.nic.in. The officials have not yet released the exact dates for the declaration of the results. Keep an eye on the official website or the link below for the latest information. It is expected that the results will be declared in this month itself.
sir, when will admission forms available for 11th std science??
Admission of 11th STD till now dates is not released you will come to know when it will released.
Till that time just utilise your vacation and enjoy it and for admission visit your state official website so you will come to know all updates and details of admission .
I hope this helps you