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NCERT Class 10 Maths Solutions 

The askIITians Maths experts have prepared NCERT Class 10 Maths Solutions with easy explanations. These chapter-wise solutions are a free guide for the students that help in solving all the exercise questions easily. You can download the NCERT Solutions in PDF form and use them whenever you are studying. Learn at your own pace and convenience without wasting any time in searching for how to solve an NCERT question.  

NCERT Maths Solutions can help Class 10 students in many ways such as: 

  • Preparing for end-term exams and board examination 
  • Understanding Maths concepts for Class 10 Maths board exam 
  • Preparing a solid foundation for competitive exams like JEE and NEET 
  • Ensuring a solid foundation for Class 11 Maths 
  • Increasing theoretical and practical knowledge of Maths concepts 

Free NCERT Class 10 Maths Solutions from askIITians 

Class 10 Maths syllabus includes 15 chapters on topics like polynomials, real numbers, quadratic equations, circles, linear equations in two variables, coordinate geometry, etc. The NCERT chapters help in building a strong foundation of the concepts so that you can prepare well for competitive exams and olympiads. The Class 10 Maths board exam is also based on NCERT concepts only. So, it is important for students to practise all the NCERT Class 10 Maths Solutions. Given below are the links from where you can download chapter-wise NCERT Class 10 Maths Solutions from askIITians. 

NCERT Class 10 Maths Solutions | Chapter 1 - 15 

 

Download NCERT Class 10 Maths Solutions for Chapter 1 Real Numbers

Chapter 1 Real Numbers of Class 10 Maths is based on some very important topics like Euclid’s Division Lemma, Rational and Irrational Numbers, and the Fundamental Theorem of Arithmetic. Questions in this chapter are based on finding the HCF and LCM of given integers, proving that the given numbers are irrational, and identifying whether the given numbers have a terminating decimal expansion or a non-terminating repeating decimal expansion without actually dividing the numbers. 

NCERT Class 10 Maths Solutions for Chapter 1 

NCERT Chapter 1 Class 10 Maths Ex 1.1 Solutions - 5 Questions

NCERT Chapter 1 Class 10 Maths Ex 1.2 Solutions - 7 Questions

NCERT Chapter 1 Class 10 Maths Ex 1.3 Solutions - 3 Questions

NCERT Chapter 1 Class 10 Maths Ex 1.4 Solutions - 3 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 2 Polynomials

Chapter 2 Polynomials of Class 10 Maths is based on zeros of a polynomial, the relationship between zeros and the coefficients of a polynomial, and the division algorithm for polynomials. The NCERT questions of this chapter include finding the number of zeros of the given polynomial functions, finding the zeros of quadratic polynomials and verifying the relation between the zeros and the coefficients, dividing the polynomials and finding their quotient and remainder. 

NCERT Class 10 Maths Solutions for Chapter 2

NCERT Chapter 2 Class 10 Maths Ex 2.1 Solutions - 1 Questions

NCERT Chapter 2 Class 10 Maths Ex 2.2 Solutions - 2 Questions

NCERT Chapter 2 Class 10 Maths Ex 2.3 Solutions - 5 Questions

NCERT Chapter 2 Class 10 Maths Ex 2.4 Solutions - 5 Questions

 

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

Chapter 3 of Class 10 Maths includes topics like solving pairs of linear equations in two variables using the graphical method, substitution method, elimination method, and cross-multiplication method and reducing equations to a pair of linear equations in two variables. The exercise questions include representing the given situations graphically, finding whether the given pair of linear equations intersect at a point, parallel or coincident and finding the solutions of the given linear equations using different methods. 

NCERT Class 10 Maths Solutions for Chapter 3 

NCERT Chapter 3 Class 10 Maths Ex 3.1 Solutions - 3 Questions

NCERT Chapter 3 Class 10 Maths Ex 3.2 Solutions - 7 Questions

NCERT Chapter 3 Class 10 Maths Ex 3.3 Solutions - 3 Questions

NCERT Chapter 3 Class 10 Maths Ex 3.4 Solutions - 2 Questions

NCERT Chapter 3 Class 10 Maths Ex 3.5 Solutions - 4 Questions

NCERT Chapter 3 Class 10 Maths Ex 3.6 Solutions - 2 Questions

NCERT Chapter 3 Class 10 Maths Ex 3.7 Solutions - 8 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 4 Quadratic Equations

Chapter 4 of Class 10 Maths is about quadratic equations. In this chapter, you will study how to find the solution to a quadratic equation using factorisation and completing the square methods. You will also learn how to identify the nature of the roots of a quadratic equation. The exercise questions of this chapter include finding if the roots are real. There are word problems type questions where you have to create quadratic equations based on the given situation. 

NCERT Class 10 Maths Solutions for Chapter 4

NCERT Chapter 4 Class 10 Maths Ex 4.1 Solutions - 2 Questions

NCERT Chapter 4 Class 10 Maths Ex 4.2 Solutions - 6 Questions

NCERT Chapter 4 Class 10 Maths Ex 4.3 Solutions - 11 Questions

NCERT Chapter 4 Class 10 Maths Ex 4.4 Solutions - 5 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 5 Arithmetic Progressions

Chapter 5 of the Class 10 Maths NCERT textbook is about arithmetic progressions. In this chapter, you study how arithmetic progressions are formed, the first n terms of an arithmetic progression, and the common difference. In some questions, you have to identify if the given sequences are in the form of an AP or not. It also includes finding the nth term of an arithmetic progression and the sum of n terms in an arithmetic progression. In some questions, you are given word problems where you have to form the arithmetic progression by yourself and find the required terms. 

NCERT Class 10 Maths Solutions for Chapter 5

NCERT Chapter 5 Class 10 Maths Ex 5.1 Solutions - 4 Questions

NCERT Chapter 5 Class 10 Maths Ex 5.2 Solutions - 20 Questions

NCERT Chapter 5 Class 10 Maths Ex 5.3 Solutions - 20 Questions

NCERT Chapter 5 Class 10 Maths Ex 5.4 Solutions - 5 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 6 Triangles

In chapter 6 of Class 10 Maths, you will study the congruence of figures. You will learn how to find out whether the given triangles are similar or not. This chapter also includes various theorems based on the similarity of triangles and areas of similar triangles. You will also learn about the Pythagorean Theorem. You must revise all the theorems of the chapter before you start solving the NCERT exercises of the chapter. 

NCERT Class 10 Maths Solutions for Chapter 6

NCERT Chapter 6 Class 10 Maths Ex 6.1 Solutions - 3 Questions

NCERT Chapter 6 Class 10 Maths Ex 6.2 Solutions - 10 Questions

NCERT Chapter 6 Class 10 Maths Ex 6.3 Solutions - 16 Questions

NCERT Chapter 6 Class 10 Maths Ex 6.4 Solutions - 9 Questions

NCERT Chapter 6 Class 10 Maths Ex 6.5 Solutions - 17 Questions 

NCERT Chapter 6 Class 10 Maths Ex 6.6 Solutions - 10 Questions 

 

Download NCERT Class 10 Maths Solutions for Chapter 7 Coordinate Geometry

Chapter 7 Coordinate Geometry of Class 10 Maths includes topics like the distance formula where you will be given the points and their different coordinates and you have to find the distance between them. You will also learn the section formula and how to find the area of a triangle. The exercise questions include word problems where you are given the coordinates of different points. 

NCERT Class 10 Maths Solutions for Chapter 7

NCERT Chapter 7 Class 10 Maths Ex 7.1 Solutions - 10 Questions

NCERT Chapter 7 Class 10 Maths Ex 7.2 Solutions - 10 Questions

NCERT Chapter 7 Class 10 Maths Ex 7.3 Solutions - 5 Questions

NCERT Chapter 7 Class 10 Maths Ex 7.4 Solutions - 8 Questions

 

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

Chapter 8 of the Class 10 Maths NCERT textbook introduces you to the concepts of trigonometry. In this chapter, you will study trigonometric ratios, trigonometric ratios of specific angles, trigonometric ratios of complementary angles, and trigonometric identities. Trigonometry is an important topic from the board exams as well as competitive exams like JEE and NEET. You must solve all the exercise questions of the chapter carefully. 

NCERT Class 10 Maths Solutions for Chapter 8

NCERT Chapter 8 Class 10 Maths Ex 8.1 Solutions - 11 Questions

NCERT Chapter 8 Class 10 Maths Ex 8.2 Solutions - 4 Questions

NCERT Chapter 8 Class 10 Maths Ex 8.3 Solutions - 7 Questions

NCERT Chapter 8 Class 10 Maths Ex 8.4 Solutions - 5 Questions

 

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

Chapter 9 of the Class 10 Maths NCERT book relates to the applications of trigonometry. This chapter deals with an important concept of heights and distances. It is a guarantee that you will get at least two questions of heights and distances in your Class 10 CBSE board exam. 

NCERT Class 10 Maths Solutions for Chapter 9

NCERT Chapter 9 Class 10 Maths Ex 9.1 Solutions - 16 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 10 Circles

Chapter 10 Circles of Class 10 Maths includes two main topics - tangents to a circle and number of tangents from a point on a circle. You will study the basic geometry of circles like chords, arcs, tangents, and construction. This chapter forms the basis of advanced concepts like a parabola, hyperbola, and ellipse in Class 11 and Class 12 Maths. 

NCERT Class 10 Maths Solutions for Chapter 10 

NCERT Chapter 10 Class 10 Maths Ex 10.1 Solutions - 4 Questions

NCERT Chapter 10 Class 10 Maths Ex 10.2 Solutions - 13 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 11 Constructions

In chapter 11 Constructions, you will study how to divide a line segment in a given ratio, how to construct a triangle similar to a given triangle and how to construct tangents on a circle. This chapter gives you a good understanding of how to handle geometry instruments like a compass, protractor, ruler, etc. Our NCERT Solutions for the chapter include step by step instructions about how to draw the given geometric figures.

NCERT Class 10 Maths Solutions for Chapter 11

NCERT Chapter 11 Class 10 Maths Ex 11.1 Solutions - 7 Questions

NCERT Chapter 11 Class 10 Maths Ex 11.2 Solutions - 7 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 12 Areas Related to Circles

Chapter 12 Areas Related to Circles is another important topic that you must prepare thoroughly for Class 10 board exams as well as competitive exams like JEE and NEET. The chapter begins with a review of the area and perimeter of a circle and then extends to advanced topics like area of segment and sector of a circle and area of combinations of plane figures. Chapter 10 Circles forms the base of this chapter so make sure you have solved its NCERT exercises before this chapter. 

NCERT Class 10 Maths Solutions for Chapter 12

NCERT Chapter 12 Class 10 Maths Ex 12.1 Solutions - 5 Questions

NCERT Chapter 12 Class 10 Maths Ex 12.2 Solutions - 14 Questions

NCERT Chapter 12 Class 10 Maths Ex 12.3 Solutions - 16 Questions

 

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

You must have studied how to find the surface area and volume of cubes, cuboids and cylinders. But in Chapter 13 of Class 10 Maths, you will study how to find the surface areas and volumes of combinations of solids. This chapter also includes finding areas and volumes while converting one solid shape into another. The last topic of this chapter is the frustum of a cone which is an important and new concept in Class 10 Maths. This chapter includes a lot of calculations, so you must match your answers with our NCERT Class 10 Maths Solutions. 

NCERT Class 10 Maths Solutions for Chapter 13

NCERT Chapter 13 Class 10 Maths Ex 13.1 Solutions - 9 Questions

NCERT Chapter 13 Class 10 Maths Ex 13.2 Solutions - 8 Questions

NCERT Chapter 13 Class 10 Maths Ex 13.3 Solutions - 9 Questions

NCERT Chapter 13 Class 10 Maths Ex 13.4 Solutions - 5 Questions

NCERT Chapter 13 Class 10 Maths Ex 13.5 Solutions - 7 Questions 

 

Download NCERT Class 10 Maths Solutions for Chapter 14 Statistics

Statistics is an important concept for higher classes and even for college students. So, you must form a solid understanding of this chapter in Class 10. In this chapter, you study how to find the mean, median and mode of grouped data along with the graphical representation of cumulative frequency distribution. This chapter helps in enhancing your interpretation and problem-solving skills. 

NCERT Class 10 Maths Solutions for Chapter 14

NCERT Chapter 14 Class 10 Maths Ex 14.1 Solutions - 9 Questions

NCERT Chapter 14 Class 10 Maths Ex 14.2 Solutions - 6 Questions

NCERT Chapter 14 Class 10 Maths Ex 14.3 Solutions - 7 Questions

NCERT Chapter 14 Class 10 Maths Ex 14.4 Solutions - 3 Questions

 

Download NCERT Class 10 Maths Solutions for Chapter 15 Probability

The last chapter of Class 10 Maths is probability. It is an important concept that you will study in higher classes as well. It includes topics such as experimental and theoretical probability, the formula for finding the theoretical probability, sure events, impossible events, and elementary events. 

NCERT Class 10 Maths Solutions for Chapter 15

NCERT Chapter 15 Class 10 Maths Ex 15.1 Solutions - 25 Questions

NCERT Chapter 15 Class 10 Maths Ex 15.2 Solutions - 5 Questions

Benefits of NCERT Class 10 Maths Solutions 

NCERT Solutions for Class 10 Maths created by askIITians are the best study material available online for your assistance. Just download the solutions and refer to them whenever you need them. Here are some of the top features of our NCERT Maths Solutions that will help you excel in board exams:

  • Every NCERT question is solved in a stepwise manner for complete understanding. 
  • Every solution includes clear explanations to help you understand the concepts well. 
  • The NCERT Solutions are updated as per the latest CBSE curriculum and exam pattern. 
  • You can use NCERT Solutions to brush up on all the topics before exams and revise the concepts quickly. 
  • The solutions are easy to navigate and are organised exercise-wise for easy access. 
  • You can download the Class 10 Maths Solutions for free and refer to them from anywhere at any time. 
  • You can refer to NCERT Solutions whenever you get stuck on any question or have a doubt about any concept. 

Expert Tips to Utilise NCERT Class 10 Maths Solutions for Board Exam Preparation 

Class 10 is an important milestone in every student’s life and Maths is a subject dreaded by many students in Class 10. But, with the help of askIITians NCERT Solutions, students can master the Maths subject in no time. Here are some expert tips from askIITians Maths teachers to help you utilise the NCERT solutions properly: 

  • Practise the NCERT exercise questions regularly. Being regular helps you consistently master the concepts without getting stressed. Take notes while solving the questions and use them in revision. 
  • Practise all the NCERT exercise questions for Class 10 Maths because the CBSE board exam paper is based on the NCERT textbook only. 
  • If you have any doubts, just refer to our NCERT Class 10 Maths solutions and learn how to solve the questions correctly. 
  • Refer to other study materials like revision notes, sample papers, previous year question papers, daily worksheets, mind maps and flashcards prepared by us and solidify your conceptual understanding of the chapters. 

NCERT Class 10 Maths Solutions FAQs

  1. Is Class 10 Maths difficult? 

No, if you practise every concept using NCERT questions and solved examples, no concept would seem difficult to you in the exam. The CBSE board exam paper for Class 10 Maths is generally based on NCERT questions only. 

  1. Is NCERT enough for Class 10 board exam preparation?

Yes, NCERT questions are enough for students to prepare for board exams. The NCERT textbook includes all the fundamental concepts that help in forming a strong conceptual foundation for advanced level concepts. However, you must practice questions regularly and improve your problem-solving speed. 

  1. How many chapters are there in NCERT Class 10 Maths Solutions? 

There are 15 chapters in the NCERT Class 10 Maths book. We have provided exercise solutions for all the NCERT Chapters. Download them for free from our website. 


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