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.
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.
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.
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NCERT Class 10 Maths Solutions for Chapter 1 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 2 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 3 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 4 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 5 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 6 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 7 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 8 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 9 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 10 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 11 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 12 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 13 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 14 |
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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.
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NCERT Class 10 Maths Solutions for Chapter 15 |
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NCERT Chapter 15 Class 10 Maths Ex 15.1 Solutions - 25 Questions NCERT Chapter 15 Class 10 Maths Ex 15.2 Solutions - 5 Questions |
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:
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.
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.
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.