NCERT is the most important book for Class 10 students as the majority of questions come from it in the exam. Toppers also recommend NCERT as the goto textbook for Class 10. According to toppers, all the questions of NCERT must be solved.
EduRev provides solutions to all the chapters of Mathematics at one place. These solutions are great for the preparation of exams. The solutions are always updated to the latest edition of the book and contain all the answers to every single question in the textbook.
In the table given below links are provided to NCERT solutions to all the chapters of Mathematics.
NCERT Solutions Class 10 Mathematics All Chapters  
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 
Chapter 15  Probability 
In the first chapter of Class 10, students will learn about the different types of numbers, including real numbers and irrational numbers. The chapter starts by introducing the Euclid’s Division Lemma, which states “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”. The Euclid’s Division algorithm, which is used to find the highest common factor (HCF) of two positive integers, is based on this lemma. The chapter then defines the Fundamental Theorem of Arithmetic, which is used to determine both the HCF and least common multiple (LCM) of two positive integers. Finally, the concept of irrational numbers, rational numbers, and the decimal representation of rational numbers is explained through the use of this theorem.
Topics Covered in Class 10 Maths Chapter 1 Real Numbers :
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5
Also access the following resources for Class 10 Chapter 1 Real Numbers at EduRev:
CBSE Maths Notes for Class 10 Chapter 1  Real Numbers
NCERT Summaries for Class 10 Chapter 1  Real Numbers
RD Sharma Solutions Real Numbers Class 10
The Polynomials chapter starts with the definition of various types of polynomials, such as linear, quadratic, and cubic polynomials, based on their degree. The chapter consists of four exercises, including an optional one. The first exercise, 2.1, focuses on identifying the number of zeros of a polynomial through a graph and requires understanding of the geometric representation of the zeros. Exercise 2.2 deals with the relationship between the zeros and coefficients of a polynomial, where students have to determine the zeros of a quadratic polynomial and, in some cases, the quadratic polynomial itself. Exercise 2.3 covers the division algorithm, and students will solve problems related to it. The optional exercise, 2.4, encompasses questions from all the concepts discussed in Chapter 2.
Topics Covered in Class 10 Maths Chapter 2 Polynomials :
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
Also access the following resources for Class 10 Chapter 2 Polynomials at EduRev:
CBSE Maths Notes for Class 10 Chapter 2  Polynomials
NCERT Summaries for Class 10 Chapter 2  Polynomials
RD Sharma Solutions Polynomials Class 10
The chapter covers the topic of Pair of Linear Equations in Two Variables, and includes seven exercises that teach various methods of solving such equations. Exercise 3.1 teaches how to express situations algebraically and graphically. Exercise 3.2 demonstrates how to solve the pair of linear equations through the Graphical Method. The Algebraic Method, Elimination Method, CrossMultiplication Method, and Substitution Method are each described in exercises 3.3, 3.4, 3.5 and 3.6, respectively. The optional exercise 3.7 encompasses all types of questions related to solving linear equations. To master the different methods, students are advised to practice the exercises provided.
Topics Covered in Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables:
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.
Also access the following resources for Class 10 Chapter 3 Pair of Linear Equations in Two Variables at EduRev:
CBSE Maths Notes for Class 10 Chapter 3  Pair of Linear Equations in Two Variables
NCERT Summaries for Class 10 Chapter 3  Pair of Linear Equations in Two Variables
RD Sharma Solutions Pair of Linear Equations in Two Variables Class 10
In this chapter, students will get to know the standard form of writing a Quadratic Equation. The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method. The chapter ends with the topic on finding the nature of roots.
Topics Covered in Class 10 Maths Chapter 4 Quadratic Equations :
The standard form of a quadratic equation ax^{2} + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization and by using the quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to daytoday activities are to be incorporated.
Also access the following resources for Class 10 Chapter 4 Quadratic Equations at EduRev:
CBSE Maths Notes for Class 10 Chapter 4  Quadratic Equations
NCERT Summaries for Class 10 Chapter 4  Quadratic Equations
RD Sharma Solutions Quadratic Equations Class 10
The chapter introduces students to the topic of Arithmetic Progression (AP), and it has four exercises in total. Exercise 5.1 focuses on representing a situation as APs, determining the first term and common difference, and identifying if a series is an AP. Exercise 5.2 deals with finding the nth term of an AP. Exercise 5.3 involves finding the sum of the first n terms of an AP. The final exercise features more advanced questions based on AP to challenge students' problemsolving and analytical skills.
Topics Covered in Class 10 Maths Chapter 5 Arithmetic Progressions :
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.
Also access the following resources for Class 10 Chapter 5 Arithmetic Progressions at EduRev:
CBSE Maths Notes for Class 10 Chapter 5  Arithmetic Progressions
NCERT Summaries for Class 10 Chapter 5  Arithmetic Progressions
RD Sharma Solutions Arithmetic Progressions Class 10
Chapter 6 in Class 10 CBSE Maths covers the topic of Triangles, which are figures with the same shape but not necessarily the same size. The chapter starts with the definitions of similar and congruent figures, and goes on to explain the conditions for the similarity of two triangles and theorems associated with it. It also covers the topic of the areas of similar triangles, and concludes with an explanation of the Pythagoras Theorem and its converse.
Topics Covered in Class 10 Maths Chapter 6 Triangles :
Definitions, examples, and counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional, and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
Important Theorems –
Theorem 6.1: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
Theorem 6.2: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
Theorem 6.3: If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are similar.
Theorem 6.4: If in two triangles, the sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal, and hence the two triangles are similar.
Theorem 6.5: If one angle of a triangle is equal to one angle of the other triangle and the sides, including these angles, are proportional, then the two triangles are similar.
Theorem 6.6: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Theorem 6.7: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.
Theorem 6.8: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Theorem 6.9: In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
Also access the following resources for Class 10 Chapter 6 Triangles at EduRev:
CBSE Maths Notes for Class 10 Chapter 6  Triangles
NCERT Summaries for Class 10 Chapter 6  Triangles
RD Sharma Solutions Triangles Class 10
In this chapter of Coordinate Geometry, students will become familiar with finding the distance between two points based on their coordinates, calculating the area of a triangle formed by three points, and locating the coordinates of a point that divides a line segment in a specified ratio. The chapter will introduce the Distance Formula, Section Formula, and the formula for the Area of a Triangle.
Topics Covered in Class 10 Maths Chapter 7 Coordinate Geometry :
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).
Also access the following resources for Class 10 Chapter 7 Coordinate Geometry at EduRev:
CBSE Maths Notes for Class 10 Chapter 7  Coordinate Geometry
NCERT Summaries for Class 10 Chapter 7  Coordinate Geometry
RD Sharma Solutions Coordinate Geometry Class 10
In this chapter, students will be introduced to the topic of Trigonometry. They will learn about the ratios of a right triangle in relation to its acute angles, known as the trigonometric ratios of the angles. The chapter will define the trigonometric ratios for angles of 0 and 90 degrees. Additionally, students will be able to compute trigonometric ratios for specific angles and recognize trigonometric identities that involve these ratios.
Topics Covered in Class 10 Maths Chapter 8 Introduction to Trigonometry :
Trigonometric ratios of an acute angle of a rightangled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0^{o} and 90^{o}. Values of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.
TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin^{2}A + cos^{2}A = 1.
Also access the following resources for Class 10 Chapter 8 Introduction to Trigonometry at EduRev:
CBSE Maths Notes for Class 10 Chapter 8  Introduction to Trigonometry
NCERT Summaries for Class 10 Chapter 8  Introduction to Trigonometry
RD Sharma Solutions Introduction to Trigonometry Class 10
This chapter builds upon the previous one and focuses on the practical applications of Trigonometry. It is used in fields such as geography, navigation, cartography, and determining the location of an island in terms of longitudes and latitudes. Students will learn how Trigonometry can be used to determine the heights and distances of objects without physically measuring them. The chapter will introduce the concepts of line of sight, angle of elevation, and angle of depression.
Topics Covered in Class 10 Maths Chapter 9 Some Applications of Trigonometry:
Heights And Distances – Angle of elevation, Angle of Depression.
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.
Also access the following resources for Class 10 Chapter 9 Some Applications of Trigonometry at EduRev:
CBSE Maths Notes for Class 10 Chapter 9  Some Applications of Trigonometry
NCERT Summaries for Class 10 Chapter 9  Some Applications of Trigonometry
RD Sharma Solutions Some Applications of Trigonometry Class 10
In previous classes, students were introduced to the topic of circles and related terms, such as chords, segments, arcs, etc. In this chapter, the focus will be on the various scenarios that arise when a circle and a line exist in the same plane. Students will become proficient in the concept of a Tangent to a Circle and the number of Tangents that can be drawn from a single point on the circle.
Topics Covered in Class 10 Maths Chapter 10 Circles:
Tangent to a circle at point of contact
1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.
Important Theorems –
Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.
Theorem 10.2: The lengths of tangents drawn from an external point to a circle are equal.
Also access the following resources for Class 10 Chapter 10 Circles at EduRev:
CBSE Maths Notes for Class 10 Chapter 10  Circles
NCERT Summaries for Class 10 Chapter 10  Circles
RD Sharma Solutions Circles Class 10
This chapter contains two exercises to reinforce the students' learning. Prior knowledge of construction from previous classes will be useful. In Exercise 11.1, students will learn how to divide a line segment, and in Exercise 11.2, they will be studying the construction of tangents to a circle. The methods and steps for construction are clearly explained and illustrated with examples to make it easier for the students to understand.
Topics Covered in Class 10 Maths Chapter 11 Constructions :
1. Division of a line segment in a given ratio (internally).
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
Important Points –
Construction 11.1: To divide a line segment in a given ratio.
Construction 11.2: To construct a triangle similar to a given triangle as per the given scale factor.
Construction 11.3: To construct the tangents to a circle from a point outside it.
Also access the following resources for Class 10 Chapter 11 Constructions at EduRev:
CBSE Maths Notes for Class 10 Chapter 11  Constructions
NCERT Summaries for Class 10 Chapter 11  Constructions
RD Sharma Solutions Constructions Class 10
The chapter starts with the fundamentals of the perimeter and area of a circle. Building upon this knowledge, the chapter goes on to explain how to determine the area of a sector and segment of a circular region. Additionally, students will gain a clear understanding of finding the areas of various plane figures that involve circles or parts of circles.
Topics Covered in Class 10 Maths Chapter 12 Areas Related to Circles :
Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the abovesaid plane figures. (In calculating the area of segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only.
Important Formulas –
circumference = 2πr
area of the circle = πr^{ 2}
Area of the sector of angle θ = (θ/360) × π r^{2}
Length of an arc of a sector of angle θ = (θ/360) × 2 π r where r is the radius of the circle
Also access the following resources for Class 10 Chapter 12 Areas Related to Circles at EduRev:
CBSE Maths Notes for Class 10 Chapter 12  Areas Related to Circles
NCERT Summaries for Class 10 Chapter 12  Areas Related to Circles
RD Sharma Solutions Areas Related to Circles Class 10
Chapter 13 contains five exercises. Exercise 13.1 focuses on finding the surface area of objects that are formed by combining two of the basic solids: cuboid, cone, cylinder, sphere, and hemisphere. In exercise 13.2, the emphasis is on finding the volume of objects created by combining two of the aforementioned basic solids. Exercise 13.3 involves questions that involve converting a solid from one shape to another. The fourth exercise, 13.4, focuses on finding the volume, curved surface area, and total surface area of a frustum of a cone. The final exercise, which is optional, includes challenging questions that cover all the topics of this chapter.
Topics Covered in Class 10 Maths Chapter 13 Surface Areas and Volumes:
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
Important Formulas –
TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemisphere
Diameter of sphere = 2r
Surface area of sphere = 4 π r^{2}
Volume of Sphere = 4/3 π r^{3}
Curved surface area of Cylinder = 2 πrh
Area of two circular bases = 2 πr^{2}
Total surface area of Cylinder = Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr^{2}
Volume of Cylinder = π r^{2} h
Slant height of cone = l = √(r^{2} + h^{2})
Curved surface area of cone = πrl
Total surface area of cone = πr (l + r)
Volume of cone = ⅓ π r^{2} h
Perimeter of cuboid = 4(l + b +h)
Length of the longest diagonal of a cuboid = √(l^{2} + b^{2} + h^{2})
Total surface area of cuboid = 2(l×b + b×h + l×h)
Volume of Cuboid = l × b × h
Also access the following resources for Class 10 Chapter 13 Surface Areas at EduRev:
CBSE Maths Notes for Class 10 Chapter 12  Areas Related to Circles
NCERT Summaries for Class 10 Chapter 12  Areas Related to Circles
RD Sharma Solutions Areas Related to Circles Class 10
This chapter teaches students to convert ungrouped data into grouped data, and calculate the Mean, Mode and Median of the data. Students will also learn about cumulative frequency, cumulative frequency distribution and how to construct cumulative frequency curves.
Topics Covered in Class 10 Maths Chapter 14 Statistics :
Mean, median and mode of grouped data (bimodal situation to be avoided).
Also access the following resources for Class 10 Chapter 14 Statistics at EduRev:
CBSE Maths Notes for Class 10 Chapter 14  Statistics
NCERT Summaries for Class 10 Chapter 14  Statistics
RD Sharma Solutions Statistics Class 10
The final chapter focuses on Probability. It starts by introducing the theoretical concept of probability and goes on to explain the distinction between experimental probability and theoretical probability. The chapter includes several examples to help students better understand the topic. Therefore, it is recommended that students complete the examples in CBSE Maths before attempting the exercise problems.
Topics Covered in Class 10 Maths Chapter 15 Probability:
Classical definition of probability. Simple problems on finding the probability of an event.
Also access the following resources for Class 10 Chapter 15 Probability at EduRev:
CBSE Maths Notes for Class 10 Chapter 15  Probability
NCERT Summaries for Class 10 Chapter 15  Areas Related to Circles
RD Sharma Solutions Areas Related to Circles Class 10
Let’s discuss how NCERT solutions are helpful in your exam preparation:
NCERT Solutions of Class 10 Maths is an ideal resource for students to help them prepare for their board exams. EduRev provides comprehensive solutions to all the questions in the NCERT. These solutions are designed as per the NCERT curriculum and can help students instantly solve their doubts. The features of these solutions are given below:
Exhaustive Coverage: The solutions cover all questions and examples given in the NCERT textbook, ensuring comprehensive preparation for exams.
Interactive Format: The solutions are presented in an interactive format, with images and graphs to help students visualize and understand complex concepts.
Regular Updates: The solutions are regularly updated to align with changes in the NCERT curriculum and to ensure accuracy.
Prepared by Experts: The solutions are prepared by subject matter experts and are reviewed for accuracy before being published.
In addition to using NCERT Class 10 Maths Solutions, students in Class 10 should also consider using other resources such as the NCERT Class 10 Maths Exemplar, NCERT textbooks, and NCERT summaries to supplement their studies. These materials are aligned with the CBSE Class 10 Maths syllabus and can be helpful for exam preparation. It is recommended that students review these materials after completing the entire syllabus to aid in revision before the exam. The links to these resources are provided below:
If you need a complete course for your Class 10 preparation, do check out EduRev Infinity for Class 10. EduRev Infinity is more about quality than quantity, if we have to put a number, you would get around 30+ EduRev courses, which includes 500+ tests, 900+ docs, and 400+ videos and so much more!
NCERT is the perfect textbook for Class 10 Maths preparation as most of the questions come from it. Questions from NCERT textbook and NCERT Exemplar should be solved completely and all the topics should be thoroughly covered. Toppers also recommend NCERT for Maths exam preparation.
NCERT is the best book for preparation for Class 10. NCERT books are an essential resource for preparing for the Class 10 Maths exam, as a significant portion of the questions are often taken from these books. It is important for students to carefully read and understand the material presented in the NCERT textbooks and Exemplar, covering all questions thoroughly. After studying from NCERT, you can also study from RD Sharma to practise different types of questions. The perfect solutions for RD Sharma are available on EduRev.
The latest Class 10 Maths syllabus includes a total of 15 chapters from NCERT, and NCERT Solutions for Class 10 Maths are an excellent resource to help you easily understand all of these chapters. You can access the NCERT Solutions for Class 10 Maths from EduRev at this link, allowing you to take advantage of expert guidance as you prepare for your exams. These solutions can help shape your exam preparation and give a strong foundation in the subject.
A significant number of the questions on the Class 10 Maths exam are typically taken from NCERT Solutions. As they work through the textbook questions, students can refer to the solutions provided by EduRev's faculty to gain a better understanding of the concepts. These solutions are written in a way that makes it easy for students to comprehend difficult topics. Students can access the solutions both online and offline at any time, making them a convenient resource for exam preparation.

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