Direct download of complete chapter-wise and exercise-wise NCERT solution for class 10 maths in pdf format. The questions are designed by experts in accordance with the latest syllabus.
Table of Contents
A maths problem can be solved in multiple different ways, so the solutions here are devised using a particular technique & set of formulas, but it is again advisable for students to try doing it with some other formulas, their techniques & implement their ideas if any.
Below is NCERT Class 10 Maths Solutions Chapter Wise. The solutions presented on this page are developed by a team of NCERT subject experts who have done thorough research before developing the solutions & are well versed with the topics.
Download NCERT Solutions for Class 10 Maths
Below are the solutions of all the individual chapters from 1 to 15 of NCERT Class 10 Maths which have been compiled together & put into a form of a table along with PDF download links.
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Here, in the solutions pdf, we have shown step-by-step solutions to each & every problem enabling the students to clearly understand the problem and also encouraging them to come up with their formulas, techniques & ideas to solve a problem.
NCERT Maths Book has various chapters that help students understand the concepts thoroughly. NCERT Class 10 Maths book has 15 chapters. Each chapter of NCERT Class 10 Maths textbook contains a variety of exercises enabling the students to get a strong grasp on every chapter & topic discussed in the chapter.
The solutions presented here are developed keeping in mind every kind of student & in the simplest possible way so that even a student who is scared of the subject can comprehend it easily.
CBSE NCERT Solutions of All Classes - Free PDF Download
Students can have access to solutions to check their answers for a better understanding of the topics. Solutions provide well-established steps to solve questions and rectify the queries. Below are the NCERT solutions for other classes.
- Download NCERT Solutions for Class 8
- Download NCERT Solutions for Class 10
- Download NCERT Solutions for Class 11
- Download NCERT Solutions for Class 12
About NCERT Class 10 Maths Chapter 1
A real number is any number we can think of which includes whole numbers (0,1,2, etc.), rational numbers (0.56,5/6, etc.), irrational numbers & doesn't include any imaginary number & infinity. The chapter contains solved examples followed by unsolved exercises for students to solve & practice.
Also, we will learn about many other topics, which are as follows:
- 1.1: Introduction
- 1.2: Euclid's Division Lemma
About NCERT Class 10 Maths Chapter 2
A polynomial is an algebraic expression that combines constants, variables & exponents combined by operators like addition, subtraction, multiplication, division. The main component of a polynomial is its degree which again classifies it into linear polynomial(power of 1), quadratic polynomial(power of 2), cubic polynomial(power of 3). Apart from these, we will come across many other topics based on which exercises will be present in the chapter.
The following are the topics covered in the chapter :
- 2.1: Introduction
- 2.2: Geometrical Meaning of the Zeros of a polynomial
- 2.3: Relationship between Zeroes & Coefficients of a polynomial
- 2.4: Division Algorithm for polynomials
About NCERT Class 10 Maths Chapter 3
In chapter 3, we will solve questions having different pairs of linear equations in two variables & see many other concepts apart from that. For example, a linear equation in two variables is an algebraic expression consisting of two variables, i.e., x,y with power 1. Also, we will learn how to solve a pair of equations graphically.
Some of the different topics covered in this chapter are as follows :
- 3.1: Introduction
- 3.2: Pair of Linear Equations in Two Variables
- 3.3: Graphical Method of Solution of a Pair of Linear Equations
- 3.4: Algebraic Methods of solving a pair of linear equations
- 3.4.1: Substitution Method
- 3.4.2: Elimination Method
- 3.4.3: Cross-Multiplication Method
- 3.5: Equations Reducible to a pair of linear equations in two variables
About NCERT Class 10 Maths Chapter 4
Chapter 4 focuses on quadratic equations & all other concepts associated with them will be discussed in detail based on which exercises will be given for students to work upon. A quadratic equation is an algebraic expression consisting of variables, constants & exponents with a power of 2.
Following are the different topics discussed in the chapter :
- 4.1: Introduction
- 4.2: Quadratic Equations
- 4.3: Solution of a Quadratic Equation by Factorization
- 4.4: Solution of a Quadratic Equation by Completing the Square
- 4.5: Nature of Roots
- 4.6: Summary
About NCERT Class 10 Maths Chapter 5
Arithmetic Progression is a series of numbers where the succeeding number is obtained by either adding or multiplying a fixed number with the preceding number. So, in this chapter, we will study different such patterns being followed in a series of numbers.
The following concepts are discussed in detail in the chapter :
- 5.1: Introduction
- 5.2 Arithmetic Progressions
- 5.3: nth term of an AP
- 5.4: Sum of first n terms of an AP
- 5.5: Summary
About NCERT Class 10 Maths Chapter 6
As the name says, in this chapter, we will be studying triangles & different concepts associated with them. A triangle is a plane figure having three sides & three angles. We will study figures similar to the triangle & different properties.
There are many topics & concepts covered in the chapter listed below:
- 6.1: Introduction
- 6.2: Similar Figures
- 6.3: Similarity of Triangles
- 6.4: Criteria for Similarity of Triangles
- 6.5: Areas of Similar Triangles
- 6.6: Pythagoras Theorem
- 6.7: Summary
About NCERT Class 10 Maths Chapter 7
Here in this chapter, we will understand what Coordinate Geometry means & will see many other concepts & topics associated with it. Coordinate Geometry, in simple terms, can be understood as plotting algebraic equations on a graph, i.e., on the x-axis & y-axis.
The concepts covered in the coordinate geometry chapter are as follows:
- 7.1: Introduction
- 7.2: Distance Formula
- 7.3: Section Formula
- 7.4: Area of a triangle
- 7.5: Summary
About NCERT Class 10 Maths Chapter 8
Trigonometry is the study of relationships between the angles and sides of a triangle. In this chapter, we will also come across concepts like trigonometric ratios, trigonometric identities, etc., which will be discussed in detail.
The following are the topics or concepts covered in the chapter :
- 8.1: Introduction
- 8.2: Trigonometric Ratios
- 8.3: Trigonometric Ratios of some specific angles
- 8.4: Trigonometric Ratios of Complementary Angles
- 8.5: Trigonometric Identities
- 8.6: Summary
About NCERT Class 10 Maths Chapter 9
Trigonometry is one of the most ancient concepts & a branch of mathematics that studies & deals with relations between sides & angles of a triangle. Here in this chapter, we will be coming across terms like "line of sight," "angle of elevation," "angle of depression" that form the basis of this chapter.
Some of the concepts & topics that will be discussed in detail in the chapter are as follows :
- 9.1: Introduction
- 9.2: Heights & Distances
- 9.3: Summary
About NCERT Class 10 Maths Chapter 10
In simple terms, a circle can be defined as a collection of points in a plane that are at a constant distance from a fixed point. Some very important terms related to a circle are segment, chord, sector, arc, etc. There are a few more important terms in a circle like a secant, tangent, etc., which will be discussed in detail in the chapter.
The topics & concepts that are mainly covered in the chapter are as follows:
- 10.1: Introduction
- 10.2: Tangent to a Circle
- 10.3: Number of tangents from a point on a circle
- 10.4: Summary
About NCERT Class 10 Maths Chapter 11
We are familiar with constructions using a compass, scale, protractor, etc. that we have learned earlier. Here we will be learning some more such constructions.
Let's see what all the chapter consists of :
- 11.1: Introduction
- 11.2: Division of a Line Segment
- 11.3: Construction of tangents to a circle
- 11.4: Summary
About NCERT Class 10 Maths Chapter 12
In a previous chapter, we already learned about Circles, what circles are & what they mean. In this chapter, we will study to find out the areas & perimeter of the circle & come across much more interesting concepts.
Some of the concepts & topics covered in this chapter are as follows :
- 12.1: Introduction
- 12.2: Perimeter & Area of a circle
- 12.3: Areas of sector & segment of a Circle
- 12.4: Areas of a combination of plane figures
- 12.5: Summary
About NCERT Class 10 Maths Chapter 13
Here in this chapter, we will be learning to find out surface areas & volumes of solids like a cylinder, cuboid, cone, sphere, etc. The chapter contains exercises with plenty of questions based on a particular topic.
The concepts & topics the chapter will be focussing on are,
- 13.1: Introduction
- 13.2: Surface Area of a combination of solids
- 13.3: Volume of a Combination of solids
- 13.4: Conversion of solid from one shape to another
- 13.5: Frustum of a cone
- 13.6: Summary
About NCERT Class 10 Maths Chapter 14
Statistics can be defined as studying & analyzing a set of data to draw general conclusions about that set of data. For example, we can calculate the mean, median, mode of a set of data. There are many other operations that we can perform on a set of data that we will broadly study in this chapter.
The following topics & concepts are covered in this chapter :
- 14.1: Introduction
- 14.2: Mean of Grouped Data
- 14.3: Mode of Grouped Data
- 14.4: Median of Grouped Data
- 14.5: Graphical Representation of Cumulative Frequency Distribution
- 14.6: Summary
About NCERT Class 10 Maths Chapter 15
In simple terms, we can say Probability is a measure used to calculate the chances of an event happening.
We will study & learn about the following concepts in the chapter:
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- 15.1: Introduction
- 15.2: Probability - A theoretical Approach
- 15.3: Summary
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