# NCERT Solutions for Class 10 Maths

## Mathematics Textbook for Class 10

Author: NCERT
Publisher: NCERT
Language: English

Shaalaa provides solutions for NCERT Class 10 and has all the answers for the questions given in Mathematics Textbook for Class 10. Shaalaa is surely a site that most of your classmates are using to perform well in exams.

You can solve Mathematics Textbook for Class 10 textbook questions and use Shaalaa NCERT Solutions for Class 10 Maths to verify your answers.

## Chapters covered in NCERT Solutions for Class 10 Maths

### NCERT Class 10 Mathematics (10th) Chapter 1: Real Numbers solutions

Concepts covered in Real Numbers are Concept of Irrational Numbers, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Fundamental Theorem of Arithmetic Motivating Through Examples, Introduction of Real Numbers, Proofs of Irrationality, Real Numbers Examples and Solutions, Revisiting Rational Numbers and Their Decimal Expansions

#### NCERT Class 10 Mathematics (10th) Chapter 1: Real Numbers exercises

ExerciseNo. of questionsPages
Exercise 1.177
Exercise 1.21511
Exercise 1.3514
Exercise 1.42317 to 18

### NCERT Class 10 Mathematics (10th) Chapter 2: Polynomials solutions

Concepts covered in Polynomials are Concept of Polynomials, Division Algorithm for Polynomials, Geometrical Meaning of the Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Polynomial

#### NCERT Class 10 Mathematics (10th) Chapter 2: Polynomials exercises

ExerciseNo. of questionsPages
Exercise 2.1628
Exercise 2.21233
Exercise 2.31136
Exercise 2.4636 to 37

### NCERT Class 10 Mathematics (10th) Chapter 3: Pair of Linear Equations in Two Variables solutions

Concepts covered in Pair of Linear Equations in Two Variables are Algebraic Conditions for Number of Solutions, Consistency of Pair of Linear Equations, Cross - Multiplication Method, Elimination Method, Equations Reducible to a Pair of Linear Equations in Two Variables, Graphical Method of Solution of a Pair of Linear Equations, Inconsistency of Pair of Linear Equations, Linear Equation in Two Variables, Pair of Linear Equations in Two Variables, Relation Between Co-efficient, Simple Situational Problems, Substitution Method

#### NCERT Class 10 Mathematics (10th) Chapter 3: Pair of Linear Equations in Two Variables exercises

ExerciseNo. of questionsPages
Exercise 3.1344
Exercise 3.21749 to 50
Exercise 3.31353 to 54
Exercise 3.4956 to 57
Exercise 3.51262 to 63
Exercise 3.61167
Exercise 3.71268

### NCERT Class 10 Mathematics (10th) Chapter 4: Quadratic Equations solutions

Concepts covered in Quadratic Equations are Application of Quadratic Equation, Nature of Roots of a Quadratic Equation, Quadratic Equations, Relationship Between Discriminant and Nature of Roots, Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated, Solutions of Quadratic Equations by Completing the Square, Solutions of Quadratic Equations by Factorization

#### NCERT Class 10 Mathematics (10th) Chapter 4: Quadratic Equations exercises

ExerciseNo. of questionsPages
Exercise 4.11273 to 74
Exercise 4.21176
Exercise 4.31887 to 88
Exercise 4.4891

### NCERT Class 10 Mathematics (10th) Chapter 5: Arithmetic Progressions solutions

Concepts covered in Arithmetic Progressions are Application in Solving Daily Life Problems, Arithmetic Progression, Arithmetic Progressions Examples and Solutions, Derivation of the n th Term, General Term of an Arithmetic Progression, nth Term of an AP, Sum of First n Terms of an AP

#### NCERT Class 10 Mathematics (10th) Chapter 5: Arithmetic Progressions exercises

ExerciseNo. of questionsPages
Exercise 5.12899 to 100
Exercise 5.230105 to 107
Exercise 5.334112 to 114
Exercise 5.45115

### NCERT Class 10 Mathematics (10th) Chapter 6: Triangles solutions

Concepts covered in Triangles are Angle Bisector, Application of Pythagoras Theorem in Acute Angle and Obtuse Angle, Areas of Similar Triangles, Basic Proportionality Theorem Or Thales Theorem, Criteria for Similarity of Triangles, Ratio of Sides of Triangle, Right-angled Triangles and Pythagoras Property, Similar Figures, Similarity of Triangles, Triangles Examples and Solutions

#### NCERT Class 10 Mathematics (10th) Chapter 6: Triangles exercises

ExerciseNo. of questionsPages
Exercise 6.17122
Exercise 6.213128 to 129
Exercise 6.324138 to 141
Exercise 6.49143 to 144
Exercise 6.522150 to 151
Exercise 6.610152 to 153

### NCERT Class 10 Mathematics (10th) Chapter 7: Coordinate Geometry solutions

Concepts covered in Coordinate Geometry are Area of a Triangle, Basic Geometric Constructions, Coordinate Geometry, Distance Formula, Graphs of Linear Equations, Section Formula

#### NCERT Class 10 Mathematics (10th) Chapter 7: Coordinate Geometry exercises

ExerciseNo. of questionsPages
Exercise 7.114161 to 162
Exercise 7.210167
Exercise 7.37170
Exercise 7.48171 to 172

### NCERT Class 10 Mathematics (10th) Chapter 8: Introduction to Trigonometry solutions

Concepts covered in Introduction to Trigonometry are Proof of Existence, Relationships Between the Ratios, Trigonometric Identities, Trigonometric Ratios, Trigonometric Ratios and Its Reciprocal, Trigonometric Ratios of Complementary Angles, Trigonometric Ratios of Some Special Angles, Trigonometry

#### NCERT Class 10 Mathematics (10th) Chapter 8: Introduction to Trigonometry exercises

ExerciseNo. of questionsPages
Exercise 8.117181
Exercise 8.215187
Exercise 8.311189 to 190
Exercise 8.418193 to 194

### NCERT Class 10 Mathematics (10th) Chapter 9: Some Applications of Trigonometry solutions

Concepts covered in Some Applications of Trigonometry are Heights and Distances

#### NCERT Class 10 Mathematics (10th) Chapter 9: Some Applications of Trigonometry exercises

ExerciseNo. of questionsPages
Exercise 9.116203 to 205

### NCERT Class 10 Mathematics (10th) Chapter 10: Circles solutions

Concepts covered in Circles are Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles, Number of Tangents from a Point on a Circle, Tangent to a Circle

#### NCERT Class 10 Mathematics (10th) Chapter 10: Circles exercises

ExerciseNo. of questionsPages
Exercise 10.17209
Exercise 10.213213 to 214

### NCERT Class 10 Mathematics (10th) Chapter 11: Constructions solutions

Concepts covered in Constructions are Construction of Tangents to a Circle, Constructions Examples and Solutions, Division of a Line Segment

#### NCERT Class 10 Mathematics (10th) Chapter 11: Constructions exercises

ExerciseNo. of questionsPages
Exercise 11.17219 to 220
Exercise 11.27221 to 222

### NCERT Class 10 Mathematics (10th) Chapter 12: Areas Related to Circles solutions

Concepts covered in Areas Related to Circles are Area of Circle, Areas of Combinations of Plane Figures, Areas of Sector and Segment of a Circle, Circumference of a Circle

#### NCERT Class 10 Mathematics (10th) Chapter 12: Areas Related to Circles exercises

ExerciseNo. of questionsPages
Exercise 12.15225 to 226
Exercise 12.214230 to 231
Exercise 12.316234 to 238

### NCERT Class 10 Mathematics (10th) Chapter 13: Surface Areas and Volumes solutions

Concepts covered in Surface Areas and Volumes are Concept of Surface Area, Volume, and Capacity, Conversion of Solid from One Shape to Another, Frustum of a Cone, Surface Area of a Combination of Solids, Volume of a Combination of Solids

#### NCERT Class 10 Mathematics (10th) Chapter 13: Surface Areas and Volumes exercises

ExerciseNo. of questionsPages
Exercise 13.19244 to 245
Exercise 13.28247 to 248
Exercise 13.39251 to 252
Exercise 13.412257 to 258

### NCERT Class 10 Mathematics (10th) Chapter 14: Statistics solutions

Concepts covered in Statistics are Concepts of Statistics, Graphical Representation of Cumulative Frequency Distribution, Mean of Grouped Data, Median of Grouped Data, Mode of Grouped Data, Ogives (Cumulative Frequency Graphs)

#### NCERT Class 10 Mathematics (10th) Chapter 14: Statistics exercises

ExerciseNo. of questionsPages
Exercise 14.19270 to 272
Exercise 14.26275 to 276
Exercise 14.37287 to 289
Exercise 14.43293

### NCERT Class 10 Mathematics (10th) Chapter 15: Probability solutions

Concepts covered in Probability are Basic Ideas of Probability, Concept Or Properties of Probability, Probability - A Theoretical Approach, Sample Space, Simple Problems on Single Events

#### NCERT Class 10 Mathematics (10th) Chapter 15: Probability exercises

ExerciseNo. of questionsPages
Exercise 15.147308 to 311
Exercise 15.25311 to 312

Examinations tend to bring a lot of stress to the students appearing and the stress gets magnified all the more, especially when its the student's first-ever board exam. The added stress of it being a board exam, coupled with the vast portion that needs to be covered, is what contributes towards making the students hate exams all the more. In order to successfully ace the subject, you need to constantly practice, in order to stay in touch with the subject and it begins with getting a hold of trustworthy, reliable and reputed study material. Class 10 Mathematics is usually one of the most challenging and difficult subjects to comprehend, but when you get all the steps, numbers and equations right, it also proves to be the only subject where the student can score cent percent marks in the examination.

Class 10 Maths NCERT book also referred to as CBSE class 10 maths is a good resource, Shaalaa has solutions for this book. The solving practice is great for exam preparation.

## NCERT Solutions for Class 10 Maths

Class 10 NCERT solutions answers all the questions given in the NCERT textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our Class 10 Students. The solutions on Shaalaa will help you solve all the NCERT Class 10 Mathematics (10th) questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

Shaalaa provides free NCERT solutions for Class 10 Maths. Shaalaa has carefully crafted NCERT solutions for Class 10 Mathematics (10th) that can help you understand the concepts and learn how to answer properly in your board exams. You can also share our link for free Class 10 Mathematics (10th) NCERT solutions with your classmates.

If you have any doubts while going through our Class 10 Mathematics (10th) NCERT solutions, then you can go through our Video Tutorials for Mathematics (10th). The tutorials should help you better understand the concepts.

### How NCERT Solution for Class 10 Maths can help you score well?

Owning the best study and reference material, such as NCERT Solution for Class 10 Maths can help a student gain an edge over the competition, as it provides the student with everything that he/she would need in their arsenal, to crack the challenging examination. With previous question papers, sums, easy explanations, equations, and theorems simplified, it makes this challenging subject a lot easier to understand. Class 10 Maths NCERT Solutions also provide easy, elaborate and simplified explanations to various theorems and methods for both Geometry and algebra, thus ensuring that you do not refer to other books to get a hold of good quality material to practice and study.

### How reliable Solutions of NCERT Class 10 Maths can benefit you?

At Shaalaa, we have a team of dedicated Mathematicians, professors and teachers experienced in providing Maths NCERT solutions and through their vast experience, can share tips, short and simplified methods, simple explanations, in-dept understandings will help you get a firm grasp over the complicated subject and will ensure that you are successfully able to find solutions to all your challenges while preparing for your Class 10 CBSE exam.

### What does Mathematics for Class 10 NCERT provide?

Unlike other sources that provide NCERT Mathematics 10th Class Solution set, we at Shaalaa have gauged and understood the topics, sums, and equations that students usually find challenging and difficult to comprehend. After carefully analyzing the same, we have focused a lot more on the challenging sums and have tried our best to provide an alternate and easier solution, wherever possible.

Our class 10 math chapter wise Solutions help students understand better

With years of experience and a dedicated and experienced team of experts, who work tirelessly, to ensure that students get the best study material out there, we at Shaalaa, have been the most reputed and renowned brands for NCERT Solution for Class 10 Maths, with the simple aim of ensuring that students have easy access to the most important and effective notes, equations and other sorts of study material out there.

### In which way are NCERT Solutions helpful exam preparations?

Math is a subject that is easy for many, and extremely difficult for others. Class 10 Maths Solutions NCERT is extremely useful for the student. These Solutions provide an excellent platform for understanding and learning. The Solutions are explained with well-illustrated graphs and solved examples which makes learning easier. Video tutorials are also available. Taking the help of NCERT Solutions for 10 Maths, well ahead of time is a great idea.

### Is the whole syllabus covered?

10th Math NCERT Solutions contain all Solutions of questions in the NCERT maths textbook. Seeing the solution to the questions helps in clearer understanding and thereby prepares the student for the exam. The professor explains the method of solving the problem, thereby equipping the student to tackle any problem in the exam. Refer to the class 10 Maths Solutions NCERT to ensure clear understanding and great results. In today's day, supplementing academics by using an online platform like Shaalaa.com proves to be useful to the student, as it provides additional knowledge which will help him to be 'one up', over the competitor.

Finding the best Class 10 Mathematics (10th) NCERT solutions is very important if you want to fully prepare for the exam. It's crucial to ensure that you are fully prepared for any challenges that can arise, and that's why heavy, professional focus on Maths NCERT Class 10 solutions can be a very good idea. As you learn the solutions, it's a lot easier for you to obtain the results you want and the experience itself can be staggering every time.

## Comprehensive NCERT solutions for Class 10 Maths

It's very important to have the NCERT solutions for Class 10 Maths as they can offer a good guideline in regards to what you need to improve. If you want to get better and better, you need to push the boundaries and take things to the next level. That certainly helps a lot and it can bring in front a tremendous array of benefits every time. It pushes the experience to the next level, and the payoff alone can be extraordinary.

What you want from the NCERT solution of Mathematics (10th) of Class 10 is a lot of accuracy. Without accurate solutions you'll never have the results and value you want. That's why you want quality, reliability and consistency with something like this. If you have it, things will certainly be amazing and you will get to pursue your dreams.

## Proper formatting

If you acquire the Maths NCERT Class 10 solutions from this page, they are fully formatted and ready to use. This helps make the experience simpler and more convenient, while offering the results and value you need. That's what you want to pursue, a true focus on quality and value, and the payoff can be great thanks to that.

All the NCERT Class 10 Maths solutions here cover all 15 chapters. As a result, you will be able to fully prepare for the exam adequately and without having to worry about missing anything. You rarely get such a benefit, and that on its own is what really makes the Class 10 Maths NCERT solutions provided here such an extraordinary advantage that you can always rely on. Just consider giving it a try for yourself and you will find it very comprehensive, professional and convenient at the same time.

Our NCERT solutions for Class 10 Maths cover everything from Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability and the other topics. Yes, these are the best NCERT 12 Maths solution options on the market. You get to fully prepare for the exam in a reliable and comprehensive manner. You just have to check it out for yourself and the experience can be really impressive.

Don't hesitate and check our Class 10 Maths solutions today if you want to handle this exam with great ease. It will offer an extraordinary experience every time and you will not have to worry about any issues. Just browse our solutions right now and you will find yourself mastering the NCERT exam questions in no time!