std 9 maths assignment solutions 2022 pdf

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Class 9 Mathematics Assignments

We have provided below free printable Class 9 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 9 Mathematics . These Assignments for Grade 9 Mathematics cover all important topics which can come in your standard 9 tests and examinations. Free printable Assignments for CBSE Class 9 Mathematics , school and class assignments, and practice test papers have been designed by our highly experienced class 9 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Class 9 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 9. Students can click on the links below and download all Pdf Assignments for Mathematics class 9 for free. All latest Kendriya Vidyalaya Class 9 Mathematics Assignments with Answers and test papers are given below.

Mathematics Class 9 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 9 Mathematics . Students and teachers can download and save all free Mathematics assignments in Pdf for grade 9th. Our expert faculty have covered Class 9 important questions and answers for Mathematics as per the latest syllabus for the current academic year. All test papers and question banks for Class 9 Mathematics and CBSE Assignments for Mathematics Class 9 will be really helpful for standard 9th students to prepare for the class tests and school examinations. Class 9th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 9 Mathematics Download in Pdf

More assignments for class 9 mathematics.

Advantages of Class 9 Mathematics Assignments

• As we have the best and largest collection of Mathematics assignments for Grade 9, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics textbooks for Class 9 .
• All Mathematics assignments for Class 9 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 9 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics chapter wise worksheets and assignments for free in Pdf
• Class 9 Mathematics question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 9 Mathematics students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Class 9 which you can download in Pdf

We provide here Standard 9 Mathematics chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics in Grade 9, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Grade 9 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 9 for all subjects. You can download them all and use them offline without the internet.

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• Class 9 Maths NCERT Solutions

NCERT Solutions for Class 9 Maths (PDF): Updated for 2022-2023

Ncert solutions for class 9 maths are available here for download in pdf. the chapter-wise solutions are best to prepare for the annual assessment in class 9 maths exam 2022-23..

NCERT Solutions for Class 9 Maths: Check the best explained NCERT Solutions for Class 9 Maths below. Download the chapter-wise solutions in PDF. These solutions have been updated for the latest edition of the NCERT Maths Book and are explained in the simplest manner. Therefore, following the Class 9th Maths NCERT Solutions by Jagran Josh will help students clear the concepts and score well in Class 9 Maths Exam 2022-23. 

Also Read| CBSE Class 9 Maths Revised Syllabus 2022-2023 

Links to Download Class 9 Maths NCERT Solutions are provided below:

Chapter 1: Number System

Chapter 2: Polynomials

Chapter 3: Coordinate Geometry

Chapter 4: Linear Equations in two Variables

Chapter 5: Introduction to Euclid's Geometry

Chapter 6: Lines and Angles

Chapter 7: Triangles

Chapter 8: Quadrilaterals

Chapter 9: Areas of Parallelograms And Triangles

Chapter 10: Circles

Chapter 11: Constructions

Chapter 12: Heron's Formula

Chapter 13: Surface Areas And Volumes

Chapter 14: Statistics

Chapter 15: Probability

In Class 9, students are introduced to several new and complex concepts which are important to lay a strong foundation for higher classes. However, it also becomes difficult for students to grasp difficult topics and clear the concepts. But if you have good and reliable study resources then it becomes easier to understand the concepts and logic. NCERT Solutions by Jagran Josh form the best resource to remove all your doubts and clear the concepts. All these NCERT solutions have been explained by the subject matter experts to provide accurate and detailed solutions to class 9 students. These NCERT Solutions are prepared for the latest NCERT book for the new academic session 2021-22. 

• Each solution is framed in a way to involve the key concepts.
• Solutions have been rechecked/revised by subject experts.
• Chapter-wise solutions are available for free download.

Also, check Class 9 Mathematics NCERT Exemplar Problems

When working with Mathematics problems, it is quite essential to focus on understanding the process and logic that is involved. This helps you understand how you should approach similar problems in school tests or annual examinations. Following the NCERT solutions provided above in this article will help to cover the complete syllabus in an organised manner.

Follow the Class 9 Maths NCERT Book:

Setting up a strong foundation of concepts during Class 9 can be much effective in cracking the biggest test of a student’s life, i.e., the Class 10 th Board Exam. For this, following the NCERT textbooks is considered as the best practice as these books help to develop a strong foundation of all the concepts.

Importance of Class 9 Maths NCERT Textbooks and NCERT Solutions

CBSE affiliated schools follow NCERT textbooks as questions asked in CBSE Class 9th annual examination are based on the NCERT textbooks only. The contents of the NCERT textbooks i.e., concepts, definitions, theorems, etc., are presented in the precise form. You will find here to the point detail on all topics and concepts. Facts and examples given in NCERT textbooks are universally accepted and it is one of the main reasons why CBSE prescribes NCERT textbooks.

NCERT textbooks play an essential role to get a hold of every topic if studied thoroughly. With simple and easy language, they help to lay a better foundation of all tough and advanced level concepts. To achieve the maximum marks in exams, all students need to read the NCERT books thoroughly and solve the exercise questions given at the end of each chapter. This will surely help them to get the desired results in the exams.

Also, check:

NCERT Books for Class 9 - All Subjects

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• NCERT Solutions For class 9 Maths
• NCERT Solutions

NCERT Solutions for Class 9 Maths - Free PDF Download

Class 9 Maths is an important  subject to master for students. In this class, they are introduced to concepts of Triangles, Polynomials, Number Systems, and much more. Also, the exercise questions are challenging and thus we sugggest the students to take guidance from reliable sources to prepare for the Class 9 Maths exam.

In order to complete the vast syllabus in an easy and efficient way, Vedantu experts have compiled NCERT Class 9 Maths Solutions for students. These solutions will help students comprehend the topics and solve the calculative problems in an easy and step-by-step manner.

The learned experts at Vedantu have come up with a productive solution to the troubles that students face while studying Mathematics. All the concepts and theorems have been explained in an easy-to-understand way so that students can easily tackle difficult problems. These study materials act as guides that can help them progress in class. Students should go for NCERT Maths Book Class 9 Solutions PDF Free Download from Vedantu so that they can prepare for their exams.

Detailed Overview of Class 9 Maths NCERT Solutions

Cbse class 9 maths ncert solutions 2024-25 - overview of ncert .

The chapters of Class 9 Maths include Probability, Circles, Polynomials, Statistics, Triangles, Heron’s Formula, Surface Areas and Volumes, etc. Students need all the help and guidance to excel in their studies when it comes to Mathematics. All the concepts have been properly explained in the solutions. With the help of NCERT Solutions , students finally have a proper explanation for all the theorems and formulas that they will be using during the calculations. They can easily finish their syllabus in time with the help of experts at Vedantu.

When it comes to preparation for Maths, Class 9 students have to devote equal attention to all the topics and chapters. With the help of NCERT Solutions for Class 9, they don’t have to go through the entire chapter as they can only solve the exercise questions and get a strong grasp of the concepts. These solutions have been provided in a step-by-step format to make things easier to understand for the students.

The experts at Vedantu have followed the CBSE guidelines while forming the solutions. Thus, students will be able to improve their answering skills as per the CBSE format with these solutions. They can also figure out the questioning pattern as well as the answering format that they need to adapt in their final exams. Thus, NCERT solutions for Class 9 Maths function as a study guide and help students with their preparation strategy.

NCERT Solutions for Class 9 Maths - Chapter-wise List

Given below are the chapter-wise NCERT Solutions for Class 9 Maths . These solutions are provided by the Maths experts at Vedantu in a detailed manner. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

Also Check for: The Concepts of NCERT Class 9 Maths

NCERT Solutions for CBSE Class 9 Maths Chapters and Exercises

Ncert solutions for class 9 maths chapter 1 number system, ncert solutions for class 9 maths chapter 2 polynomials, class 9 maths ncert solutions chapter 3 coordinate geometry, ncert solutions for class 9 maths chapter 4 linear equations in two variables.

• NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid's Geometry

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles

Ncert solutions for class 9 maths chapter 7 triangles, ncert solutions for class 9 maths chapter 8 quadrilaterals, ncert solutions for class 9 maths chapter 9 areas of parallelograms and triangles, ncert solutions for class 9 maths chapter 10 circles, ncert solutions for class 9 maths chapter 11 constructions, ncert solutions for class 9 maths chapter 12 heron’s formula, ncert solutions for class 9 maths chapter 13 surface areas and volumes, ncert solutions for class 9 maths chapter 14 statistics, ncert solutions class 9 maths chapter 15 probability, benefits of vedantu’s ncert solutions for class 9 maths, download ncert solutions for class 9 maths pdf.

Vedantu provides a NCERT Maths class 9 solutions PDF download free of cost. These 9th class Maths book solutions are designed by subject matter experts who have in-depth knowledge and years of experience. The Class 9 Maths NCERT Solutions PDF is designed as per the latest NCERT guidelines and exam pattern which make it a reliable material for exam preparation. You can also choose to download the NCERT Solutions for Class 9 Maths PDF and keep it handy for a quick revision before exams. Moreover, out of most of the online materials that can be found for the Class 9 Maths Syllabus , Class 9th Maths NCERT solutions are said to be one of the more proven methods of practising for your Class 9 examinations. Get the NCERT solution Class 9th Maths accessible as free PDF downloads to help you while solving the problems given in the CBSE Maths Class 9 textbook .

The NCERT Class 9 Maths solutions chapters provide insight into the basic concepts which will definitely enable you to score more in your examination. Given below are the chapter-wise details of NCERT solutions Class 9 Maths for you so that you can get an idea about the chapter and its free pdf of NCERT Solutions-

NCERT Class 9 Maths Chapter 1 sets the foundation for the subject. Solutions of intext exercises and end exercise of Number are explained elaborately to help understand the basic concepts. The chapter discusses the topics of rational, irrational numbers and representing the same on the number line. Students are also taught how to represent square roots as well as terminating and non-terminating decimals on the number lines.

6 exercises are included in the NCERT Solutions for Class 9 Maths Chapter 1 which are Exercise 1.1 to 1.6. Most of the questions are application based and a few are memory-based questions to test students’ application skills and cognizance.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 1 of CBSE Class 9 Maths Solutions–

Chapter 1: Number System Important Questions

Chapter 1: Number System Important Formulas

Chapter 1: Number System Revision Notes

Chapter 1: Number System NCERT Exemplar Solutions

Chapter 1: Number System RD Sharma Solutions

Chapter 2 of NCERT Solutions of Class 9 Maths is on Polynomials . Students are introduced to the concept of Polynomials which are expressions consisting of variables and coefficients. Properties such as addition, subtraction, division, multiplication of polynomials are taught in this chapter along with their factorisation. The Factor Theorem and Remainder Theorem making use of these polynomials are also provided in this chapter.

Chapter 2 of NCERT Solutions for Class 9 Maths includes 5 exercises. The majority of questions are practical and application-based which allows you to improve the understanding of the chapter.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 2 of CBSE Class 9 Maths Solutions –

Chapter 2: Polynomials Important Questions

Chapter 2: Polynomials Important Formulas

Chapter 2: Polynomials Revision Notes

Chapter 2: Polynomials NCERT Exemplar Solutions

Chapter 6: Factorization of Polynomials RD Sharma Solutions

Chapter 3 discusses the cartesian plane, coordinates of a point in the ‘xy’ plane, and several other significant terms associated with coordinate geometry. Students will learn how to plot points in the xy plane following the abscissa and ordinates, etc.

With 3 exercises comprising both long and short questions, the exercises of NCERT Class 9 Solutions Maths for Chapter 3 are designed to test your application skills as well as cognizance.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 3 of CBSE Class 9 Maths Solutions–

Chapter 2: Coordinate Geometry Important Questions

Chapter 3: Coordinate Geometry Important Formulas

Chapter 3: Coordinate Geometry Revision Notes

Chapter 11: Coordinate Geometry RD Sharma Solutions

Chapter 4 also discusses the concept of linear equations having two variables. Students already equipped with the knowledge of coordinate geometry will learn how to plot the graph of a linear equation with two variables.

NCERT 9th class Maths book solutions include 4 exercises with 16 questions in total. This chapter includes application-based questions to test your understanding of the chapter.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 4 of CBSE Class 9 Maths Solutions –

Chapter 4: Linear Equations in Two Variables Important Questions

Chapter 4: Linear Equations in Two Variables Important Formulas

Chapter 4: Linear Equations in Two Variables Revision Notes

Chapter 4: Linear Equations in Two Variables NCERT Exemplar Solutions

Chapter 13: Linear Equations in Two Variables RD Sharma Solution s

NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid's Geometry

The 5th Chapter, Introduction to Euclid's Geometry tries to establish a link between present-day geometry with that of Euclidean geometry. The axioms, theorems and postulates have been provided to provide students with an in-depth understanding.

Chapter 5 of Class 9 Maths NCERT Solutions has 2 exercises. The questions are based on analysis to test your analytical skills and cognizance.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 5 of CBSE Class 9 Maths Solutions–

Chapter 5: Introduction to Euclids Geometry Important Questions

Chapter 5: Introduction to Euclids Geometry Important Formulas

Chapter 5: Introduction to Euclids Geometry Revision Notes

Chapter 5: Introduction to Euclids Geometry NCERT Exemplar Solutions

Chapter 7: Introduction to Euclids Geometry RD Sharma Solutions

The 6th chapter in NCERT Solutions Class 9 Maths is on Lines and Angles. Students are mostly asked to prove the statements based on the axioms and theorems explained in the chapter.

NCERT Solution Class 9 Maths of Chapter 6 includes 3 exercises.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 6 of CBSE Class 9 Maths Solutions

Chapter 6: Lines and Angles Important Questions

Chapter 6: Lines and Angles Important Formulas

Chapter 6: Lines and Angles Revision Notes

Chapter 6: Lines and Angles NCERT Exemplar Solutions

Chapter 8: Lines and Angles RD Sharma Solutions

Triangles is the 7th Chapter in NCERT Maths Class 9 Solutions. The properties of triangles such as inequalities, congruence, rules of congruence have been explained in this chapter. Students are also taught about the application of the congruence rules while solving the exercise questions.

NCERT Solution Class 9 Maths of Chapter 7 includes 5 exercises . These questions are designed to test your cognizance.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 7 of CBSE Class 9 Maths Solutions–

Chapter 7: Triangles Important Questions

Chapter 7: Triangles Important Formulas

Chapter 7: Triangles Revision Notes

Chapter 7: Triangles NCERT Exemplar Solutions

Chapter 9: Triangles and Its Angles RD Sharma Solutions

In chapter 8 you will be introduced to Quadrilaterals and their various properties. A quadrilateral is a figure obtained by joining four distinct points on a plane. Students are provided in-depth knowledge about the topic in this chapter.

NCERT Solution Class 9 Maths of Chapter 8 includes 2 exercises. These questions are based on your application skills and analysis skills.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 8 of CBSE Class 9 Maths Solutions–

Chapter 8: Quadrilaterals Important Questions

Chapter 8: Quadrilaterals Important Formulas

Chapter 8: Quadrilaterals Revision Notes

Chapter 8: Quadrilaterals NCERT Exemplar Solutions

Chapter 14: Quadrilaterals RD Sharma Solutions

You have studied the concept of quadrilaterals and triangles, now you will study specific quadrilaterals viz. parallelograms and triangles in relation to the calculation of their area. Students are taught about the formulas for area calculation and the relationship between different geometric figures in this chapter.

NCERT Solution Class 9 Maths of Chapter 9 includes 4 questions to test your application skills, numerical skills and memory skills.

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 9 of CBSE Class 9 Maths Solutions–

Chapter 9: Areas of Parallelograms and Triangles Important Questions

Chapter 9: Areas of Parallelograms and Triangles Important Formulas

Chapter 9: Areas of Parallelograms and Triangles Revision Notes

Chapter 9: Areas of Parallelograms and Triangles NCERT Exemplar Solutions

Chapter 15: Areas of Parallelograms and Triangles RD Sharma Solutions

In this chapter of Class 9 Maths, you will learn about circles. Definition of a circle, tangent, chord, arc, etc., are described in this chapter. Various other concepts such as the angle subtended by the arc of a circle, cyclic quadrilaterals, etc., are also explained.

9th class Maths book solutions Chapter 10 includes 6 exercises and solutions to all 35 questions given in your NCERT Textbook. These questions are based on your numerical abilities, application skills, and memory skills.

In this chapter, you will learn to construct triangles with the use of angle bisectors. Students will be taught certain methods that are used for the construction of certain types of triangles. These exercises are really very easy if you understand them and practice them on a daily basis. NCERT Solution Class 9 Maths Chapter 11 includes 2 exercises that adjudge your ability to apply the methodologies.

Heron’s formula, the 12th chapter of Class 9 Maths, is used to calculate the area of a triangle when the lengths of its sides are given. Students are also taught how to calculate the area of quadrilaterals and other polygons by dividing them into triangles and applying Heron’s formula. NCERT Solution Class 9 Maths of Chapter 12 includes 2 exercises designed on your ability to decipher and apply the formula.

In this chapter, you will understand the significance of surface areas and volumes of cubes, cuboids, cones, etc. This chapter teaches students how to calculate the same.

NCERT Solution Class 9 Maths of Chapter 13 includes 9 exercises and these questions will test your understanding ability and memory skills (required to retain the different formulae).

Statistics is the 14th chapter in Class 9 Maths. Students are introduced to the concept of statistics and its significance and application in different fields. Concepts of data, data distribution, and representation, different types of graphs, etc., are also explained. Students will mainly learn to calculate mean, median, and mode in this chapter.

NCERT Solution Class 9 Maths of Chapter 14 contains 4 exercises. The questions judge your comprehensive ability and analytical skills.

This chapter provides you with an insight into the world of probability and its vast applications in higher mathematics. Students learn about probability definition which is the chances for an event to occur for a particular outcome.

NCERT Solution Class 9 Maths Chapter 15 comprises just a single exercise that will assess your comprehensive ability. To prepare for the exams, make sure to read the chapter thoroughly and practise all the exercise questions. This will help you to score better.

CBSE Class 9 Maths Chapter-Wise Marks Weightage 

Internal assessment for cbse class 9 maths.

NCERT or National Council of Educational Research and Training was created to standardize India’s education system. The NCERT solutions can help you get an in-depth and detailed understanding of the concepts and questions from the NCERT textbooks. Here are some more benefits of Vedantu’s NCERT Solutions for Class 9 Maths:

1. All the Concepts are Explained in Detail

In the solutions, you will find that all the concepts have been explained in easy language and in detail. It will help you get a better understanding of the concepts and score well in your exams.

2. Accurate Solutions

The NCERT Solutions for Class 9 Maths by Vedantu have been created by experienced teachers. The solutions are well-reviewed so that students don’t get misguided by inaccurate study materials.

3. Learn Online and Offline

Vedantu’s NCERT Solutions for Class 9 Maths are available in pdf format online. You can download these pdfs and learn offline as well. This means you can study anytime and anywhere. It is also possible to share the links of the NCERT Maths class 9 solutions PDF download with your friends.

4. Get Your Doubts Cleared

If you are confused about any topic from your class 9 Maths syllabus, you can use these NCERT solutions for getting your doubts cleared. All the solutions are provided in an easy way so that you can have your concepts cleared.

5. Created by the Best Teachers

Vedantu’s NCERT Solutions for Class 9 Maths have been created by teachers who are subject matter experts. By studying through these high-quality study materials, you will be able to score more marks. The solutions have been designed after performing extensive research on the subject. Once you are done, you will be able to solve problems of varying difficulty levels.

6. Helps with Preparation For Exams

The NCERT Solutions contain a Chapter Wise List Of Class 9 Maths so that students can easily identify the important chapters that have significant weightage in the examinations. Thus they can prepare for their exams well and score more marks by focusing on chapters that are crucial.

7. Makes Revision Easier

While revising the chapters, students don’t have to go through the entire book. The NCERT solutions have explained all the topics and concepts in a very easy manner. While solving the problems, students will learn about the theorems, formulas, and descriptions that are used. Thus, they will easily be able to complete the chapter without any interruptions.

Important Related Links for CBSE Class 9 Maths

Important Questions for CBSE Class 9 Math

RS Aggarwal Class 9 Solutions for Math book

In terms of NCERT Solutions for Class 9 Maths , Vedantu is the best option available. You can get easy access to step-by-step Maths NCERT Solutions Class 9 online or as a free NCERT Maths class 9 solutions PDF download . The NCERT Solutions for Class 9 Maths can be downloaded absolutely free of cost. The solutions are provided and reviewed by experienced teachers with long years of experience in the subject matter which makes them very reliable.

FAQs on NCERT Solutions For class 9 Maths

1. How to study NCERT Solutions for Class 9 Maths in an easy way?

Vedantu offers a free PDF for NCERT Solutions for Maths Class 9. In addition to being totally free, the NCERT Maths class 9 solutions PDF download can be accessed anytime as per your convenience and from anywhere and what’s more important is that these are designed by experienced teachers and thus, are error-free and reliable.

2. How to download NCERT Solutions for Class 9 Maths PDFs?

The latest edition of  Class 9 NCERT Solutions for Maths are available at Vedantu from where they can be downloaded by clicking on the links provided. Based on the CBSE syllabus , these solutions will enhance your ability for exam preparation and the option for convenient download makes things more hassle-free. You can now prepare for Class 9 Maths as per the latest syllabus and get all the necessary study material at your fingertips.

3. Which are the important chapters in CBSE Class 9 Maths?

The Class 9 Maths important chapters include:

Polynomials

Surface Areas and Volume

Areas of Parallelograms and Triangles

Quadrilaterals

4. Which chapters and exercises are deleted from CBSE Class 9th Maths CBSE?

The chapters deleted from NCERT Class 9 CBSE Maths syllabus are Introduction to Euclid's Geometry and Areas of Parallelograms and Triangles. In addition to these, parts of various chapters are deleted as well.

5. Are these NCERT Solutions enough to score better in the Class 9 Maths Board Exam?

NCERT Solutions for Class 9 Maths help students to find answers to the textbook exercise problems and clear all their doubts regarding the questions given in the NCERT book. The solutions are provided by expert teachers who are well versed in the curriculum. By referring to these, students can learn how to write answers in the exam that would fetch more marks. Students should, however, first make a habit of understanding the chapters and then refer to the NCERT Solutions if they are having trouble in solving the questions given in the textbook. Students are also encouraged to practise questions from previous years and solve sample papers to improve their scores in the exam.

6. Why is it important to refer to NCERT Solutions for Class 9 Maths?

Studying from the NCERT Solutions for Class 9 Maths is very important as they are a reliable way for you to cross-check your answers. You can use these as a guide on how your answers should appear in an examination. It will help you ensure that you don’t miss any steps and score the best possible marks.

7. Should I make notes while going through the NCERT Solutions for Class 9 Maths?

When you are creating notes, you are creating a simple guide that will help you build a thorough understanding of the subject as well as when you want to revise it. It helps you retain and recall concepts when needed. So, if you want to expedite your learning process, you need to make notes as well.

8. What is the best way to learn the concepts that are covered in the NCERT Solutions for Class 9 Maths?

The best way for you to learn the concepts that are covered in the solutions is through regular practice. If you are facing some difficulty with a concept and are unable to proceed further, you need to clarify your doubts immediately. This will ensure that there are no gaps in your learning.

9. Can you use any other method for solving questions apart from the one provided in the NCERT Solutions for Class 9 Maths pdf?

Yes, you can use some other method for solving problems as long as it is universally recognized. You cannot use any tricks to solve exam problems. You have to use standardized techniques.

10. Why should I refer to Vedantu’s NCERT Solutions Class 9 Maths?

Vedantu’s NCERT Solutions Class 9 Maths contains answers to all the questions in the NCERT Class 9 Maths book. The solutions are present in a simple manner so that students can understand easily. These solutions are framed by subject-matter experts and the solutions are updated according to the latest curriculum of the CBSE. Hence, these are very reliable. It will help students to clear their doubts and strengthen their concepts.

11. Should I practice NCERT Solutions for Class 9 Maths regularly?

Yes, you should practice NCERT Solutions for Class 9 Maths regularly. Solving questions daily will improve your speed and accuracy. Your fundamental concepts will be cleared, and you will understand chapters of higher classes easily. If you practice daily, you will gain sufficient confidence to attempt new questions, and you can even play around with the concepts, which will enhance your analytical skills.

12. What is the best reference book for Class 9 Maths?

Vedantu’s NCERT Solutions for Class 9 Maths is the best reference book for Class 9 Maths. It has detailed and comprehensive solutions to all questions in your NCERT Maths book . All the topics are covered in this book, and it focuses on strengthening your concepts. This is prepared by top faculties and is in accordance with the latest CBSE curriculum , and is very reliable.

NCERT SOLUTIONS FOR CLASS 9

Cbse class 9 study materials.

NCERT Solutions For Class 9 Maths – Download in PDF (2021 – 2022)

Download NCERT Solutions For Class 9 Maths in PDF

Chapter 1: number systems.

Representation of terminating/non-terminating recurring decimals on the number line (and successive magnification method). Presentation of square roots of 2, 3 and other non-rational numbers. Rationalization of real numbers, laws of integral powers and rational exponents with positive real bases in Number Systems .

• Study Online (English/Hindi)
• Exercise 1.1
• Exercise 1.2
• Exercise 1.3
• Exercise 1.4
• Exercise 1.5
• Exercise 1.6
• Assignment based on Chapter 1 in English
• NCERT Books for Class 9
• प्रश्नावली 1.1
• प्रश्नावली 1.2
• प्रश्नावली 1.3
• प्रश्नावली 1.4
• प्रश्नावली 1.5
• प्रश्नावली 1.6
• Assignment based on Chapter 1 in Hindi

Chapter 2: Polynomials

Examples and definition of a polynomial, coefficient, degrees, zeroes and terms of a polynomial. Constant, linear, quadratic and cubic polynomials, monomials, binomials, trinomials. Factors and multiples, Remainder and factor theorems, factorization of a polynomials using factor theorem.

• Exercise 2.1
• Exercise 2.2
• Exercise 2.3
• Exercise 2.4
• Exercise 2.5
• Assignment based on Chapter 2 in English
• प्रश्नावली 2.1
• प्रश्नावली 2.2
• प्रश्नावली 2.3
• प्रश्नावली 2.4
• प्रश्नावली 2.5
• Assignment based on Chapter 2 in Hindi

Chapter 3: Coordinate Geometry

In this chapter  Coordinate Geometry we will study the concept of cartesian plane, coordinates of a point in this xy – plane, name, terms, notations and other terms associated with the coordinate plane. Abscissa and ordinate of a points. Plotting a point in xy – plane and naming it.

• Exercise 3.1
• Exercise 3.2
• Exercise 3.3
• Assignment based on Chapter 3 in English
• प्रश्नावली 3.1
• प्रश्नावली 3.2
• प्रश्नावली 3.3
• Assignment based on Chapter 3 in Hindi

Chapter 4: Linear Equations in Two Variables

This chapter provides the introduction to the equation in two variables of the type ax + by + c = 0. Proving a linear equation has infinite number of solutions. Plotting a linear equation on graph and justification of any point on line. Problems based on Linear Equations in Two Variables in daily life.

• Exercise 4.1
• Exercise 4.2
• Exercise 4.3
• Exercise 4.4
• Assignment based on Chapter 4 in English
• NCERT books
• प्रश्नावली 4.1
• प्रश्नावली 4.2
• प्रश्नावली 4.3
• प्रश्नावली 4.4
• Assignment based on Chapter 4 in Hindi

Chapter 5: Introduction to Euclid’s Geometry

Euclid’s geometry and history of Indian geometry. Introduction to Euclid’s Geometry provides a way of defining the common geometrical shapes and terms. Euclid’s five postulates and redefining (equivalent versions) the fifth postulates.  Relationship between axiom, postulates and theorems.

• Exercise 5.1
• Exercise 5.2
• Assignment based on Chapter 5 in English
• प्रश्नावली 5.1
• प्रश्नावली 5.2
• Assignment based on Chapter 5 in Hindi

Chapter 6: Lines and Angles

There are two theorems in Lines and Angles chapter which may be asked for proof. First is “If two lines intersect, vertically opposite angles are equal” and second is “The sum of the angles of a triangle is 180.”. Rest theorems are given for motivations and questions will be asked on the basis of all these theorems (Motivate/Prove).

• Exercise 6.1
• Exercise 6.2
• Exercise 6.3
• Assignment based on Chapter 6 in English
• प्रश्नावली 6.1
• प्रश्नावली 6.2
• प्रश्नावली 6.3
• Assignment based on Chapter 6 in Hindi

Chapter 7: Triangles

In this chapter Triangles , two theorems (“Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence)” and “The angles opposite to equal sides of a triangle are equal.”) are given for proof and the rest will be asked in the form of applications/problems.

• Exercise 7.1
• Exercise 7.2
• Exercise 7.3
• Exercise 7.4
• Exercise 7.5
• Assignment based on Chapter 7 in English
• प्रश्नावली 7.1
• प्रश्नावली 7.2
• प्रश्नावली 7.3
• प्रश्नावली 7.4
• प्रश्नावली 7.5
• Assignment based on Chapter 7 in Hindi

Chapter 8: Quadrilaterals

The chapter Quadrilaterals contains only one theorem( “The diagonal divides a parallelogram into two congruent triangles”) for proof. Other will be asked in the form of application and conceptual questions. Questions are on the basis of properties of quadrilaterals and combinations of it with triangles.

• Exercise 8.1
• Exercise 8.2
• Assignment based on Chapter 8 in English
• प्रश्नावली 8.1
• प्रश्नावली 8.2
• Assignment based on Chapter 8 in Hindi

Chapter 9: Areas of Parallelograms and Triangles

The combinations of areas of parallelograms and triangles are given to prove in most of the question. Proof and questions based on “Parallelograms on the same base and between the same parallels have the same area” will be asked. Example of median may be used as theorem in most of the questions.

• Exercise 9.1
• Exercise 9.2
• Exercise 9.3
• Exercise 9.4
• Assignment based on Chapter 9 in English
• प्रश्नावली 9.1
• प्रश्नावली 9.2
• प्रश्नावली 9.3
• प्रश्नावली 9.4
• Assignment based on Chapter 9 in Hindi

Chapter 10: Circles

“Equal chords of a circle subtend equal angles at the center” and “The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle” are given for proof in Circles . The other theorems are important for solving questions based on triangle, quadrilateral and circles.

• Exercise 10.1
• Exercise 10.2
• Exercise 10.3
• Exercise 10.4
• Exercise 10.5
• Exercise 10.6
• Assignment based on Chapter 10 in English
• प्रश्नावली 10.1
• प्रश्नावली 10.2
• प्रश्नावली 10.3
• प्रश्नावली 10.4
• प्रश्नावली 10.5
• प्रश्नावली 10.6
• Assignment based on Chapter 10 in Hindi

Chapter 11: Constructions

There are two categories of constructions . One is Construction of bisectors of line segments and angles of measure 60, 90, 45 etc. The other is construction of a triangle given its base, sum/difference of the other two sides and one base angle & given perimeter and base angles.

• Exercise 11.1
• Exercise 11.2
• Assignment based on Chapter 11 in English
• प्रश्नावली 11.1
• प्रश्नावली 11.2
• Assignment based on Chapter 11 in Hindi

Chapter 12: Heron’s Formula

Use of Heron’s  formula to find the area of triangles, quadrilaterals (dividing it into two triangles) and other polygons. Knowledge of formulae of plane figures will also help in doing questions.

• Exercise 12.1
• Exercise 12.2
• Assignment based on Chapter 12 in English
• प्रश्नावली 12.1
• प्रश्नावली 12.2
• Assignment based on Chapter 12 in Hindi

Chapter 13: Surface Areas and Volumes

Students are familiar with surface areas and volumes as they have already studies mensuration in earlier classes. This chapter also contains problems based on surface areas and volumes of cube, cuboids, cylinders, cones, spheres and hemispheres. Conversion of one figure into the other comparing volumes is also given as an application of mensuration.

• English Medium
• Hindi Medium
• Assignment based on Chapter 13 in English
• Assignment based on Chapter 13 in Hindi

Chapter 14: Statistics

Introduction to statistics includes the presentation of data collected in raw form. Presentation of  data in tabular form by grouping them in proper intervals, drawing a bar graph, histogram or polygon. Finding the measure of central tendency mean, mode and median of raw data.

• Assignment based on Chapter 14 in English
• Assignment based on Chapter 14 in Hindi

Chapter 15: Probability

Probability based on observation or frequency approach. Questions based on real life or day to day incidents. Toss of a coin, throwing a dice, based on deck of cards, etc. questions based on simple events.

• Exercise 15.1
• प्रश्नावली 15.1
• Assignment based on Chapter 15 in English
• Assignment based on Chapter 15 in Hindi

Related Pages:

• Solutions For 9th Science
• Solutions For 9th Social Science
• Solutions For 9th Hindi
• Solutions For 9th English
• CBSE Syllabus 2021 – 2022
• NCERT Solutions for Class 6
• NCERT Solutions for Class 7
• NCERT Solutions For Class 8
• NCERT Solutions for Class 9
• NCERT Solution for Class 10
• NCERT Solutions for Class 11
• NCERT Solutions for Class 12

Class 10 Maths Solutions Chapter 1 Class 10 Maths Solutions Chapter 2 Class 10 Maths Solutions Chapter 3 Class 10 Maths Solutions Chapter 4 Class 10 Maths Solutions Chapter 5

Class 10 Maths Solutions Chapter 6 Class 10 Maths Solutions Chapter 7 Class 10 Maths Solutions Chapter 8 Class 10 Maths Solutions Chapter 9 Class 10 Maths Solutions Chapter 10

Class 10 Maths Solutions Chapter 11 Class 10 Maths Solutions Chapter 12 Class 10 Maths Solutions Chapter 13 Class 10 Maths Solutions Chapter 14 Class 10 Maths Solutions Chapter 15

Class 9 Maths Solutions Chapter 1 Class 9 Maths Solutions Chapter 2 Class 9 Maths Solutions Chapter 3 Class 9 Maths Solutions Chapter 4 Class 9 Maths Solutions Chapter 5

Class 9 Maths Solutions Chapter 6 Class 9 Maths Solutions Chapter 7 Class 9 Maths Solutions Chapter 8 Class 9 Maths Solutions Chapter 9 Class 9 Maths Solutions Chapter 10

Class 9 Maths Solutions Chapter 11 Class 9 Maths Solutions Chapter 12 Class 9 Maths Solutions Chapter 13 Class 9 Maths Solutions Chapter 14 Class 9 Maths Solutions Chapter 15

NCERT Solutions for Class 9 Maths

NCERT Solutions for Class 9 Maths in Hindi and English Medium updated for session 2024-25. Tiwari Academy offers the best NCERT Solutions for Class 9 Maths designed with precision to align with the 9th-grade mathematics textbook from NCERT in India.

NCERT Solutions of Class 9 Maths

Tiwari Academy’s NCERT Solutions are helpful for students seeking clarity in mathematical concepts and problem-solving from their NCERT textbooks.

Class 9 Maths Syllabus for 2024-25 Chapter 1. Number Systems Chapter 2. Polynomials Chapter 3. Coordinate Geometry Chapter 4. Linear Equations in Two Variables Chapter 5. Introduction to Euclid’s Geometry Chapter 6. Lines and Angles Chapter 7. Triangles Chapter 8. Quadrilaterals Chapter 9. Circles Chapter 10. Heron’s Formula Chapter 11. Surface Areas and Volumes Chapter 12. Statistics For other State Boards Chapter 13. Surface Areas and Volumes Chapter 14. Statistics Chapter 15. Probability

The solution is modified and revised as per CBSE and State board 9th Maths curriculum 2024-25 guidelines. Provide feedback and Review for your experience. Class 9 Solution Apps Download Class 9 Math solutions can be found in various formats, including printed books, online resources, and mobile applications. Many websites, like Tiwari Academy, and educational platforms offer free access to these solutions, making them readily available to students seeking additional help and guidance in their mathematics studies.

CBSE Syllabus for Class 9 Maths Revised for 2024-25

• CBSE Syllabus for Class 9 Maths

NCERT solutions are considered very useful for students as they are developed by subject experts based on curriculum prescribed by CBSE. If you are searching for the Class 9 Maths UP Board NCERT Solutions revised for 2024-25 exams, then not to worry, find NCERT textbook solutions for Class 9 Mathematics here for all chapters which will help you a lot in scoring more marks in the examination. They provide a solid foundation for understanding mathematical concepts and enable students to excel in their studies.

NCERT Solution Apps for 9th Class You can get to know about various concepts while solving Class 9 Maths NCERT Solutions , which will be useful in your higher classes. Get Class 9th Maths question answers for the new Academic year based on latest NCERT book syllabus.

Educational apps can send notifications and reminders for important dates, exams, or study schedules, helping students stay organized and on track with their studies. Apps offer progress tracking and performance analytics. Students can monitor their scores, completion of exercises, and areas where they need improvement.

How to Score well in class 9 Maths Exams For a Class 9 student aiming to excel in Maths, a structured approach to learning and practice is key. Start by thoroughly understanding the current syllabus and the fundamental concepts it covers.

Physical exercise, hobbies, or even short walks can be refreshing and help maintain focus during study sessions. Keep a positive mindset and believe in your ability to learn and improve. Regular self-assessment mathematics through quizzes or timed practice sessions can be beneficial. This not only helps in identifying areas that need more attention but also builds confidence.

NCERT Solutions for Class 9 Maths All Chapters

These Chapter Wise NCERT Solutions for Class 9 Maths App is well designed with a simple method so that class 9 students can easily understand each sums solutions. The Class 9th NCERT Math textbook has a total of 12 chapters which are divided into six units. Solving Class 9th Maths solution in each chapter will assure positive results. Chapters covers in the NCERT 9th Math textbook are Number System, Polynomials, Introduction to Euclids Geometry, Quadrilaterals, Surface Areas, Heron’s Formula, and Volumes, Statistics etc. 

NCERT Class 9 Maths Chapters Solutions

Students who are facing any trouble in solving tough Class 9th Maths problems can get best help from these CBSE Maths Class 9 Solutions of NCERT (https://ncert.nic.in/) textbooks. The syllabus contains 12 chapters with important topics. Here all solutions build your fundamental very clear and efficiency by solving theses exercise-wise solutions.

NCERT Solutions for Class 9 Maths Chapter 1 – Number System

NCERT Solutions for Class 9 Maths Chapter 1 introduce you different topics such as rational numbers and irrational numbers. You can learn how to represent the integers, rational and irrational numbers in a line. Here you get an overall knowledge of the number line.

Class 9 Maths Chapter 1 for CBSE Board Class 9 Maths Exercise 1.1 in English Class 9 Maths Exercise 1.2 in English Class 9 Maths Exercise 1.3 in English Class 9 Maths Exercise 1.4 in English Class 9 Maths Exercise 1.5 in English

Class 9 Maths Chapter 1 Solution for State Boards Class 9 Maths Chapter 1 Exercise 1.1 Class 9 Maths Chapter 1 Exercise 1.2 Class 9 Maths Chapter 1 Exercise 1.3 Class 9 Maths Chapter 1 Exercise 1.4 Class 9 Maths Chapter 1 Exercise 1.5 Class 9 Maths Chapter 1 Exercise 1.6

Class 9 Maths Chapter 1 in Hindi Medium Class 9 Maths Exercise 1.1 in Hindi Class 9 Maths Exercise 1.2 in Hindi Class 9 Maths Exercise 1.3 in Hindi Class 9 Maths Exercise 1.4 in Hindi Class 9 Maths Exercise 1.5 in Hindi

There are five exercises in this NCERT Solutions for Class 9 Maths Chapter 1 Number System, where you can also find all word problems based on 9th Class Maths NCERT Book. You can learn from these 9th Class Maths Book Solution, the representation of terminating and non-terminating recurring decimals, presentation of square roots of 2, 3, other non-rational numbers on the number line.

Topics to Study in Class 9 Maths Chapter 1 Number Systems Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers. 2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number. 3. Definition of nth root of a real number. 4. Rationalization (with precise meaning) of real numbers of the type 1/(a + b√x) and 1/(√x + √y) (and their combinations) where x and y are natural number and a and b are integers. 5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

NCERT Solutions for Class 9 Maths Chapter 2 – Polynomials

Get NCERT Solutions for Class 9 Maths Chapter 2 here with free of cost, and all solutions are solved by the professional Maths teacher. Class 9 Maths Chapter 2 for CBSE Board Class 9 Maths Exercise 2.1 in English Class 9 Maths Exercise 2.2 in English Class 9 Maths Exercise 2.3 in English Class 9 Maths Exercise 2.4 in English

Class 9 Maths Chapter 2 Solution for State Boards Class 9 Maths Chapter 2 Exercise 2.1 Class 9 Maths Chapter 2 Exercise 2.2 Class 9 Maths Chapter 2 Exercise 2.3 Class 9 Maths Chapter 2 Exercise 2.4 Class 9 Maths Chapter 2 Exercise 2.5

Class 9 Maths Chapter 2 in Hindi Medium Class 9 Maths Exercise 2.1 in Hindi Class 9 Maths Exercise 2.2 in Hindi Class 9 Maths Exercise 2.3 in Hindi Class 9 Maths Exercise 2.4 in Hindi

This chapter Polynomial consists of variables and coefficients, its operations of addition, subtraction, multiplication and also non-negative integer exponents of variables.

Topics of Class 9 Maths Chapter 2 Polynomials Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax² + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities: (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx (x + y)³ = x³ + y³ + 3xy(x + y) (x – y)³ = x³ – y³ – 3xy(x – y) x³ + y³ = (x + y)(x² – xy + y²) x³ – y³ = (x – y)(x² + xy + y²) x³ + y³ + z³ – 3xyz = (x + y)(x² + y² + z² – xy – yz – 2zx) and their use in factorization of polynomials.

NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry

Students can get NCERT exercises solutions for Class 9 Maths Chapter 3 with free of cost. This chapter 3 introduced the concepts of the cartesian plane, coordinates of a point in the plane, terms, coordinate plan notations, x-axis, y-axis, x- coordinate, y-coordinate, quadrants, origin and many more.

Class 9 Maths Chapter 3 for CBSE Board Class 9 Maths Exercise 3.1 in English Class 9 Maths Exercise 3.2 in English

Class 9 Maths Chapter 3 for State Boards Class 9 Maths Chapter 3 Exercise 3.1 Class 9 Maths Chapter 3 Exercise 3.2 Class 9 Maths Chapter 3 Exercise 3.3

Class 9 Maths Chapter 3 in Hindi Medium Class 9 Maths Exercise 3.1 in Hindi Class 9 Maths Exercise 3.2 in Hindi

In NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry, students learn coordinate plane and the mutually perpendicular lines which are called axe. They downloads NCERT Solutions for Class 9 Maths PDF to learn offline anywhere. Get Chapter Number System Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 3 Coordinate Geometry Main Points The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

NCERT Solutions for Class 9 Maths Chapter 4 – Linear Equations in Two Variables

NCERT Solutions for Class 9 Maths Chapter 4 teaches you here about the knowledge of linear equations in one variable. In this chapter, know about linear equations in two variables, such as ax + by + c = 0. Learn here how to graph of a linear equation in two variables.

Class 9 Maths Chapter 4 for CBSE Board Class 9 Maths Exercise 4.1 in English Class 9 Maths Exercise 4.2 in English

Class 9 Maths Chapter 4 for State Boards Class 9 Maths Chapter 4 Exercise 4.1 Class 9 Maths Chapter 4 Exercise 4.2 Class 9 Maths Chapter 4 Exercise 4.3 Class 9 Maths Chapter 4 Exercise 4.4

Class 9 Maths Chapter 4 in Hindi Medium Class 9 Maths Exercise 4.1 in Hindi Class 9 Maths Exercise 4.2 in Hindi

There are only two exercises in this NCERT Solutions for Class 9 Maths Chapter 9 Linear Equations in Two Variables. Download NCERT Solutions for Class 9 Maths PDF free of cost and study at any time anywhere. Students take the benefits clearing all the concepts of each math sum. Download free unlimited Chapter Linear Equations in Two Variables Class 9 Maths Solutions in Hindi Medium and English Medium.

Topics to be covered in Class 9 Maths Chapter 4 Linear Equations in Two Variables Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c = 0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

NCERT Solutions for Class 9 Maths Chapter 5 – Introduction to Euclid’s Geometry

Get NCERT Solutions for Class 9 Maths Chapter 5 for all exercises. This chapter includes Euclid’s approach to geometry which is used the present-day geometry. In NCERT exercises for Class 9 Maths Introduction to Euclid’s Geometry defining common geometrical shapes and terms.

Class 9 Maths Chapter 5 for CBSE Board Class 9 Maths Exercise 5.1 in English

Class 9 Maths Chapter 5 for State Boards Class 9 Maths Chapter 5 Exercise 5.1 Class 9 Maths Chapter 5 Exercise 5.2

Class 9 Maths Chapter 5 in Hindi Medium Class 9 Maths Exercise 5.1 in Hindi

There is only one exercise in this 9th Class Maths Book Solution which teach you deeper knowledge relation between axiom, postulates, and theorems. Download here Chapter Euclid’s Geometry Class 9 Maths Solutions in Hindi medium and English medium.

Syllabus of Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.

NCERT Solutions for Class 9 Maths Chapter 6 – Lines and Angles

NCERT Solutions for Class 9 Maths Chapter 6 revolves around the theorems present in the topics of Lines and Angles.

Class 9 Maths Chapter 6 Solutions for CBSE Board Class 9 Maths Exercise 6.1 in English Class 9 Maths Exercise 6.2 in English

Class 9 Maths Chapter 6 Solutions for State Boards Class 9 Maths Chapter 6 Exercise 6.1 Class 9 Maths Chapter 6 Exercise 6.2 Class 9 Maths Chapter 6 Exercise 6.3

Class 9 Maths Chapter 6 in Hindi Medium Class 9 Maths Exercise 6.1 in Hindi Class 9 Maths Exercise 6.2 in Hindi

9th Maths Book Solution are provided here are well-reviewed. Get free NCERT Solutions for Class 9 Maths in PDF for offline study. Practice these solutions thoroughly to get maximum marks in the final exam. Download Chapter Lines and Angles Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 6 Lines and Angles Topics 1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and the converse. 2. (Prove) If two lines intersect, vertically opposite angles are equal. 3. (Motivate) Lines which are parallel to a given line are parallel.

NCERT Solutions for Class 9 Maths Chapter 7 – Triangles

Get NCERT Solutions for Class 9 Maths Chapter 7 , and students will study detail knowledge about the triangle, congruence of triangles, rules of congruence, and its properties of triangles and many more.

Class 9 Maths Chapter 7 Solutions for CBSE Board Class 9 Maths Exercise 7.1 in English Class 9 Maths Exercise 7.2 in English Class 9 Maths Exercise 7.3 in English

Class 9 Maths Chapter 7 Solutions for State Boards Class 9 Maths Chapter 7 Exercise 7.1 Class 9 Maths Chapter 7 Exercise 7.2 Class 9 Maths Chapter 7 Exercise 7.3 Class 9 Maths Chapter 7 Exercise 7.4 Class 9 Maths Chapter 7 Exercise 7.5

Class 9 Maths Chapter 7 in Hindi Medium Class 9 Maths Exercise 7.1 in Hindi Class 9 Maths Exercise 7.2 in Hindi Class 9 Maths Exercise 7.3 in Hindi

In this 9th Maths Book Solution, we have to prove the properties of the triangle which you learn about in previous classes. Apply the various congruence rules while solving the problems. In this chapter, students learn about eight theorems. There are three exercises which cover in this NCERT Solutions for Class 9 Maths Chapter 7 Triangles. Get Chapter Triangles Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 7 Triangles Main Points to Study 1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). 2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). 3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence). 4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence) 5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal.

NCERT Solutions for Class 9 Maths Chapter 8 – Quadrilaterals

Find NCERT Solutions for Class 9 Maths Chapter 8 , which covers the topic Quadrilaterals. The joining four points in order is called a quadrilateral.

Class 9 Maths Chapter 8 for CBSE and State Boards Class 9 Maths Exercise 8.1 in English Class 9 Maths Exercise 8.2 in English

Class 9 Maths Chapter 8 in Hindi Medium Class 9 Maths Exercise 8.1 in Hindi Class 9 Maths Exercise 8.2 in Hindi

Class 9 Maths chapter 8 contains two exercises that contain only one theorem to prove. These Solutions include Angle sum property of a Quadrilateral, properties of a parallelogram, and types of quadrilaterals etc. Download here Chapter Quadrilaterals Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 8 Quadrilaterals Focus Points 1. (Prove) The diagonal divides a parallelogram into two congruent triangles. 2. (Motivate) In a parallelogram opposite sides are equal, and conversely. 3. (Motivate) In a parallelogram opposite angles are equal, and conversely. 4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. 5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely. 6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

NCERT Solutions for Class 9 Maths Chapter 9 – Circles

Here get well explained NCERT Solutions for Class 9 Maths Chapter Circles with free of cost and no need to login and register to get solutions for all exercises. In this NCERT Solutions for Class 9 Maths Chapter 9 Circle, learn that circle is a collection of all the points in a plane at a fixed distance.

Class 9 Maths Chapter 9 for CBSE Board Class 9 Maths Exercise 9.1 in English Class 9 Maths Exercise 9.2 in English Class 9 Maths Exercise 9.3 in English

Class 9 Maths Chapter 9 Solutions for State Boards Class 9 Maths Chapter 9 Exercise 9.1 Class 9 Maths Chapter 9 Exercise 9.2 Class 9 Maths Chapter 9 Exercise 9.3 Class 9 Maths Chapter 9 Exercise 9.4

Class 9 Maths Chapter 9 in Hindi Medium Class 9 Maths Exercise 9.1 in Hindi Class 9 Maths Exercise 9.2 in Hindi Class 9 Maths Exercise 9.3 in Hindi

Get knowledge about circle including a Chord at a Point, Equal Chords. There are a total of twelve theorems present in this chapter. Download  NCERT Solutions for Class 9 Maths PDF without any cost and registration. Get Chapter 9 Circles Class 10 Maths Solutions in Hindi medium and English medium here.

Class 9 Maths Chapter 9 Circles Curriculum for 2024-25 1.(Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse. 2.(Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord. 3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely. 4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. 5. (Motivate) Angles in the same segment of a circle are equal. 6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle. 7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

NCERT Solutions for Class 9 Maths Chapter 10 – Heron’s Formula

Students get NCERT Solutions for Class 9 Maths Chapter 10 , which covers Heron’s formula which is used to calculate the area of a triangle with all three sides length is given. By the help of Heron’s Formula, find out distances in the triangle without calculating.

Class 9 Maths Chapter 10 for CBSE Board Class 9 Maths Exercise 10.1 in English

Class 9 Maths Chapter 10 for State Boards Class 9 Maths Chapter 10 Exercise 10.1 Class 9 Maths Chapter 10 Exercise 10.2 Class 9 Maths Chapter 10 Exercise 10.3 Class 9 Maths Chapter 10 Exercise 10.4 Class 9 Maths Chapter 10 Exercise 10.5 Class 9 Maths Chapter 10 Exercise 10.6

Class 9 Maths Chapter 10 in Hindi Medium Class 9 Maths Exercise 10.1 in Hindi

This formula is used to find out the areas of quadrilaterals, the area of triangles and other polygons. There is only one exercise in this NCERT Solutions for Class 9 Maths Chapter 10 Heron’s Formula. Download NCERT Solutions for Class 9 Maths Chapter 12 PDF and learn anytime in desktop or mobile while offline.

Class 9 Maths Chapter 10 Heron’s Formula Main Points To Study Area of a triangle using Heron’s formula (without proof)

NCERT Solutions for Class 9 Maths Chapter 11 – Surface Areas and Volumes

NCERT Solutions for Class 9 Maths Chapter 11 , learn to find the surface areas and volumes of cuboids and cylinders in details. In this NCERT Solutions for Class 9 Maths Chapter 11 Surface Areas and Volumes, learn the surface areas of some other solids such as cones and spheres.

Class 9 Maths Chapter 11 for CBSE Board Class 9 Maths Exercise 11.1 in English Class 9 Maths Exercise 11.2 in English Class 9 Maths Exercise 11.3 in English Class 9 Maths Exercise 11.4 in English

Class 9 Maths Chapter 11 Solutions for State Boards Class 9 Maths Chapter 11 Exercise 11.1 Class 9 Maths Chapter 11 Exercise 11.2

Class 9 Maths Chapter 11 in Hindi Medium Class 9 Maths Exercise 11.1 in Hindi Class 9 Maths Exercise 11.2 in Hindi Class 9 Maths Exercise 11.3 in Hindi Class 9 Maths Exercise 11.4 in Hindi

Here students get detailed knowledge about the surface areas and volumes in earlier classes. There are four exercises in chapter 11 that covers surface areas and volumes of different solids such as cubes, cuboids, hemispheres, spheres, cylinders, cones etc. Download NCERT Solutions for Class 9 Maths PDF here without paying any cost and required no login detail. Get Chapter Surface Areas and Volumes  Class 9 Maths Solutions in Hindi medium and English medium.

The Points to be covered in Class 9 Maths Chapter 11 Surface Areas and Volumes Surface areas and volumes of spheres (including hemispheres) and right circular cones.

NCERT Solutions for Class 9 Maths Chapter 12 – Statistics

These best easy NCERT Solutions for Class 9 Maths Chapter 12 , deals with Statistics which the extraction of meaningful information is studied is known as Statistics.

Class 9 Maths Chapter 12 for CBSE Board Class 9 Maths Exercise 12.1 in English

Class 9 Maths Chapter 12 Solutions for State Boards Class 9 Maths Chapter 12 Exercise 12.1 Class 9 Maths Chapter 12 Exercise 12.2

Class 9 Maths Chapter 12 in Hindi Medium Class 9 Maths Exercise 12.1 in Hindi

Statistics is used in our daily life such as aspects of the life of people, useful to the State etc. These NCERT Solutions for Class 9 Maths Chapter 12 Statistics teaches the different presentation of the data, including the frequency distribution too. Presentation data in tubular and row form and grouping them in a regular interval. Here learn to Mean, Mode and median as well. Get Chapter Statistics Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 12 Statistics Main Points Bar graphs, histograms (with varying base lengths), and frequency polygons.

NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes

Tiwari Academy NCERT solutions on Surface Areas and Volumes based on state board syllabus, Hindi and English medium, 2024-25 session. Achieve mastery in geometry with Tiwari Academy’s expert NCERT Solutions for Class 9 Maths Exercise 13.8, tailored for students in the 2024-2025 session, available in both Hindi and English. Class 9 Maths Chapter 13 for State Boards Class 9 Maths Chapter 13 Exercise 13.1 Class 9 Maths Chapter 13 Exercise 13.2 Class 9 Maths Chapter 13 Exercise 13.3 Class 9 Maths Chapter 13 Exercise 13.4 Class 9 Maths Chapter 13 Exercise 13.5 Class 9 Maths Chapter 13 Exercise 13.6 Class 9 Maths Chapter 13 Exercise 13.7 Class 9 Maths Chapter 13 Exercise 13.8 Class 9 Maths Chapter 13 Exercise 13.9

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

Access Class 9 Maths Chapter 14 Statistics solutions in Hindi and English. Perfect for CBSE students, our resources at Tiwari Academy are comprehensive and user-friendly. Class 9 Maths Chapter 1 Solution for State Boards Class 9 Maths Chapter 14 Exercise 14.1 Class 9 Maths Chapter 14 Exercise 14.2 Class 9 Maths Chapter 14 Exercise 14.3 Class 9 Maths Chapter 14 Exercise 14.4

NCERT Solutions for Class 9 Maths Chapter 15 Probability

Master Class 9 Maths with Chapter 15 Probability solutions, available in English and Hindi. Excel in CBSE exams with Tiwari Academy’s expert resources. Clear, concise, and free – your key to understanding Probability concepts. Class 9 Maths Chapter 15 Solutions for State boards Class 9 Maths Chapter 15 Exercise 15.1

Importance of NCERT Solutions for Class 9 Maths

NCERT stands for National Council of Educational Research and Training. NCERT was formed to give standard the education system of India. NCERT Solutions for Class 9 Maths is very helpful will provide you with a detailed and in-depth understanding of all the questions and concepts of NCERT Textbooks. Excluding that there are so many other benefits of NCERT Solutions for Class 9 Maths.

Explain Each And Every Concept in Detail NCERT Solutions for Class 9 Maths explain each and every concept in detail and in easy language. It helps you and so important for better understanding and scoring good marks in 9 class exams.

Most Accurate Solutions All the NCERT Solutions for Class 9 Maths for all chapters are provided by the many years experienced teachers. All solutions are well-reviewed before provided. Students who have misguided by the wrong study materials before can study with these most accurate NCERT Solutions for Class 9 Maths.

Student can learn Offline NCERT Solutions for Class 9 Maths for all chapters PDFS are available, so learn these subjects offline also by just downloading these PDFs. You can study anywhere and anytime.

Clear all Doubts Class 9 Students who have confusion with many topics in class 9 Maths, they can learn with these NCERT Solutions for Class 9 Maths for all chapters. These solutions are given in easy method, and it clear your all doubts and concepts clear.

Created the Best Subject Experts in Field Class 9 Maths solution provided by an expert math teacher who has been created by the high-quality subject matter experts. So get more marks with these high-quality study materials. All solutions are designed by following extensive research on the Math subject. Be able to solve a wide range of problems at any difficulty level.

How are CBSE 9 Maths Solutions of NCERT Helpful for Final Exams?

CBSE 9 Maths Solutions of NCERT is sufficient to score more in 9th boards exams. With NCERT Solutions for Class 9 Maths , students will get complete guidance on every topics and sub-topics related to the respective chapter.

It is an effective and the best way to make students understand the subject and exclusively to perform well in the final exams. CBSE 9 Maths Solutions of NCERT are very helpful to get full marks in the final exam, but Just make sure you cover all the exercise and learn the theorems of the whole syllabus. Also, do not skip any topic of CBSE 9th Maths syllabus .

A panel of experts from Tiwari Academy held a workshop of two days and thoroughly discussed the content quality and made some suggestions . Amendments were carried out in the English as well as Hindi draft accordingly.

The final draft was thus prepared. The solutions are prepared according to new syllabus for 2024-25 having classical approach of constructions and geometrical chapters. Get here UP Board Secondary Education (High School) Solution, Sample Papers, Notes and other study material.

How to practice Class 9 Maths using NCERT Solutions?

According to new NCERT Textbooks published for academic session 2024-25, the syllabus for class 9 Maths is reduced significantly. That is why, the NCERT Solutions for class 9 Maths is also modified and revised as per new session. NCERT Solutions play a significant role in helping students score well in their Class 9 CBSE (Central Board of Secondary Education) Mathematics exams. Follow the steps given here to know how you can score well in exams using class 9 Maths solutions.

Step 1: Use NCERT Solutions for Comprehensive Coverage of class 9 Maths textbook.

Step 2: verify your answers and learn about the exam pattern., step 3: revise the syllabus and use class 9 maths ncert solution as a revision aid., step 4: make effective self study in 9th maths using ncert solutions., step 5: confined to new rationalised ncert textbooks and solve it using ncert solutions..

How many chapters are there in NCERT Class 9 Maths?

According to new syllabus, there are a total of 12 chapters present in the NCERT Class 9 Maths. 

• Chapter 1- Number System,
• Chapter 2- Polynomials, 
• Chapter 3- Coordinate Geometry, 
• Chapter 4- Linear Equations in Two Variables, 
• Chapter 5- Introduction to Euclid’s Geometry, 
• Chapter 6- Lines and Angles, 
• Chapter 7- Triangles, 
• Chapter 8- Quadrilaterals, 
• Chapter 9- Circles, 
• Chapter 10- Heron’s Formula, 
• Chapter 11- Surface Areas and Volumes, 
• Chapter 12- Statistics, 

These are the chapters in Class 9 of NCERT Maths. And you need to cover all the chapters to get full marks in your final exam.

How can I get more than 80% marks in Class 9 Maths Exams?

Most of the chapters in Class 9 Maths are easy to understand. If we try to learn by doing, the mathematics become simple and interesting subject otherwise it would be a burden for us. Get concentrated on your NCERT Textbook 2024-25 and start practicing with understanding to score well with less efforts. How to practice questions: Read the preface of the chapter and see the pattern of each example given before the exercises. Now taking the hints from these solved example, try to solve the questions of exercises by own. Don’t take help from teachers or online website when your are solving the questions. After trying many time if still not getting the correct answers, then consult your respective teacher or visit to Tiwari Academy to take help from PDF Solutions or videos solutions.

Is class 9 maths tough?

In real maths of class, 9th and 10th are both very easy. But practically you can say class 9th maths is tough for you because you introduced some new topics and topics in the advanced level study here. In previous classes like 8th, 7th and 6th, the maths you study is very basic and somehow simple. So your mindset is for that simple maths method with very fewer logics and formulas. Some student class 9 get confusion with the syllabus.

How can I perform best in Terminal exams of Class 9 Maths?

There are so many chapters in class 9 Maths which are easy and interesting to work with. When you are in energetic mood, start doing the chapter which you considered as difficult one but if you are tired and still want to practice mathematics, start with an easier chapter. Studying in this manner make the mathematics interesting and easier.

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Providing help in science for class 6 to 10. Adviser in Tiwari Academy for the science related subjects subject as well as videos contents. Ample teaching experience in schools. I am not only working for Tiwari Academy but also provide new ideas for the website and apps.

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• RD Sharma Solutions

RD Sharma Solutions for Class 9 Maths

Rd sharma solutions for class 9 maths – chapter-wise free pdf download updated for (2023-24).

RD Sharma Solutions for Class 9 Maths are available in PDF format, which can be downloaded effortlessly by the students. The chapter-wise solutions are prepared in a step-wise manner to boost the exam preparations of students. The main aim is to help students self analyse the areas which require more practice from the exam point of view. With the help of RD Sharma Solutions , students can solve the exercise problems in a shorter duration, with a clear idea of the concepts.

The solutions PDF is a major reference guide to help students score well in the Class 9 examination. Solving the exercise-wise problems daily using the RD Sharma Solutions for Class 9 Maths helps students improve their problem-solving and logical thinking skills, which are important to obtain a better academic score. There are a total of 25 Chapters in the Class 9 CBSE textbook of RD Sharma.

RD Sharma Chapter-wise Solutions for Class 9 Maths

The students can access the various study materials that are available online, which include previous years’ question papers, worksheets and sample papers. Students can make use of RD Sharma Class 9 Sample Papers Solutions to get knowledge about the exam pattern of the current CBSE  board.

Download Class 9 RD Sharma Solutions to speed up the exam preparations.

RD Sharma Solutions for Class 9 Maths – Exercise-wise Solutions

Students can use chapter-wise RD Sharma Solutions for Class 9 PDF to obtain better conceptual knowledge that is required to solve the problems of the RD Sharma textbook. The main aim is to boost confidence, which is important among students before appearing for the exams.

RD Sharma Solutions for Class 9 Maths Chapter 1 – Number System

Chapter 1 of the RD Sharma textbook provides us with the knowledge of Number Systems , including rational and irrational numbers, representing the numbers on a number line, real numbers, rationalisation and laws of exponents. Shortcut methods and tricks are provided, which include formulas that are used in solving chapter-wise problems, as per the latest CBSE syllabus.

• Number System: A number system is a system of writing in order to express numbers. It is the mathematical notation to represent numbers of a given set using digits or other symbols in a consistent manner.
• Rational Numbers: A rational number is defined as a number which is represented in the form of p/q where q ≠ 0. We can also say that any fraction fits under the category of rational numbers, where the denominator and numerator are integers, and the denominator is not equal to zero.
• Irrational Numbers: Irrational numbers are real numbers that cannot be represented as simple fractions. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.
• Real Numbers: Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”.

The exercise-wise solution links covered in this chapter are provided below.

Also, access the following resources for Class 9 Chapter 1 Number System at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 1 Number Systems
• NCERT Exemplar Solutions for Class 9 Maths Chapter 1 – Number Systems

RD Sharma Solutions for Class 9 Maths Chapter 2 – Exponents of Real Numbers

Chapter 2 of the RD Sharma textbook contains problems based on important topics like Integral Exponents of a Real Number , Laws of Integral Exponents, and Rational Exponents of a Real Number. These topics are explained by experts according to the understanding level of students.

• Exponents: Exponents are used to show the repeated multiplication of a number by itself.
• Laws of exponents:

1. Product with same bases: As per this law, for any non-zero term a,

a m ×a n  = a m+n

Where m and n are real numbers.

2. Quotient with same bases: As per this rule,

a m /a n  = a m-n

Where a is a non-zero term and m and n are integers.

3. Power raised to a power: According to this law, if ‘a’ is the base, then the power raised to the power of base ‘a’ gives the product of the powers raised to the base ‘a’, such as

(a m ) n = a mn

4. Product to a power: As per this rule, for two or more different bases, if the power is the same, then

a n  b n  = (ab) n

Where a is a non-zero term and n is the integer.

5. Quotient to a power: As per this law, the fraction of two different bases with the same power is represented as

a n /b n  = (a/b) n

Where a and b are non-zero terms and n is an integer.

6. Zero Power: According to this rule, when the power of any integer is zero, then its value is equal to 1, such as;

a 0  = 1

where ‘a’ is any non-zero term.

7. Negative Exponent Rule: According to this rule, if the exponent is negative, we can change the exponent into positive by writing the same value in the denominator, and the numerator holds the value 1.

The negative exponent rule is given as

a -m  = 1/a m

8. Fractional Exponent Rule: The fractional exponent rule is used, if the exponent is in the fractional form. The fractional exponent rule is given by

Students can find the links of solutions for exercise-wise problems that are present in this chapter.

RD Sharma Solutions for Class 9 Maths Chapter 3 – Rationalisation

Chapter 3 of the RD Sharma textbook has concepts explained in a step-wise manner. This chapter contains problems based on identities and the Rationalisation of Denominator . Various illustrative examples before each exercise help students understand the method of solving problems.

• Rationalisation of the denominator: We rationalise the denominator when the fraction given has a radical term or a surd in the denominator.
• (a + b) 2 = a 2 + b 2 + 2ab
• (a – b) 2 = a 2 – 2ab + b 2
• (a 2  – b 2 ) = (a + b) (a – b)

Given here are some of the links to exercise-wise solutions presented in Chapter 3.

RD Sharma Solutions for Class 9 Maths Chapter 4 – Algebraic Identities

This chapter consists of exercise-wise problems that are solved based on concepts like Identities, Identity for the square of a trinomial, Identity for the cube of a binomial, Sum and Difference of Cubes and One More Identity. The solutions of Algebraic Identities are well structured in an interactive manner as per the latest CBSE syllabus . Students can make use of the solutions PDF to score well in the Class 9 exams.

• (a – b) 2  = a 2  + b 2  – 2ab
• (a – b) (a + b) = a 2  – b 2
• a 2 + b 2 +2ab = (a+b) 2
• (x + y + z) 2  = x 2  + y 2  + z 2  + 2xy + 2yz + 2xz
• (a + b) 3  = a 3  + b 3  + 3ab (a + b)
• (a – b) 3  = a 3  – b 3  – 3ab (a – b)
• a 3  + b 3  = (a + b) (a 2  + b 2  – ab)
• a 3  – b 3  = (a – b) (a 2  + b 2  + ab)

Chapter 4 has 5 exercises and 1 VSAQ exercise whose solution links are provided below.

RD Sharma Solutions for Class 9 Maths Chapter 5 – Factorisation of Algebraic Expressions

This chapter explains basic concepts like types of factorisation, factorisation as a sum or difference of two cubes, factorisation using the formulae for the cube of a binomial, and factorisation of algebraic expressions . Students can solve the exercise-wise problems of this chapter using the RD Sharma Solutions prepared by experienced faculty.

• Factorisation: Factorisation or factoring is the decomposition or breaking of an entity into a product of another entity, or factors, which, when multiplied together, gives the original number or a matrix, etc.
• Method of common factors: We take out the common factors in each term of the given expression.
• Method of grouping terms: Grouping refers to arranging the expression as like terms or similar terms.
• Factorisation using identities: Using the common identities, the given expression can be factorised.
• Factors of the form (x + a) (x + b): If the given expression is in the form of x 2  + (a + b) x + ab, then the factors will be (x+a) and (x + b).

The links for the exercise-wise solutions are provided below.

RD Sharma Solutions for Class 9 Maths Chapter 6 – Factorisation of Polynomials

The exercise-wise solutions are designed by experts at BYJU’S after conducting research on each topic. Chapter 6 of the RD Sharma textbook explains the major topics like definitions, zeros of a polynomial, the Remainder Theorem, the Factor Theorem and the Factorisation of polynomials using the factor theorem.

• Term: It is a number, a variable, a product of two or more variables, or a product of a number and a variable. By a single term or by a group of terms, an algebraic expression is formed.
• Coefficient: A coefficient is an integer that is written along with a variable or multiplied by the variable.  It is the numerical factor of a term having constants and variables.
• Polynomial: An expression having more than two algebraic terms, i.e., the sum (or difference) of several terms which contain different powers of the same or different variable(s).
• Degree of a Polynomial: It is the highest power of the variable in a polynomial expression.

Given below are the solution links of the exercise-wise problems covered in this chapter.

Also, access the following resources for Class 9 Chapter 6 Factorisation of Polynomials at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 2 – Polynomials
• NCERT Exemplar Class 9 Maths Solutions for Chapter 2 – Polynomials

RD Sharma Solutions for Class 9 Maths Chapter 7 – Introduction to Euclid’s Geometry

The 7th chapter of the RD Sharma textbook explains to students the Axioms and Theorems, Incidence Properties, Parallel and Intersecting Lines, Line Segment , Length Axioms and Plane. The solutions are available with pictorial representation in order to make it easy for the students. The solutions PDF can be downloaded by the students, which is a major source of reference material.

Euclidean Axioms

• Things which are equal to the same thing are equal to one another.
• If equals are added to equals, the wholes are equal.
• If equals are subtracted from equals, the remainders are equal.
• Things which coincide with one another are equal to one another.
• The whole is greater than the part.
• Things which are double the same things are equal to one another.
• Things which are halves of the same things are equal to one another

Solution links of the exercises prepared by experts at BYJU’S are available below.

Also, access the following resources for Class 9 Chapter 7 Introduction to Euclid’s Geometry at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry
• NCERT Exemplar Solutions for Class 9 Maths Chapter 5 – Introduction to Euclid’s Geometry

RD Sharma Solutions for Class 9 Maths Chapter 8 – Lines and Angles

The 8th chapter of the RD Sharma textbook provides students with knowledge about the types of angles and their relations and results on parallel lines. The solutions contain pictorial representations of lines and angles to make it easier for the students to grasp. The solutions PDF designed by subject matter experts helps students gain better knowledge about concepts.

• Lines: It is a one-dimensional figure which has length but no width. It is made of a set of points that is extended infinitely in opposite directions. It is found by two points in a two-dimensional plane.
• Linear Pair of Angles: Linear pair of angles   are formed when two lines intersect each other at a single point. The angles are linear if they are adjacent to one another after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180° and is known as supplementary angles.
• Vertically Opposite Angles: When two lines intersect each other, then the opposite angles which are formed by intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

The links for the solutions prepared by experts at BYJU’S are provided below.

Also, access the following resources for Class 9 Chapter 8 Lines and Angles at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 6 – Lines and Angles
• NCERT Exemplar Solutions for Class 9 Maths Chapter 6 – Lines and Angles

RD Sharma Solutions for Class 9 Maths Chapter 9 – Triangle and Its Angles

Triangles and other concepts essential to determine the angles and sides are discussed here in understandable language. This chapter covers concepts like types of triangles based on angles and sides, along with the interior and exterior angles. The solutions are prepared according to the understanding level of students, which is important in solving exercise-wise problems.

• Triangle: A triangle is a three-sided polygon that has three vertices and three sides.

Types of triangles

• Scalene triangle: A scalene triangle has all three sides of different measures.
• Isosceles triangle: An isosceles triangle has two sides of equal length.
• Equilateral triangle: An equilateral triangle has all three sides equal to each other.
• Acute angled triangle: An acute-angled triangle has all angles less than 90 0 .
• Right-angled triangle: A right-angled triangle has one of the angles as 90 0 .
• Obtuse angled triangle: An obtuse angle triangle has one of its angles greater than 90 0 .

Also, access the following resources for Class 9 Chapter 9 Triangle and its Angles at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 7 – Triangles
• NCERT Exemplar Solutions for Class 9 Maths Chapter 7 – Triangles

RD Sharma Solutions for Class 9 Maths Chapter 10 – Congruent Triangles

The primary objective of providing exercise-wise solutions is to help students score well in the exams. This chapter has important concepts like the  congruence of triangles , line segments, angles, congruence criteria and inequality relations. Students can make use of solutions PDF to gain a hold on concepts and score well in the exam.

• SSS (Side-Side-Side): If all the sides of two triangles are equivalent, then triangles are said to be congruent.
• SAS (Side-Angle-Side): If two sides and an interior angle of a triangle are equal to the corresponding sides and an interior angle of the other triangle, then both triangles are said to be congruent.
• ASA (Angle-Side-Angle): If two angles and included side of one triangle are equal to the corresponding two angles and included side of another triangle, then the triangles are congruent.
• RHS (Right angle- Hypotenuse-Side): If in two right-angled triangles, the hypotenuse and any one side of a triangle are equivalent to the hypotenuse and one side of the other triangle, then both triangles are said to be congruent.

Chapter 10 exercise solution links for the topics discussed in this chapter are given below.

Also, access the following resources for Class 9 Chapter 10 Congruent Triangles at BYJU’S.

RD Sharma Solutions for Class 9 Maths Chapter 11 – Co-ordinate Geometry

Chapter 11 Co-ordinate Geometry tells us about the rectangular or cartesian coordinates of a point and the plotting of points. These concepts are explained in an interactive manner by the experts at BYJU’S to help students perform well in the exam. Shortcut tips and important formulas are explained to help students remember them.

• Co-ordinate Geometry: Coordinate geometry is the study of geometry using coordinate points.
• Cartesian Co-ordinate System: A Cartesian coordinate system, or Coordinate system, is mainly used to locate the position of a point, and it can be plotted as an ordered pair (x, y) called Coordinates.

Also, access the following resources for Class 9 Chapter 11 Co-ordinate Geometry at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry
• NCERT Exemplar Class 9 Maths Solutions for Chapter 3 – Coordinate Geometry

RD Sharma Solutions for Class 9 Maths Chapter 12 – Heron’s Formula

Chapter 12 Heron’s Formula of the RD Sharma textbook explains basic topics like the introduction, Heron’s formula and its applications. The solutions are prepared by teachers having experience in the education industry to improve problem-solving abilities among students.

• Heron’s Formula – It is used to determine the area of a triangle when the length of its sides is known. It is also known as the Hero’s Formula.
• Area of triangle using three sides = \(\begin{array}{l}\sqrt{s(s-a)(s-b)(s-c)}\end{array} \)
• Semiperimeter S = Perimeter of triangle/2 = (a + b + c)/2

Where a, b and c are the three sides of the triangle.

The solution links for the textbook problems are available below.

Also, access the following resources for Class 9 Chapter 12 Heron’s Formula at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 12 Heron’s Formula
• NCERT Exemplar Solutions Class 9 Mathematics Chapter 12 Heron’s Formula

RD Sharma Solutions for Class 9 Maths Chapter 13 – Linear Equations in Two Variables

The concepts based on Linear Equations are discussed in this chapter in simple language. This chapter consists of topics like Linear Equations in two variables , solution of a linear equation, Graph of a linear equation in two variables and equations of lines parallel to the X-axis and Y-axis.

• Linear equations: These are the equations of the first order. The linear equations are defined for the lines in the coordinate system. If the equation has a homogeneous variable of degree 1, then it is called a linear equation in one variable.
• Linear equations in two variables:  It explains the geometry of lines or the graph of two lines which is plotted to solve the equations.

The exercise-wise solution links of exercises covered in this chapter are provided below.

Also, access the following resources for Class 9 Chapter 13 Linear Equations in Two Variables at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 4 – Linear Equations in Two Variables
• NCERT Exemplar Solutions for Class 9 Maths Chapter 4 – Linear Equations in Two Variables

RD Sharma Solutions for Class 9 Maths Chapter 14 – Quadrilaterals

Quadrilaterals are one of the important concepts in Class 9, as they will be continued in higher classes as well. Chapter 14 has problems solved using important topics like Quadrilateral and some terms associated with it, Angle sum property, Types of quadrilaterals, Properties of a parallelogram, Properties of a rectangle, rhombus, a square and useful facts about a triangle.

• Quadrilaterals : A quadrilateral is a plane figure which has four edges or sides and also has four vertices or corners.
• Types of Quadrilaterals: The types of quadrilaterals are trapezium, parallelogram, squares, rectangle, rhombus and kite.

Conditions for a quadrilateral to be a parallelogram

• The opposite side of the parallelogram is of the same length.
• The opposite sides are parallel to each other.
• The diagonals of a parallelogram bisect each other.
• The opposite angles are of equal measure.
• The sum of two adjacent angles of a parallelogram is equal to 180 degrees.

The solution links to the exercises of Chapter 14 are available here.

Also, access the following resources for Class 9 Chapter 14 Quadrilaterals at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals
• NCERT Exemplar Solutions for Class 9 Maths Chapter 8 – Quadrilaterals

RD Sharma Solutions for Class 9 Maths Chapter 15 – Areas of Parallelograms and Triangles

Chapter 15 of the RD Sharma textbook has 3 exercises based on important topics like figures on the same base and between the same parallels, polygonal regions and area axioms. Various shortcut methods are also available to help students grasp the formulas used in solving the problems of parallelograms and triangles. The exercise-wise problems are as per the CBSE guidelines that can be solved easily using the solutions PDF.

• Parallelogram: A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.
• Triangle: A triangle is a three-sided polygon that has three vertices and three edges.
• Area of a parallelogram: It is the region covered by a parallelogram in a two-dimensional plane.

Area = b × h square units

Where “b” is the base and “h” is the height of the parallelogram.

• Area of a triangle: It is defined as the total region which is enclosed by the three sides of any particular triangle. It is equal to half of the base times height, i.e., A = 1/2 × b × h.

To find the area of a tri-sided polygon, we have to know its base (b) and height (h) of it .

Given below are the solution links for the exercises covered in this chapter.

Also, access the following resources for Class 9 Chapter 15 Areas of Parallelograms and Triangles at BYJU’S.

• Areas of Parallelograms and Triangles Class 9 Notes: Chapter 9
• NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles

RD Sharma Solutions for Class 9 Maths Chapter 16 – Circles

Students can access chapter-wise solutions of the RD Sharma textbook as per the latest CBSE syllabus available in PDF format. Chapter 16 mainly deals with important definitions, arcs of a circle, chord and segment of a circle , congruence of circles and arcs, some results on equal chords, arcs and angles subtended by them and cyclic quadrilateral.

• Circle: It is a kind of ellipse in which the two foci are coincident, and the eccentricity is zero. It is termed the locus of the points, which is drawn at an equidistant from the centre.
• Concentric circles: It is defined as two or more circles that contain the same centre point. The region between the two concentric circles is of different radii called an annulus.
• Chord of a circle: It is defined as the line segment which joins any two points on the circumference of a circle.
• Segment of a circle: It is defined as the region which is bounded by a chord and a corresponding arc lying between the endpoints of the chords.

Students can download solutions to exercise-wise problems solved by subject experts from the links given below.

Also, access the following resources for Class 9 Chapter 16 Circles at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 10 Circles
• NCERT Exemplar Solutions for Class 9 Maths Chapter 10 – Circles

RD Sharma Solutions for Class 9 Maths Chapter 17 – Constructions

In this chapter, students will gain knowledge about simple and basic constructions with the help of a ruler and a pair of compasses. This chapter helps students understand basic constructions, the construction of standard angles and the construction of triangles . The solutions are explained in a step-by-step manner to help students gain conceptual knowledge, which is important from the exam point of view.

• Bisector:  It is a line that divides the line into two equal or different parts.
• Line segment: It is bounded by two distinct points on a line.
• Line segment bisector and angle bisector: A line that passes through the midpoint of the line segment is called the line segment bisector, whereas the line which passes through the apex of an angle is called an angle bisector.

Students can use the links provided below to download the solutions to exercise-wise problems covered in this chapter.

Also, access the following resources for Class 9 Chapter 17 Constructions at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 11 Constructions
• NCERT Exemplar Solutions for Class 9 Maths Chapter 11 – Constructions

RD Sharma Solutions for Class 9 Maths Chapter 18 – Surface Area and Volume of a Cuboid and a Cube

Chapter 18 Surface Area and Volume of a Cuboid and a Cube of the RD Sharma textbook has concepts like units of measurement of area and volume, cuboid and cube, surface area and lateral surface area of a cuboid and a cube and volume of a cuboid. The team of expert faculty at BYJU’S creates solutions based on the current CBSE syllabus and guidelines. Students can avail free solutions PDF easily and refer to them while solving problems.

• The volume of a cuboid: A cuboid is a three-dimensional shape, to determine the volume of a cuboid, we have to know its Length, Width and Height.

Volume = Length × Height × Width

• Surface area of a cuboid: The total surface area of a cuboid is the sum of the areas of its six faces.

Surface Area = 2 (length.width + width.length + height.length)

• Surface area of a cube: The surface area of a cube is the area of the six squares that cover it.

Surface Area =  6(Side) 2

• Volume of a cube:  (Side) 3

The solution links for exercises discussed in this chapter are provided below.

Also, access the following resources for Class 9 Chapter 18 Surface Area and Volume of a Cuboid and a Cube at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes
• NCERT Exemplar Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volume

RD Sharma Solutions for Class 9 Maths Chapter 19 – Surface Area and Volume of a Right Circular Cylinder

This chapter consists of important problems and formulas used in determining the surface area and volume of a right circular cylinder . The solutions contain step-wise explanations to help students score well in the board exam. Students can improve their analytical thinking and problem-solving abilities by using PDF as a major source of reference material.

• Surface area of a cylinder = 2πr (r + h)
• Volume of a cylinder = πr 2 h

Where r = Radius of the cylinder and

h = Height of the cylinder.

Here, the students can obtain solutions to exercises in PDF format from the links given below.

Also, access the following resources for Class 9 Chapter 19 Surface Area and Volume of a Right Circular Cylinder at BYJU’S.

RD Sharma Solutions for Class 9 Maths Chapter 20 – Surface Area and Volume of a Right Circular Cone

The main concepts discussed in this chapter are a right circular cone , surface area and volume. The set of experienced faculty at BYJU’S design the solutions keeping in mind the understanding abilities of students. The primary aim of providing chapter-wise solutions is to help students ace the exam.

• Total surface area : The total area which is occupied by the surface, including the curved part and the base(s).

Total surface area = πr(r + l)

• Curved surface area: The area which is occupied by the surface, excluding the base(s), is called a curved surface area.

Curved surface area = πrl

• Volume:  The space which is occupied by an object and is measured in cubic units.

Volume = 1/3πr 2 h

The solutions PDF links of exercises in this chapter are available below for free download.

Also, access the following resources for Class 9 Chapter 20 Surface Area and Volume of a Right Circular Cone at BYJU’S.

RD Sharma Solutions for Class 9 Maths Chapter 21 – Surface Area and Volume of a Sphere

In this chapter, students learn about a new geometrical figure called a sphere. It is mainly a three-dimensional object which has volume and surface area. Sphere, the section of a sphere by a plane, surface area and volume are the main concepts discussed in brief under this chapter.

• Surface area of a sphere = 4πr 2
• Surface area of the hemisphere = 2πr 2
• Surface area of solid hemisphere = 3πr 2
• Volume of a sphere = 4/3πr 3  Cubic Units

Students can access the free PDF of exercise-wise solutions from the links provided below.

Also, access the following resources for Class 9 Chapter 21 Surface Area and Volume of a Sphere at BYJU’S.

RD Sharma Solutions for Class 9 Maths Chapter 22 – Tabular Representation of Statistical Data

The tabular representation of statistical data is necessary in order to make it easier for the observer to understand. In this chapter, students understand the steps to be followed to represent the data in tabular form. Statistics, statistical data, presentation of data, frequency distribution, construction of frequency distribution table  and cumulative frequency distribution.

• Statistics: It is the study of the collection, analysis, interpretation, presentation and organisation of data.
• Presentation of Data: After the collection of data, it can be arranged in tabular form to observe their features and study them. It is known as the presentation of data.
• Array: When the raw data is arranged in an ascending or descending order of magnitude, it is known as an array or arrayed data.
• Frequency of the observation: The number of times an observation occurs in the given data is known as the frequency of the observation.

To score well in Class 9 final exam, students can download the solutions from the PDF links given below.

Also, access the following resources for Class 9 Chapter 22 Tabular Representation of Statistical Data at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 14 Statistics
• NCERT Exemplar Class 9 Maths Solutions for Chapter 14 – Statistics and Probability

RD Sharma Solutions for Class 9 Maths Chapter 23 – Graphical Representation of Statistical Data

Chapter 23 of the RD Sharma textbook has topics like graphical representation of data, bar graph, histogram and method of constructing a frequency polygon. The solutions are prepared as per the latest CBSE syllabus and exam pattern. Students can download the solutions and refer to them to solve the exercise-wise problems.

• Graphical Representation: It is the way of analysing the given numerical data. It shows the relation between ideas, data, concepts and information in a diagram.
• Bar Graph: The pictorial representation of data, in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data, is the bar graph. They are also called bar charts.
• Histogram: It is a graphical representation of a grouped frequency distribution with continuous classes. It is an area diagram that can be defined as a set of rectangles having bases along with the intervals between class boundaries and with areas proportional to frequencies in the corresponding classes.
• Frequency Polygon: A frequency polygon is identical to a histogram used to compare sets of data or to display a cumulative frequency distribution. It makes use of a line graph to represent quantitative data.

Exercise-wise solutions PDF of Chapter 23 links are provided below for free download.

RD Sharma Solutions for Class 9 Maths Chapter 24 – Measures of Central Tendency

Chapter 24 of the RD Sharma textbook explains important and basic concepts like measures of central tendency , the arithmetic mean of grouped data and the median. The concepts are explained by expert faculty at BYJU’S in simple language, which matches the understanding capacity of students.

• Central Tendency: It is the statistical measure that represents the single value of the entire distribution or a dataset. It aims to provide a correct description of the entire data in the distribution.
• Measure of Central Tendency: The central tendency of the dataset can be determined using the three important measures, namely mean, median, and mode.
• Mean: It is equal to the sum of all the values in the collection of data divided by the total number of values.

If we have n values in a set of data, i.e., x 1 , x 2 , x 3 , ….. x n , then the mean is

It can also be denoted as

• Median: If the data collection is arranged in ascending or descending order, the following method is applied:

If the number of values is odd, then the median is

If the number of values is even, then the median is

• Mode: The most frequent number which occurs in the data set is called the mode.

The solution links to the exercises of Chapter 24 are provided below in PDF format.

RD Sharma Solutions for Class 9 Maths Chapter 25 – Probability

Probability is an important chapter in Class 9, as the methods used here are discussed in higher classes also. The problems of this chapter are solved by subject-matter experts having vast experience in their respective fields. The concepts which are explained here are some of the terms related to probability and operations. The students can get answers to questions in the exercises of Chapter 25 by clicking on the chapter link.

• Probability: It is the measure of the likelihood of an event occurring. Many events cannot be predicted with total certainty.
• Experimental or empirical approach to probability: Experimental or empirical probability is the probability of an event based on the results of an actual experiment conducted several times.
• Trial: An experiment is repeated a fixed number of times, and each repetition is known as a trial.
• Compound Events: Contrary to the simple event, if any event consists of more than one single point of the sample space, then such an event is called a compound event.

Also, access the following resources for Class 9 Chapter 25 Probability at BYJU’S.

• NCERT Solutions for Class 9 Maths Chapter 15 Probability
• NCERT Exemplar Class 9 Maths Solutions for Chapter 14 – Statistics And Probability

Regular practice of the chapter-wise problems in the RD Sharma textbook is important to help students score well in the Class 9 exam. The faculty having vast knowledge about the concepts, have prepared chapter-wise RD Sharma Solutions for Class 9, which can be used to solve problems of higher difficulty. The illustrative examples before the exercise-wise problems in each chapter help students boost their problem-solving and time-management skills.

Benefits of RD Sharma Solutions for Class 9 Maths

• Free download is provided to the students for both chapter-wise and exercise-wise problems.
• Pictorial representation helps students to grasp the concepts in a shorter duration.
• The solutions designed by teachers are accurate and according to the current CBSE board.
• Students can self analyse their areas of weaknesses and work on them to score well in the exam.

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• Gujarat Board Textbook Solutions Class 8
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GSEB Solutions Class 9 Maths Gujarat Board Digest

Educational experts at GSEBSolutions.com have prepared GSEB Gujarat Board Textbook Solutions Class 9 Maths PDF Free Download in English Medium and Gujarati Medium are part of Gujarat Board GSEB Textbook Solutions Class 9 as per the new NCERT syllabus.

Students can find out the Gujarat Board Textbook Solutions for Class 9 GSEB Maths Digest of Gujarat Board Textbook Std 9 Maths Solutions, GSEB Std 9 Maths Textbook Solutions Guide, Questions and Answers, Chapter Wise Notes Pdf, Model Question Papers, Study Material to help students by providing a step-by-step explanation to every question given in the textbook.

Students can also check out the GESB Textbook Solutions Class 9 Science  here that will help you prepare for the exams.

GSEB Class 9 Maths Textbook Solutions Gujarat Board in English Medium

GSEB Textbook Solutions Class 9 Maths Chapter 1 Number systems

• Chapter 1 Number Systems Ex 1.1
• Chapter 1 Number Systems Ex 1.2
• Chapter 1 Number Systems Ex 1.3
• Chapter 1 Number Systems Ex 1.4
• Chapter 1 Number Systems Ex 1.5
• Chapter 1 Number Systems Ex 1.6

Gujarat Board Textbook Solutions Class 9 Maths Chapter 2 Polynomials

• Chapter 2 Polynomials Ex 2.1
• Chapter 2 Polynomials Ex 2.2
• Chapter 2 Polynomials Ex 2.3
• Chapter 2 Polynomials Ex 2.4
• Chapter 2 Polynomials Ex 2.5

GSEB Std 9 Maths Solutions Gujarati Medium Chapter 3 Coordinate Geometry

• Chapter 3 Coordinate Geometry Ex 3.1
• Chapter 3 Coordinate Geometry Ex 3.2
• Chapter 3 Coordinate Geometry Ex 3.3

GSEB Std 9 Maths Digest Pdf Chapter 4 Linear Equations in Two Variables

• Chapter 4 Linear Equations in Two Variables Ex 4.1
• Chapter 4 Linear Equations in Two Variables Ex 4.2
• Chapter 4 Linear Equations in Two Variables Ex 4.3
• Chapter 4 Linear Equations in Two Variables Ex 4.4

GSEB Std 9 Maths Solutions Pdf Chapter 5 Introduction to Euclid’s Geometry

• Chapter 5 Introduction to Euclid’s Geometry Ex  5.1
• Chapter 5 Introduction to Euclid’s Geometry Ex  5.2

NCERT Std 9 Maths Solution in Gujarati Chapter 6 Lines and Angles

• Chapter 6 Lines and Angles Ex 6.1
• Chapter 6 Lines and Angles Ex 6.2
• Chapter 6 Lines and Angles Ex 6.3

Vraj Prakashan Std 9 Maths Solutions Chapter 7 Triangles

• Chapter 7 Triangles Ex 7.1
• Chapter 7 Triangles Ex 7.2
• Chapter 7 Triangles Ex 7.3
• Chapter 7 Triangles Ex 7.4
• Chapter 7 Triangles Ex 7.5

GSEB Class 9 Maths Textbook Solutions Chapter 8 Quadrilaterals

• Chapter 8 Quadrilaterals Ex 8.1
• Chapter 8 Quadrilaterals Ex 8.2

GSEB Std 9 Maths Textbook Solutions Chapter 9 Areas of Parallelograms and Triangles

• Chapter 9 Areas of Parallelograms and Triangles Ex 9.1
• Chapter 9 Areas of Parallelograms and Triangles Ex 9.2
• Chapter 9 Areas of Parallelograms and Triangles Ex 9.3
• Chapter 9 Areas of Parallelograms and Triangles Ex 9.4

Gujarat Board Maths Textbook Std 9 Solutions Chapter 10 Circles

• Chapter 10 Circles Ex 10.1
• Chapter 10 Circles Ex 10.2
• Chapter 10 Circles Ex 10.3
• Chapter 10 Circles Ex 10.4
• Chapter 10 Circles Ex 10.5
• Chapter 10 Circles Ex 10.6

Gujarat Board Textbook Std 9 Maths Solutions Pdf Download Chapter 11 Constructions

• Chapter 11 Constructions Ex 11.1
• Chapter 11 Constructions Ex 11.2

Std 9 Maths Practice Book Solutions Pdf GSEB Chapter 12 Heron’s Formula

• Chapter 12 Heron’s Formula Ex 12.1
• Chapter 12 Heron’s Formula Ex 12.2

GSEB Maths Textbook Std 9 Solutions Chapter 13 Surface Areas and Volumes

• Chapter 13 Surface Areas and Volumes Ex 13.1
• Chapter 13 Surface Areas and Volumes Ex 13.2
• Chapter 13 Surface Areas and Volumes Ex 13.3
• Chapter 13 Surface Areas and Volumes Ex 13.4
• Chapter 13 Surface Areas and Volumes Ex 13.5
• Chapter 13 Surface Areas and Volumes Ex 13.6
• Chapter 13 Surface Areas and Volumes Ex 13.7
• Chapter 13 Surface Areas and Volumes Ex 13.8
• Chapter 13 Surface Areas and Volumes Ex 13.9

Maths Digest Std 9 Gujarat Board English Medium Chapter 14 Statistics

• Chapter 14 Statistics Ex 14.1
• Chapter 14 Statistics Ex 14.2
• Chapter 14 Statistics Ex 14.3
• Chapter 14 Statistics Ex 14.4

GSEB 9th Maths Textbook Solutions Chapter 15 Probability

• Chapter 15 Probability Ex 15.1

GSEB Class 9 Maths Textbook Solutions Gujarat Board in Gujarati Medium

GSEB Textbook Solutions Class 9 Maths Chapter 1 સંખ્યા પદ્ધતિ

• Chapter 1 સંખ્યા પદ્ધતિ Ex 1.1
• Chapter 1 સંખ્યા પદ્ધતિ Ex 1.2
• Chapter 1 સંખ્યા પદ્ધતિ Ex 1.3
• Chapter 1 સંખ્યા પદ્ધતિ Ex 1.4
• Chapter 1 સંખ્યા પદ્ધતિ Ex 1.5
• Chapter 1 સંખ્યા પદ્ધતિ Ex 1.6

Gujarat Board Textbook Solutions Class 9 Maths Chapter 2 બહુપદીઓ

• Chapter 2 બહુપદીઓ Ex 2.1
• Chapter 2 બહુપદીઓ Ex 2.2
• Chapter 2 બહુપદીઓ Ex 2.3
• Chapter 2 બહુપદીઓ Ex 2.4
• Chapter 2 બહુપદીઓEx 2.5

GSEB Std 9 Maths Solutions Gujarati Medium Chapter 3 યામ ભૂમિતિ

• Chapter 3 યામ ભૂમિતિ Ex 3.1
• Chapter 3 યામ ભૂમિતિ Ex 3.2
• Chapter 3 યામ ભૂમિતિ Ex 3.3

GSEB Std 9 Maths Digest Pdf Chapter 4 દ્વિચલ સુરેખ સમીકરણો

• Chapter 4 દ્વિચલ સુરેખ સમીકરણો Ex 4.1
• Chapter 4 દ્વિચલ સુરેખ સમીકરણો Ex 4.2
• Chapter 4 દ્વિચલ સુરેખ સમીકરણો Ex 4.3
• Chapter 4 દ્વિચલ સુરેખ સમીકરણો Ex 4.4

GSEB Std 9 Maths Solutions Pdf Chapter 5 યુક્લિડની ભૂમિતિનો પરિચય

• Chapter 5 યુક્લિડની ભૂમિતિનો પરિચય Ex 5.1
• Chapter 5 યુક્લિડની ભૂમિતિનો પરિચય Ex 5.2

NCERT Std 9 Maths Solution in Gujarati Chapter 6 રેખાઓ અને ખૂણાઓ

• Chapter 6 રેખાઓ અને ખૂણાઓ Ex 6.1
• Chapter 6 રેખાઓ અને ખૂણાઓ Ex 6.2
• Chapter 6 રેખાઓ અને ખૂણાઓ Ex 6.3

Vraj Prakashan Std 9 Maths Solutions Chapter 7 ત્રિકોણ

• Chapter 7 ત્રિકોણ Ex 7.1
• Chapter 7 ત્રિકોણ Ex 7.2
• Chapter 7 ત્રિકોણ Ex 7.3
• Chapter 7 ત્રિકોણ Ex 7.4
• Chapter 7 ત્રિકોણ Ex 7.5

GSEB Class 9 Maths Textbook Solutions Chapter 8 ચતુષ્કોણ

• Chapter 8 ચતુષ્કોણ Ex 8.1
• Chapter 8 ચતુષ્કોણ Ex 8.2

GSEB Std 9 Maths Textbook Solutions Chapter 9 સમાંતરબાજુ ચતુષ્કોણ અને ત્રિકોણનાં ક્ષેત્રફળ

• Chapter 9 સમાંતરબાજુ ચતુષ્કોણ અને ત્રિકોણનાં ક્ષેત્રફળ Ex 9.1
• Chapter 9 સમાંતરબાજુ ચતુષ્કોણ અને ત્રિકોણનાં ક્ષેત્રફળ Ex 9.2
• Chapter 9 સમાંતરબાજુ ચતુષ્કોણ અને ત્રિકોણનાં ક્ષેત્રફળ Ex 9.3
• Chapter 9 સમાંતરબાજુ ચતુષ્કોણ અને ત્રિકોણનાં ક્ષેત્રફળ Ex 9.4

Gujarat Board Maths Textbook Std 9 Solutions Chapter 10 વર્તુળ

• Chapter 10 વર્તુળ Ex 10.1
• Chapter 10 વર્તુળ Ex 10.2
• Chapter 10 વર્તુળ Ex 10.3
• Chapter 10 વર્તુળ Ex 10.4
• Chapter 10 વર્તુળ Ex 10.5
• Chapter 10 વર્તુળ Ex 10.6

Gujarat Board Textbook Std 9 Maths Solutions Pdf Download Chapter 11 રચનાઓ

• Chapter 11 રચનાઓ Ex 11.1
• Chapter 11 રચનાઓ Ex 11.2

Std 9 Maths Practice Book Solutions Pdf GSEB Chapter 12 હેરોનું સૂત્ર

• Chapter 12 હેરોનું સૂત્ર Ex 12.1
• Chapter 12 હેરોનું સૂત્ર Ex 12.2

GSEB Maths Textbook Std 9 Solutions Chapter 13 પૃષ્ઠફળ અને ઘનફળ

• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.1
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.2
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.3
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.4
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.5
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.6
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.7
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.8
• Chapter 13 પૃષ્ઠફળ અને ઘનફળ Ex 13.9

Maths Digest Std 9 Gujarat Board English Medium Chapter 14 આંકડાશાસ્ત્ર

• Chapter 14 આંકડાશાસ્ત્ર Ex 14.1
• Chapter 14 આંકડાશાસ્ત્ર Ex 14.2
• Chapter 14 આંકડાશાસ્ત્ર Ex 14.3
• Chapter 14 આંકડાશાસ્ત્ર Ex 14.4

GSEB 9th Maths Textbook Solutions Chapter 15 સંભાવના

• Chapter 15 સંભાવના Ex 15.1

GSEB Class 9 Maths Format of the Question Paper

Weightage of Marks According to the Objective

Weightage of Types of Questions

Weightage of Marks According to the Chapter

We hope this detailed Gujarat Board GSEB Textbook Solutions Class 9 Maths PDF Free Download in English Medium and Gujarati Medium of Gujarat Board Textbook Std 9 Maths Solutions, GSEB Std 9 Maths Textbook Solutions Guide, Questions and Answers, Chapter Wise Notes Pdf, Model Question Papers, Study Material will be useful for students to clear their doubts by providing an in-depth understanding of the concepts.

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GSEB Std 9 Paper Solution 2023 | Std 9 Paper Solution 2023 pdf Download

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