NCERT Solutions For class 9 maths - PDF Updated for 2024-25 (2024)

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.

NCERT Solutions for CBSE Class 9 Maths Chapters and Exercises

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 Solutions for Class 9 Maths Chapter 1 Number System

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

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials

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

Class 9 Maths NCERT Solutions Chapter 3 Coordinate Geometry

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

  See Also

  NCERT Books for Class 9 Maths - Download PDF 2023-24CBSE Class 9 Maths Book PDF in English and Hindi - Updated for 2022-23NCERT Class 9 Maths Book PDF | CBSE Class 9 NCERT Maths Books Free DownloadNCERT Class 9 Maths book pdf - Free PDF download - eSaral

• Chapter 3: Coordinate Geometry Important Formulas

• Chapter 3: Coordinate Geometry Revision Notes

• Chapter 11: Coordinate Geometry RD Sharma Solutions

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

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 Solutions

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

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles

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

NCERT Solutions for Class 9 Maths Chapter 7 Triangles

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

NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals

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

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

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

NCERT Solutions for Class 9 Maths Chapter 10 Circles

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.

NCERT Solutions for Class 9 Maths Chapter 11 Constructions

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.

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

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.

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

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).

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

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.

NCERT Solutions Class 9 Maths Chapter 15 Probability

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

Benefits of Vedantu’S NCERT Solutions for 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.

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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

Conclusion

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.