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Class 9 Exam  >  Class 9 Notes  >  NCERT Solutions for Class 9 Maths

NCERT Solutions for Class 9 Maths PDF Download

NCERT Solutions for Class 9 Maths

Here you will find all of the Chapters 1 through Chapter 15 NCERT Solutions for Class 9 Mathematical Exercises. Our knowledgeable faculty has selected these NCERT Solutions to aid students in their test preparation. In order to find a more effective way to approach the problems, students looking for the NCERT Solutions of Class 9 Maths can download all chapter-by-chapter PDFs.

NCERT Solutions for Class 9 MathematicsNCERT Solutions for Class 9 Mathematics

The best study materials available to students are without a doubt the answers to the questions found in the NCERT books. Additionally, these CBSE NCERT Solutions for Class 9 Math 2022–23 will aid students in developing a deeper comprehension of the ideas provided in the  NCERT Book. Students will be able to assess their level of preparation and concept mastery by practising the Book questions.

Chapter Wise NCERT Solutions for Class 9 Maths

Chapter Wise NCERT Solutions for Class 9 Maths is a comprehensive set of solutions to the exercises provided in the NCERT Class 9 Maths textbook. These solutions are designed to help students of Class 9 studying in CBSE-affiliated schools to prepare for their Maths exam.
The Chapter Wise NCERT Solutions for Class 9 Maths cover all the chapters of the textbook, including Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid's Geometry, Triangles, Circles, Constructions, Heron's Formula, Surface Areas and Volumes, and Statistics and Probability.

NCERT Solutions for Class 9 Maths Chapter 1: Number System

Students will study real numbers and irrational numbers in Chapter 1 of Class 9. The Euclid's Division Lemma asserts that "Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0rb," which is the first statement in the chapter. This lemma serves as the foundation for the Euclid's Division procedure, which determines the HCF of two positive integers. The Fundamental Theorem of Arithmetic, which is used to determine the LCM and HCF of two positive integers, is then defined. Following that, the theorem is used to describe the concepts of an irrational number, a rational number, and the decimal expansion of rational numbers.

Chapter 1 of the topics covered in class 9 Maths After examining past work and after illuminating and inspiring through examples, the Real Numbers: Fundamental Theorem of Arithmetic asserts, Evidence for the irrationality of 2, 3, and 5.

NCERT Solutions for Class 9 Maths Chapter 1 Exercises

Also, access the following resources for NCERT Class 9 Chapter 1 Number System, at EduRev:

NCERT Solutions for Class 9 Maths Chapter 2: Polynomials

The definitions of the degree, linear, quadratic, and cubic polynomials are given at the beginning of the chapter on polynomials. There are a total of 4 exercises in this chapter, one of which is optional. Questions about calculating the number of zeros in a graph can be found in Exercise 2.1. Understanding the Geometrical Meaning of a Polynomial's Zeros is necessary. Students must locate the zeros of a quadratic polynomial in Exercise 2.2, which is based on the Relationship between Zeroes and Coefficients of a Polynomial. In some cases, they must also locate the quadratic polynomial. The division algorithm concept is defined in Exercise 2.3, where students can also find the questions that pertain to it.The questions in the optional exercise 2.4 are drawn from each of the Chapter 2 topics.

Topics Covered in Class 9 Maths Chapter 2 Polynomials :

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

NCERT Solutions for Class 9 Maths Chapter 2 Exercises

Also, access the following resources for NCERT Class 9 Chapter 2 Polynomials, at EduRev:

NCERT Solutions for Class 9 Maths Chapter 3: Coordinate Geometry

In this chapter, students will learn how to determine the distance between any two locations whose coordinates are given, as well as how to determine the area of any triangle consisting of three given points. They will also learn how to find the coordinates of the point that divides a given line segment between two points in a particular ratio. Students will learn about the Area of a Triangle, Section Formula, and Distance Formula in this chapter on coordinate geometry.

Topics Covered in Class 9 Maths Chapter 3 Coordinate Geometry:
Review of linear equation graphs and coordinate geometry concepts. Distance calculation. Formula for Section (internal division).

NCERT Solutions for Class 9 Maths Chapter 3 Exercises

Also, access the following resources for NCERT Class 9 Chapter 3 Coordinate Geometry, at EduRev:

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

Pair of Linear Equations in Two Variables is a concept that is explained in this chapter. There are a total of 7 tasks in this chapter, and they all involve solving a pair of linear equations using various strategies. How to represent a situation algebraically and graphically is explained in Exercise 3.1. Exercise 3.2 illustrates how to use the Graphical Method to solve the pair of linear equations. The Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method are each covered in Exercises 3.3, 3.4, 3.5, and 3.6, respectively. Activity 3.7, an optional exercise, with questions of every description. In order to acquire the technique for solving linear equations, students must practice these tasks.

Pair of Linear Equations in Two Variables is a topic covered in this chapter. There are seven tasks in this chapter that cover various strategies for resolving the linear equations. 

The algebraic and graphical representation of a situation is explained in Exercise 3.1. In Exercise 3.2, the Graphical Method is used to solve a pair of linear equations. Exercises 3.3, 3.4, 3.5, and 3.6, respectively, provide descriptions of the Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method.

All different kinds of questions are included in optional exercise 3.7. To master the process of solving linear equations, students must practice the activities.

NCERT Solutions for Class 9 Maths Chapter 4 Exercises

Also, access the following resources for NCERT Class 9 Chapter 4 Linear Equations in Two Variables, at EduRev:

NCERT Solutions of Class 9 Maths Chapter 5: Introduction to Euclid`s Geometry

NCERT Solutions for Class 9 Maths Chapter 5 Exercises

Also, access the following resources for NCERT Class 9 Chapter 5 Introduction to Euclid`s Geometry, at EduRev:

NCERT Solutions of Class 9 Maths Chapter 6: Lines and Angles

NCERT Solutions for Class 9 Maths Chapter 6 Exercises

Also, access the following resources for NCERT Class 9 Chapter 6 Lines and Angles, at EduRev:

NCERT Solutions for Class 9 Maths Chapter 7: Triangles

The figures with the same shape but different sizes are covered in Chapter 7 of the Class 9 CBSE Math Book. A comparable and congruent figure is the starting point of the chapter Triangles. It goes on to explain the prerequisites for the resemblance of two triangles as well as associated theorems. Following that, a theorem was used to explain how identical triangles' areas may be calculated. The Pythagoras Theorem and its Converse are discussed at the conclusion of this chapter.

Topics Covered in Class 9 Maths Chapter 7 Triangles:

Definitions, illustrations, and oppositional illustrations of related triangles.

  1. (Prove) The other two sides of a triangle are divided in the same ratio if a line parallel to one side of a triangle intersects the other two sides in clearly defined points.
  2. (Inspire) A line is parallel to the third side of a triangle if it divides the first two sides of the triangle in the same proportion.
  3. (Inspire) If the corresponding sides of two triangles are proportionate, the corresponding angles are equal, and the triangles are similar.
  4. (Inspire) Two triangles are comparable if their respective sides are proportionate, their corresponding angles are equal, and they have similar triangles.
  5. (Inspire) Two triangles are comparable if one of their angles is equal to another triangle's angle and the sides that include these angles are proportionate.

 NCERT Solutions for Class 9 Maths Chapter 7 Exercises

Also, access the following resources for NCERT Class 9 Chapter 7 Triangles, at EduRev:

NCERT Solutions of Class 9 Maths Chapter 8: Quadrilaterals

NCERT Solutions for Class 9 Maths Chapter 8 Exercises

Also, access the following resources for NCERT Class 9 Chapter 8 Quadrilaterals, at EduRev:

NCERT Solutions for Class 9 Maths Chapter 9: Area of Parallelograms and Triangles

Students have learned about circles and other concepts associated with them, such as chord, segment, arc, etc., in prior classes. Students will learn about the various circumstances that can occur when a circle and a line are presented in a plane in this chapter. The concepts of Tangent to a Circle and Number of Tangents from a Point on a Circle will thus be fully understood by them.

Topics Covered in Class 9 Maths Chapter 9 Area of Parallelograms and Triangles:
At the point of contact, tangent to a circle

  1. Establish that the radius across the point of contact is perpendicular to the tangent at any point on a circle.
  2. (Show) Tangents drawn from an outside point to a circle have identical lengths.

 NCERT Solutions for Class 9 Maths Chapter 9 Exercises

  • NCERT Solutions Areas of Parallelograms and Triangles Class 9 Maths Exercise 9.1

Also, access the following resources for NCERT Class 9 Chapter 9 Area of Parallelograms and Triangles at EduRev: 

NCERT Solutions for Class 9 Maths Chapter 10: Circles

Students have learned about circles and other concepts associated with them, such as chord, segment, arc, etc., in prior classes. Students will learn about the various circumstances that can occur when a circle and a line are presented in a plane in this chapter. The concepts of Tangent to a Circle and Number of Tangents from a Point on a Circle will thus be fully understood by them.

Topics Covered in Class 9 Maths Chapter 10 Circles:
At the point of contact, tangent to a circle

  1. Establish that the radius across the point of contact is perpendicular to the tangent at any point on a circle.
  2. (Show) Tangents drawn from an outside point to a circle have identical lengths.

 NCERT Solutions for Class 9 Maths Chapter 10 Exercises

Also, access the following resources for NCERT Class 9 Chapter 10 Circles at EduRev: 

NCERT Solutions for Class 9 Maths Chapter 11: Constructions

This chapter consists of a total of 2 exercises. Whatever students have learned about construction in earlier classes will also help them. In Exercise 11.1, students will study how to divide a line segment, whereas in Exercise 11.2, they will study the construction of tangents to a circle. Methods and steps for construction are explained, and also some examples are additionally given to make it clearer to the students.

Topics Covered in Class 9 Maths Chapter 11 Constructions:

  1. Division of a line segment in a given ratio (internally).
  2. Tangent to a circle from a point outside it.
  3. Construction of a triangle similar to a given triangle.

 NCERT Solutions for Class 9 Maths Chapter 11 Exercises

Also, access the following resources for NCERT Class 9 Chapter 11 Constructions, at EduRev:

NCERT Solutions for Class 9 Maths Chapter 12: Heron`s Formula

NCERT Solutions for Class 9 Maths Chapter 12 Exercises

Also, access the following resources for NCERT Class 9 Chapter 12 Heron`s Formula, at EduRev:

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

In Chapter 13, there are a total of 5 exercises. The first exercise consists of questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e. cuboid, cone, cylinder, sphere and hemisphere. In exercise 13.2, questions are based on finding the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere. Exercise 13.3 deals with the questions in which a solid is converted from one shape to another. Exercise 13.4 is based on finding the volume, curved surface area and total surface area of a frustum of a cone. The last exercise is optional and has high-level questions based on all the topics of this chapter.

Topics Covered in Class 9 Maths Chapter 13 Surface Areas and Volumes:
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

NCERT Solutions for Class 9 Maths Chapter 13 Exercises

Also, access the following resources for NCERT Class 9 Chapter 13 Surface Areas and Volumes, at EduRev: 

NCERT Solutions for Class 9 Maths Chapter 14: Statistics

Students will learn how to find the Mean, Mode, and Median and how to numerically depict ungrouped and grouped data. Additionally, the definition of cumulative frequency, its distribution, and how to create its curves will be covered.

Topics Covered in Class 9 Maths Chapter 14 Statistics:
Mean, median and mode of grouped data (bimodal situation to be avoided).

NCERT Solutions for Class 9 Maths Chapter 14 Exercises

Also, access the following resources for NCERT Class 9 Chapter 14 Statistics, at EduRev: 

NCERT Solutions for Class 9 Maths Chapter 15: Probability

The final chapter covers probability. The theoretical approach to probability is where the chapter begins. The chapter then goes on to discuss the distinction between theoretical and experimental probability. It is effectively explained through a variety of instances. Students must complete the CBSE Math examples before moving on to the exercise problems.

Topics Covered in Class 9 Maths Chapter 15 Probability:
Classical definition of probability. Simple problems on finding the probability of an event.

NCERT Solutions for Class 9 Maths Chapter 15 Exercises

Also, access the following resources for NCERT Class 9 Chapter 15 Probability, at EduRev: 

CBSE Class  9 Maths Unit-wise Weightage for 2022-23


NCERT Solutions for Class 9 Maths

Internal Assessment for CBSE Class 9 Maths

NCERT Solutions for Class 9 Maths

Importance of NCERT Solutions for Class 9 Maths

NCERT, which stands for National Council of Educational Research and Training, was established to standardize the education system in India. NCERT Solutions for Class 9 Maths is a comprehensive resource that provides a detailed and easy-to-understand explanation of all the questions and concepts in the NCERT textbooks. It is a crucial tool for scoring well in Class 9 exams and offers several benefits.

  • Firstly, NCERT Solutions for Class 9 Maths explain each concept in detail and in simple language, making it easier for students to understand. 
  • Secondly, the solutions are provided by experienced teachers and are thoroughly reviewed for accuracy. This ensures that students do not get misguided by incorrect study materials.
  • Moreover, students can access NCERT Solutions for Class 9 Maths offline by downloading the PDFs, which allows them to study anytime and anywhere. The PDF links can also be shared with classmates, enabling collaborative learning. 
  • Additionally, these solutions can help clear any doubts or confusion students may have on various topics.

The Class 9 Maths solutions are designed by subject matter experts who have conducted extensive research on the subject, making them high-quality study materials. This allows students to solve problems of varying difficulty levels and score better marks in exams. Overall, NCERT Solutions for Class 9 Maths provide an all-encompassing resource that benefits students in several ways.

Benefits of EduRev’s NCERT Maths Solutions for Class 9


The Class 9 NCERT Solutions of Maths given here have several benefits, which include:

  • The solutions given here are very easy-to-understand.
  • Solutions are provided in steps for better understanding.
  • Diagrams are given to help the students to visualize the solutions.
  • All the questions from each chapter are covered.

It is advised that students prepare all of the chapters covered in the solution modules because doing so will allow them to understand concepts more thoroughly. The steps offered in the solutions must be understood by the students in order to make good preparations.


Students can also access NCERT Solutions  for of All subjects of Class 9:

Frequently Asked Questions (FAQs): NCERT Solutions for Class 9 Maths (2022-23)

How to grasp the important concepts covered in the NCERT Solutions for Class 9 Maths?


Students who aspire to score good marks in the Class 9 exams are advised to study the NCERT Solutions from the EduRev App. The solutions are curated with utmost care by a set of faculty having vast experience in the respective subject. Each and every minute detail is explained in an interactive manner to make it easier for the students while learning. The step-wise solutions are designed by keeping in mind the marks weightage allotted as per the CBSE guidelines.

Will the NCERT Solutions for Class 9 Maths help me to solve problems easily?


The Class 9 exam is one of the major turning points in the life of students. Maths is a subject which mainly contains numericals, and understanding of concepts helps to score more marks. Students are recommended to first understand the syllabus for the academic year and learn the concepts based on them for better performance. Solving the Book problems by referring to the solutions will improve the logical thinking and analytical skills among students.

Where will I get the NCERT Solutions for Class 9 Maths?


Students can get the NCERT Solutions for Class 9 Maths at the EduRev App. The solutions are prepared by the subject matter experts keeping in mind the understanding capacity of students. The main objective of creating solutions is to help students learn complex concepts without any difficulty. Students can also cross-check their answers while solving the Book problems to get an idea about the other methods of answering the questions efficiently.

Are the NCERT Solutions for Class 9 Maths useful for the students under the CBSE board?


Given below are some of the uses of the NCERT Maths Solutions for Class 9 –

1. It builds a strong foundation of fundamental concepts and improves confidence to face exams.

2. The method of solving complex problems can be learnt easily.

3. It is a perfect study material for the students to finish their assignments on time and to score more marks in the exams.

How to get an idea about the important concepts in the NCERT Solutions for Class 9 Maths?


Before the start of an academic year, students should download the CBSE syllabus and go through it for a clear idea about the concepts which are important for the exams. Students must solve the  NCERT Book problems by choosing the correct study material which satisfies their needs. Practising the problems on a regular basis by referring to the NCERT Solutions for Class 9 Maths improves the problem-solving abilities of students.

The document NCERT Solutions for Class 9 Maths is a part of Class 9 category.
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Document Description: NCERT Solutions for Class 9 Maths for Class 9 2024 is part of Class 9 preparation. The notes and questions for NCERT Solutions for Class 9 Maths have been prepared according to the Class 9 exam syllabus. Information about NCERT Solutions for Class 9 Maths covers topics like NCERT Solutions for Class 9 Maths, Chapter Wise NCERT Solutions for Class 9 Maths, CBSE Class  9 Maths Unit-wise Weightage for 2022-23, Internal Assessment for CBSE Class 9 Maths, Importance of NCERT Solutions for Class 9 Maths, Benefits of EduRev’s NCERT Maths Solutions for Class 9, Important Related Links for CBSE Class 9 Maths, Frequently Asked Questions (FAQs): NCERT Solutions for Class 9 Maths (2022-23) and NCERT Solutions for Class 9 Maths Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions for Class 9 Maths.
Introduction of NCERT Solutions for Class 9 Maths in English is available as part of our Class 9 preparation & NCERT Solutions for Class 9 Maths in Hindi for Class 9 courses. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Class 9: NCERT Solutions for Class 9 Maths
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Additional Information about NCERT Solutions for Class 9 Maths for Class 9 Preparation

NCERT Solutions for Class 9 Maths Free PDF Download

The NCERT Solutions for Class 9 Maths is an invaluable resource that delves deep into the core of the Class 9 exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the NCERT Solutions for Class 9 Maths now and kickstart your journey towards success in the Class 9 exam.

Importance of NCERT Solutions for Class 9 Maths

The importance of NCERT Solutions for Class 9 Maths cannot be overstated, especially for Class 9 aspirants. This document holds the key to success in the Class 9 exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

NCERT Solutions for Class 9 Maths Notes

NCERT Solutions for Class 9 Maths Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to NCERT Solutions for Class 9 Maths. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, NCERT Solutions for Class 9 Maths Notes on EduRev are your ultimate resource for success.

NCERT Solutions for Class 9 Maths Class 9 Questions

The "NCERT Solutions for Class 9 Maths Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study NCERT Solutions for Class 9 Maths on the App

Students of Class 9 can study NCERT Solutions for Class 9 Maths alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the NCERT Solutions for Class 9 Maths, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of NCERT Solutions for Class 9 Maths is prepared as per the latest Class 9 syllabus.
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