NCERT Solutions for Class 9 Maths

NCERT Solutions Class 9 Maths PDF Download

NCERT Solutions for Class 9 Maths are a set of solutions in the form of chapter-wise solutions made specifically for Class 9th students. Middle school is one of the most crucial periods a student undergoes in the course of their schooling years. In order to lessen the academic pressure, these solutions are made by experts in the mathematics field to give you, the student, a holistic approach to your examinations. These NCERT Solutions for Class 9 Maths are to be read alongside the main subject matter and the texts provided to students. In this way, students can give themselves a chance to test their knowledge of the subject.

Additionally, NCERT Maths Class 9 solutions are available in a PDF form, which is free and downloadable. With easy access to such NCERT Solutions, students can be sure of themselves when they approach question papers. Moreover, these 9th class Maths book solutions are made in order to give students clues as to what to study for their Maths exams. Also, Students can download NCERT Solutions for Class 9 Science created by the best teachers at Vedantu for free.

Benefits of Vedantu’s NCERT Maths Solutions for Class 9

  1. All the solutions are provided with explanations and easy steps so that all the students can understand them easily.

  2. Students can use these solutions for clearing their doubts instantly.

  3. There are different exercise-wise PDFs for all the chapters of the syllabus.

  4. In order to help students with their problem-solving skills and learn concepts effectively, detailed explanations are offered.

  5. The solutions to the questions are through the easiest method.

  6. To help students visualize the problem and solutions, diagrams are provided as well.

Weightage For the First Term

  • Number Systems - 8 marks

  • Algebra - 5 marks

  • Coordinate Geometry - 4 marks

  • Geometry - 13 marks

  • Mensuration - 4 marks

  • Statistics and Probability - 6 marks

Weightage For The Second Term

  • Algebra - 12 marks

  • Geometry - 15 marks

  • Mensuration - 9 marks

  • Statistics and Probability - 4 marks

Knowing the weightage of all the topics will help you prepare a better strategy for the Class 9 Maths exam. You can’t just read the concepts and memorize formulas to score well in maths. You must have an in-depth understanding of the concepts and practice all the questions regularly.

Download NCERT Solutions for Class 9 Maths PDF

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.

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.

Chapter 1 - Number System Exercises in PDF Format

Exercise 1.1

4 Questions & Solutions (4 short Answers)

Exercise 1.2

4 Questions & Solutions (4 short Answers)

Exercise 1.3

9 Questions & Solutions (8 short Answers, 1 long Answer)

Exercise 1.4

2 Questions & Solutions (2 long Answers)

Exercise 1.5

5 Questions & Solutions (4 short Answers, 1 long Answer)

Exercise 1.6

3 Questions & Solutions (3 short Answers)


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.

Chapter 2 - Polynomials Exercises in PDF Format

Exercise 2.1

5 Questions & Solutions (5 Short Answers)

Exercise 2.2

4 Questions & Solutions (4 Short Answers)

Exercise 2.3

3 Questions & Solutions (3 Short Answers)

Exercise 2.4

5 Questions & Solutions (4 Short Answers, 1 Long Answer)

Exercise 2.5

16 Questions & Solutions (9 Short Answers, 5 Long Answer, 2 Very Long Answers)


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.

Chapter 3 - Coordinate Geometry Exercises

Exercise 3.1

2 Questions & Solutions (1 Short Answer, 1 Long Answer)

Exercise 3.2

2 Questions & Solutions (2 Short Answers)

Exercise 3.3

2 Questions & Solutions (1 Short Answer, 1 Long Answer)


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.

Chapter 4 - Linear Equations in Two Variables Exercises in PDF Format

Exercise 4.1

2 Questions & Solutions (2 Short Answers)

Exercise 4.2

4 Questions & Solutions (3 Short Answers, 1 Long Answer)

Exercise 4.3

8 Questions & Solutions (4 Short Answers, 4 Long Answers)

Exercise 4.4

2 Questions & Solutions (2 Long Answers)


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.

Chapter 5 - Introduction to Euclid's Geometry Exercises in PDF Format

Exercise 5.1

7 Questions & Solutions (4 Short Answers, 3 Long Answers)

Exercise 5.2

2 Questions & Solutions (1 Short Answer, 1 Long Answer)


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.

Chapter 6 - Lines and Angles Exercises in PDF Format

Exercise 6.1

6 Questions & Solutions (5 Short Answers, 1 Long Answer)

Exercise 6.2

3 Questions & Solutions (3 Short Answers, 3 Long Answers)

Exercise 6.3

6 Questions & Solutions (5 Short Answers, 1 Long Answer)


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.

Chapter 7 - Triangles Exercises in PDF Format

Exercise 7.1

8 Questions & Solutions (6 Short Answers, 2 Long Answers)

Exercise 7.2

8 Questions & Solutions (6 Short Answers, 2 Long Answers)

Exercise 7.3

5 Questions & Solutions (3 Short Answers, 2 Long Answers)

Exercise 7.4

6 Questions & Solutions (5 Short Answers, 1 Long Answer)

Exercise 7.5

4 Questions & Solutions (3 Short Answers, 1 Long Answer)


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.

Chapter 8 - Quadrilaterals Exercises in PDF Format

Exercise 8.1

12 Questions & Solutions (2 Short Answers, 6 Long Answers, 4 Very Long Answers)

Exercise 8.2

7 Questions & Solutions (2 Short Answers, 3 Long Answers, 3 Very Long Answers)


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.

Chapter 9 - Areas of Parallelograms and Triangles Exercises in PDF Format

Exercise 9.1

1 Questions & Solutions (1 Short Answer)

Exercise 9.2

6 Questions & Solutions (5 Short Answers, 1 Long Answer)

Exercise 9.3

16 Questions & Solutions (12 Short Answers, 4 Long Answers)

Exercise 9.4

8 Questions & Solutions (4 Short Answers, 1 Long Answer, 3 Very Long Answers)


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.

Chapter 10 - Circles Exercises in PDF Format

Exercise 10.1

2 Questions & Solutions (2 Short Answers)

Exercise 10.2

2 Questions & Solutions (2 Long Answers)

Exercise 10.3

3 Questions & Solutions (3 Long Answers)

Exercise 10.4

6 Questions & Solutions (6 Long Answers)

Exercise 10.5

12 Questions & Solutions (12 Long Answers)

Exercise 10.6

10 Questions & Solutions (10 Long Answers)


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.

Chapter 11 - Constructions Exercises in PDF Format

Exercise 11.1

5 Questions & Solutions (2 Short Answers, 2 Long Answer, 1 Very Long Answer)

Exercise 11.2

5 Questions & Solutions (5 Very Long Answers)


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.

Chapter 12 - Heron’s Formula Exercises in PDF Format

Exercise 12.1

6 Questions & Solutions (2 Short Answers, 2 Long Answer, 2 Very Long Answers)

Exercise 12.2

9 Questions & Solutions (4 Long Answers, 5 Very Long Answers)


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).

Chapter 13 - Surface Areas and Volumes Exercises in PDF Format

Exercise 13.1

8 Questions & Solutions (4 Short Answers, 4 Long Answers)

Exercise 13.2

11 Questions & Solutions (5 Short Answers, 6 Long Answers)

Exercise 13.3

8 Questions & Solutions

Exercise 13.4

9 Questions & Solutions (4 Short Answers, 5 Long Answers)

Exercise 13.5

9 Questions & Solutions (4 Short Answers, 5 Long Answers)

Exercise 13.6

8 Questions & Solutions (8 Short Answers)

Exercise 13.7

9 Questions & Solutions (9 Long Answers)

Exercise 13.8

10 Questions & Solutions (5 Short Answers, 5 Long Answers)

Exercise 13.9

3 Questions & Solutions (3 Long Answers)


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.

Chapter 14 - Statistics Exercises in PDF Format

Exercise 14.1

2 Questions & Solutions (2 Short Answers)

Exercise 14.2

9 Questions & Solutions (9 Long Answers)

Exercise 14.3

9 Questions & Solutions (6 Short Answers, 3 Long Answers)

Exercise 14.4

6 Questions & Solutions (2 Short Answers, 4 Long Answers)


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.

Chapter 15 - Probability Exercises in PDF Format

Exercise 15.1

10 Questions & Solutions (4 Short Answers, 3 Long Answers, 3 Very Long Answers)


The detailed marking scheme of the Class 9 Maths examination is given below.


CBSE Class 9 Maths Unit-wise Marks Weightage

S.No

Unit Name

Weightage

1

Number Systems

8

2

Algebra

17

3

Coordinate Geometry

4

4

Geometry

28

5

Mensuration

13

6

Statistics and Probability

10


Total

80

20 Marks are for internal assessment

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.

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.

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.

FAQs (Frequently Asked Questions)

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

  • Circles

  • Surface Areas and Volume

  • Triangles

  • 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?

Ans: 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?

Ans: 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?

Ans: 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.

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