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RS Aggarwal Class 9 Solutions for Maths

VSAT 2023

RS Aggarwal Class 9 Maths Solutions PDF Download

The RS Aggarwal Solutions for Maths Class 9th is provided here. This will benefit students a lot for their respective exams preparation as well as timely revision. Class 9th is an important part of students life before they proceed to the Board Class. The solutions of all the chapters are provided concisely with a useful feature of downloading the PDF offline on your computer. 

One of the highlights of this book is it deals with a variety of questions varying from simple straight-forward conceptual questions to tricky ones, which usually consumes a lot of time of the student. The tricky questions are dealt with in simple to understand steps along with an explanation for the same. Hence, this ensures immense learning with each question solved by the student and helps them in gaining confidence for their school level exams and future entrance exams as well. 

Last updated date: 11th May 2023
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Importance of the Class 9 Maths Solutions provided by Vedantu

Vedantu is a leader in online learning platforms for school level and entrance examinations in India. This page contains a list of the chapters present in this book and further solution manuals are provided for the students in PDF format in the respective links. You can find the download button to download the solution manuals of Class 9th Maths which will help you in preparation for the present Academic Year 2021-22. The RS Aggarwal Textbook Solutions for Class 9 Maths are curated by teachers experts in this domain. The 19 chapters with some challenging exercises will help you understand the concept behind the question and ways to approach the right path of the solution. 

The RS Aggarwal Class 9 Maths Solutions undergo consistent upgradation with a new set of Previous year questions added with each new addition. You can find the topics covered in Class 9 Maths RS Aggarwal in the list below on this page.


RS Aggarwal Solutions Class 9 Maths Free PDF download

RS Aggarwal Maths Class 9 carries a variety of questions, which may vary from straight-forward answers to bit tricky ones; however, searching for the solution for each is a time-consuming task, especially during the exam preparation. As you know, Class 9 is the bridge to the board class and it really has great importance in the future entrance exams as well. So, at this same time, Vedantu comes up with all the solutions of RS Aggarwal Class 9, which will help you score high in your exam.


The best part of the Vedantu site is, RS Aggarwal Class 9 Maths Solutions are consistently updated with the fresh set of questions previously asked in all types of exams. Now, we’ll look at the topics covered in Class 9 Maths RS Aggarwal.


Maths Class 9 RS Aggarwal

Table of Contents

Chapter Number and Name

List of Exercises



Number System

Contains seven exercises from 1A to 1G:

1A - This exercise is a reference for helping students know the methods to find rational numbers between two given numbers.

1B contains 5 Questions

1C contains 14 questions

1D contains 8 questions

1E contains 10 questions

1F contains 25 questions

1G contains 18 questions

  • Introduction

  • Representation of Integers on Number Line

  • Representation of Rational Numbers on Real Line

  • Finding Rational Numbers between two given Rational Numbers

  • Decimal Representation of  Rational Numbers

  • Irrational Numbers

  • Properties of Rational Numbers

  • Real Numbers

  • Addition Properties of Real Numbers

  • Multiplication Properties of Real Numbers

  • Representing Irrational Numbers on the Number Line

  • Representing Real Numbers on the Number Line

  • Rationalization

  • Law of Exponents



This chapter contains the following four exercises:

2A - containing 6 questions

2B - containing 9 questions

2C - containing 16 questions

2D - containing 26 questions

  • Algebraic Expressions

  • Terms of an Algebraic Expression

  • Polynomials in one variable

  • Polynomials of Various degrees

  • Number of Terms in a Polynomial

  • Value of a Polynomial

  • Zeros of a Polynomial

  • Division Algorithm in Polynomials

  • Remainder Theorem

  • Factor Theorem


Factorization of Polynomials

This chapter has seven exercises containing the following questions:

3A contains 34 questions

3B  contains 40 questions

3C contains 66 questions

3D contains 7 questions

3E contains 10 questions

3F contains 38 questions

3G contains 25 questions


Linear equations in two variables

This chapter contains two exercises comprising the following set of questions:

4A contains 7 questions

4B contains 12 questions

  • Introduction

  • Linear Equations in Two Variables

  • Solution of a linear equation

  • Graph of linear equation in two variables


Coordinate Geometry

  • Introduction to the chapter

  • Cartesian Coordinates

  • Coordinate Geometry

  • Coordinate System

  • Coordinates of a point in a plane

  • Points on Coordinate Axes


Introduction to Euclid’s Geometry

Contains one exercise only

  • History 

  • Axioms and Postulates

  • Euclid’s Axioms

  • Euclid’s five postulates

  • Incidence Axioms on Lines

  • Number of Lines passing through two given points


Lines and Angles

This chapter has three exercises:

7A - contains 12 questions

7B - contains 16 questions

7C - contains 24 questions

  • Basic Terms and Definitions

  • Various types of Angles

  • Some Angle Relations

  • Some Results on Angle Relations

  • Results on Parallel Lines

  • Corresponding Angles Axiom



This chapter has one exercise only

  • Triangles

  • Types of Triangles on the basis of sides

  • Types of Triangles on the basis of angles

  • Some terms related to Triangle

  • Exterior and interior opposite angles of a Triangle

  • Some results on Triangles


Congruence of triangles & inequalities in a triangle

This chapter has two exercises:

9A has 27 questions

9B has 16 questions

  • Congruent Figures

  • Congruent Triangles

  • Congruence Relation in the set of all Triangles

  • SAS Criteria for Congruence of Triangles

  • ASA Criteria for Congruence of Triangles

  • AAS Criteria for Congruence of Triangles

  • SSS Criteria for Congruence of Triangles

  • RHS Criteria for Congruence of Triangles

  • Inequalities in a Triangle



This chapter has three exercises containing problems based on the type of quadrilaterals and theorems on parallelograms.

10A - contains 10 questions

10B - contains 27 questions

10C - contains 18 questions

  • Various types of quadrilaterals

  • Results on Parallelograms

  • Converse of the above theorems

  • Some results on rectangle, rhombus, and square

  • Midpoint Theorem


Areas of Parallelograms & Triangles

Contains one exercise only.

  • Euclidean Area Axioms

  • Figures on the same base and between the same parallels

  • Parallelograms on the same base and between the same parallels

  • Base and altitude of a parallelogram



Contains three exercises:

11A - contains 23 questions

11B - contains 18 questions

11C - contains 26 questions

  • All the terms related to a circle

  • Position of a point with respect to a circle

  • Degree measure of an arc

  • Minor and major arcs of a circle

  • Congruence of circles

  • Chord properties of circles

  • Some results on congruent circles

  • Results on angles subtended by arcs

  • Results on cyclic quadrilaterals


Geometrical Constructions

One exercise only

  • Perpendicular bisector of a line segment

  • To draw the perpendicular bisector of a given line segment

  • Bisector of a given angle

  • Construction of angles using ruler and compasses


Areas of Triangles & Quadrilaterals

Contains one exercise only

  • Introduction

  • Area of Triangles

  • Areas of Quadrilaterals

  • Area of a quadrilateral whose one diagonal and lengths of perpendiculars from opposite vertices to the diagonal are given


Volume and Surface Areas of Solids

Contains four exercises:

15A - 28 questions

15B - 33 questions

15C - 21 questions

15D - 28 questions

  • Volume and Surface Area of a Cuboid

  • Volume and Surface Area of a Cube

  • Cylinders

  • Right Circular Cone

  • Sphere

  • Spherical Shell

  • Hemisphere


Presentation of Data in Tabular Form

Contains one exercise only

  • Introduction

  • Fundamental Characteristics of Data

  • Limitations of Statistics

  • Types of Data

  • Frequency distribution of an ungrouped data

  • Types of Frequency Distribution

  • Some definitions

  • Class boundaries or true upper and lower limits

  • Method of forming classes of a data


Bar Graph, Histogram, and Frequency Polygon

Two exercises:

17A - 12 questions

17B - 16 questions

  • Bar Graph

  • Bar Graph or Column Graph

  • Reading a Bar Diagram

  • Histogram and Frequency Polygon

  • Frequency Polygon


Mean, Median, and Mode of Ungrouped Data

18A - 31 questions

18B - 14 questions

18C - 10 questions

18D - 8 questions

  • Arithmetic Mean

  • Properties of Arithmetic Mean

  • Mean for an ungrouped frequency distribution

  • Median of ungrouped data

  • Mode of ungrouped data



Contains one exercise only

  • Introduction

  • History

  • Some terms related to probability

  • Some operations and their outcomes


The Final Words

RS Aggarwal is one of the finest study material for the school-level, for the students preparing for recruitment exams in IT sectors, viz:  TCS, Infosys, etc, and also in preparing for the government sector exams like IBPS (individual banking exams), SSC, teaching exams, and so on; therefore, this book has a considerable significance in all spheres. You can visit our website, i.e., for downloading the PDF of Class 9 Maths RS Aggarwal Book.

FAQs on RS Aggarwal Class 9 Solutions for Maths

1. How many chapters are present in this Class 9 Maths book?

There are a total of 19 Chapters in this book. Chapter 1 Number System (7 Exercises 1A to 1G), Chapter 2 Polynomials (4 Exercises 2A to 2D), Chapter 3 Factorization of Polynomials (7 Exercises 3A to 3G), Chapter 4 Linear Equations in two Variables (2 Exercises), Chapter 5 Coordinate Geometry (1 Exercise), Chapter 6 Introduction to Euclid’s Geometry (1 Exercise), Chapter 7 Lines and Angles (3 Exercises), Chapter 8 Triangles (1 Exercise), Chapter 9 Congruence of Triangles & inequalities in a triangle (2 Exercises),  Chapter 10 Quadrilaterals (3 Exercises), Chapter 11 Area of Parallelograms & Triangles (1 Exercise), Chapter 12 Circles (3 Exercises), Chapter 13 Geometrical Construction (1 Exercise), Chapter 14 Areas of Triangles & Quadrilaterals (1 Exercise), Chapter 15 Volume and Surface Areas of Solids (4 Exercises), Chapter 16 Presentation of Data in Tabular Form (1 Exercise), Chapter 17 Bar Graph, Histograms and Frequency Polygon (2 Exercises), Chapter 18 Mean, Median and Mode (4 Exercises) and Chapter 19 Probability (1 Exercise). 

2. Are the questions relevant to the level of difficulty of Class 9th school exams?

Absolutely! This book not only helps Class 9 students for school level exams but is also very helpful for the preparation of entrance exams such as IBPS (banking exams), IT sector aptitude tests and other government exams. The exercises in these chapters are easy to understand for a student of any level.

3. Do I have to pay to download the solutions from Vedantu?

No. The PDF file of RS Aggarwal Class 9 Maths solution is available to download with no charges but just a simple and free login. One can access and download the study material for future reference as well. This login will also ensure uninterrupted access of knowledge across the complete Vedantu platform.

4. What are the prerequisites to solve RS Aggarwal Class 9 Maths?

A basic knowledge of Mathematics till Class 8 is sufficient for one to approach and solve RS Aggarwal Class 9 Maths book. You can find these books on the Vedantu platform. Since the concepts are easy to understand and implement, one can approach this book positively and start learning new concepts on the way.

5. What will be the benefit of referring RS Aggarwal Class 9 Maths?

Referring to RS Aggarwal Class 9 Maths will surely help you enhance your mathematical concepts and improve your scores in upcoming exams. This will also ensure that you will be ready for Class 10th chapters as your basics will be strong after solving questions from this book. If you are preparing for entrance exams then this book will ensure a solid understanding of small concepts, help you develop tricks to solve a particular question under a certain time limit and make you feel ready to face any challenge during the exam.

6. How many exercises are there in Class 9 Maths of Chapter 3?

There are a total of 7 exercises at the end of the chapter. Below is the list of questions in each exercise. 

  • Exercise 3.1 consists of 34 questions. This exercise is completely based on factor and factorization. 

  • Exercise 3.2 consists of 40 questions. This exercise focuses on Methods of factorisation. 

  • Exercise 3.3 consists of 66 questions. Questions in this exercise are based on Factorisation by taking out the common factor. 

  • Exercise 3.4 consists of 7 questions. This exercise is based on the factorisation by grouping, Factorising the difference of two squares and Factorisation of quadratic trinomials.  

  • Exercise 3.5 consists of 10 questions. Questions in this exercise are focused on Square of a trinomial. 

  • Exercise 3.6 consists of 38 questions. This exercise comprises questions from Cube of a binomial concept. 

  • Exercise 3.7 consists of 25 questions. Questions in this exercise are based on the Factorisation of sum or difference of cubes.

7. Define the following Angle, Interior of an angle, Obtuse angle, Reflex angle, Complementary angles and Supplementary angles.

  • Angle – When two rays originate from the same endpoint, then an angle is formed.

  • Interior of an Angle – The intramural of ∠BAC is the set of all points in its plane which rest on the same side of the line AB as C and also on the same side of AC as B.

  • Obtuse Angle – An angle that measures more than 900 but less than 1800 is known as an obtuse angle.

  • Reflex Angle – An angle that measures more than 1800 but less than 3600 is known as a reflex angle.

  • Complementary Angles – Two angles are denoted to be reciprocal if the sum of their measure is 900.

  • Supplementary Angles – Two angles are said to be supplementary if the sum of their measures is 1800

8. How will Vedantu’s RS Aggarwal solutions guide me?

Our RS Aggarwal Solutions are the perfect study material for the students of Class 9. The solutions provided by us will help them gain a better understanding of various characteristics related to Maths. All our Solutions are written in a very simple language to make better use of it. 

RS Aggarwal Solutions for Class 9 Maths will help the students to ace the exam. The substantial practice will make sure that the students write the exams with more confidence. This will aid the students in evaluating their comprehension completely. The solutions provided by us will help you in gaining knowledge and create a strong foundation with the concepts.