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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.

AssignmentsBag.com

Assignments For Class 9 Mathematics

Assignments for Class 9 Mathematics have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics book and get good marks in class 9 exams.

Assignments with Answers for Class 9 Mathematics

Assignments for class 9 mathematics as per cbse and ncert pattern, more assignments for class 9 mathematics, assignments for class 9 mathematics as per cbse ncert pattern.

All students studying in Grade 9 Mathematics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics exam for standard 9. We have made sure that all topics given in your textbook for Mathematics which is suggested in Class 9 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Some advantages of Free Assignments for Class 9 Mathematics

• Solving Assignments for Mathematics Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by Mathematics teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your Mathematics class test
• You will be able to revise all topics given in the ebook for Class 9 Mathematics as all questions have been provided in the question banks
• NCERT Class 9 Mathematics Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Assignments PDF.

You can download free assignments for class 9 Mathematics from https://www.assignmentsbag.com

You can get free PDF downloadable assignments for Grade 9 Mathematics from our website which has been developed by teachers after doing extensive research in each topic.

On our website we have provided assignments for all subjects in Grade 9, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

You can easily get question banks, topic wise notes and questions and other useful study material from https://www.assignmentsbag.com without any charge

Yes all test papers for Mathematics Class 9 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

https://www.assignmentsbag.com is the best portal to download all assignments for all classes without any charges.

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• CBSE Maths Important Questions
• Class 9 Maths
• Chapter 1: Number System

Important Questions Class 9 Maths Chapter 1 Number System

Important questions for Class 9 Maths Chapter 1 Number system are given here. These practice questions will help the students to build a better understanding of the  Number system concept in Maths. These Class 9 Chapter 1 questions are important for CBSE Class 9 Maths exams. These important questions give an overview of the question types that are asked in the final exams and so students are able to face the exams more confidently.

Also Check:

• Important 2 Marks Questions for CBSE 9th Maths
• Important 3 Marks Questions for CBSE 9th Maths
• Important 4 Marks Questions for CBSE 9th Maths

Number System Important Questions For Class 9 (Chapter 1)

Below given important Number system questions for 9th class students will help them to get acquainted with a wide variation of questions and thus, develop problem-solving skills.

Q.1:  Find five rational numbers between 1 and 2.

We have to find five rational numbers between 1 and 2.

So, let us write the numbers with denominator 5 + 1 = 6 

Thus, 6/6 = 1, 12/6 = 2

From this, we can write the five rational numbers between 6/6 and 12/6 as:

7/6, 8/6, 9/6, 10/6, 11/6

Q.2:  Find five rational numbers between 3/5 and 4/5.

We have to find five rational numbers between 3/5 and 4/5.

So, let us write the given numbers by multiplying with 6/6, (here 6 = 5 + 1)

3/5 = (3/5) × (6/6) = 18/30

4/5 = (4/5) × (6/6) = 24/30

Thus, the required five rational numbers will be: 19/30, 20/30, 21/30, 22/30, 23/30

Q.3:  Locate √ 3 on the number line.

Construct BD of unit length perpendicular to OB (here, OA = AB = 1 unit) as shown in the figure.

By Pythagoras theorem,

OD = √(2 + 1) = √3

Taking O as the centre and OD as radius, draw an arc which intersects the number line at the point Q using a compass.

Therefore, Q corresponds to the value of √3 on the number line.

Q.4:  Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

No, since the square root of a positive integer 16 is equal to 4. Here, 4 is a rational number.

Q.5:  Find the decimal expansions of 10/3, 7/8 and 1/7.

Therefore, 10/3 = 3.3333…

7/8 = 0.875

1/7 = 0.1428571…

Let x = 0.3333…. 

Multiply with 10,

10x = 3.3333…

Now, 3.3333… = 3 + x (as we assumed x = 0.3333…)

Thus, 10x = 3 + x

10x – x = 3

Therefore, 0.3333… = 1/3. Here, 1/3 is in the form of p/q and q ≠ 0.

Q.7:  What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? Perform the division to check your answer.

Thus, 1/17 = 0.0588235294117647….

Therefore, 1/17 has 16 digits in the repeating block of digits in the decimal expansion.

Q.8:  Find three different irrational numbers between the rational numbers 5/7 and 9/11.

The given two rational numbers are 5/7 and 9/11.

5/7 = 0.714285714…..

9/11 = 0.81818181……

Hence, the three irrational numbers between 5/7 and 9/11 can be:

0.720720072000…

0.730730073000…

0.808008000…

Q.9:  Visualise 3.765 on the number line, using successive magnification.

Visualisation of 3.765 on the number line, using successive magnification is given below:

Q.10:  Add 2 √ 2+ 5 √ 3 and √ 2 – 3 √ 3.

(2√2 + 5√3) + (√2 – 3√3)

= 2√2 + 5√3 + √2 – 3√3

= (2 + 1)√2 + (5 – 3)√3

= 3√2 + 2√3

Q.11: Simplify: ( √3+√7) (√3-√7). 

(√3 + √7)(√3 – √7)

Using the identity (a + b)(a – b) = a 2 – b 2 ,

(√3 + √7)(√3 – √7) = (√3) 2  – (√7) 2

= 3 – 7

Q.12: Rationalise the denominator of 1/[7+3 √3].

1/(7 + 3√3)

By rationalizing the denominator,

= [1/(7 + 3√3)] [(7 – 3√3)/(7 – 3√3)]

= (7 – 3√3)/[(7) 2  – (3√3) 2 ]

= (7 – 3√3)/(49 – 27)

= (7 – 3√3)/22

Q.13:  Represent √( 9.3) on the number line.

Representation of √9.3 on the number line is given below:

Q.14: Simplify:

(i) 7 2/3 .7 1/5 (ii) 10 1/2 /10 1/4

(i) 7 2/3 .7 1/5

Bases are equal, so add the powers.

7 (2/3 + 1/5)

= 7 (10 + 3)/15

(ii) 10 1/2 /10 1/4

Bases are equal, so subtract the powers.

= 10 (1/2 – 1/4)

Q.15:   What is the product of a rational and an irrational number? a) Always an integer b) Always a rational number c) Always an irrational number d) Sometimes rational and sometimes irrational

Correct answer: Option (c)

Explanation:

The product of a rational and an irrational number is always an irrational number.

For example, 2 is a rational number and √3 is irrational. Thus, 2√3 is always an irrational number.

Q.16: What is the value of (256) 0.16  X (256) 0.09 ? a) 4 b) 16 c) 64 d) 256.25

Correct answer: Option (a)

(256) 0.16 x (256) 0.09 = (256) (0.16 + 0.09)

= (256) 0.25

= (256) (25/100)

= (256) (1/4)

= (4 4 ) (1/4)

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Question of class 9 math chapter 1

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MATHEMATICS ASSIGNMENT CLASS IX  NUMBER SYSTEM

 (a) 1⁸ × 3⁰ × 5³ × 2²           Ans; 500,                

(b)  4 -3 × 4⁸ ÷ 4²                Ans; 64

(d) 3 -4 × 3 -5 ÷ 3¹⁰             Ans; 3 -19

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Class 9 Mathematics Quadrilateral Assignments

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

Mathematics Quadrilateral Class 9 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 9 Mathematics Quadrilateral . Students and teachers can download and save all free Mathematics Quadrilateral assignments in Pdf for grade 9th. Our expert faculty have covered Class 9 important questions and answers for Mathematics Quadrilateral as per the latest syllabus for the current academic year. All test papers and question banks for Class 9 Mathematics Quadrilateral and CBSE Assignments for Mathematics Quadrilateral 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.

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