9th maths assignment answers 2021

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 9 Maths – Class 9 Maths NCERT Solutions

If you are searching for NCERT Solutions for Class 9 Maths , you have reached the correct place. LearnCBSE.in has created most accurate and detailed solutions for Class 9 Maths NCERT solutions. NCERT Class 9 Maths Solutions includes all the questions provided as per new revised syllabus in Class 9 math NCERT textbook.  You can download PDFs of Maths NCERT Solutions Class 9 without LOGIN. You can also practice Extra Questions for Class 9 Maths  on LearnCBSE.in

NCERT Class 9 Maths Solutions –  NCERT Solutions Class 9 Maths

• Chapter 1 Number systems
• Chapter 2 Polynomials
• Chapter 3 Coordinate Geometry
• Chapter 4 Linear Equations in Two Variables
• Chapter 5 Introduction to Euclid Geometry
• Chapter 6 Lines and Angles
• Chapter 7 Triangles
• Chapter 8 Quadrilaterals
• Chapter 9 Areas of Parallelograms and Triangles
• Chapter 10 Circles
• Chapter 11 Constructions
• Chapter 12 Heron’s Formula
• Chapter 13 Surface Areas and Volumes
• Chapter 14 Statistics
• Chapter 15 Probability
• Class 9 Maths (Download PDF)

There are 15 chapters in class 9 maths. These chapters lay a foundation for the chapters that will come in class 10. This pdf is accessible to everyone and they can use this pdf based on their convenience. Here below we are helping you with the overview of each and every chapter appearing in the textbook.

NCERT Solutions for Class 9 Maths Chapter 1

• Class 9 Maths Number systems Exercise 1.1
• Class 9 Maths Number systems Exercise 1.2
• Class 9 Maths Number systems Exercise 1.3
• Class 9 Maths Number systems Exercise 1.4
• Class 9 Maths Number Systems Exercise 1.5
• Class 9 Maths Number Systems Exercise 1.6
• Number Systems Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 2

• Class 9 Maths Polynomials Exercise 2.1
• Class 9 Maths Polynomials Exercise 2.2
• Class 9 Maths Polynomials Exercise 2.3
• Class 9 Maths Polynomials Exercise 2.4
• Class 9 Maths Polynomials Exercise 2.5
• Polynomials Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 3

• Class 9 Maths Coordinate Geometry Exercise 3.1
• Class 9 Maths Coordinate Geometry Exercise 3.2
• Class 9 Maths Coordinate Geometry Exercise 3.3
• Coordinate Geometry Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 4

• Class 9 Maths Linear Equations in Two Variables Exercise 4.1
• Class 9 Maths Linear Equations in Two Variables Exercise 4.2
• Class 9 Maths Linear Equations in Two Variables Exercise 4.3
• Class 9 Maths Linear Equations in Two Variables Exercise 4.4
• Linear Equations for Two Variables Class 9 Extra Questions
• Linear Equations in Two Variables Class 9 Word Problems and Important Questions

NCERT Solutions for Class 9 Maths Chapter 5

• Class 9 Maths Introduction to Euclid Geometry Exercise 5.1
• Chapter 5 Introduction to Euclid’s Geometry Ex  5.2
• Introduction to Euclid’s Geometry Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 6

• Class 9 Maths Lines and Angles Exercise 6.1
• Class 9 Maths Lines and Angles Exercise 6.2
• Class 9 Maths Lines and Angles Exercise 6.3
• Lines and Angles Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 7

• Class 9 Maths Triangles Exercise 7.1
• Class 9 Maths Triangles Exercise 7.2
• Class 9 Maths Triangles Exercise 7.3
• Class 9 Maths Triangles Exercise 7.4
• Chapter 7 Triangles Ex 7.5
• Triangles Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 8

• Class 9 Maths Quadrilaterals Exercise 8.1
• Class 9 Maths Quadrilaterals Exercise 8.2
• Quadrilaterals Class 9 Extra Questions
• Quadrilaterals Class 9 Maths Important Questions

NCERT Solutions for Class 9 Maths Chapter 9

• Class 9 Maths Areas of Parallelograms and Triangles Exercise 9.1
• Class 9 Maths Areas of Parallelograms and Triangles Exercise 9.2
• Class 9 Maths Areas of Parallelograms and Triangles Exercise 9.3
• Chapter 9 Areas of Parallelograms and Triangles Ex 9.4
• Areas of Parallelograms and Triangles Class 9 Extra Questions

NCERT Solutions for Class 9 Maths Chapter 10

• Class 9 Maths Circles Exercise 10.1
• Class 9 Maths Circles Exercise 10.2
• Class 9 Maths Circles Exercise 10.3
• Class 9 Maths Circles Exercise 10.4
• Class 9 Maths Circles Exercise 10.5
• Chapter 10 Circles Ex 10.6
• Circles Class 9 Extra Questions
• Circles Class 9 Maths Important Questions with Answers

NCERT Solutions for Class 9 Maths Chapter 11

• Class 9 Maths Constructions Exercise 11.1
• Class 9 Maths Constructions Exercise 11.2
• Constructions Class 9 Extra Questions
• Class 9 Maths Constructions Important Questions

NCERT Solutions for Class 9 Maths Chapter 12

• Class 9 Maths Heron’s Formula Exercise 12.1
• Class 9 Maths Heron’s Formula Exercise 12.2
• Heron’s Formula Class 9 Extra Questions
• Class 9 Areas of Parallelograms and Triangles Worksheets with Solutions

NCERT Solutions for Class 9 Maths Chapter 13

• Class 9 Maths Surface Areas and Volumes Exercise 13.1
• Class 9 Maths Surface Areas and Volumes Exercise 13.2
• Class 9 Maths Surface Areas and Volumes Exercise 13.3
• Class 9 Maths Surface Areas and Volumes Exercise 13.4
• Class 9 Maths Surface Areas and Volumes Exercise 13.5
• Class 9 Maths Surface Areas and Volumes Exercise 13.6
• Class 9 Maths Surface Areas and Volumes Exercise 13.7
• Class 9 Maths Surface Areas and Volumes Exercise 13.8
• Chapter 13 Surface Areas and Volumes Ex 13.9
• Surface Areas and Volumes Class 9 Extra Questions
• Surface Areas and Volumes Word Problems and Important Questions

NCERT Solutions for Class 9 Maths Chapter 14

• Class 9 Maths Statistics Exercise 14.1
• Class 9 Maths Statistics Exercise 14.2
• Class 9 Maths Statistics Exercise 14.3
• Class 9 Maths Statistics Exercise 14.4
• Statistics Class 9 Extra Questions
• Maths Class 9 Statistics Important Questions with solutions

NCERT Solutions for Class 9 Maths Chapter 15

• Class 9 Maths Probability Exercise 15.1
• Probability Class 9 Extra Questions
• Class 9 Probability Important Questions

Maths NCERT Solutions

In this article, we will provide you all the necessary information regarding Class 9th Maths NCERT Solutions. NCERT Maths Class 9 Textbook Solutions is solved by expert teachers provide you a strong foundation in the subject Maths. The 9th CBSE Maths Solutions are solved keeping various parameters in mind such as stepwise marks, formulas, mark distribution, etc., This in turn, helps you not to lose even a single mark.

It is important to build a strong base in maths. This is one subject that will be useful for every student irrespective of their branch. And thus we are helping you with NCERT Solutions of Class 9 Maths. This pdf can guide you to all the solutions given in the NCERT textbook along with the exercise.

Maths plays a major role in every student’s life. Working on NCERT Solutions Class 9 Maths Notes will not only help you to score good marks in the grade 9 but also helps you to clear the toughest competitive exams like JEE, NEET, JEE Advanced etc., Further it is CBSE Class 9 Maths Solutions will also be helpful to clear the exams like Olympiad, NTSE, through which you can easily avail scholarship and make your education journey hassle free. Read on to find out everything about NCERT Class 9th Maths Solutions to secure colorful marks in CBSE grade 9.

CBSE Class 9 Maths Unit Wise Weightage

NCERT Solutions for Class 9 Maths PDF Download

Browse all 9th NCERT Maths Solutions from your mobile or desktop and gain more marks in your exams. You can also go through the Chapterwise Important Questions for Class 9 Maths which will help you in extra practice and exams. This consists of 1 mark Questions, 2 Mark Numericals Questions, 3 Marks Numerical Questions, 4 Marks Questions, Word Problems, and previous year questions (VSAQ, SAQ, LAQ, and Value-Based Questions) from all chapters in class 9 maths designed according to CBSE Class 9 Maths Syllabus are laid in a sequential manner will help in scoring more marks in your Board Examinations.

Class 9 Maths Chapter 1 Number Systems

This chapter is an extension of the number line you have studied in the previous standards. You will also get know how to place various types of numbers on the number line in this chapter. A total of 6 exercises in this chapter guides you through the representation of terminating or non terminating of the recurring decimals on the number line. Along with the rational numbers, you will also learn where to put the square roots of 2 and 3 on the number line. There are also laws of rational exponents and Integral powers taught in this chapter.

Class 9 Maths Chapter 2 Polynomials

This chapter guides you through algebraic expressions called polynomial and various terminologies related to it. There is plenty to learn in this chapter about the definition and examples of polynomials, coefficient, degrees, and terms in a polynomial. Different types of polynomials like quadratic polynomials, linear constant, cubic polynomials, factor theorems, factorization theorem are taught in this chapter.

Class 9 Maths Chapter 3 Coordinate Geometry

A total of 3 exercises in this chapter will help you understand coordinate geometry in detail. Along with there are concepts like concepts of a Cartesian plane, terms, and various terms associated with the coordinate plane are learned in this chapter. You will also learn about plotting a point in the XY plane and naming process of this point.

Class 9 Maths Chapter 4 Linear Equations in Two Variables

This chapter will introduce to a new equation, ax + by + c = 0 in two variables. The questions in this chapter will be related to proving that a linear number has infinite solutions, using ba graph to plot linear equation, and justifying any point on a line. A total of 4 exercises are there for your practice and understanding.

Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

The chapter begins with the introduction of Indian geometry as it has some base in Euclid’s geometry. The Introduction of Euclid’s geometry in this chapter helps you with a process of defining geometrical terms and shapes. There are a total of 2 exercises where you will dwell into the relationship between theorems, postulates, and axioms.

Class 9 Maths Chapter 6 Lines and Angles

This chapter in the NCERT textbook also has 2 exercises in it. There are various theorems on angles and lines in this chapter that can be asked in for proof. The first theorem which will be asked for proof is “If the two lines are intersecting each other, then the vertically opposite angles formed will be equal”. Also, the second proof that is asked is, “The sum of all the angles formed in a triangle is 180°”. There are other theorems also given, but these are based on only these two theorems.

Class 9 Maths Chapter 7 Triangles

The contents in this chapter will help in understanding the congruence of triangles along with the rules of congruence. This chapter also has two theorems in it and a total of 5 exercises for students to practice. These two theorems are given as proof while the other is used in the problems or applications. Besides this, there are many properties of inequalities and triangles in this chapter for students to learn.

Class 9 Maths Chapter 8 Quadrilaterals

This chapter is very interesting for students to learn and there are only 2 exercises in it. The questions in this chapter are related to the properties related to quadrilateral and their combinations with the triangles.

Class 9 Maths Chapter 9 Areas of Triangles and Parallelogram

This chapter is important to understand the meaning of the area with this, the areas of the triangle, parallelogram, and their combinations are asked in this chapter along with their proofs. There are also examples of the an which are used as a proof of theorems in this chapter.

Class 9 Maths Chapter 10 Circles

In this chapter, you will get to learn some interesting topics like equal chords and their distance from the center, the chord of a point and angle subtended by it, angles which are subtended by an arc of a circle, and cyclic quadrilaterals. There are also theorems in this chapter which are helpful to prove questions based on quadrilaterals, triangles, and circles.

Class 9 Maths Chapter 11 Constructions

This chapter will help you learn two different categories of construction. One of them is the construction of a triangle along with its base, difference or sum of the remaining two sides, and one base angle with base angle and parameters are given. The other is the construction of bisectors for the line segments and measuring angles that include 45/60/90, etc.

Class 9 Maths Chapter 12 Heron’s Formula

This chapter joins the long list NCERT chapters that also has 2 exercises in it. In this chapter, you will be learning the concepts that are an extension of concepts related to the area of a triangle. Furthermore, you will get to learn about finding the area of triangles, quadrilaterals, and various types of polygons. Along with the, is there is also knowledge of formula for the plane figures given in the chapter.

Class 9 Maths Chapter 13 Surface Areas and Volume

Every one of you has already studied mensuration in previous standards. Thus, you must be aware of surface areas and this chapter is on that. Along with this, this chapter also has a volume of cubes, cylinders, cuboids, cones, hemispheres, and spheres. Also, in this chapter, you will get to know about the conversion of one figure into another, and comparing volumes of two figures.

Class 9 Maths Chapter 14 Statistics

In this chapter, you will get the knowledge about the descriptive statistics and the collection of data based on different aspects of life. This is useful for interpretation and stating the inferences from the data. This chapter gives the basic knowledge of the collection of data as the data is available in raw form. As you move forward and study 5 exercises you will learn about presenting data in tabular form by keeping them together in regular intervals, polygon, histogram, or bar graph drawing. You will also get to the topics like mean, median, and mode and finding the central tendency with the raw data.

Class 9 Maths Chapter 15 Probability

Probability in this book is based on the observation approach or finding the frequency. Questions in this chapter are very intuitive as they are based on daily life or day to day situations. For example, incidents like throwing dice, coin tossing, the probability for a deck of cards and simple events. If you are curious this chapter can be very interesting for you to learn and understand.

There may be a few times where you feel you are stuck and not getting the desired solutions. This is where we can you with NCERT solutions for class 9 maths. You can use this article as a reference for all the chapters in the NCERT book.

FAQs on NCERT Solutions for Class 9 Maths

1.  How do I study for the CBSE Class 9 Maths Solutions?

Practice the CBSE 9th Maths Solutions and try covering all the topics and questions carefully.

2. How could I learn Class 9 maths in an efficient and fast way?

The best way to learn fast is to solve NCERT. NCERT has few questions but has great importance in papers. If you can solve the whole NCERT with examples, you can easily score well. If you ample time try referring to RD Sharma too as it’s the best book.

3. Can I get solved math questions for the Class 9 CBSE?

Yes, you can get solved math questions for Class 9 CBSE Exams from our page. Access the direct links available on our page and download them for free of cost.

4.  Which is the best maths guide for 9th CBSE?

NCERT Solutions for Class 9 Maths will help you aid your preparation. Get a good grip over the subject by practicing more and more NCERT Solutions prevailing on our page.

5. How can I download the NCERT Solution Book for the CBSE Class 9 Maths?

Aspirants can download the CBSE Class 9 Maths NCERT Solutions by tapping on the direct links available. Lay a stronger foundation of the concepts by referring to the NCERT Solutions.

6. How long should a student of Class 9 practice math?

It’s not about the time limit. Try practicing as much as you can and revise the complete syllabus of Class 9 Maths for the exams to score well.

Now that you are provided all the necessary information regarding NCERT Solutions for class 9 Maths and we hope this detailed article on Class 9 Maths NCERT Solutions is helpful. If you have any doubt regarding this article or NCERT Class 9 Maths Solutions, leave your comments in the comment section below and we will get back to you as soon as possible.

Free Resources

NCERT Solutions

Quick Resources

• Grade 9 - Past Papers (All Subjects)

Grade 9 Past Papers & Memos – All Subjects

by Editorial Team · Published December 13, 2021 · Updated June 13, 2023

Are you in need of Grade 9 Past Papers & Memos – All Subjects ? It can be a challenge to look for the latest question papers and their respective memorandums, let alone study Guides.

See the downloadable link below for your required past exam paper with the memorandum. These past papers are for learners in grade 9. This content is designed to assist the  end-user with the Department of education syllabus. Go ahead and click on the following link(s) below in order to download the required. Grade 9 Past Papers & Memos.

Please note: These question papers and their respective memorandums are free for public use. In no way are the provided papers for sales or distribution for coursework.

Maths101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public. Please see below Grade 9 Past Papers & Memos.

The below question papers and their memorandum contain subject matter pertaining to trigonometry, financial maths, statistics, probability, analytical geometry, solving for x and many more problems. If you strive to get the best results, the development team recommends testing yourself with the question paper and checking your results vs the respective memorandum. This is one of the best methods in achieving academic success.

Grade 9 Past Papers & Memos – All Subjects

Afrikaans first additional language past papers & memos: grade 9, afrikaans home language past papers & memos: grade 9, creative art (arts and culture) past papers & memos: grade 9, economic management services (ems) past papers & memos: grade 9, english home language past papers & memos: grade 9, english first additional language past papers & memos: grade 9, life orientation (lo) past papers & memos: grade 9, mathematics past papers & memos: grade 9, natural science past papers & memos: grade 9, sesotho home language past papers & memos: grade 9, social science past papers & memos: grade 9, technology past papers & memos: grade 9, xhosa first additional language past papers & memos: grade 9, xhosa home language past papers & memos: grade 9.

Our development team hope you enjoy the content provided. Please leave us a comment below should you have any queries or concerns. This content is designed to assist the  end-user with the Department of education syllabus.

Please note: Should you not be able to find the necessary memorandum for the desired question paper. Please take the question paper to your teacher and discuss the complex concepts in more detail.

We hop e you enjoy it.

Tags: All Subjects Grade 9 Past Papers & Memos

You may also like...

Grade 9 Past Papers & Memos – English Home Language

December 12, 2021

 by Editorial Team · Published December 12, 2021 · Last modified June 13, 2023

Grade 9 Past Papers & Memos – Afrikaans FAL

December 10, 2021

 by Editorial Team · Published December 10, 2021 · Last modified June 13, 2023

Grade 9 Past Papers & Memos – Sesotho Home Language

• Next story  Grade 10 Past Papers & Memos – Accounting
• Previous story  Grade 9 Past Papers & Memos -Xhosa Home Language

Mathematics Gr 9 FAT 3 2 - Assignment Graphs Term 3 final

Related documents.

Study collections

• Mathematics Grade 9 Task
• Tshepiso Mbuthuma
• Vele Mulaudzi

Add this document to collection(s)

You can add this document to your study collection(s)

Add this document to saved

You can add this document to your saved list

Suggest us how to improve StudyLib

(For complaints, use another form )

Input it if you want to receive answer

• Google Plus

Home » GRADE 9 MATHEMATICS

GRADE 9 MATHEMATICS

Download free printable Grade 9 Mathematics Worksheets, Tests, Assignments, Investigations and Projects.

Algebraic equations

Cartesian plane position and movements

Data handling 2

Data handling

Data interpretation

Drawing and interpretation of graphs

Equation and expression

Equations, expressions and factorization

Expressions and equations

Expressions

Factorization

Finance mathematics

Finance maths

Financial maths 1

Financial maths 3

Functional costs

Functional relationship and equations

Functional relationship

Functions and equations

Functions and graphs

Geometric shapes

Geometry of straight-line, circles, and triangles

Inequalities, equations and area

Intersections

Linear equations

Linear functions and area

Measure of central tendency

Measurement, distance and volume

Number Patterns

Number Patterns 2

Number sequence

Parallel lines, angles and exponents

Probability and graphs

Probability and relative frequency

Probability

Problem solving – measurement

Problem solving – measurement2

Problem solving

Properties of rational numbers and zero

Rate and functions

Ratio and proportion

Ratio and rate

Ratio, rate and proportion

Ratio, rate and proportion2

Rational numbers

Solution of equation and inequalities

Space, measurement and shape

Space, shape and measurement

Theorem of Pythagoras

Transformation and the cartesian plane

Transformation geometry and geometric shapes

NCERT Solutions for Class 9 Maths

NCERT Solutions for Class 9 Maths in Hindi and English Medium are given here along with class 9th Maths current syllabus. NCERT Solutions for Class 9 Maths in Hindi and English Medium have been updated for session 2024-25. We at Tiwari Academy have spared no effort in providing the best NCERT Solutions for Class 9 Maths keeping in mind needs of the students. Tiwari Academy’s NCERT Solutions are helpful to students by providing conceptual clarity and developing problem-solving ability. Class 9 Maths Syllabus for 2024-25 Chapter 1. Number Systems Chapter 2. Polynomials Chapter 3. Coordinate Geometry Chapter 4. Linear Equations in Two Variables Chapter 5. Introduction to Euclid’s Geometry Chapter 6. Lines and Angles Chapter 7. Triangles Chapter 8. Quadrilaterals Chapter 9. Circles Chapter 10. Heron’s Formula Chapter 11. Surface Areas and Volumes Chapter 12. Statistics For other State Boards Chapter 13. Surface Areas and Volumes Chapter 14. Statistics Chapter 15. Probability

NCERT Solutions of Class 9 Maths

The solutions and answers have been suitably modified and revised taking into account the guidelines of CBSE and State board 9th Maths curriculum 2024-25 . Your valuable feedback and Review would help us to improve further our answers. Class 9 Solution Apps Download Class 9 Math solutions can be found in various formats, including printed books, online resources, and mobile applications. Some websites like Tiwari Academy consider a sacred social responsibility by offering free access to NCERT solutions, so that education becomes accessible to one and all.

CBSE Syllabus for Class 9 Maths Revised for 2024-25

• CBSE Syllabus for Class 9 Maths

NCERT solutions are considered very useful for students as they are developed by subject experts based on curriculum prescribed by CBSE. If you are searching for the Class 9 Maths UP Board NCERT Solutions revised for 2024-25 exams, then do not worry. The good news is that Tiwari Academy has provided updated NCERT textbook solutions for Class 9 Mathematics here for all chapters. These are helpful in scoring more marks in the examination. They provide a solid foundation for understanding mathematical concepts and enable students to excel in their studies.

NCERT Solution Apps for 9th Class You can get to know about various concepts while solving Class 9 Maths NCERT Solutions , which will be useful in your higher classes. Get Class 9th Maths question answers for the new Academic year based on latest NCERT book syllabus.

Tiwari Academy’s Educational App sends notifications and reminders for important dates, exams and study schedules. These help students to stay organized and on track with their studies. Students can monitor their scores, completion of exercises and areas where they need improvement.

How to Score well in class 9 Maths Exams For a Class 9 student aiming to excel in Maths, a structured approach to learning and practice is the key. Start by thoroughly understanding the current syllabus and the fundamental concepts it covers.

Physical exercise, hobbies, or even short walks can be refreshing and help in maintaining focus during study sessions. A positive mindset and belief in your ability to learn and improve will go a long way in improving your overall personality. Regular self-assessment mathematics through quizzes or timed practice sessions can be beneficial. This not only helps in identifying areas that need more attention but also builds confidence.

NCERT Solutions for Class 9 Maths All Chapters

These Chapter Wise NCERT Solutions for Class 9 Maths App is well designed so that class 9 students can easily understand each sum’s solutions. The Class 9th NCERT Math textbook has a total of 12 chapters which are divided into six units. Solving Class 9th Maths solution in each chapter will ensure positive results. Chapters covered in the NCERT 9th Math textbook are Number System, Polynomials, Introduction to Euclids Geometry, Quadrilaterals, Surface Areas, Heron’s Formula, and Volumes, Statistics etc. 

NCERT Class 9 Maths Chapters Solutions

Students who are facing any trouble in solving tough Class 9th Maths problems can get best help from these CBSE Maths Class 9 Solutions of NCERT (https://ncert.nic.in/) textbooks. The syllabus contains 12 chapters with important topics. Here all solutions build your fundamental very clear and efficiency by solving theses exercise-wise solutions.

NCERT Solutions for Class 9 Maths Chapter 1 – Number System

NCERT Solutions for Class 9 Maths Chapter 1 introduce you different topics such as rational numbers and irrational numbers. You can learn how to represent the integers, rational and irrational numbers in a line. Here you get an overall knowledge of the number line.

Class 9 Maths Chapter 1 for CBSE Board Class 9 Maths Exercise 1.1 in English Class 9 Maths Exercise 1.2 in English Class 9 Maths Exercise 1.3 in English Class 9 Maths Exercise 1.4 in English Class 9 Maths Exercise 1.5 in English

Class 9 Maths Chapter 1 Solution for State Boards Class 9 Maths Chapter 1 Exercise 1.1 Class 9 Maths Chapter 1 Exercise 1.2 Class 9 Maths Chapter 1 Exercise 1.3 Class 9 Maths Chapter 1 Exercise 1.4 Class 9 Maths Chapter 1 Exercise 1.5 Class 9 Maths Chapter 1 Exercise 1.6

Class 9 Maths Chapter 1 in Hindi Medium Class 9 Maths Exercise 1.1 in Hindi Class 9 Maths Exercise 1.2 in Hindi Class 9 Maths Exercise 1.3 in Hindi Class 9 Maths Exercise 1.4 in Hindi Class 9 Maths Exercise 1.5 in Hindi

There are five exercises in this NCERT Solutions for Class 9 Maths Chapter 1 Number System, where you can also find all word problems based on 9th Class Maths NCERT Book. You can learn from these 9th Class Maths Book Solution, the representation of terminating and non-terminating recurring decimals, presentation of square roots of 2, 3, other non-rational numbers on the number line.

Topics to Study in Class 9 Maths Chapter 1 Number Systems Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers. 2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number. 3. Definition of nth root of a real number. 4. Rationalization (with precise meaning) of real numbers of the type 1/(a + b√x) and 1/(√x + √y) (and their combinations) where x and y are natural number and a and b are integers. 5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

NCERT Solutions for Class 9 Maths Chapter 2 – Polynomials

Get NCERT Solutions for Class 9 Maths Chapter 2 here with free of cost, and all solutions are solved by the professional Maths teacher. Class 9 Maths Chapter 2 for CBSE Board Class 9 Maths Exercise 2.1 in English Class 9 Maths Exercise 2.2 in English Class 9 Maths Exercise 2.3 in English Class 9 Maths Exercise 2.4 in English

Class 9 Maths Chapter 2 Solution for State Boards Class 9 Maths Chapter 2 Exercise 2.1 Class 9 Maths Chapter 2 Exercise 2.2 Class 9 Maths Chapter 2 Exercise 2.3 Class 9 Maths Chapter 2 Exercise 2.4 Class 9 Maths Chapter 2 Exercise 2.5

Class 9 Maths Chapter 2 in Hindi Medium Class 9 Maths Exercise 2.1 in Hindi Class 9 Maths Exercise 2.2 in Hindi Class 9 Maths Exercise 2.3 in Hindi Class 9 Maths Exercise 2.4 in Hindi

This chapter Polynomial consists of variables and coefficients, its operations of addition, subtraction, multiplication and also non-negative integer exponents of variables.

Topics of Class 9 Maths Chapter 2 Polynomials Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax² + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities: (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx (x + y)³ = x³ + y³ + 3xy(x + y) (x – y)³ = x³ – y³ – 3xy(x – y) x³ + y³ = (x + y)(x² – xy + y²) x³ – y³ = (x – y)(x² + xy + y²) x³ + y³ + z³ – 3xyz = (x + y)(x² + y² + z² – xy – yz – 2zx) and their use in factorization of polynomials.

NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry

Students can get NCERT exercises solutions for Class 9 Maths Chapter 3 with free of cost. This chapter 3 introduced the concepts of the cartesian plane, coordinates of a point in the plane, terms, coordinate plan notations, x-axis, y-axis, x- coordinate, y-coordinate, quadrants, origin and many more.

Class 9 Maths Chapter 3 for CBSE Board Class 9 Maths Exercise 3.1 in English Class 9 Maths Exercise 3.2 in English

Class 9 Maths Chapter 3 for State Boards Class 9 Maths Chapter 3 Exercise 3.1 Class 9 Maths Chapter 3 Exercise 3.2 Class 9 Maths Chapter 3 Exercise 3.3

Class 9 Maths Chapter 3 in Hindi Medium Class 9 Maths Exercise 3.1 in Hindi Class 9 Maths Exercise 3.2 in Hindi

In NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry, students learn coordinate plane and the mutually perpendicular lines which are called axe. They downloads NCERT Solutions for Class 9 Maths PDF to learn offline anywhere. Get Chapter Number System Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 3 Coordinate Geometry Main Points The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

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

NCERT Solutions for Class 9 Maths Chapter 4 teaches you here about the knowledge of linear equations in one variable. In this chapter, know about linear equations in two variables, such as ax + by + c = 0. Learn here how to graph of a linear equation in two variables.

Class 9 Maths Chapter 4 for CBSE Board Class 9 Maths Exercise 4.1 in English Class 9 Maths Exercise 4.2 in English

Class 9 Maths Chapter 4 for State Boards Class 9 Maths Chapter 4 Exercise 4.1 Class 9 Maths Chapter 4 Exercise 4.2 Class 9 Maths Chapter 4 Exercise 4.3 Class 9 Maths Chapter 4 Exercise 4.4

Class 9 Maths Chapter 4 in Hindi Medium Class 9 Maths Exercise 4.1 in Hindi Class 9 Maths Exercise 4.2 in Hindi

There are only two exercises in this NCERT Solutions for Class 9 Maths Chapter 9 Linear Equations in Two Variables. Download NCERT Solutions for Class 9 Maths PDF free of cost and study at any time anywhere. Students take the benefits clearing all the concepts of each math sum. Download free unlimited Chapter Linear Equations in Two Variables Class 9 Maths Solutions in Hindi Medium and English Medium.

Topics to be covered in Class 9 Maths Chapter 4 Linear Equations in Two Variables Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c = 0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

NCERT Solutions for Class 9 Maths Chapter 5 – Introduction to Euclid’s Geometry

Get NCERT Solutions for Class 9 Maths Chapter 5 for all exercises. This chapter includes Euclid’s approach to geometry which is used the present-day geometry. In NCERT exercises for Class 9 Maths Introduction to Euclid’s Geometry defining common geometrical shapes and terms.

Class 9 Maths Chapter 5 for CBSE Board Class 9 Maths Exercise 5.1 in English

Class 9 Maths Chapter 5 for State Boards Class 9 Maths Chapter 5 Exercise 5.1 Class 9 Maths Chapter 5 Exercise 5.2

Class 9 Maths Chapter 5 in Hindi Medium Class 9 Maths Exercise 5.1 in Hindi

There is only one exercise in this 9th Class Maths Book Solution which teach you deeper knowledge relation between axiom, postulates, and theorems. Download here Chapter Euclid’s Geometry Class 9 Maths Solutions in Hindi medium and English medium.

Syllabus of Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.

NCERT Solutions for Class 9 Maths Chapter 6 – Lines and Angles

NCERT Solutions for Class 9 Maths Chapter 6 revolves around the theorems present in the topics of Lines and Angles.

Class 9 Maths Chapter 6 Solutions for CBSE Board Class 9 Maths Exercise 6.1 in English Class 9 Maths Exercise 6.2 in English

Class 9 Maths Chapter 6 Solutions for State Boards Class 9 Maths Chapter 6 Exercise 6.1 Class 9 Maths Chapter 6 Exercise 6.2 Class 9 Maths Chapter 6 Exercise 6.3

Class 9 Maths Chapter 6 in Hindi Medium Class 9 Maths Exercise 6.1 in Hindi Class 9 Maths Exercise 6.2 in Hindi

9th Maths Book Solution are provided here are well-reviewed. Get free NCERT Solutions for Class 9 Maths in PDF for offline study. Practice these solutions thoroughly to get maximum marks in the final exam. Download Chapter Lines and Angles Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 6 Lines and Angles Topics 1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and the converse. 2. (Prove) If two lines intersect, vertically opposite angles are equal. 3. (Motivate) Lines which are parallel to a given line are parallel.

NCERT Solutions for Class 9 Maths Chapter 7 – Triangles

Get NCERT Solutions for Class 9 Maths Chapter 7 , and students will study detail knowledge about the triangle, congruence of triangles, rules of congruence, and its properties of triangles and many more.

Class 9 Maths Chapter 7 Solutions for CBSE Board Class 9 Maths Exercise 7.1 in English Class 9 Maths Exercise 7.2 in English Class 9 Maths Exercise 7.3 in English

Class 9 Maths Chapter 7 Solutions for State Boards Class 9 Maths Chapter 7 Exercise 7.1 Class 9 Maths Chapter 7 Exercise 7.2 Class 9 Maths Chapter 7 Exercise 7.3 Class 9 Maths Chapter 7 Exercise 7.4 Class 9 Maths Chapter 7 Exercise 7.5

Class 9 Maths Chapter 7 in Hindi Medium Class 9 Maths Exercise 7.1 in Hindi Class 9 Maths Exercise 7.2 in Hindi Class 9 Maths Exercise 7.3 in Hindi

In this 9th Maths Book Solution, we have to prove the properties of the triangle which you learn about in previous classes. Apply the various congruence rules while solving the problems. In this chapter, students learn about eight theorems. There are three exercises which cover in this NCERT Solutions for Class 9 Maths Chapter 7 Triangles. Get Chapter Triangles Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 7 Triangles Main Points to Study 1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). 2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). 3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence). 4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence) 5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal.

NCERT Solutions for Class 9 Maths Chapter 8 – Quadrilaterals

Find NCERT Solutions for Class 9 Maths Chapter 8 , which covers the topic Quadrilaterals. The joining four points in order is called a quadrilateral.

Class 9 Maths Chapter 8 for CBSE and State Boards Class 9 Maths Exercise 8.1 in English Class 9 Maths Exercise 8.2 in English

Class 9 Maths Chapter 8 in Hindi Medium Class 9 Maths Exercise 8.1 in Hindi Class 9 Maths Exercise 8.2 in Hindi

Class 9 Maths chapter 8 contains two exercises that contain only one theorem to prove. These Solutions include Angle sum property of a Quadrilateral, properties of a parallelogram, and types of quadrilaterals etc. Download here Chapter Quadrilaterals Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 8 Quadrilaterals Focus Points 1. (Prove) The diagonal divides a parallelogram into two congruent triangles. 2. (Motivate) In a parallelogram opposite sides are equal, and conversely. 3. (Motivate) In a parallelogram opposite angles are equal, and conversely. 4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. 5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely. 6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

NCERT Solutions for Class 9 Maths Chapter 9 – Circles

Here get well explained NCERT Solutions for Class 9 Maths Chapter Circles with free of cost and no need to login and register to get solutions for all exercises. In this NCERT Solutions for Class 9 Maths Chapter 9 Circle, learn that circle is a collection of all the points in a plane at a fixed distance.

Class 9 Maths Chapter 9 for CBSE Board Class 9 Maths Exercise 9.1 in English Class 9 Maths Exercise 9.2 in English Class 9 Maths Exercise 9.3 in English

Class 9 Maths Chapter 9 Solutions for State Boards Class 9 Maths Chapter 9 Exercise 9.1 Class 9 Maths Chapter 9 Exercise 9.2 Class 9 Maths Chapter 9 Exercise 9.3 Class 9 Maths Chapter 9 Exercise 9.4

Class 9 Maths Chapter 9 in Hindi Medium Class 9 Maths Exercise 9.1 in Hindi Class 9 Maths Exercise 9.2 in Hindi Class 9 Maths Exercise 9.3 in Hindi

Get knowledge about circle including a Chord at a Point, Equal Chords. There are a total of twelve theorems present in this chapter. Download  NCERT Solutions for Class 9 Maths PDF without any cost and registration. Get Chapter 9 Circles Class 10 Maths Solutions in Hindi medium and English medium here.

Class 9 Maths Chapter 9 Circles Curriculum for 2024-25 1.(Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse. 2.(Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord. 3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely. 4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. 5. (Motivate) Angles in the same segment of a circle are equal. 6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle. 7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

NCERT Solutions for Class 9 Maths Chapter 10 – Heron’s Formula

Students get NCERT Solutions for Class 9 Maths Chapter 10 , which covers Heron’s formula which is used to calculate the area of a triangle with all three sides length is given. By the help of Heron’s Formula, find out distances in the triangle without calculating.

Class 9 Maths Chapter 10 for CBSE Board Class 9 Maths Exercise 10.1 in English

Class 9 Maths Chapter 10 for State Boards Class 9 Maths Chapter 10 Exercise 10.1 Class 9 Maths Chapter 10 Exercise 10.2 Class 9 Maths Chapter 10 Exercise 10.3 Class 9 Maths Chapter 10 Exercise 10.4 Class 9 Maths Chapter 10 Exercise 10.5 Class 9 Maths Chapter 10 Exercise 10.6

Class 9 Maths Chapter 10 in Hindi Medium Class 9 Maths Exercise 10.1 in Hindi

This formula is used to find out the areas of quadrilaterals, the area of triangles and other polygons. There is only one exercise in this NCERT Solutions for Class 9 Maths Chapter 10 Heron’s Formula. Download NCERT Solutions for Class 9 Maths Chapter 12 PDF and learn anytime in desktop or mobile while offline.

Class 9 Maths Chapter 10 Heron’s Formula Main Points To Study Area of a triangle using Heron’s formula (without proof)

NCERT Solutions for Class 9 Maths Chapter 11 – Surface Areas and Volumes

NCERT Solutions for Class 9 Maths Chapter 11 , learn to find the surface areas and volumes of cuboids and cylinders in details. In this NCERT Solutions for Class 9 Maths Chapter 11 Surface Areas and Volumes, learn the surface areas of some other solids such as cones and spheres.

Class 9 Maths Chapter 11 for CBSE Board Class 9 Maths Exercise 11.1 in English Class 9 Maths Exercise 11.2 in English Class 9 Maths Exercise 11.3 in English Class 9 Maths Exercise 11.4 in English

Class 9 Maths Chapter 11 Solutions for State Boards Class 9 Maths Chapter 11 Exercise 11.1 Class 9 Maths Chapter 11 Exercise 11.2

Class 9 Maths Chapter 11 in Hindi Medium Class 9 Maths Exercise 11.1 in Hindi Class 9 Maths Exercise 11.2 in Hindi Class 9 Maths Exercise 11.3 in Hindi Class 9 Maths Exercise 11.4 in Hindi

Here students get detailed knowledge about the surface areas and volumes in earlier classes. There are four exercises in chapter 11 that covers surface areas and volumes of different solids such as cubes, cuboids, hemispheres, spheres, cylinders, cones etc. Download NCERT Solutions for Class 9 Maths PDF here without paying any cost and required no login detail. Get Chapter Surface Areas and Volumes  Class 9 Maths Solutions in Hindi medium and English medium.

The Points to be covered in Class 9 Maths Chapter 11 Surface Areas and Volumes Surface areas and volumes of spheres (including hemispheres) and right circular cones.

NCERT Solutions for Class 9 Maths Chapter 12 – Statistics

These best easy NCERT Solutions for Class 9 Maths Chapter 12 , deals with Statistics which the extraction of meaningful information is studied is known as Statistics.

Class 9 Maths Chapter 12 for CBSE Board Class 9 Maths Exercise 12.1 in English

Class 9 Maths Chapter 12 Solutions for State Boards Class 9 Maths Chapter 12 Exercise 12.1 Class 9 Maths Chapter 12 Exercise 12.2

Class 9 Maths Chapter 12 in Hindi Medium Class 9 Maths Exercise 12.1 in Hindi

Statistics is used in our daily life such as aspects of the life of people, useful to the State etc. These NCERT Solutions for Class 9 Maths Chapter 12 Statistics teaches the different presentation of the data, including the frequency distribution too. Presentation data in tubular and row form and grouping them in a regular interval. Here learn to Mean, Mode and median as well. Get Chapter Statistics Class 9 Maths Solutions in Hindi medium and English medium.

Class 9 Maths Chapter 12 Statistics Main Points Bar graphs, histograms (with varying base lengths), and frequency polygons.

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

Tiwari Academy NCERT solutions on Surface Areas and Volumes based on state board syllabus, Hindi and English medium, 2024-25 session. Achieve mastery in geometry with Tiwari Academy’s expert NCERT Solutions for Class 9 Maths Exercise 13.8, tailored for students in the 2024-2025 session, available in both Hindi and English. Class 9 Maths Chapter 13 for State Boards Class 9 Maths Chapter 13 Exercise 13.1 Class 9 Maths Chapter 13 Exercise 13.2 Class 9 Maths Chapter 13 Exercise 13.3 Class 9 Maths Chapter 13 Exercise 13.4 Class 9 Maths Chapter 13 Exercise 13.5 Class 9 Maths Chapter 13 Exercise 13.6 Class 9 Maths Chapter 13 Exercise 13.7 Class 9 Maths Chapter 13 Exercise 13.8 Class 9 Maths Chapter 13 Exercise 13.9

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

Access Class 9 Maths Chapter 14 Statistics solutions in Hindi and English. Perfect for CBSE students, our resources at Tiwari Academy are comprehensive and user-friendly. Class 9 Maths Chapter 1 Solution for State Boards Class 9 Maths Chapter 14 Exercise 14.1 Class 9 Maths Chapter 14 Exercise 14.2 Class 9 Maths Chapter 14 Exercise 14.3 Class 9 Maths Chapter 14 Exercise 14.4

NCERT Solutions for Class 9 Maths Chapter 15 Probability

Master Class 9 Maths with Chapter 15 Probability solutions, available in English and Hindi. Excel in CBSE exams with Tiwari Academy’s expert resources. Clear, concise, and free – your key to understanding Probability concepts. Class 9 Maths Chapter 15 Solutions for State boards Class 9 Maths Chapter 15 Exercise 15.1

Importance of NCERT Solutions for Class 9 Maths

NCERT stands for National Council of Educational Research and Training. NCERT was formed to provide standardised textbooks along with research and training in the field of education system of India. NCERT Solutions for Class 9 Maths is very helpful will provide you with a detailed and in-depth understanding of all the questions and concepts of NCERT Textbooks. Excluding that there are so many other benefits of NCERT Solutions for Class 9 Maths.

Explain Each And Every Concept in Detail NCERT Solutions for Class 9 Maths explain each and every concept in detail and in easy language. It helps you and so important for better understanding and scoring good marks in 9 class exams.

Most Accurate Solutions All the NCERT Solutions for Class 9 Maths for all chapters are provided by the many years experienced teachers. All solutions are well-reviewed before provided. Students who have misguided by the wrong study materials before can study with these most accurate NCERT Solutions for Class 9 Maths.

Student can learn Offline NCERT Solutions for Class 9 Maths for all chapters PDFS are available, so learn these subjects offline also by just downloading these PDFs. You can study anywhere and anytime.

Clear all Doubts Class 9 Students who have confusion with many topics in class 9 Maths, they can learn with these NCERT Solutions for Class 9 Maths for all chapters. These solutions are given in easy method, and it clear your all doubts and concepts clear.

Created the Best Subject Experts in Field Class 9 Maths solution provided by an expert math teacher who has been created by the high-quality subject matter experts. So get more marks with these high-quality study materials. All solutions are designed by following extensive research on the Math subject. Be able to solve a wide range of problems at any difficulty level.

How are CBSE 9 Maths Solutions of NCERT Helpful for Final Exams?

CBSE 9 Maths Solutions of NCERT is sufficient to score more in 9th boards exams. With NCERT Solutions for Class 9 Maths , students will get complete guidance on every topics and sub-topics related to the respective chapter.

It is an effective and the best way to make students understand the subject and exclusively to perform well in the final exams. CBSE 9 Maths Solutions of NCERT are very helpful to get full marks in the final exam, but Just make sure you cover all the exercise and learn the theorems of the whole syllabus. Also, do not skip any topic of CBSE 9th Maths syllabus .

A panel of experts from Tiwari Academy held a workshop of two days and thoroughly discussed the content quality and made some suggestions . Amendments were carried out in the English as well as Hindi draft accordingly.

The final draft was thus prepared. The solutions are prepared according to new syllabus for 2024-25 having classical approach of constructions and geometrical chapters. Get here UP Board Secondary Education (High School) Solution, Sample Papers, Notes and other study material.

How to practice Class 9 Maths using NCERT Solutions?

According to new NCERT Textbooks published for academic session 2024-25, the syllabus for class 9 Maths is reduced significantly. That is why, the NCERT Solutions for class 9 Maths is also modified and revised as per new session. NCERT Solutions play a significant role in helping students score well in their Class 9 CBSE (Central Board of Secondary Education) Mathematics exams. Follow the steps given here to know how you can score well in exams using class 9 Maths solutions.

Step 1: Use NCERT Solutions for Comprehensive Coverage of class 9 Maths textbook.

Step 2: verify your answers and learn about the exam pattern., step 3: revise the syllabus and use class 9 maths ncert solution as a revision aid., step 4: make effective self study in 9th maths using ncert solutions., step 5: confined to new rationalised ncert textbooks and solve it using ncert solutions..

How many chapters are there in NCERT Class 9 Maths?

According to new syllabus, there are a total of 12 chapters present in the NCERT Class 9 Maths. 

• Chapter 1- Number System,
• Chapter 2- Polynomials, 
• Chapter 3- Coordinate Geometry, 
• Chapter 4- Linear Equations in Two Variables, 
• Chapter 5- Introduction to Euclid’s Geometry, 
• Chapter 6- Lines and Angles, 
• Chapter 7- Triangles, 
• Chapter 8- Quadrilaterals, 
• Chapter 9- Circles, 
• Chapter 10- Heron’s Formula, 
• Chapter 11- Surface Areas and Volumes, 
• Chapter 12- Statistics, 

These are the chapters in Class 9 of NCERT Maths. And you need to cover all the chapters to get full marks in your final exam.

How can I get more than 80% marks in Class 9 Maths Exams?

Most of the chapters in Class 9 Maths are easy to understand. If we try to learn by doing, the mathematics become simple and interesting subject otherwise it would be a burden for us. Get concentrated on your NCERT Textbook 2024-25 and start practicing with understanding to score well with less efforts. How to practice questions: Read the preface of the chapter and see the pattern of each example given before the exercises. Now taking the hints from these solved example, try to solve the questions of exercises by own. Don’t take help from teachers or online website when your are solving the questions. After trying many time if still not getting the correct answers, then consult your respective teacher or visit to Tiwari Academy to take help from PDF Solutions or videos solutions.

Is class 9 maths tough?

In real maths of class, 9th and 10th are both very easy. But practically you can say class 9th maths is tough for you because you introduced some new topics and topics in the advanced level study here. In previous classes like 8th, 7th and 6th, the maths you study is very basic and somehow simple. So your mindset is for that simple maths method with very fewer logics and formulas. Some student class 9 get confusion with the syllabus.

How can I perform best in Terminal exams of Class 9 Maths?

There are so many chapters in class 9 Maths which are easy and interesting to work with. When you are in energetic mood, start doing the chapter which you considered as difficult one but if you are tired and still want to practice mathematics, start with an easier chapter. Studying in this manner make the mathematics interesting and easier.

Sushant Mukherjee

Providing help in science for class 6 to 10. Adviser in Tiwari Academy for the science related subjects subject as well as videos contents. Ample teaching experience in schools. I am not only working for Tiwari Academy but also provide new ideas for the website and apps.

Copyright 2024 by Tiwari Academy | A step towards Free Education

NCERT Solutions For Class 9 Maths – Download in PDF (2021 – 2022)

Download NCERT Solutions For Class 9 Maths in PDF

Chapter 1: number systems.

Representation of terminating/non-terminating recurring decimals on the number line (and successive magnification method). Presentation of square roots of 2, 3 and other non-rational numbers. Rationalization of real numbers, laws of integral powers and rational exponents with positive real bases in Number Systems .

• Study Online (English/Hindi)
• Exercise 1.1
• Exercise 1.2
• Exercise 1.3
• Exercise 1.4
• Exercise 1.5
• Exercise 1.6
• Assignment based on Chapter 1 in English
• NCERT Books for Class 9
• प्रश्नावली 1.1
• प्रश्नावली 1.2
• प्रश्नावली 1.3
• प्रश्नावली 1.4
• प्रश्नावली 1.5
• प्रश्नावली 1.6
• Assignment based on Chapter 1 in Hindi

Chapter 2: Polynomials

Examples and definition of a polynomial, coefficient, degrees, zeroes and terms of a polynomial. Constant, linear, quadratic and cubic polynomials, monomials, binomials, trinomials. Factors and multiples, Remainder and factor theorems, factorization of a polynomials using factor theorem.

• Exercise 2.1
• Exercise 2.2
• Exercise 2.3
• Exercise 2.4
• Exercise 2.5
• Assignment based on Chapter 2 in English
• प्रश्नावली 2.1
• प्रश्नावली 2.2
• प्रश्नावली 2.3
• प्रश्नावली 2.4
• प्रश्नावली 2.5
• Assignment based on Chapter 2 in Hindi

Chapter 3: Coordinate Geometry

In this chapter  Coordinate Geometry we will study the concept of cartesian plane, coordinates of a point in this xy – plane, name, terms, notations and other terms associated with the coordinate plane. Abscissa and ordinate of a points. Plotting a point in xy – plane and naming it.

• Exercise 3.1
• Exercise 3.2
• Exercise 3.3
• Assignment based on Chapter 3 in English
• प्रश्नावली 3.1
• प्रश्नावली 3.2
• प्रश्नावली 3.3
• Assignment based on Chapter 3 in Hindi

Chapter 4: Linear Equations in Two Variables

This chapter provides the introduction to the equation in two variables of the type ax + by + c = 0. Proving a linear equation has infinite number of solutions. Plotting a linear equation on graph and justification of any point on line. Problems based on Linear Equations in Two Variables in daily life.

• Exercise 4.1
• Exercise 4.2
• Exercise 4.3
• Exercise 4.4
• Assignment based on Chapter 4 in English
• NCERT books
• प्रश्नावली 4.1
• प्रश्नावली 4.2
• प्रश्नावली 4.3
• प्रश्नावली 4.4
• Assignment based on Chapter 4 in Hindi

Chapter 5: Introduction to Euclid’s Geometry

Euclid’s geometry and history of Indian geometry. Introduction to Euclid’s Geometry provides a way of defining the common geometrical shapes and terms. Euclid’s five postulates and redefining (equivalent versions) the fifth postulates.  Relationship between axiom, postulates and theorems.

• Exercise 5.1
• Exercise 5.2
• Assignment based on Chapter 5 in English
• प्रश्नावली 5.1
• प्रश्नावली 5.2
• Assignment based on Chapter 5 in Hindi

Chapter 6: Lines and Angles

There are two theorems in Lines and Angles chapter which may be asked for proof. First is “If two lines intersect, vertically opposite angles are equal” and second is “The sum of the angles of a triangle is 180.”. Rest theorems are given for motivations and questions will be asked on the basis of all these theorems (Motivate/Prove).

• Exercise 6.1
• Exercise 6.2
• Exercise 6.3
• Assignment based on Chapter 6 in English
• प्रश्नावली 6.1
• प्रश्नावली 6.2
• प्रश्नावली 6.3
• Assignment based on Chapter 6 in Hindi

Chapter 7: Triangles

In this chapter Triangles , two theorems (“Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence)” and “The angles opposite to equal sides of a triangle are equal.”) are given for proof and the rest will be asked in the form of applications/problems.

• Exercise 7.1
• Exercise 7.2
• Exercise 7.3
• Exercise 7.4
• Exercise 7.5
• Assignment based on Chapter 7 in English
• प्रश्नावली 7.1
• प्रश्नावली 7.2
• प्रश्नावली 7.3
• प्रश्नावली 7.4
• प्रश्नावली 7.5
• Assignment based on Chapter 7 in Hindi

Chapter 8: Quadrilaterals

The chapter Quadrilaterals contains only one theorem( “The diagonal divides a parallelogram into two congruent triangles”) for proof. Other will be asked in the form of application and conceptual questions. Questions are on the basis of properties of quadrilaterals and combinations of it with triangles.

• Exercise 8.1
• Exercise 8.2
• Assignment based on Chapter 8 in English
• प्रश्नावली 8.1
• प्रश्नावली 8.2
• Assignment based on Chapter 8 in Hindi

Chapter 9: Areas of Parallelograms and Triangles

The combinations of areas of parallelograms and triangles are given to prove in most of the question. Proof and questions based on “Parallelograms on the same base and between the same parallels have the same area” will be asked. Example of median may be used as theorem in most of the questions.

• Exercise 9.1
• Exercise 9.2
• Exercise 9.3
• Exercise 9.4
• Assignment based on Chapter 9 in English
• प्रश्नावली 9.1
• प्रश्नावली 9.2
• प्रश्नावली 9.3
• प्रश्नावली 9.4
• Assignment based on Chapter 9 in Hindi

Chapter 10: Circles

“Equal chords of a circle subtend equal angles at the center” and “The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle” are given for proof in Circles . The other theorems are important for solving questions based on triangle, quadrilateral and circles.

• Exercise 10.1
• Exercise 10.2
• Exercise 10.3
• Exercise 10.4
• Exercise 10.5
• Exercise 10.6
• Assignment based on Chapter 10 in English
• प्रश्नावली 10.1
• प्रश्नावली 10.2
• प्रश्नावली 10.3
• प्रश्नावली 10.4
• प्रश्नावली 10.5
• प्रश्नावली 10.6
• Assignment based on Chapter 10 in Hindi

Chapter 11: Constructions

There are two categories of constructions . One is Construction of bisectors of line segments and angles of measure 60, 90, 45 etc. The other is construction of a triangle given its base, sum/difference of the other two sides and one base angle & given perimeter and base angles.

• Exercise 11.1
• Exercise 11.2
• Assignment based on Chapter 11 in English
• प्रश्नावली 11.1
• प्रश्नावली 11.2
• Assignment based on Chapter 11 in Hindi

Chapter 12: Heron’s Formula

Use of Heron’s  formula to find the area of triangles, quadrilaterals (dividing it into two triangles) and other polygons. Knowledge of formulae of plane figures will also help in doing questions.

• Exercise 12.1
• Exercise 12.2
• Assignment based on Chapter 12 in English
• प्रश्नावली 12.1
• प्रश्नावली 12.2
• Assignment based on Chapter 12 in Hindi

Chapter 13: Surface Areas and Volumes

Students are familiar with surface areas and volumes as they have already studies mensuration in earlier classes. This chapter also contains problems based on surface areas and volumes of cube, cuboids, cylinders, cones, spheres and hemispheres. Conversion of one figure into the other comparing volumes is also given as an application of mensuration.

• English Medium
• Hindi Medium
• Assignment based on Chapter 13 in English
• Assignment based on Chapter 13 in Hindi

Chapter 14: Statistics

Introduction to statistics includes the presentation of data collected in raw form. Presentation of  data in tabular form by grouping them in proper intervals, drawing a bar graph, histogram or polygon. Finding the measure of central tendency mean, mode and median of raw data.

• Assignment based on Chapter 14 in English
• Assignment based on Chapter 14 in Hindi

Chapter 15: Probability

Probability based on observation or frequency approach. Questions based on real life or day to day incidents. Toss of a coin, throwing a dice, based on deck of cards, etc. questions based on simple events.

• Exercise 15.1
• प्रश्नावली 15.1
• Assignment based on Chapter 15 in English
• Assignment based on Chapter 15 in Hindi

Related Pages:

• Solutions For 9th Science
• Solutions For 9th Social Science
• Solutions For 9th Hindi
• Solutions For 9th English
• CBSE Syllabus 2021 – 2022
• NCERT Solutions for Class 6
• NCERT Solutions for Class 7
• NCERT Solutions For Class 8
• NCERT Solutions for Class 9
• NCERT Solution for Class 10
• NCERT Solutions for Class 11
• NCERT Solutions for Class 12

Class 10 Maths Solutions Chapter 1 Class 10 Maths Solutions Chapter 2 Class 10 Maths Solutions Chapter 3 Class 10 Maths Solutions Chapter 4 Class 10 Maths Solutions Chapter 5

Class 10 Maths Solutions Chapter 6 Class 10 Maths Solutions Chapter 7 Class 10 Maths Solutions Chapter 8 Class 10 Maths Solutions Chapter 9 Class 10 Maths Solutions Chapter 10

Class 10 Maths Solutions Chapter 11 Class 10 Maths Solutions Chapter 12 Class 10 Maths Solutions Chapter 13 Class 10 Maths Solutions Chapter 14 Class 10 Maths Solutions Chapter 15

Class 9 Maths Solutions Chapter 1 Class 9 Maths Solutions Chapter 2 Class 9 Maths Solutions Chapter 3 Class 9 Maths Solutions Chapter 4 Class 9 Maths Solutions Chapter 5

Class 9 Maths Solutions Chapter 6 Class 9 Maths Solutions Chapter 7 Class 9 Maths Solutions Chapter 8 Class 9 Maths Solutions Chapter 9 Class 9 Maths Solutions Chapter 10

Class 9 Maths Solutions Chapter 11 Class 9 Maths Solutions Chapter 12 Class 9 Maths Solutions Chapter 13 Class 9 Maths Solutions Chapter 14 Class 9 Maths Solutions Chapter 15

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems are provided here. Our NCERT Maths solutions contain all the questions of the NCERT textbook that are solved and explained beautifully. Here you will get complete NCERT Solutions for Class 9 Maths Chapter 1 all exercises Exercise in one place. These solutions are prepared by the subject experts and as per the latest NCERT syllabus and guidelines. CBSE Class 9 Students who wish to score good marks in the maths exam must practice these questions regularly.

Class 9 Maths Chapter 1 Number Systems NCERT Solutions

Below we have provided the solutions of each exercise of the chapter. Go through the links to access the solutions of exercises you want. You should also check out our NCERT Class 9 Solutions for other subjects to score good marks in the exams.

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.3

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.4

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.5

NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.6

NCERT Solutions for Class 9 Maths Chapter 1 – Topic Discussion

Below we have listed the topics that have been discussed in this chapter. As Number System is one of the important topics in Maths, it has a weightage of 6 marks in class 9 Maths exams. 

• Introduction of Number Systems
• Irrational Numbers
• Real Numbers and Their Decimal Expansions
• Representing Real Numbers on the Number Line.
• Operations on Real Numbers
• Laws of Exponents for Real Numbers

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Kalvi Imayam

• Recent Posts
• TN Text Books
• Kalvi Seithi
• Samacheer Kalvi Guide
• Online Test - MCQs

9th Maths Assignment Answers TN SCERT

Dear Teachers Send Your Study Materials, Question Papers & Answers to  [email protected]   Join Our Whatsapp Group 8778711260

9th Maths Assignment Answers 2021

TN SCERT Full Answer Key 

9th Maths Assignment Answers. 9th Standard TN SCERT Assignment Answers, 9th Maths Unit 1 TN SCERT Answer key 2021. 9th Standard All Subject TN SCERT Assignment Unit 1 Answers. TN SCERT Announced  1st to 12th All Subject Assignment Worksheets for Unit 1. Students Can Note that 9th Mathematics Unit 1 TNSCERT Assignment.  9th Tamil Assignment Answers, 9th Tamil Assignment Answers download PDF. 9th Maths Assignment Answers Unit 1 TNSCER Tamil Medium and English Medium.  

Click Here to Download KALVI IMAYAM POCKET GUIDE Mobile Application

9th assignment answers tn scert, 9th tamil assignment answers tn scert 9th maths assignment answers tn scert  9th social science history assignment answers tn scert 9th social science | economice assignment answers tn scert 9th social science | civics assignment answers tn scert.

9th Standard Maths Unit 1 TN SCERT Assignment Answer key.

• Download 9th TN SCERT Assignment PDF

10th Assignment Answers TN SCERT

• 10th Tamil Assignment Answers TN SCERT
• 10th Maths Assignment Answers TN SCERT
• 10th Science Assignment Answers TN SCERT
• 10th Social Science Assignment Answers TN SCERT

9th Tamil TN SCERT Unit 1 Answers

• Subject: MATHEMATICS
• Unit 1 - Set Theory

You may like these posts

Post a comment.

Please send short answers faster please and details

வாசகர்களின் கருத்துக்களை அன்புடன் வரவேற்கின்றோம்.

Social Plugin

Popular posts.

Ennum Ezhuthum Term 1 Lesson Plan 2024 - 2025

SMC மறுகட்டமைப்பு - தேவையான அனைத்தும் ஒரே Link ல் PDF , Word , Exel, PSD, Picture & Video File

பள்ளி காலை வழிபாட்டு செயல்பாடுகள் - 16.08.2024

Class 1 to 12 Kalai Thiruvizha Schedule & Instructions : கலைத் திருவிழா ( 2024 - 2025 ) போட்டிக்கான கால அட்டவணை & வழிகாட்டு நெறிமுறைகள் வெளியீடு

11th Chemistry Focus Guide

Most recent.

• 10th 12th Revised Revision Test Time Table 8
• 10th 11th 12th Public Exam 2024 2
• 10th 11th 12th Public Exam Time Table 2023 11
• 10th 11th 12th Public Examination Time Table 2023 - 2024 1
• 10th 11th 12th Public Practical Exam 16
• 10th 11th 12th Revision Test question Paper 2024 5
• 10th 12th Public Exam Result Date 1
• 10th 1st Mid Term Question Paper 11
• 10th 1st mid term syllabus 5
• 10th 1st Revision Question 2024 6
• 10th 2nd mid term question paper 22
• 10th 2nd Revision 2023 Question Paper 7
• 10th 2nd Revision Question Paper and Answer Key 10
• 10th 2nd Revision Test Syllabus 2022 3
• 10th 3rd Revision Question and Answers 2022 1
• 10th 3rd Revision Question and Answers 2023 6
• 10th 3rd Revision Question Paper 6
• 10th 3rd Revision Time Table 2
• 10th All Subject Full Guide 2021-2022 6
• 10th All Subject Guide 1
• 10th All Subject Monthly Syllabus 1
• 10th Basic Quiz 3
• 10th Deleted Portion 2021-2022 1
• 10th English Full Guide 1
• 10th English Monthly Question Paper 1
• 10th English Quarterly Question Paper 2023 1
• 10th English Study Materials 2022 1
• 10th English Video Class 1
• 10th Half Yearly Exam Q&A 11
• 10th Half Yearly Important Questions 12
• 10th Half Yearly Questions 2023 7
• 10th Important Study Materials 5
• 10th Kalvi TV Video Class 3
• 10TH MATHS 5
• 10TH MATHS CREATIVE QUESTIONS 1
• 10th Maths Full Guide 2
• 10th Maths Important Questions 9
• 10th Maths Kalvi TV Video Class 1
• 10th Maths Materials 8
• 10th Maths Public Exam Important Questions 1
• 10th Maths Public Important Questions 1
• 10th Maths Quarterly Syllabus 2022 1
• 10th Maths Quarterly Syllabus 2023 2
• 10th Maths Slow learners Study Materials 2023 1
• 10th Maths study materials 1
• 10th Maths Unit test Question Paper 1
• 10th Practical Exam 2022 1
• 10th Practical Exam 2023 1
• 10TH PTA QUESTION AND ANSWER 1
• 10th public Exam 2023 4
• 10th Public Exam Question Paper & Answer Key 2023 2
• 10th Public Exam Question Paper & Answer Key 2024 1
• 10th Public Exam Question Paper & Answer Key 2023 10
• 10th Public Exam Question paper and answer key 2020 4
• 10th Public Exam Question paper and answer key 2022 2
• 10th Public Exam Time Table 2023 3
• 10th Public Examination Time Table 2023 - 2024 1
• 10th Public Model Question Paper 2022 3
• 10th Public Model Question Paper 2023 9
• 10th Quarterly Exam Model Question Paper 3
• 10th Quarterly Exam Question Paper 16
• 10th Quarterly Exam Question Papers 2024 1
• 10th Quarterly Exam Syllabus 2
• 10th Question Bank 5
• 10th Refreshment Module Test 2021 1
• 10th results 15
• 10th Revision Exam Time Table 2023 5
• 10th Revision Test Question paper and answer key 2021 11
• 10th Revision Test Question paper and answer key 2022 1
• 10th Revision Test Question paper and answer key 2023 7
• 10th Science Full Guide 1
• 10th Science Important Study Materials 5
• 10th Science Practical Guide 1
• 10th Science Public Exam Answer Key 1
• 10th Science Quarterly Question Paper 2023 1
• 10th Slow Learners Material 7
• 10th Social Science Full Guide 2
• 10th Social Science Important Questions 2
• 10TH SOCIAL SCIENCE PTA QUESTION AND ANSWER 1
• 10th Social Science Quarterly Question Paper 2023 2
• 10th Special 1
• 10th Standard All Important Study Materials 6
• 10th std 85
• 10th STD English Study Material 1
• 10th STD Tamil Study Material 1
• 10th Supplementary Exam Time Table 1
• 10th Tamil Free Online Test Unit 1 to 9 1
• 10th Tamil Full Guide 5
• 10th Tamil GENERAL ESSAYS AND LETTER WRITTING 1
• 10th Tamil Important 1 Marks 1
• 10th Tamil Important Questions 2
• 10TH TAMIL IMPORTANT STUDY MATERIALS 3
• 10th Tamil Monthly Question Paper 1
• 10th Tamil Padivam Niraputhal 1
• 10TH TAMIL POEMS 1
• 10th Tamil Public Exam Answer Key 1
• 10th Tamil Quarterly Question Paper 2023 2
• 10th tamil unit test question and answers 6
• 10th Tamil Video Class 1
• 10th unit test question papers 21
• 10th unit test syllabus 1
• 10th Unit Test Time Table 2
• 10ஆம் வகுப்பு தமிழ் புத்தகத்தில் கருணாநிதி பாடம் 1
• 10ம் வகுப்பு தமிழ் மனப்பாடப் பகுதி 4
• 11th 1st Mid Term Question Paper 21
• 11th 1st Revision Question 13
• 11th 2nd Mid Term Question paper answer key 2
• 11th 2nd Revision Question paper answer key 4
• 11th all subject guide 1
• 11th Biology Important Questions 1
• 11th Economics Public Exam Question Paper and Answer Key 2023 1
• 11TH ECONOMICS IMPORTANT STUDY MATERIALS 1
• 11th English free online test 1
• 11th English Kalvi TV Live Video Class 1
• 11th English Public Exam Question Paper and Answer Key 2023 1
• 11th free online test 14
• 11th Half Yearly Exam 2022 14
• 11th Half Yearly Question Paper answer key 24
• 11th Half Yearly Questions 2023 15
• 11th Important Questions 1
• 11th important Study Material 4
• 11th Kalvi TV Live Video Class 6
• 11th Maths Free Online Test 1
• 11th Maths Kalvi TV Live Video Class 1
• 11th physics Free online test 11
• 11th Physics Golden Questions 2
• 11th Physics Important 2 Mark Questions 1
• 11th Physics Kalvi TV Live Video Class 1
• 11th Physics Public Exam Model Question 2
• 11th Physics Public Exam Question Paper and Answer Key 2023 1
• 11th Practical Exam Model Question Paper 2
• 11th public exam important Questions 1
• 11th Public Exam Question paper and answer key 2020 1
• 11th Public Exam Question paper and answer key 2022 1
• 11th Public Exam Question paper and answer key 2023 24
• 11th Public Exam Result 1
• 11th public exam time table 2
• 11th Public Examination Time Table 2023 - 2024 1
• 11th Public Model Question Paper 2023 25
• 11th Public Question Paepr 2024 14
• 11th Quarterly Exam Question Paper 12
• 11th Quarterly Exam Question Papers 2024 1
• 11th Quarterly Exam Time Table 2023 13
• 11th reduced syllabus 2020-21 16
• 11th result 4
• 11th Revision Test Question paper and answer key 2021 14
• 11th Revision Test Question paper and answer key 2022 1
• 11th Revision Test Question paper and answer key 2023 2
• 11th Revision Test Question paper and answer key 2024 14
• 11th Revision Test Time Table 2022 1
• 11th std 30
• 11th STD All Important Study Materials 1
• 11th Supplementary Exam 1
• 11th tamil free online test 3
• 11th Tamil Public Exam Important Questions 2023 1
• 11th Tamil Public Exam Question Paper and Answer Key 2023 1
• 11th Tamil Refresher Course Answer Key 10
• 11th Tamil Talent Exam 2
• 11th unit test question paper 2
• 12h Chemistry Equations & Formula 1
• 12th 1st Mid Term Question Paper 19
• 12th 1st Mid Term Question Paper 2022 3
• 12th 1st Revision Question Paper 16
• 12th 2nd Mid Term Question Paper and Answer Key 23
• 12th Accountancy 1st Mid Term Question Paper 1
• 12th Accountancy Public Important Questions 2023 1
• 12th Accountancy Study Material 1
• 12th all subject guide 3
• 12th Bio Botany Guide Tamil Medium 4
• 12th biology free online test 10
• 12th Biology Important Study Materials 1
• 12th botany guide 1
• 12th Chemistry 1st Mid Term Question Paper 1
• 12th Chemistry Free Online Test 1
• 12th Chemistry Important Questions 3
• 12th Chemistry Public Important Questions 1
• 12th Chemistry Unit Wise Public Questions 1
• 12th Chemistry Volume 1 and 2 MCQs 1
• 12th Commerce Important Questions 5
• 12th Commerce Refresher Course Answer Key 18
• 12th Commercs 1st Mid Term Question Paper 1
• 12th Computer Science 1st Mid Term Question Paper 1
• 12th Computer Science Free Online Test 1
• 12th Cut off Mark Calculator 1
• 12th Economics Refresher Course Answer Key 2
• 12th Economics Revision Test Syllabus 2022 1
• 12th English Model Question Paper 1
• 12th English 1st Mid Term Question Paper 1
• 12th English Free Online Test 7
• 12th English Mock Test 1
• 12th English Refresher Course Answer Key 12
• 12th Free Online Test 30
• 12th Government official Answer key 2020 1
• 12th Half Yearly Questions 2022 14
• 12th Half Yearly Questions 2023 13
• 12th Important Questions 5
• 12th Important Questions 2021-22 3
• 12th Maths 1st Mid Term Question Paper 2
• 12th Maths Free Online Test 13
• 12th Maths Model Question Paper 2022 3
• 12th Maths Unit Test Question Paper 1
• 12th Maths Unit Test Question Paper 2021 3
• 12th model question paper 2
• 12TH PHYSICS 7
• 12th Physics Free Online Test 5
• 12th Physics 1st Mid Term Question Paper 1
• 12th Physics Golden Questions 1
• 12TH PHYSICS IMPORTANT QUESTIONS 7
• 12th Physics Numerical Problems 2
• 12TH PHYSICS VOLUME 1 IMPORTANT QUESTIONS 1
• 12th Practical Exam Model Question Paper 2
• 12th Public Exam Bonus Marks 1
• 12th Public Exam Date 1
• 12th Public Exam Government Official Answer key 2022 9
• 12th Public Exam Government Official Answer key 2023 23
• 12th Public Exam Hall Ticket 2
• 12th public exam important questions 5
• 12th Public Exam Question Paper & Answer Key 2023 15
• 12th Public Exam Question Paper 2024 15
• 12th Public Exam Question paper and answer key 2020 1
• 12th Public Exam Question paper and answer key 2022 18
• 12th public exam time table 2
• 12th Public Examination Time Table 2023 - 2024 1
• 12th Public Model Question Paper 26
• 12th Public Question Paper 1
• 12th Quarterly Exam Question Papers 2024 11
• 12th Quarterly Exam Time Table 2023 1
• 12th Quarterly Question Paper 2022 19
• 12th Quarterly Question Paper 2023 11
• 12th Refresher Course Answer Key 27
• 12th Result Date 4
• 12th results 10
• 12th Revision Exam Time Table 2
• 12th Revision Test Important Questions 2022 10
• 12th Revision Test Model Question Paper 17
• 12th Revision Test Question paper and answer key 20
• 12th Revision Test Question paper and answer key 2021 13
• 12th Revision Test Question paper and answer key 2023 20
• 12th Revision Test Syllabus 2021-22 (JANUARY AND FEBRUARY) 10
• 12th Standard All Important Study Materials 1
• 12th std 53
• 12th Study Materials 2
• 12th Supplementary Exam Date 2023 1
• 12th Syllabus 3
• 12th Tamil 1 Marks 1
• 12th Tamil 1st Mid Term Question Paper 1
• 12th tamil book back answers 3
• 12th Tamil Free Online Test 2
• 12th Tamil Guide 3
• 12th Tamil Refresher Course online Test 3
• 12th unit test question papers 8
• 12th Unit Test Time Table 2
• 1st Mid Term Exam Time Table and Syllabus 2024 1
• 1st Mid Term Question Paper 44
• 1st Refresher Course 1
• 1st Revision Exam Time Table 1
• 1st std to 5th Summative Assessment 2
• 1st to 12th Refresher Course Module Books 11
• 1st to 5th 1st Term Revised Time Table 2023 1
• 1st to 8th Refresher Course 9
• 1st to 8th Term 1 SA Exam Time Table 2023 1
• 2nd mid term syllabus 4
• 2nd Mid Term Time Table 4
• 2nd Refresher Course 1
• 2nd Standard All Important Study Materials 1
• 3rd All Subject Guide 1
• 3rd mid term exam 10
• 3rd Mid Term Exam Time Table 1
• 3rd Refresher Course 1
• 3rd Standard All Important Study Materials 1
• 3rd Tamil worksheet Answers 2
• 4th 5th Ennum Ezhuthum November Month Lesson Plan 5
• 4th 5th Notes of Lesson 12
• 4th 5th Term 2 Time Table 1
• 4th All Subject Guide 1
• 4th and 5th Term 1 Question Paper 2023 9
• 4th Refresher Course 1
• 4th Standard All Important Study Materials 1
• 4th Standard New Text Books 2021-2022 1
• 4th Summative Assessment 1
• 4th Term 1 Question Paper 2023 6
• 4th Term 2 Question Paper 12
• 4th Term 2 Syllabus 1
• 4th Term 3 Question Paper 3
• 4th Term 3 Syllabus 1
• 5th 2nd mid term question paper 10
• 5th all subject Guide 1
• 5th Annual Exam Question paper 5
• 5th BASELINE ASSESSMENT SURVEY 1
• 5th Ennum Ezhuthum Work Book Answer Key 2
• 5th Refresher Course 1
• 5th Standard All Important Study Materials 1
• 5th Students English Composition 1
• 5th Students Tamil Composition 2
• 5th Term 2 Question Paper 7
• 5th Term 2 Syllabus 1
• 5th Term 3 Question Paper 3
• 5th Term 3 Syllabus 1
• 6th - 12th Half Yearly Question Paper 2023 1
• 6th - 9th 3rd Mid Term TimeTable 2
• 6th - 9th Annual Exam Time Table 1
• 6th 1st Mid Term Question Paper 10
• 6th 2nd mid term question paper 11
• 6th all subject Guide 1
• 6th annual Exam 2023 13
• 6th annual Exam 2024 1
• 6th Half Yearly Questions 2022 5
• 6th Half Yearly Questions 2023 7
• 6th Lesson Plan 1
• 6th Quarterly Exam Question Paper 6
• 6th Quarterly Exam Question Papers 2024 1
• 6th Reduced syllabus 6
• 6th Refresher Course Answer key 1
• 6th Refresher Course Module Books 2021-2022 2
• 6th SEAS Model Question Paper 2
• 6th Standard All Important Study Materials 1
• 6th Term 1 Question Paper 5
• 6th Third Midterm Question and answers 7
• 6th Time Table 2023 1
• 6th to 10th 1th Mid Term Time Table 2
• 6th to 10th Monthwise Syllabus 2022-23 1
• 6th to 10th Science Book back Question Bank with Answers 1
• 6th to 10th Syllabus 3
• 6th to 12th 1st Mid Term Question Paper 1
• 6th to 12th 2nd Mid Term Time Table 1
• 6th to 12th All Exam Time Table 3
• 6th to 12th Common Quarterly Exam Time Table 2023 3
• 6th to 12th HALF YEARLY EXAM TIME TABLE 2022 5
• 6th to 12th HALF YEARLY EXAM TIME TABLE 2023 6
• 6th to 12th Monthly Syllabus 10
• 6th to 8th 1
• 6th to 8th 1st Term Exam Question Papers 1
• 6th to 8th Term I Syllabus 1
• 6th to 9th 3rd Mid Term Syllabus 2023 4
• 6th to 9th Annual Exam Time Table 2022 1
• 6th to 9th Annual Exam Time Table 2024 2
• 6th-8th Assessment Exam Question Paper and Answer key 1
• 7th 1st Mid Term Question 1
• 7th 1st Mid Term Question Paper 11
• 7th 2nd mid term question paper 7
• 7th All Subject Guide 1
• 7th Annual Exam Question Paper 14
• 7th English Quarterly Question Paper 1
• 7th Half Yearly Questions 2022 4
• 7th Half Yearly Questions 2023 7
• 7th Lesson Plan 1
• 7th Maths Quarterly Exam Question Paper and Answer Key 1
• 7th Monthly Syllabus 3
• 7th Quarterly Exam Question Paper 12
• 7th Quarterly Exam Question Papers 2024 1
• 7th Reduced syllabus 5
• 7th Refresher Course Answer key 17
• 7th Refresher Course Module Books 2021-2022 3
• 7th Science Quarterly Exam Question Paper 1
• 7th Social Science Quarterly Exam Question Paper and Answer Key 1
• 7th Standard All Important Study Materials 1
• 7th Tamil Quarterly Question Paper 1
• 7th Term 2 Questions 1
• 7th Term 3 Questions 6
• 7th Third Midterm Question Paper 6
• 7th Third Midterm Question Paper 2023 1
• 7th Time Table 2023 1
• 8th 1st Mid Term Question Paper 11
• 8th 2nd mid term question paper 7
• 8th annual exam question papers 2022 1
• 8th annual exam question papers 2023 12
• 8th annual exam question papers 2024 1
• 8th English Quarterly Exam Question Paper 2023 1
• 8th Half Yearly Questions 2023 7
• 8th Maths Quarterly Exam Question Paper 1
• 8th Monthly Syllabus 5
• 8th Quarterly Exam Question Paper 12
• 8th Quarterly Exam Question Papers 2024 1
• 8th Reduced syllabus 7
• 8th Refresher Course Answer key 17
• 8th Refresher Course Module Books 2021-2022 1
• 8th Science Quarterly Exam Question Paper 1
• 8th Science Refresher Course Answer key 5
• 8th Social Science Quarterly Exam Question Paper 1
• 8th Standard All Important Study Materials 1
• 8th Study Materials 1
• 8th Tamil Basic Quiz Answer key 17
• 8th Tamil Guide 1
• 8th Tamil Quarterly Exam Question Paper and Answer Key 1
• 8th Third Midterm Question Paper 7
• 8th Time Table 2023 1
• 9th 1st Mid Term Question Paper 11
• 9th 2nd mid term question paper 2
• 9th 3rd Mid Term Question Paper 8
• 9th All Subject Guide 1
• 9th Annual Exam Question Paper 2023 9
• 9th Annual Exam Question Papers 13
• 9th English Guide 1
• 9th English Quarterly Question Paper 1
• 9th Half Yearly Question and Answer Key 11
• 9th Half Yearly Questions 2023 7
• 9th Maths Quarterly Question Paper 1
• 9th Monthly Syllabus 5
• 9th Quarterly Exam Question Paper 2022 5
• 9th Quarterly Exam Question Paper 2023 6
• 9th Quarterly Exam Question Papers 2024 1
• 9th Question Papers 8
• 9th Reduced syllabus 1
• 9th results 1
• 9th Science Quarterly Question Paper 1
• 9th Science Refresher Course Answer Key 5
• 9th Science Study Materials 1
• 9th Social Science Quarterly Question Paper 1
• 9th Standard All Important Study Materials 2
• 9th Tamil 1
• 9th Tamil Guide 2
• 9th Tamil Quarterly Question Paper 1
• 9th unit test question paper 1
• A LIVING WITNESS THROUGH THE EYES OF A TREE essay 1
• After 12th என்ன படிக்கலாம் 2
• Age Relaxation GO For TRB 2023 1
• Aided School Surplus Teacher Name List 1
• Annual Exam 2024 3
• Annual Exam Date 2024 3
• Annual Exam Time Table 2023 1
• ANSWER KEY 1
• Answer key 2021 1
• Baseline assessment 1
• Basic Quiz Questions Collection 26
• BE Rank List 1
• Book Back Answers 1
• breaking news 172
• CBSE Public Exam 2024 2
• cbse result 2020 1
• CEO Conduct Detanis 1
• chandrayaan-3 status live 3
• Class 1 to 5 Term 2 Question 1
• Class 1 to 5 Term 2 Time Table 2
• CRC Calendar 1
• CRC feedback - Direct Link 1
• CRC Training 11
• DEO Exam 2023 1
• Diwali Holiday 1
• EC Loyola Guide 2
• EE Report Card 2
• EE TERM 3 ASSESSMENT SCHEDULE 1
• EE Training 1
• Election App - PMS 1
• ENNUM ELUTHUM TEACHERS HANDBOOKS 10
• Ennum Ezhuthum 136
• Ennum Ezhuthum 4th 5th 40
• Ennum Ezhuthum Assessment Schedule 5
• Ennum Ezhuthum August Month Lesson Plan 7
• Ennum Ezhuthum Classroom Corners 1
• Ennum Ezhuthum Lesson Plan 45
• Ennum Ezhuthum Lesson Plan 2024 - 2025 1
• ENNUM EZHUTHUM Monthly Assessment 2
• Ennum Ezhuthum October Month Lesson Plan 7
• Ennum Ezhuthum September Month Lesson Plan 2023 2
• Ennum Ezhuthum Syllabus 1
• Ennum Ezhuthum Teachers Work Book 2
• Ennum Ezhuthum Term 2 Question Paper 2
• Ennum Ezhuthum Term 2 Schedule 1
• Ennum Ezhuthum Term 2 Teachers Hand Book 1
• Ennum Ezhuthum Term 2 Training Schedule 6
• Ennum Ezhuthum Term 3 5
• Ennum Ezhuthum Term 3 Lesson Plan 19
• Ennum Ezhuthum Term 3 Teachers Training Modules 1
• Ennum Ezhuthum THB 4
• Ennum Ezhuthum Training 12
• Ennum Ezhuthum Work Book Answers 12
• Entrance Exam 1
• FA (b) schedule Term 1 1
• February Month lesson plan 1
• First Mid-Term Question Pattern 2
• free online test 81
• Grace mark 1
• Half yearly exam date 2022 2
• Half Yearly Exam Question paper and answer key 2022 1
• Happy Pongal 1
• HI TECH Lab 2
• HI TECH Lab Quiz Assessment 2
• Hi- tec lab 1
• Hi-Tech Lab Assistant Exam 1
• How to Download 11th Results 2023 1
• How to Download TET Certificate 1
• ILLAM THEDI KALVI 4
• Inspire Award 1
• ITK TRAINING 2
• January Month lesson plan 8
• JEE-Advanced Admit Card 1
• Jolly Phonics App 1
• Jul Month Assignment 5
• July Month Assignment 41
• kalai thiruvizha 6
• KALVI IMAYAM 80
• kalvi tv bridge course 25
• Kalvi Tv Live Video Class 15
• kalvi tv records 1
• kalvi tv time table 22
• Kalviimayam WhatsApp Groups Invite Links 1
• KALVISEITHI 216
• Kamarajar 2
• Learning Outcomes 3
• Leave Applications Form 1
• Local Holiday 24
• Manarkeni Learning App 1
• Maths Slow Learns Study Material 1
• MBBS BDS RANK LIST 1
• Model Quarterly Question Paper 8
• Model Question Paper 2020-2021 1
• Monthly Calendar 2022 1
• Morning Breakfast Scheme 1
• Naan virumbum thalaivar kamarajar 2
• NEET 2020 2
• NEET admit card 2
• NEET Exam New Syllabus Published 1
• NEET JEE IMPORTANT STUDY MATERIAL 6
• NEET Q & A 1
• New Reduced Syllabus 2021-2022 4
• New Student Admission Form 2023 - 2024 1
• new text book 1
• NMMS Answer Key 1
• NMMS Exam 9
• NMMS Exam Application Form 1
• NMMS Study Materials 2021 4
• notes of lesson 16
• NTSE Answer key 2022 1
• October Month Kalvi TV Time Table 2021 1
• Paper Valuation Camp Schedule 1
• PGTRB CV List 2022 3
• PGTRB Provisionally Selection List 1
• Pongal gift 2023 1
• Private School Teacher Jobs 2
• Public Exam Hall Supervisor Duties 1
• Public Exam Hall Ticket 2
• Public Exam Question Paper and Answer key 2020 1
• Public Exam Time Table 2020-2021 2
• Public Exam Time Table 2022 5
• public exam time table 2023 4
• Public Holidays 2024 1
• public model question paper 2021 2
• Quarterly Exam Syllabus 2
• Quarterly Exam Time Table 11
• RAIN HOLIDAY 31
• Reading Marathon 1
• Reduced Syllabus 2021-2022 25
• Refresher Course Answer Key 50
• Refresher Course day wise planner 3
• Refresher Course Module Books 2021-2022 38
• Refresher Course Test Question Paper and Answer key 4
• Republic Day Speech in Tamil 6
• Revision Exam Time Table 2024 1
• Revision Test 2021-22 15
• RL List 2024 1
• samacheer kalvi guide 1
• School Calendar 2024 3
• School Colander 1
• School Diary 1
• School Holiday 1
• School Morning Prayer Activities 72
• School Reopen date 12
• SEAS Exam syllabus 2023 1
• SEAS Model Question Paper 1
• SG Teacher Vacancy List 1
• SGT - TRB 3
• SGT Exam Date 2
• Sgt exam hall ticket 1
• SGT Notification 1
• SI Exam Answer key 1
• smart class 1
• SMC Meeting 5
• SSLC MODEL PUBLIC EXAMINATION 2019-20 1
• SSLC Retotal List 1
• Students Temperature Format Check List 1
• Summative Assessment 2
• Syllabus 2022 15
• TALENT EXAM 1
• Tamil Nadu Government Holidays 2021 1
• Tamil Nadu Government Holidays List 1
• Tamil Thaai Vaalthu Song 1
• Tamil THIRANARI THERVU 1
• TC and Mark Sheet Forms Download PDF 1
• Teachers Training 1
• Telephone Directory 2
• temporary mark sheet 1
• Temporary Special Teacher Application Form 1
• Temporary Teachers 6
• Term 1 Exam Date 3
• Term 2 Exam Questions 5
• Term 2 Syllabus Download PDF 5
• Term 3 Question Paper 1
• term 3 syllabus 2
• TET Exam 2022 5
• TET Exam Date 3
• TET Latest News 14
• TET Paper 1 1
• TET Paper 2 1
• TET Paper 2 Result 1
• TET Passed 2013 5
• TET Protest 12
• TET WEIGHTAGE Marks 1
• thayien manikkodi pareer 1
• Then Chittu Magazine 2
• Time Table 6
• TN CEO Transfer 3
• TN Medical College List 1
• TN New Text Book 12
• TN SCERT 127
• TN School Calendar 7
• tn text books 3
• TNAU Cut Off Marks 2
• TNEA Cut Off Marks 2021 2
• TNPSC Annual Planner 2022 1
• TNPSC Group 4 Answer key 2
• TNPSC Group 4 Hall Ticket 1
• TNPSC Group 4 Result 1
• TNSED Administration App 1
• TNSED ATTENDANCE APP 9
• TNSED Manarkeni App 1
• TNSED PARENTS APP 1
• TNSED School App 20
• TNSED SCHOOLS NEW VERSION UPDATE 9
• TNTET 2022 Practice Test 2
• TNTET News 10
• tntet paper 2 hall ticket 1
• TNTET Paper II Revised Result 1
• TNUEGT & PSTA 1
• TRANSMISSION CUE SHEET 1
• TRB Annual Planner 5
• TRB NEW Website 2
• TRUST Result Date 1
• UG TRB Exam 4
• UGTRB Results 2024 2
• UGTRB subject wise vacancy 1
• Unit Test 5
• Vacant List 1
• Vijay TV neeya naana 1
• எண்ணும் எழுத்தும் 5
• ஒரு மரத்தின் பார்வையில் கட்டுரை 1
• கலைஞர் மகளிர் உரிமைத் தொகை 2
• கலைத் திருவிழா 3
• திருக்குறள் 2
• திறனாய்வுத் தேர்வு 1
• மணற்கேணி செயலி 1
• விநாயகர் சதுர்த்தி கொண்டாட்டம் 1

Footer Copyright

Contact form.

• NCERT Solutions
• NCERT Class 9
• NCERT 9 Maths

NCERT Solutions for Class 9 Maths

Ncert solutions for class 9 maths – free pdf updated for 2023-24 session.

NCERT Solutions for Class 9 Maths includes solutions to all the questions given in the NCERT textbook for Class 9. The students can download PDFs of chapter-wise solutions to these problems from the links provided below on this page. These NCERT Solutions for Class 9   cover all the topics included in the NCERT textbook, like Number System, Coordinate Geometry, Polynomials, Euclid’s Geometry, Quadrilaterals, Triangles, Circles, Constructions, Surface Areas and Volumes, Statistics, Probability, etc.

With the help of these Solutions of NCERT Books for Class 9 Maths , students can practise all types of questions from the chapters. The  CBSE Class 9 Maths Solutions have been designed by our experts in a well-structured format to provide several possible methods of answering the problems and ensure a proper understanding of concepts. The students are suggested to practise all these solutions thoroughly for their exams. It will also help them in building a foundation for higher-level classes.

NCERT Solutions Class 9 Maths Chapters

• Chapter 1 Number System
• Chapter 2 Polynomials
• Chapter 3 Coordinate Geometry
• Chapter 4 Linear Equations in Two Variables
• Chapter 5 Introduction to Euclids Geometry
• Chapter 6 Lines and Angles
• Chapter 7 Triangles
• Chapter 8 Quadrilaterals
• Chapter 9 Circles
• Chapter 10 Heron’s Formula
• Chapter 11 Surface Areas and Volumes
• Chapter 12 Statistics

The following chapters have been removed from the NCERT Class 9 Maths textbook 2023-24. 

• Areas of Parallelograms and Triangles
• Constructions
• Probability

Along with NCERT Solutions , students are also provided with other online learning materials available at BYJU’S, such as notes, books, question papers, exemplar problems, worksheets etc. These materials are designed with respect to the CBSE syllabus and NCERT curriculum. Students are also advised to practise CBSE Class 9 Sample Papers to get an idea of the question pattern in the final exam.

15 chapters are present in the NCERT Solutions for Class 9 Maths . These chapters given in the NCERT Class 9 Maths lay a foundation for the chapters present in Class 10. The PDFs given at BYJU’S are accessible to everyone and can be downloaded by the students for free.

NCERT Solutions of Class 9 Maths Book Chapter Brief:

Students having trouble solving tough Math problems can refer to these CBSE Maths Class 9 Solutions of NCERT for better guidance and for quick review. Solving these exercises in each chapter will ensure positive results.

NCERT Solutions Class 9 Maths Chapter 1 Number System

This chapter discusses different topics, including rational numbers and irrational numbers. Students will also be learning the extended version of the number line and how to represent numbers (integers, rational and irrational) on it. A total of 6 exercises are present in this chapter that contains the problems based on all the topics asked in the chapter. This chapter also teaches students the representation of terminating/non-terminating recurring decimals (and successive magnification method) as well as the presentation of square roots of 2, 3 and other non-rational numbers on the number line. The chapter also deals with the laws of integral powers and rational exponents with positive real bases in the Number System.

Topics Covered in Class 9 Maths Chapter 1 Number System

Review of representation of natural numbers, integers, and rational numbers on the number line. Representation of terminating/non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/terminating decimals.

Examples of nonrecurring/non-terminating decimals such as √2, √3, √5 etc. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line, and conversely, every point on the number line represents a unique real number.

Existence of √x for a given positive real number x (visual proof to be emphasised). Definition of n th root of a real number.

Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws).

Rationalisation (with precise meaning) of real numbers of the type (and their combinations) \(\begin{array}{l}\frac{1}{a+b\sqrt{x}}\: and\: \frac{1}{\sqrt{x}+\sqrt{\sqrt{y}}}\end{array} \) where x and y are natural numbers, and a and b are integers.

Important Formulas – 

Operations on Real Numbers

√(a/b) = √a/√b

√ab = √a √b

(√a + √b) (√a – √b) = a – b

(a + √b) (a – √b) = a 2 – b

(√a + √b) (√c + √d) = √ac + √ad + √bc + √bd

(√a + √b) 2 = a + 2√ab + b

Laws of Exponents for Real Numbers

a m . a n = a m + n

(a m ) n = a mn

a m /a n = a m – n , m > n

a m b m = (ab) m

Also, access the following resources for Class 9 Chapter 1 Number System, at BYJU’S:

• NCERT Number System Class 9 Notes
• Number System Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Number Systems
• RD Sharma Solutions Number Systems Class 9

Which is the best app for learning math?

We just saw all the solutions to the exercises given in the NCERT math textbook for class 9 for chapter 1 – Number System. Do you want to learn this and all other math concepts in a fun way, with engaging videos? BYJU’S The Learning App has you covered.

BYJU’S The Learning App for grade 9 math contains:

• 80+ math videos (~1500 minutes of content!)
• ~70 gamified interactive learning experiences
• Complete coverage of your school syllabus
• Important questions
• Summary cards to revise formulae
• Practice tests
• 24 X 7 access to learning resources

BYJU’S The Learning App for class 9 also covers History, Civics, Geography, Economics, Biology, Physics, and Chemistry. 

Click here to know more about why BYJU’S The Learning App is the best app for learning math.

NCERT Solutions Class 9 Maths Chapter 2 Polynomials

This chapter discusses a particular type of algebraic expression called polynomial and the terminology related to it. Polynomial is an expression that consists of variables and coefficients involving the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. The chapter also deals with the Remainder Theorem and the Factor Theorem with the uses of these theorems in the factorisation of polynomials. Students will be taught several examples as well as the definition of different terms like polynomials, degrees, coefficients, zeros and terms of a polynomial. A total of 5 exercises are present in this chapter, which includes problems related to all the topics mentioned in the chapter.

Topics Covered in Class 9 Maths Chapter 2 Polynomials

Definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial/equation. State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorisation of ax 2 + bx + c, a ≠ 0 where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.

Recall algebraic expressions and identities. Further identities of the type:

(x + y + z) 2 = x 2 + y 2 + z 2  + 2xy + 2yz + 2zx

(x ± y) 3  = x 3  ± y 3 ± 3xy (x ± y)

x 3  + y 3 + z 3 – 3xyz = (x + y + z) (x 2 + y 2 + z 2 – xy – yz – zx)

and their use in the factorisation of polynomials. Simple expressions are reducible to these polynomials.

Important Formulas –

(x + y) 2 = x 2 + 2xy + y 2

(x – y) 2 = x 2 – 2xy + y 2

x 2 – y 2 = (x + y) (x – y)

(x + y + z) 2 = x 2 + y 2 + z 2 + 2xy + 2yz + 2zx

(x + y) 3 = x 3 + y 3 + 3xy(x + y)

(x – y) 3 = x 3 – y 3 – 3xy(x – y)

x 3 + y 3 + z 3 – 3xyz = (x + y + z) (x 2 + y 2 + z 2 – xy – yz – zx)

Dividend = (Divisor × Quotient) + Remainder

Remainder Theorem

Let p(x) be any polynomial of degree greater than or equal to one, and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a).

Factor Theorem

If p(x) is a polynomial of degree n > 1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x – a is a factor of p(x).

Also, access the following resources for Class 9 Chapter 2 Polynomials, at BYJU’S:

• NCERT Polynomials Class 9 Notes 
• Polynomials Class 9 Important Questions 
• NCERT Exemplar Solutions Class 9 Polynomials
• RD Sharma Solutions factorisation of Polynomials Class 9

NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry

The chapter Coordinate Geometry includes the concepts of the cartesian plane, coordinates of a point in xy–plane, terms, and notations associated with the coordinate plane, including the x-axis, y-axis, x- coordinate, y-coordinate, origin, quadrants and more. Students, in this chapter, will also be studying the concepts of abscissa and ordinates of a point as well as plotting and naming a point in xy–plane. There are 3 exercises in this chapter that contain questions revolving around the topics mentioned in the chapter, helping the students get thorough with the concepts.

Topics Covered in Class 9 Maths Chapter 3 Coordinate Geometry

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y =mx + c and linking with the chapter on linear equations in two variables.

Important Points – 

• To locate the position of an object or a point in a plane, we require two perpendicular lines. One of them is horizontal, and the other is vertical.
• The plane is called the Cartesian, or coordinate plane, and the lines are called the coordinate axes.
• The horizontal line is called the x-axis, and the vertical line is called the y-axis.
• The coordinate axes divide the plane into four parts called quadrants.
• The point of intersection of the axes is called the origin.
• The distance of a point from the y-axis is called its x-coordinate, or abscissa, and the distance of the point from the x-axis is called its y-coordinate, or ordinate.

Also, access the following resources for Class 9 Chapter 3 Coordinate Geometry, at BYJU’S:

• NCERT Coordinate Geometry Class 9 Notes
• Coordinate Geometry Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Coordinate Geometry
• RD Sharma Solutions Coordinate Geometry Class 9

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

Along with recalling the knowledge of linear equations in one variable, this chapter will introduce the students to the linear equation in two variables, i.e. ax + by + c = 0. Students will also learn to plot the graph of a linear equation in two variables. There are 4 exercises in this chapter that consist of questions related to finding the solutions of a linear equation, plotting a linear equation on the graph and other topics discussed in the chapter.

Topics Covered in Class 9 Maths Chapter 4 Linear Equations in Two Variables:

Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that a linear equation in two variables has infinitely many solutions, and justify their being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.

Important Points –

• An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in two variables.
• A linear equation in two variables has infinitely many solutions.
• The graph of every linear equation in two variables is a straight line.
• x = 0 is the equation of the y-axis, and y = 0 is the equation of the x-axis.
• The graph of x = a is a straight line parallel to the y-axis.
• The graph of y = a is a straight line parallel to the x-axis.
• An equation of the type y = mx represents a line passing through the origin.

Also, access the following resources for Class 9 Chapter 4 Linear Equations in Two Variables, at BYJU’S:

• NCERT Linear Equations in Two Variables Class 9 Notes
• Linear Equations in Two Variables Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Linear Equations in Two Variables
• RD Sharma Solutions Linear Equations in Two Variables Class 9

NCERT Solutions Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

This chapter discusses Euclid’s approach to geometry and tries to link it with present-day geometry. Introduction to Euclid’s Geometry provides the students with a method of defining common geometrical shapes and terms. Students will be taken deeper into the topic of axioms, postulates and theorems with the two exercises present in the chapter.

Topics Covered in Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry:

History – Euclid and geometry in India. Euclid’s method of formalising observed phenomenon into rigorous mathematics with definitions, common/obvious notions, axioms/postulates, and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem. 1. Given two distinct points, there exists one and only one line through them. 2. (Prove) Two distinct lines cannot have more than one point in common.

Important Axioms and Postulates – 

Some of Euclid’s axioms are:

(1) Things which are equal to the same thing are equal to one another.

(2) If equals are added to equals, the wholes are equal.

(3) If equals are subtracted from equals, the remainders are equal.

(4) Things which coincide with one another are equal to one another.

(5) The whole is greater than the part.

(6) Things which are double of the same things are equal to one another.

(7) Things which are halves of the same thing are equal to one another.

Euclid’s Five Postulates

Postulate 1 – A straight line may be drawn from any one point to any other point.

Postulate 2 – A terminated line can be produced indefinitely.

Postulate 3 – A circle can be drawn with any centre and any radius.

Postulate 4 – All right angles are equal to one another.

Postulate 5 – If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

Also, access the following resources for Class 9 Chapter 5 Introduction to Euclid’s Geometry, at BYJU’S:

• NCERT Introduction to Euclid’s Geometry Class 9 Notes
• Introduction to Euclid’s Geometry Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Introduction to Euclid’s Geometry
• RD Sharma Solutions Introduction to Euclid’s Geometry Class 9

NCERT Solutions Class 9 Maths Chapter 6 Lines and Angles

This chapter revolves around the theorems present in the topics of Lines and Angles. Students might often be asked to prove the statements given in the questions. There are 3 exercises in the chapter, solving which students would be able to understand the concepts covered in the chapter thoroughly. There are four axioms and eight theorems covered in the chapter.

Topics Covered in Class 9 Maths Chapter 6 Lines and Angles:

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and the converse. 2. (Prove) If two lines intersect, the vertically opposite angles are equal. 3. (Motivate) Results on corresponding angles, alternate angles, and interior angles when a transversal intersects two parallel lines. 4. (Motivate) Lines, which are parallel to a given line, are parallel. 5. (Prove) The sum of the angles of a triangle is 180°. 6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.

• If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and vice versa. This property is called the Linear pair axiom.
• If two lines intersect each other, then the vertically opposite angles are equal.
• If a transversal intersects two parallel lines, then

(i) each pair of corresponding angles is equal,

(ii) each pair of alternate interior angles is equal,

(iii) each pair of interior angles on the same side of the transversal is supplementary.

• If a transversal intersects two lines such that, either

(i) any one pair of corresponding angles is equal, or

(ii) any one pair of alternate interior angles is equal, or

(iii) any one pair of interior angles on the same side of the transversal is supplementary, then the lines are parallel.

Also, access the following resources for Class 9 Chapter 6 Lines and Angles, at BYJU’S:

• NCERT Lines and Angles Class 9 Notes
• Lines and Angles Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Lines and Angles
• RD Sharma Solutions Lines and Angles Class 9

NCERT Solutions Class 9 Maths Chapter 7 Triangles

In this chapter, students will study in detail the congruence of triangles, rules of congruence, some properties of triangles and the inequalities in triangles. The chapter has a total of 5 exercises, in which the students are asked “to-prove” as well as application-level problems. With this chapter, students will also learn to prove the properties that they learnt in earlier classes. The chapter also teaches the students to apply the various congruence rules while solving the problems. There are about eight theorems covered in this chapter.

Topics Covered in Class 9 Maths Chapter 7 Triangles:

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). 2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). 3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to the three sides of the other triangle (SSS Congruence). 4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. 5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal. 7. (Motivate) Triangle inequalities and the relation between ‘angle and facing side’; inequalities in a triangle.

Important Axioms and Theorems –

Axiom 7.1 (SAS congruence rule) – Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

Theorem 7.1 (ASA congruence rule) – Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle.

Theorem 7.2 – Angles opposite to equal sides of an isosceles triangle are equal.

Theorem 7.3 – The sides opposite to equal angles of a triangle are equal.

Theorem 7.4 (SSS congruence rule) – If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Theorem 7.5 (RHS congruence rule) – If in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

Theorem 7.6 – If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater).

Theorem 7.7 – In any triangle, the side opposite to the larger (greater) angle is longer.

Theorem 7.8 – The sum of any two sides of a triangle is greater than the third side.

Also, access the following resources for Class 9 Chapter 7 Triangles, at BYJU’S:

• NCERT Triangles Class 9 Notes
• Triangles Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Triangles
• RD Sharma Solutions Triangles Class 9

NCERT Solutions Class 9 Maths Chapter 8 Quadrilaterals

A figure obtained by joining four points in order is called a quadrilateral. This chapter takes the students to the depth of the topics of Quadrilaterals. The chapter contains 2 exercises that contain only one theorem to prove. However, there are a total of nine theorems that can be used to solve the application or conceptual-level questions asked. The angle sum property of a quadrilateral, types of quadrilaterals, properties of a parallelogram, and the mid-point theorem are explained in this chapter to help the students in learning the concepts thoroughly.

Topics Covered in Class 9 Maths Chapter 8 Quadrilaterals:

1. (Prove) The diagonal divides a parallelogram into two congruent triangles. 2. (Motivate) In a parallelogram, opposite sides are equal and conversely. 3. (Motivate) In a parallelogram, opposite angles are equal and conversely. 4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and equal. 5. (Motivate) In a parallelogram, the diagonals bisect each other conversely. 6. (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side and (motivate) its converse.

Important Theorems –

A quadrilateral has four sides, four angles and four vertices.

Angle Sum Property of a Quadrilateral – The sum of the angles of a quadrilateral is 360 o .

Theorem 8.1 – A diagonal of a parallelogram divides it into two congruent triangles

Theorem 8.2 – In a parallelogram, opposite sides are equal.

Theorem 8.3 – If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

Theorem 8.4 – In a parallelogram, opposite angles are equal.

Theorem 8.5 – If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.

Theorem 8.6 – The diagonals of a parallelogram bisect each other.

Theorem 8.7 – If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Theorem 8.8 – A quadrilateral is a parallelogram if a pair of opposite sides are equal and parallel.

Theorem 8.9 – The line segment joining the mid-points of two sides of a triangle is parallel to the third side.

Theorem 8.10 – The line drawn through the mid-point of one side of a triangle, parallel to another side, bisects the third side.

Also, access the following resources for Class 9 Chapter 8 Quadrilaterals, at BYJU’S:

• NCERT Quadrilaterals Class 9 Notes
• Quadrilaterals Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Quadrilaterals
• RD Sharma Solutions Quadrilaterals Class 9

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

In this chapter, an attempt has been made to consolidate the knowledge about the formulae to find the areas of different figures by studying relationships between the areas of geometric figures, provided they lie on the same base and between the same parallels. This study will also be useful in understanding some results on the ‘similarity of triangles’. The chapter contains 4 exercises, of which most of the questions ask the students to prove the statements given.

Topics Covered in Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles:

Review the concept of area and recall the area of a rectangle. 1. (Prove) Parallelograms on the same base and between the same parallels have the same area. 2. (Motivate) Triangles on the same base and between the same parallels are equal in area and its converse.

Theorem 9.1 – Parallelograms on the same base and between the same parallels are equal in area.

Theorem 9.2 – Two triangles on the same base (or equal bases) and between the same parallels are equal in area.

Theorem 9.3 – Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.

Also, access the following resources for Class 9 Chapter 9 Areas of Parallelograms and Triangles, at BYJU’S:

• NCERT Areas of Parallelograms and Triangles Class 9 Notes
• Areas of Parallelograms and Triangles Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Areas of Parallelograms and Triangles
• RD Sharma Solutions Areas of Parallelograms and Triangles Class 9

NCERT Solutions Class 9 Maths Chapter 10 Circles

A circle can be defined as a collection of all the points in a plane at a fixed distance from a fixed point in the plane. Topics like Angle Subtended by a Chord at a Point, Equal Chords and their respective distances from the Centre, the Angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals and other terms related to circles are covered in this chapter. A total of twelve theorems are present in this chapter, learning which the students will get a clearer idea of the concepts taught. There are 6 exercises in this chapter which consist of questions from all the concepts present in the chapter.

Topics Covered in Class 9 Maths Chapter 10 Circles:

Through examples, arrive at definitions of circle-related concepts, radius, circumference, diameter, chord, arc, and subtended angle. 1. (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse. 2. (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord, and conversely, the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. 3. (Motivate) There is one and only one circle passing through three given non-collinear points. 4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre(s) and conversely. 5. (Prove) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. 6. (Motivate) Angles in the same segment of a circle are equal. 7. (Motivate) If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the segment, the four points lie on a circle. 8. (Motivate) The sum of either pair of opposite angles of a cyclic quadrilateral is 180 0 and its converse.

Theorem 10.1 – Equal chords of a circle subtend equal angles at the centre.

Theorem 10.2 – If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.

Theorem 10.3 – The perpendicular from the centre of a circle to a chord bisects the chord.

Theorem 10.4 – The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

Theorem 10.5 – There is one and only one circle passing through three given non-collinear points.

Theorem 10.6 – Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres).

Theorem 10.7 – Chords equidistant from the centre of a circle are equal in length.

Theorem 10.8 – The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Theorem 10.9 – Angles in the same segment of a circle are equal.

Theorem 10.10 – If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle (i.e. they are concyclic).

Theorem 10.11 – The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.

Theorem 10.12 – If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.

Also, access the following resources for Class 9 Chapter 10 Circles, at BYJU’S:

• NCERT Circles Class 9 Notes
• Circles Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Circles
• RD Sharma Solutions Circles Class 9

NCERT Solutions Class 9 Maths Chapter 11 Constructions

In this chapter, students will learn some basic constructions. The method learnt will then be used to construct certain kinds of triangles. There are 2 exercises present in this chapter, of which the first exercise deals with the construction of a certain angle or the bisector of a given angle. On the other hand, the second exercise deals with the constructions of triangles when different parameters are given.

Topics Covered in Class 9 Maths Chapter 11 Constructions:

1. Construction of bisectors of a line segment and angle, 60°, 90°, 45° angles etc., equilateral triangles. 2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle. 3. Construction of a triangle of given perimeter and base angles.

Construction 11.1 – To construct the bisector of a given angle.

Construction 11.2 – To construct the perpendicular bisector of a given line segment.

Construction 11.3 – To construct an angle of 600 at the initial point of a given ray.

Construction 11.4 – To construct a triangle, given its base, a base angle and the sum of the other two sides.

Construction 11.5 – To construct a triangle given its base, a base angle and the difference between the other two sides.

Construction 11.6 – To construct a triangle, given its perimeter and its two base angles.

Also, access the following resources for Class 9 Chapter 11 Constructions, at BYJU’S:

• NCERT Constructions Class 9 Notes
• Constructions Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Constructions
• RD Sharma Solutions Constructions Class 9

NCERT Solutions Class 9 Maths Chapter 12 Heron’s Formula

The chapter discusses Heron’s formula, which can be used to calculate the area of a triangle when the length of all three sides is given. In this method, there is no need to calculate the angles or other distances in the triangle. This formula can be used not only to find the area of triangles but also to find the areas of quadrilaterals and other polygons by dividing them into triangles. There are 2 exercises in this chapter which help the student understand the method of solving the problems based on Heron’s formula.

Topics Covered in Class 9 Maths Chapter 12 Heron’s Formula:

Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.

Area of a triangle = 1/2 × base × height

Where a, b and c are the sides of a triangle

s is the semi-perimeter, i.e. half of the perimeter of a triangle = (a + b + c)/2

Also, access the following resources for Class 9 Chapter 12 Heron’s Formula, at BYJU’S:

• NCERT Heron’s Formula Class 9 Notes
• Heron’s Formula Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Heron’s Formula
• RD Sharma Solutions Heron’s Formula Class 9

NCERT Solutions Class 9 Maths Chapter 13 Surface Areas and Volumes

In this chapter, students shall learn to find the surface areas and volumes of cuboids and cylinders in detail and broaden the study to some other solids, such as cones and spheres. This chapter is just an extended version of the chapter mensuration, in which the students learnt about the surface areas and volumes in earlier classes. There are 8 exercises in this chapter, and these exercises contain problems that are based on surface areas and volumes of different solids such as cubes, cuboids, spheres, cylinders, cones, and hemispheres.

Topics Covered in Class 9 Maths Chapter 13 Surface Areas and Volumes :

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.

Surface Area of a Cuboid = 2(lb + bh + hl)

where l, b and h are, respectively, the three edges of the cuboid

Surface Area of a Cube = 6a 2

where a is the edge of the cube.

Curved Surface Area of a Cylinder = 2πrh

where r is the radius of the base of the cylinder and h is the height of the cylinder

Total Surface Area of a Cylinder = 2πr(r + h)

where h is the height of the cylinder and r is its radius

Curved Surface Area of a Cone = 1/2 × l × 2πr = πrl

where r is its base radius, and l is its slant height

Total Surface Area of a Cone = πrl + πr 2 = πr(l + r)

Surface Area of a Sphere = 4 π r 2

where r is the radius of the sphere.

Curved Surface Area of a Hemisphere = 2πr 2

where r is the radius of the sphere of which the hemisphere is a part.

Total Surface Area of a Hemisphere = 3πr 2

Volume of a Cuboid = base area × height = length × breadth × height

Volume of a Cube = edge × edge × edge = a 3

Volume of a Cylinder = πr 2 h

where r is the base radius, and h is the height of the cylinder.

Volume of a Cone = 1/3 πr 2 h

where r is the base radius, and h is the height of the cone.

Volume of a Sphere = 4/3 πr 3

Volume of a Hemisphere = 2/3 πr 3

where r is the radius of the hemisphere.

Also, access the following resources for Class 9 Chapter 13 Surface Areas and Volumes, at BYJU’S:

• NCERT Surface Areas and Volumes Class 9 Notes
• Surface Areas and Volumes Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Surface Areas and Volumes
• RD Sharma Solutions Surface Areas and Volumes Class 9

NCERT Solutions Class 9 Maths Chapter 14 Statistics

The branch of Mathematics in which the extraction of meaningful information is studied is known as Statistics. It can also be defined as the collection of data on different aspects of the life of people useful to the State. The chapter teaches about the different presentations of the data, including the frequency distribution as well. The chapter also helps the students learn the graphical representation of data using different graphs such as Bar graphs, Histograms, Frequency polygons, etc. The chapter also lets the students learn the measure of central tendency mean, median and mode of the raw data. A total of 4 exercises are present in the chapter that includes problems related to all these concepts.

Topics Covered in Class 9 Maths Chapter 14 Statistics:

Introduction to Statistics: Collection of data, presentation of data – tabular form, ungrouped/grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, and mode of ungrouped data.

Statistics deals with the collection, presentation, and analysis of data, as well as the drawing of meaningful conclusions from the data.

Mean – It is found by adding all the values of the observations and dividing it by the total number of observations. It is denoted by \(\begin{array}{l}\overline{x}\end{array} \) .

Median – It is the value of the middle-most observation (s).

If n is an odd number, the median = value of the [(n + 1)/2] th observation

If n is an even number, median = Mean of the values of the (n/2) th and [(n/2) + 1] th observations.

Mode – The mode is the most frequently occurring observation.

Also, access the following resources for Class 9 Chapter 14 Statistics, at BYJU’S:

• NCERT Statistics Class 9 Notes
• Statistics Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Statistics
• RD Sharma Solutions Statistics Class 9

NCERT Solutions Class 9 Maths Chapter 15 Probability

The collection of some outcomes of an experiment is known as an event of an experiment. The chances of occurrence of an event are known as probability. In this chapter, students will learn to measure the chance of occurrence of a particular outcome in an experiment. This chapter contains only 1 exercise. The problems covered in this exercise are based on real-life incidents, enhancing the interest of the students in solving the questions.

Topics Covered in Class 9 Maths Chapter 15 Probability:

History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real-life situations and from examples used in the chapter on statistics).

The empirical probability P(E) of an event E happening is given by

P (E) = Number of trials in which the event happened/The total number of trials

Also, access the following resources for Class 9 Chapter 15 Probability, at BYJU’S:

• NCERT Probability Class 9 Notes
• Probability Class 9 Important Questions
• NCERT Exemplar Solutions Class 9 Probability
• RD Sharma Solutions Probability Class 9

Benefits of BYJU’S NCERT Maths Solutions for Class 9

• The solutions are given in easy steps so that students can easily understand them.
• Students can access these solutions for free and clear any doubts instantly.
• Exercise-wise PDFs are also provided for all chapters of CBSE 9th Class Maths.
• Detailed explanations also help students to develop problem-solving skills and help them to learn concepts more effectively.
• The questions are solved using the easiest method.
• Diagrams are also given to help students visualise the questions and solutions.

CBSE Class 9 Maths Unit-wise Weightage for 2023-24

Internal Assessment Class 9

During the exam preparation, students should first complete the units carrying more weightage and then move on to the lower weightage. This helps students to first cover the important concepts and improves their confidence level to perform well in the annual exam.

The students are advised to analyse all the concepts covered in the Syllabus of Class 9 Maths and prepare a proper preparation strategy. It’s merely impossible to score well in Maths by simply reading and memorising the concepts. Students should always try to understand the concept and logic given in any particular topic. The students are suggested to practise these NCERT Solutions Class 9 materials on a regular basis to develop a strong understanding of basic mathematics concepts.

Along with the NCERT Solutions, we have also provided a brief summary of important formulas and different methods of solving similar problems to help students understand the concepts thoroughly. Keep visiting BYJU’S to get more updated learning materials, and download the BYJU’S app for a better and personalised learning experience with engaging video lessons.

Frequently Asked Questions on NCERT Solutions for Class 9 Maths

How can i learn the class 9 maths chapters in a fast and efficient way, can i get solved answers for the questions from the ncert class 9 maths chapters, should i daily solve the questions from the ncert solutions for class 9 maths , how can i download the ncert solutions for class 9 maths at byju’s, leave a comment cancel reply.

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

• Switch skin

Class 9 Math & Higher Math Assignment Answer 2021 PDF ( 11th Week)

Class 9 General Math Assignment solution with right answer 2021 with PDF. Class 9 Higher Math & Math assignment answer 2021 11th week solution is available on admissionwar.com. Today we will try to give you Class 9 math assignment question and answer. In this post, we have arranged for your class 9 mathematics (Gonit) all week assignment solve so stay with us

⚠ Class Nine 11th week Higher Math assignment answer is available now.

Class 9 Math & Higher Math Assignment Answer 2021

Today we will discuss class 9 math assignment answer 2021. To get class 9 math assignment solution students will search on the internet for their class 9 assignment answer, for this reason, we have arranged this post. My dear if you are a student of class six and if you need be 9 all subject assignment answer then it is a right place so read our post carefully.

11th Week Class Nine Assignment Question & Sample Solution 2021

The current week’s assignment topic has grab from the 6th chapter of the main book. Students must submit their homework within the deadline.

Sample Answer Image

Class 9 Higher Math Assignment Answer 8th week

8th week Higher Math assignment for class 9 has been announced on dshe.gov.bd. Here we added higher math assignment question and answer.

• Assignment Question 
• Assignment Answer 

Download Assignment PDF

Check Others Subject Answer

7th week assignment question & Answer

Read More: Download Class 9-10 Math Book PDF

Gonit Assignment Solution PDF

May be you want to complete their class 9 gonit assignment solution without any hesitation so we can say that is will very helpful post. Dear students you will be very glad to know that in our site you will find all subject class 9 assignment solution step by step. Here we added assignment answer image and PDF.

3rd week Math Assignment Answer

Download as PDF

  Check Higher Math Answer

Class 9 Math Assignment 2021

You will find 3rd week class 9 math assignment answer here. Below math  assignment will give with the answer. So read our article very carefully and follow your math  assignment answer. Hopefully you will get the solution without any mistake. Although math is easy subject, you should not deny it but you should find it seriously.

 Math Assignment Answer

Class 9 Assignment 6th week question has been announced . If you are class 9 students and want to get assignment answer so quickly then follow our website. We provide class nine assignment 6th week answer.

Class 9 Assignment Question Answer All Week 

We have seen that all of the students want to get All week Class 9 assignment answer so to demand of this subject we have arranged this so we focus this subject keeping its important in our head. We hope to see our work for you will be very glad. However you are benefited and then share your friends so that they get   Class 9 Math assignment solution, Class 9 Math assignment answer 5 th week & Class 9 Math assignment answer 6 th  week.

To get all other class assignment answer, subscribe our website and if you want to know to us about Class 9 Assignment all subjects Answer, comment in the following comment box.

Related Articles

SSC 8th Week Assignment Question 2021 PDF

Class 9 Assignment Question 2021 (15th Week)

Hsc 8th week assignment question 2022 pdf, 14th week class 6,7,8 & 9 assignment question 2021.

+24 hoba na?? ans2 ta. higher math

I love this site very much ❤💚💙

I love this site very much 😍

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Original EdwardsMaths Papers

Grade 9 edwardsmaths assignment 2020 term 1.

• 19222 Download
• 305.82 KB File Size
• 2 File Count
• February 4, 2020 Create Date
• August 18, 2020 Last Updated

Grade 9 Exemplar September Test and Memo

Grade 9 june 2019 paper 1 edwardsmaths (afr+eng versions), leave a reply cancel reply.

Your email address will not be published. Required fields are marked *

Grade 12 Math Mock Exam Gauteng September 2023 P2

Grade 12 math mock exam gauteng september 2023 p1, grade 12 math mock exam winelands september 2023 p2, grade 12 math mock exam winelands september 2023 p1, grade 10 math exam june 2015 kzn.

© 2018 All rights Reserved.

Samacheer Kalvi 9th Maths Book Answers Solutions Guide

Expert Teachers at SamacheerKalvi.Guru has created Tamilnadu State Board Samacheer Kalvi 9th Maths Book Answers and Solutions Guide Pdf Free Download in English Medium and Tamil Medium are part of Samacheer Kalvi 9th Books Solutions . Here we have given TN State Board New Syllabus Samacheer Kalvi 9th Std Maths Guide Pdf of Book Back Questions and Answers, Chapter Wise Important Questions, Study Material, Question Bank, Notes, Formulas, Term 1, 2, 3.

Students can also read Samacheer Kalvi 9th Science Book Solutions .

Samacheer Kalvi 9th Maths Guide Pdf Free Download

Samacheer Kalvi 9th Maths Book Back Answers

Tamilnadu State Board Samacheer Kalvi 9th Maths Book Answers Solutions Guide Term 1, 2, 3

Samacheer Kalvi 9th Maths Book with Answers Chapter 1 Set Language

• Chapter 1 Set Language Ex 1.1
• Chapter 1 Set Language Ex 1.2
• Chapter 1 Set Language Ex 1.3
• Chapter 1 Set Language Ex 1.4
• Chapter 1 Set Language Ex 1.5
• Chapter 1 Set Language Ex 1.6
• Chapter 1 Set Language Ex 1.7
• Chapter 1 Set Language Additional Questions

Samacheer Kalvi 9th Maths Book Solutions Chapter 2 Real Numbers

• Chapter 2 Real Numbers Ex 2.1
• Chapter 2 Real Numbers Ex 2.2
• Chapter 2 Real Numbers Ex 2.3
• Chapter 2 Real Numbers Ex 2.4
• Chapter 2 Real Numbers Ex 2.5
• Chapter 2 Real Numbers Ex 2.6
• Chapter 2 Real Numbers Ex 2.7
• Chapter 2 Real Numbers Ex 2.8
• Chapter 2 Real Numbers Ex 2.9
• Chapter 2 Real Numbers Additional Questions

TN 10th Maths Guide Samacheer Kalvi Pdf Free Download Chapter 3 Algebra

• Chapter 3 Algebra Ex 3.1
• Chapter 3 Algebra Ex 3.2
• Chapter 3 Algebra Ex 3.3
• Chapter 3 Algebra Ex 3.4
• Chapter 3 Algebra Ex 3.5
• Chapter 3 Algebra Ex 3.6
• Chapter 3 Algebra Ex 3.7
• Chapter 3 Algebra Ex 3.8
• Chapter 3 Algebra Ex 3.9
• Chapter 3 Algebra Ex 3.10
• Chapter 3 Algebra Ex 3.11
• Chapter 3 Algebra Ex 3.12
• Chapter 3 Algebra Ex 3.13
• Chapter 3 Algebra Ex 3.14
• Chapter 3 Algebra Ex 3.15
• Chapter 3 Algebra Additional Questions

Samacheer Kalvi 9th Maths Guide Pdf Free Download Chapter 4 Geometry

• Chapter 4 Geometry Ex 4.1
• Chapter 4 Geometry Ex 4.2
• Chapter 4 Geometry Ex 4.3
• Chapter 4 Geometry Ex 4.4
• Chapter 4 Geometry Ex 4.5
• Chapter 4 Geometry Ex 4.6
• Chapter 4 Geometry Ex 4.7
• Chapter 4 Geometry Additional Questions

Samacheer Kalvi 9th Maths Book English Medium Chapter 5 Coordinate Geometry

• Chapter 5 Coordinate Geometry Ex 5.1
• Chapter 5 Coordinate Geometry Ex 5.2
• Chapter 5 Coordinate Geometry Ex 5.3
• Chapter 5 Coordinate Geometry Ex 5.4
• Chapter 5 Coordinate Geometry Ex 5.5
• Chapter 5 Coordinate Geometry Ex 5.6
• Chapter 5 Coordinate Geometry Additional Questions

9th Standard Samacheer Kalvi Maths Guide Free Download Chapter 6 Trigonometry

• Chapter 6 Trigonometry Ex 6.1
• Chapter 6 Trigonometry Ex 6.2
• Chapter 6 Trigonometry Ex 6.3
• Chapter 6 Trigonometry Ex 6.4
• Chapter 6 Trigonometry Ex 6.5
• Chapter 6 Trigonometry Additional Questions

Samacheer Kalvi 9th Maths Guide Online Chapter 7 Mensuration

• Chapter 7 Mensuration Ex 7.1
• Chapter 7 Mensuration Ex 7.2
• Chapter 7 Mensuration Ex 7.3
• Chapter 7 Mensuration Ex 7.4
• Chapter 7 Mensuration Additional Questions

Tamilnadu Board Class 9 Maths Chapter 8 Statistics

• Chapter 8 Statistics Ex 8.1
• Chapter 8 Statistics Ex 8.2
• Chapter 8 Statistics Ex 8.3
• Chapter 8 Statistics Ex 8.4
• Chapter 8 Statistics Additional Questions

Tamil Nadu State Board 9th Std Maths Chapter 9 Probability

• Chapter 9 Probability Ex 9.1
• Chapter 9 Probability Ex 9.2
• Chapter 9 Probability Ex 9.3
• Chapter 9 Probability Additional Questions

9th Standard Maths Guide Tamil Medium Pdf Free Download

Samacheer Kalvi 9th Maths Guide Tamil Medium Pdf Free Download, 9th Maths Guide in Tamil Medium Pdf Download 2020-2021.

Samacheer Kalvi 9th Maths Book Back Answers Chapter 1 கண மொழி

• Chapter 1 கண மொழி Ex 1.1
• Chapter 1 கண மொழி Ex 1.2
• Chapter 1 கண மொழி Ex 1.3
• Chapter 1 கண மொழி Ex 1.4
• Chapter 1 கண மொழி Ex 1.5
• Chapter 1 கண மொழி Ex 1.6
• Chapter 1 கண மொழி Ex 1.7

Tamilnadu State Board 9th Maths Samacheer Solutions Chapter 2 மெய்யெண்கள்

• Chapter 2 மெய்யெண்கள் Ex 2.1
• Chapter 2 மெய்யெண்கள் Ex 2.2
• Chapter 2 மெய்யெண்கள் Ex 2.3
• Chapter 2 மெய்யெண்கள் Ex 2.4
• Chapter 2 மெய்யெண்கள் Ex 2.5
• Chapter 2 மெய்யெண்கள் Ex 2.6
• Chapter 2 மெய்யெண்கள் Ex 2.7
• Chapter 2 மெய்யெண்கள் Ex 2.8
• Chapter 2 மெய்யெண்கள் Ex 2.9

Samacheer Kalvi Maths Guide For 9th Std Chapter 3 இயற்கணிதம்

• Chapter 3 இயற்கணிதம் Ex 3.1
• Chapter 3 இயற்கணிதம் Ex 3.2
• Chapter 3 இயற்கணிதம் Ex 3.3
• Chapter 3 இயற்கணிதம் Ex 3.4
• Chapter 3 இயற்கணிதம் Ex 3.5
• Chapter 3 இயற்கணிதம் Ex 3.6
• Chapter 3 இயற்கணிதம் Ex 3.7
• Chapter 3 இயற்கணிதம் Ex 3.8
• Chapter 3 இயற்கணிதம் Ex 3.9
• Chapter 3 இயற்கணிதம் Ex 3.10
• Chapter 3 இயற்கணிதம் Ex 3.11
• Chapter 3 இயற்கணிதம் Ex 3.12
• Chapter 3 இயற்கணிதம் Ex 3.13
• Chapter 3 இயற்கணிதம் Ex 3.14
• Chapter 3 இயற்கணிதம் Ex 3.15

9th Standard Maths Answer Key Chapter 4 வடிவியல்

• Chapter 4 வடிவியல் Ex 4.1
• Chapter 4 வடிவியல் Ex 4.2
• Chapter 4 வடிவியல் Ex 4.3
• Chapter 4 வடிவியல் Ex 4.4
• Chapter 4 வடிவியல் Ex 4.5
• Chapter 4 வடிவியல் Ex 4.6
• Chapter 4 வடிவியல் Ex 4.7

9th Class Maths Guide State Syllabus Pdf ஆயத்தொலை வடிவியல்

• Chapter 5 ஆயத்தொலை வடிவியல் Ex 5.1
• Chapter 5 ஆயத்தொலை வடிவியல் Ex 5.2
• Chapter 5 ஆயத்தொலை வடிவியல் Ex 5.3
• Chapter 5 ஆயத்தொலை வடிவியல் Ex 5.4
• Chapter 5 ஆயத்தொலை வடிவியல் Ex 5.5
• Chapter 5 ஆயத்தொலை வடிவியல் Ex 5.6

9th Samacheer Maths Solution Book Chapter 6 முக்கோணவியல்

• Chapter 6 முக்கோணவியல் Ex 6.1
• Chapter 6 முக்கோணவியல் Ex 6.2
• Chapter 6 முக்கோணவியல் Ex 6.3
• Chapter 6 முக்கோணவியல் Ex 6.4
• Chapter 6 முக்கோணவியல் Ex 6.5

Samacheer 9th Maths Guide Tamil Medium Pdf Free Download Chapter 7 அளவியல்

• Chapter 7 அளவியல் Ex 7.1
• Chapter 7 அளவியல் Ex 7.2
• Chapter 7 அளவியல் Ex 7.3
• Chapter 7 அளவியல் Ex 7.4

Samacheer Kalvi Class 9 Maths Solutions Chapter 8 புள்ளியியல்

• Chapter 8 புள்ளியியல் Ex 8.1
• Chapter 8 புள்ளியியல் Ex 8.2
• Chapter 8 புள்ளியியல் Ex 8.3
• Chapter 8 புள்ளியியல் Ex 8.4

9th Standard Samacheer Kalvi Maths Guide Chapter 9 நிகழ்தகவு

• Chapter 9 நிகழ்தகவு Ex 9.1
• Chapter 9 நிகழ்தகவு Ex 9.2
• Chapter 9 நிகழ்தகவு Ex 9.3

We hope the given Tamilnadu State Board Samacheer Kalvi Class 9th Maths Book Solutions and Answers Pdf Free Download in English Medium and Tamil Medium will help you. If you have any queries regarding TN State Board New Syllabus Samacheer Kalvi 9th Standard Maths Guide Pdf of Book Back Questions and Answers, Chapter Wise Important Questions, Study Material, Question Bank, Notes, Formulas Term 1, 2, 3 , drop a comment below and we will get back to you at the earliest.

Leave a Comment Cancel Reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Edexcel GCSE Exam Papers

Grade Boundaries

Foundation GCSE Exam Papers

Higher GCSE Exam Papers

Old specification papers (higher only).

Even Older Papers (Higher Only)

Other Links

Copyright © Maths Genie. Maths Genie Limited is a company registered in England and Wales with company number 14341280. Registered Office: 86-90 Paul Street, London, England, EC2A 4NE.