NCERT Solutions for Class 9 Maths CBSE

Discover a collection of all the necessary items required for studying class 9 Mathematics. TopperLearning has solutions for all the NCERT questions to ensure that your academic progress never suffers.

CBSE Class 9 syllabus is extensive, especially CBSE Class 9 Maths. Acing Mathematics requires perseverance and students often struggle to find solutions for their queries. In order to ease the stress, we have come up with NCERT solutions for class 9 Mathematics. With TopperLearning, one can find the solution to each and every question from NCERT for CBSE Class 9 Maths.

Use TopperLearning’s NCERT Solutions for Class 9 Maths CBSE to study CBSE Class 9 syllabus of Mathematics. Solutions or extra practice questions for the CBSE Class 9 syllabus are a constant need and we cater efficiently to that need with our study material. TopperLearning offers a wholesome target-oriented package of NCERT solutions for CBSE Class 9 Mathematics. Gain access to 400+ Video Lectures, 200+ Revision Notes, 12,000+ Question Banks, and CBSE sample paper class 9 with solutions that are completely adequate for CBSE online class 9 preparation.

TopperLearning provides chapter-wise solutions with elaborate explanation. Concepts are explained in detail with accurate NCERT Solutions for CBSE Class 9 Mathematics by our skilled subject experts.  CBSE  students can refer to the detailed chapter-wise solutions, which provide answers to all your queries. NCERT solutions for class 9 Mathematics is a must-have to improve your progress and ace your scores. Access to these solutions is quick and hassle-free.

Apart from NCERT Solutions for CBSE Class 9 Mathematics, TopperLearning offers many add-on materials that will ace a student’s score. CBSE sample papers for Class 9 are designed by our Maths Subject Experts and the papers consistent with the latest CBSE Class 9 Syllabus.

We also provide CBSE Class 9 Maths revision notes for a quick brush up. Here is the list of all the chapters from the CBSE Class 9 syllabus, Click on the chapter and excel in learn CBSE Class 9 Maths

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NCERT Solutions for Class 9 Maths

NCERT Solutions for CBSE Class 9 Mathematics Chapter 1 Number System

This chapter briefly takes into account the conceptual knowledge of a student from previous grades. The student will have an in-depth understanding of the real number system by performing various operations on it. It will also involve revision of rational and irrational numbers along with natural numbers, whole numbers, and integers. The use of number line enables a prim and proper understanding that builds a strong foundation of CBSE Class 9 Maths

These basic concepts lead to decimal expansion and rationalisation. The student will be able to find out whether the given decimal is non-terminating repeating or terminating and will be able to rationalise the irrational numbers with TopperLearning’s NCERT solutions for CBSE Class 9 Maths.

The chapter has six exercises as mentioned below. Each question is solved with an apt approach by our subject experts. The solutions are self-explanatory and provide complete clarity.

Chapter 1 - Number Systems Exercise Ex. 1.1

There are four questions in this exercise. This exercise can also be called a recap of previous knowledge, with some new concepts. Students should be able to list the rational numbers between any two natural numbers. Our subject experts have solved these questions in an elaborate manner. Students can tally their solutions and use our doubt solver "Undoubt" feature in case of doubts.

Chapter 1 - Number Systems Exercise Ex. 1.2

Irrational numbers is a tricky concept to comprehend. TopperLearning makes it simpler for all students by solving all four questions in this exercise. These questions are about understanding the scope of different types of numbers and playing the irrational numbers on the number line. Each solution has a concept insight, which makes it simpler to learn CBSE Class 9 Maths. Check your solutions and use our doubt solver "Undoubt" feature in case of doubts.

Chapter 1 - Number Systems Exercise Ex. 1.3

The focus in this exercise is on rational and irrational numbers along with decimal expansion. The process of representation of real numbers on the number line using their decimal expansions is thoroughly discussed. This exercise has nine questions with some sub-questions as well. Our subject experts have not only provided with the solutions but have also given you a concept insight for understanding why and how the answer is obtained. Students will be more familiar and shall be able to distinguish between rationals and irrationals with TopperLearning’s NCERT solutions for CBSE Class 9 Maths. Use our doubt solver "Undoubt" feature and get your queries resolved.

Chapter 1 - Number Systems Exercise Ex. 1.4

This part focuses on the process of successive magnification and how real numbers are placed on the number line using successive magnification. There are only two questions in this exercise. A stepwise approach is best for making a CBSE Class 9 Maths student understand this concept. Our subject experts have used the same technique to provide you with the solutions.

Chapter 1 - Number Systems Exercise Ex. 1.5

This exercise targets performing different operations on real numbers to infer if they follow the basic laws of Mathematics. The reference of these properties and operations lays the ground base of understanding advanced academic Mathematics. This exercise comprises 5 questions with some sub-questions. Our subject experts understand what may puzzle the students and hence with each solution, there is a reason or property associated to provide clarity. Our experts will help you with your doubts with our doubt solver "Undoubt".

Chapter 1 - Number Systems Exercise Ex. 1.6

The concept of Laws of Exponents from the lower grades is revised in this exercise. The operation of laws of exponents on real numbers is analysed and assessed with only three questions and some sub-questions. Each of these questions is solved in an elaborated manner accompanied by some formulae from the previous grades for quick revision. This is the last exercise of this chapter after which the student shall have a thorough foundation of the number system.

This indeed is a great kick start for the CBSE syllabus for class 9 Maths. Get your doubts quickly resolved using our doubt solver "Undoubt".

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 2 Polynomials

This chapter recaps your basics about algebraic expressions. Polynomial is a specific type of algebraic expression and so this chapter involves all the terminologies and various operations on it. Our video solutions will be an excellent resort for this chapter from CBSE Class 9 Maths

This chapter is known to have vital importance for high order thinking problems. Our solved CBSE sample paper class 9 and the marking scheme for the questions will help you to understand them. This chapter has five exercises and you can always ask your doubts using our doubt solver "Undoubt" feature where we are available for you round the clock.

Chapter 2 - Polynomials Exercise Ex. 2.1

This exercise gives a basic kick start to understand the concept of Polynomials with TopperLearning’s NCERT solutions for CBSE Class 9 Maths. The questions from this exercise are generally asked as objective questions. The solution to each of the five questions are provided by our subject experts. Many more similar questions are available in our study material along with CBSE sample paper class 9 for deep and extra practice. You can use our doubt solver "Undoubt" feature in case of doubts.

Chapter 2 - Polynomials Exercise Ex. 2.2

Learn to find the value of a polynomial at a given point, verifying zeroes of a polynomial, and finding Zeroes of a polynomial. Use our study material for CBSE Class 9 Maths Polynomials (exercise 2.2 solution. TopperLearning’s audio-video solutions are the best for a stepwise solution. Our doubt solver "Undoubt" provides quick clarification on your doubts.

Chapter 2 - Polynomials Exercise Ex. 2.3

Discover the process of diving polynomials with the Remainder Theorem in CBSE Class 9 Maths textbook solution. These questions are often asked for Board exams. Students can also avail the benefit of referring to the most important questions and the questions asked in previous exercises along with detailed solution with TopperLearning’s study material in the form of CBSE Class 9 Maths Notes and CBSE Class 9 Maths textbook solution. In case if there are any difficulties, use our doubt solver "Undoubt".

Chapter 2 - Polynomials Exercise Ex. 2.4

Dive in deeper for understanding the factorisation process of polynomials with some quirky problems. There are some more questions for assessment available along with revision notes. However, CBSE Class 9 Maths Polynomials exercise 2.4 solution for every question is provided in a detailed manner by our subject experts.

Chapter 2 - Polynomials Exercise Ex. 2.5

The final exercise deals with using algebraic identities with polynomials which are solved in CBSE Class 9 Maths textbook solution. This is a tricky area for students and also a zone for making trivial mistakes. Considering this, a stepwise approach is made available with NCERT solutions for CBSE Class 9 Maths along with a concept insight for perfect clarity to the student. Refer to NCERT solutions for class 9 Mathematics and ace your preparations. Our doubt solver "Undoubt" feature solves all your queries.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 3 Coordinate Geometry

Thoroughly understand the concept of the Cartesian plane with TopperLearning’s NCERT Solutions for CBSE Class 9 Mathematics Chapter 3 Coordinate Geometry. Learn to plot points in a Cartesian plane with our Maths textbook solutions. Our experts include crucial concept insights in these model answers to give you more information for conceptual clarity.

At our e-learning portal, you can find easy-to-use CBSE Class 9 Maths videos, revision notes, and assessment tools that can be accessed at any time. By embarking on a journey to learn Maths on your own using our support resources, you can improve your self-confidence too. However, if you face any problems while understanding chapter concepts, you can seek help from Maths experts at our ‘UnDoubt’ section.

Chapter 3 Coordinate Geometry Exercise Ex 3.1

Coordinate Geometry’s note from CBSE Class 9 Maths notes marks the foundation of a very easy and scoring chapter in CBSE Class 9 Maths textbook solution that has numerous references in higher grades. The questions from this exercise are an introduction to two-dimensional geometry.  The solutions provided are apt and absolutely easy to comprehend with TopperLearning’s CBSE Class 9 Maths solution. Students can tally their solutions and use our doubt solver "Undoubt" feature in case of doubts.

Chapter 3 Coordinate Geometry Exercise Ex 3.2

Learn about the cartesian system and the basic ideas of plotting and location point on the graph with TopperLearning’s CBSE Class 9 Maths solution. This chapter is popular in the multiple-choice question category. Refer to the most important MCQs and related questions asked from TopperLearning’s CBSE Class 9 Maths notes. Our Math experts can assist you with your doubts on our doubt solver "Undoubt".

Chapter 3 Coordinate Geometry Exercise Ex 3.3

Revise using NCERT solutions for CBSE Class 9 Mathematics to gain complete confidence in the final exercise of this chapter with TopperLearning’s CBSE Class 9 Maths solution. Our solutions for the preparation of CBSE online class 9 include conceptual insight to ensure locating the position of an object or a point in a particular plane. Our doubt solver "Undoubt" feature provides help in case of doubts.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 4 Linear Equations in Two Variables

Complete your Maths practice with the help of NCERT Solutions for CBSE Class 9 Mathematics Chapter 4 Linear Equations in Two Variables. TopperLearning’s Maths experts show you the steps to solve real-world problems based on linear equations in two variables. In this chapter, you can revise important concepts to enhance your ability to represent linear equations graphically and algebraically.

Linear equations may be tricky, but you can easily learn about them by watching our CBSE Class 9 Maths video lessons. Also, learn to easily plot graphs of linear equations in two variables with our textbook solutions and other resources for this Maths chapter.

Chapter 4 - Linear Equations in Two Variables Exercise Ex. 4.1

Get acquainted with questions that involve two variables with TopperLearning’s CBSE Class 9 Maths solution. This exercise is quite simple, and our solutions make it simpler to understand them as you prepare for CBSE online class 9. Give a boost to your studies with CBSE Class 9 Maths textbook solution and also refer to our video sessions for precision. Our doubt solver "Undoubt" is what you need when you have queries.

Chapter 4 - Linear Equations in Two Variables Exercise Ex. 4.2

Learn about the kinds of solutions a linear equation with two variables has with TopperLearning’s CBSE Class 9 Maths solution. This concept has reference in higher grade Mathematics. The conceptual insight with each solution and stepwise answer gives a holistic approach as you prepare for CBSE online class 9. Our doubt solver "Undoubt" feature can help in resolving queries.

Chapter 4 - Linear Equations in Two Variables Exercise Ex. 4.3

Get extensive knowledge about plotting equations on a graph with TopperLearning’s CBSE Class 9 Maths solution. TopperLearning video solutions for such problems is highly recommended. Questions from this exercise are often asked for 3-4 marks in the final exam. Make use of our doubt solver "Undoubt" feature and ask your doubts.

Chapter 4 - Linear Equations in Two Variables Exercise Ex. 4.4

The final exercise gives an idea about the solutions of linear equations. Considering the criticality of this chapter, taking our weekly tests and revising using the revision notes and TopperLearning’s CBSE Class 9 Maths solution can be an efficient way to practise. Revise using TopperLearning’s NCERT solutions for CBSE Class 9 Maths as you prepare for CBSE online class 9. Students can tally their solutions and use our doubt solver "Undoubt" feature in case of doubts.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 5 Introduction to Euclid’s Geometry

How to prove that two distinct lines can’t have more than one point in common? Find out by using our NCERT Solutions for CBSE Class 9 Mathematics Chapter 5 Introduction to Euclid’s Geometry. Learn about Euclid’s five postulates. Revisit the relation between theorem and axiom by practising with TopperLearning’s chapter-specific solutions.

Textbook solutions for CBSE Class 9 Maths will be useful when you sit to revise your lessons for class tests or exams. Other than NCERT Maths solutions, our video lessons, chapter notes and online practice tests will help you to understand theorems and postulates.

Chapter 5 - Introduction to Euclid's Geometry Exercise Ex. 5.1

Learn every minute detail about Euclid’s axioms, rules and postulates about geometry and answer the questions with complete precision as you prepare for CBSE online class 9. Our CBSE Class 9 Maths textbook solution helps you understand how to write solutions for each and every question. Our experts can quickly resolve your difficulties or you can use our doubt solver "Undoubt" feature.

Chapter 5 - Introduction to Euclid's Geometry Exercise Ex. 5.2

Dive deep into the concept of Equivalent Versions of Euclid’s Fifth Postulate. Every solution has the detailed method as preferred by the CBSE board. Don’t miss to check out the most important questions and Multiple choice questions from this chapter. It will provide an insight into the question pattern. Direct yourself to our doubt solver "Undoubt" feature in case of doubts.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 6 Lines and Angles

Refer to NCERT Solutions for CBSE Class 9 Mathematics Chapter 6 Lines and Angles on TopperLearning for thorough Maths learning. Get clarity on concepts like linear pairs, vertically opposite angles, co-interior angles, alternate interior angles etc. While practicing the model solutions from this chapter, you will also learn to use the angle sum property of a triangle while solving problems.

Understand the properties of angles and lines by studying the steps used by experts in the NCERT textbook solutions. The skills gained through our CBSE Class 9 Maths chapter resources can benefit you while preparing for your Class 10, Class 11 and Class 12 exams too.

Chapter 6 - Lines And Angles Exercise Ex. 6.1

Learn more about different types of angles and lines along with some axioms and postulates. These basics of Geometry are helpful even in the higher grades. Stepwise solutions with proper reasoning is the key to acing Geometry. Students are often puzzled about the solutions and hence we provide video lessons that clear all your grey areas. It is advisable to attempt the weekly tests and practise questions for clarity. Check your answers and ask your doubts using our doubt solver "Undoubt" feature.

Chapter 6 - Lines And Angles Exercise Ex. 6.2

Apply your understanding of different types of angles and find the answers to the questions asked. TopperLearning’s NCERT solutions for CBSE Class 9 Maths for the chapter Lines and Angles exercise 6.2 give you the method accepted in the CBSE board for writing the solutions. Our doubt solver "Undoubt" feature ensures quick resolution for all your queries.

Chapter 6 - Lines and Angles Exercise Ex. 6.3

Familiarize yourself with the Angle sum property of a triangle. Understand the theorem and its application through our video solutions. The solutions have all the necessary calculations and reasoning. Refer to CBSE Class 9 Maths Chapter 6 exercise 6.3 solution. Get all your concerns sorted with our doubt solver "Undoubt" feature.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 7 Triangles

Do you struggle to prove that the two triangles given in a textbook question are congruent? Do you find it difficult to explain the concept of SSS congruence in a Maths problem? If yes, then our NCERT Solutions for CBSE Class 9 Mathematics Chapter 7 Triangles will be of immense help. These are model answers that Maths experts have developed to help students get conceptual clarity.

TopperLearning’s NCERT textbook solutions are easily available online for students trying to practise and understand the properties of triangles. You can use these chapter solutions along with our practice tests, concept videos, and CBSE Class 9 CBSE sample paper to effectively revise your Maths lessons.

Chapter 7 - Triangles Exercise Ex. 7.1

What are the criteria for proving that two triangles are congruent? How can you apply the test of congruencies to the given triangles? The answers to these questions are provided with apt methodology as accepted by the CBSE board by our subject experts. Refer to NCERT solutions for CBSE Class 9 Maths for Chapter 7 and exercise 7.1. Students can tally their solutions and use our doubt solver "Undoubt" feature in case of doubts.

Chapter 7 - Triangles Exercise Ex. 7.2

Let us understand triangles better with some special properties about different types of triangles proved with basic theorems well explained in our video sessions. Refer to NCERT solutions for CBSE Class 9 Maths after understanding these theorems and clear all your doubts with our special feature “Undoubt” where all your doubts will be catered round the clock.

Chapter 7 - Triangles Exercise Ex. 7.3

The congruency of triangles can be proved through various tests. These tests also are important for higher grade Mathematics hence a strong foundation is mandatory. On referring to NCERT solutions for CBSE Class 9 Maths, do take the weekly test for thorough precision. Our doubt solver "Undoubt" feature takes care of all your doubts.

Chapter 7 - Triangles Exercise Ex. 7.4

The next step is about discussing the inequalities in a triangle and also about proving them. Each theorem has its applications in the questions of the exercise, hence refer to the CBSE Class 9 Maths Chapter 7 exercise 7.4 solution for free textbook solutions. Our doubt solver "Undoubt" feature can help in resolving difficulties instantly. 

Chapter 7 - Triangles Exercise Ex. 7.5

Get to know the in-depth concept about triangles with NCERT solutions for CBSE Class 9 Maths. Do take the weekly test for thorough precision. Although this exercise is optional, it is always wise to have a look at the questions and tally your solutions. Seek help using our doubt solver "Undoubt" feature and math experts will answer all your difficulties.

 

NCERT Solutions for CBSE Class 9 Mathematics chapter 8 Quadrilaterals

Learn to provide Mathematical proofs easily with TopperLearning’s NCERT Solutions for CBSE Class 9 Mathematics Chapter 8 Quadrilaterals. Can a parallelogram be a rhombus? How? Learn by practising with our solutions by Maths experts. Understand how to express your understanding of quadrilaterals such as a parallelogram and rhombus, and provide clear explanations in your answers.

You can score full marks in questions based on quadrilaterals by revising key concepts with our CBSE Class 9 Maths textbook solutions. If you find any of the concepts to be mind-boggling, discuss your doubts with Maths experts through our ‘UnDoubt’ platform.

Chapter 8 - Quadrilaterals Exercise Ex. 8.1

Learn all the basic properties and types of quadrilaterals and boost your score with the help of TopperLearning’s CBSE Class 9 Maths textbook solution. Our experts can quickly resolve your difficulties when you post them on our doubt solver "Undoubt" feature.

Chapter 8 - Quadrilaterals Exercise Ex. 8.2

Understand the midpoint theorem with the help of our video solutions for free textbook solutions and then give your best shot at the solutions of this exercise. Tally your answers with TopperLearning’s CBSE Class 9 Maths textbook solution and use our doubt solver "Undoubt" feature in case of doubts.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 9 Areas of Parallelograms and Triangles

Explore the NCERT Solutions for CBSE Class 9 Mathematics Chapter 9 Areas of Parallelograms and Triangles on TopperLearning for Maths practice. These solutions are carefully written by some of the most respected Maths experts in the country to assist you with the revision of concepts. This chapter gives you complete solutions for questions based on calculating the area of a parallelogram or a triangle according to the given data.

Learn to use constructions such as line segments for finding correct answers in your Maths exam. Our NCERT textbook solutions for CBSE Class 9 Maths will give you clarity on how to go about the constructions according to the given Maths question. In addition, attempt chapter-related questions in our online practice tests and sample question papers for more practice.

Chapter 9 - Areas of Parallelograms and Triangles Exercise Ex. 9.1

Understand the basics of calculating the area for different quadrilaterals with our well-elaborated NCERT solutions for class 9 Mathematics for chapter 9 exercise 9.1. Our experts can quickly resolve your queries on our doubt solver "Undoubt" feature.

Chapter 9 - Areas of Parallelograms and Triangles Exercise Ex. 9.2

How to find the area of a Parallelogram? This question has been answered and explained in our video sessions. Kindly refer them before solving the exercise and follow our well-elaborated approach for solving the exercise with NCERT solutions for CBSE Class 9 Maths. TopperLearning’s doubt solver "Undoubt" feature assures quick assistance to all your doubts.

Chapter 9 - Areas of Parallelograms and Triangles Exercise Ex. 9.3

The process of finding the area of triangles with minimal information along with some theorems shall clear your mind regarding all the associated concepts with TopperLearning’s NCERT solutions for class 9 Mathematics. It is advisable to refer to the most important questions from this chapter from TopperLearning’s study material. Our doubt solver "Undoubt" feature takes care of all your queries.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 10 Circles

Score marks in short answer questions easily by practising with our NCERT Solutions for CBSE Class 9 Mathematics Chapter 10 Circles. Write and practise with TopperLearning’s expert solutions for long answer questions based on chords. By revising a variety of textbook questions, you’ll learn how to prove chord properties in a step-wise format.

With CBSE Class 9 Maths chapter solutions, learn the application of important concepts such as RHS congruence rule, angle sum property of a triangle etc. This knowledge will help you think logically and write correct answers in your Maths exam. Other than expert solutions, you may want to use CBSE sample paper class 9, online mock tests, concept videos etc. to revise circles for exam preparation.

Chapter 10 - Circles Exercise Ex. 10.1

Familiarize yourself to various basic properties and terminologies of a circle from the CBSE Class 9 syllabus. Refer to the CBSE Class 9 Maths Chapter 10 exercise 10.1 solution from free textbook solutions. Ask all your queries on our doubt solver "Undoubt" feature and get it solved by our experts.

Chapter 10 - Circles Exercise Ex. 10.2

Get the complete solution to this short exercise based on the basic theorems with a proper stepwise solution from CBSE Class 9 syllabus. These questions have previously been asked in CBSE board exams. Refer to CBSE Class 9 Maths sample paper to understand the types of questions asked in the exam. Use the doubt solver "Undoubt" feature for all your difficulties.

Chapter 10 - Circles Exercise Ex. 10.3

Practise problems based on properties of the circle regarding chords through TopperLearning’s NCERT solutions for class 9 Mathematics. Our solutions have proper steps and reasoning as accepted by the CBSE board. TopperLearning’s doubt solver "Undoubt" feature provides quick assistance to all your queries.

Chapter 10 - Circles Exercise Ex. 10.4

Discover questions on Equal Chords and Their Distances from the Centre and refer to TopperLearning’s NCERT solutions for class 9 Mathematics detailed stepwise approach-based solutions. It is advisable to refer to the most important questions from this chapter from TopperLearning’s study material. Students can check their solutions and use our doubt solver "Undoubt" feature to ask related queries.

Chapter 10 - Circles Exercise Ex. 10.5

Get introduced to cyclic quadrilaterals and understand all the basic features of it with TopperLearning’s NCERT solutions for class 9 Mathematics. This is the easiest and also the most scoring part of this chapter. Our subject experts have solved these questions with utmost clarity and detailed approach as accepted by the CBSE board. Check your answers and use our doubt solver "Undoubt" feature for any concerns.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 11 Constructions

Learn to draw triangles and bisectors of line segments with TopperLearning’s NCERT Solutions for CBSE Class 9 Mathematics Chapter 11 Constructions. Get step-by-step instructions to construct angles, bisectors and line segments. Revise the chapter solutions to understand how to give an appropriate justification for your construction.

Practise drawing arcs, triangles etc. according to the given data using the CBSE Class 9 Maths textbook solutions created by our subject experts. You can access these solutions any time on our online learning portal to revisit the topic of constructions to do well in your Maths exam.

Chapter 11 - Constructions Exercise Ex. 11.1

Learn how to draw different angles, angle bisectors, perpendicular bisector with TopperLearning’s NCERT solutions for class 9 Mathematics. Our subject experts have not only provided you with the steps of construction but also the justification for each construction for thorough understanding. Students can tally their solutions and use our doubt solver "Undoubt" feature in case of doubts.

Chapter 11 - Constructions Exercise Ex. 11.2

Construct triangles when the measure of angles and side are provided in terms of sums and differences with the CBSE Class 9 Maths textbook solution. Our subject experts have not only provided you with the steps of construction but also the justification for each construction for thorough understanding. Our doubt solver "Undoubt" feature takes care of all your difficulties.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 12 Heron’s Formula

Get answers on Heron’s formula and the applications of Heron’s formula in this chapter. At TopperLearning, find free CBSE Class 9 Maths solutions to the 2 exercises in Chapter 12 from the Maths NCERT textbook. Using Heron’s formula, learn to find the area of triangles and the area of polygons.

Chapter 12 - Heron's Formula Exercise Ex. 12.1

Discover the methodology of calculating the area of a triangle Heron’s formula with TopperLearning’s NCERT solutions for class 9 Mathematics. Make use of our doubt solver "Undoubt" feature for quick assistance on problems by our Math experts.

Chapter 12 - Heron's Formula Exercise Ex. 12.2

Get extensive knowledge about finding the area of a quadrilateral using Heron’s formula with this exercise. TopperLearning video solution for such problems is highly recommended. Questions from this exercise are often asked for 3-4 makes in final exams. Skilled experts address your doubts instantly when you use our doubt solver "Undoubt" feature in case of doubts.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 13 Surface Areas and Volumes

Revise the most important concepts in the chapter with NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes. In this chapter, TopperLearning gives you access to some of the best textbook solutions to understand the surface area of objects and spaces using the given data. Practise calculating the lateral surface area of a cubical box or the CSA of a given cylindrical pipe with our solutions.

On our e-learning portal, we provide free access to NCERT textbook solutions and other CBSE Class 9 Mathematics study materials. To practise Maths, you may refer to our online practice tests, video lessons, practice question papers and more.

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.1

Get acquainted with questions about finding the surface area and volume of a cube and cuboid. This exercise is quite simple, and our solutions make it simpler to understand them. Get a boost in your studies with CBSE Class 9 Maths textbook solution and also refer to our video sessions for a better grip on the concepts. TopperLearning’s doubt solver "Undoubt" feature gives quick assistance to all your queries.

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.2

Solve problems about finding surface area of a Right Circular Cylinder with TopperLearning’s NCERT solutions for class 9 Mathematics. Direct yourself to our doubt solver "Undoubt" feature in case of doubts.

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.3

Learn how to solve questions on finding curved surface and total surface area of a right circular cone with TopperLearning’s NCERT solutions for CBSE Class 9 Maths. Check your solutions and use our doubt solver "Undoubt" feature in case of doubts.

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.4

Practise problems on finding curved surface and total surface area of a sphere and a hemisphere with CBSE Class 9 Maths textbook solution. Use our doubt solver "Undoubt" feature and get your doubts resolved.

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.5

Through TopperLearning’s NCERT solutions for class 9 Mathematics for CBSE Class 9 Maths Chapter 13 exercise 13.9 solution, ace solving questions about the volume of a cuboid.

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.6

Master solving problems about finding the volume of a cylinder with TopperLearning’s NCERT solutions for CBSE Class 9 Maths. Our experts will help you with your doubts with our doubt solver "Undoubt."

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.7

Gain expertise by solving every question on finding the volume of a right circular cone with TopperLearning’s CBSE Class 9 Maths textbook solution. Get your doubts quickly resolved using our doubt solver "Undoubt."

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.8

Compute the volume of a sphere and hemisphere with TopperLearning’s NCERT solutions for class 9 Mathematics. Our doubt solver "Undoubt" provides quick clarification on your doubts,

Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.9

Understand the in-depth concepts of surface areas and volumes in this chapter with NCERT solutions for CBSE Class 9 Mathswhen you take the weekly test. Although this exercise is optional, it is always wise to have a look at the questions and tally your solutions to gauge your preparation.

Revise using NCERT solutions for CBSE Class 9 Mathematics to gain complete confidence in the final exercise of this chapter. Our solutions with conceptual insights will help you locate the position of an object or a point in a particular plane. If there are any difficulties, use our doubt solver "Undoubt".

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 14 Statistics

How is data collected? What are the ways to present data? Discover the answers for these important questions in our NCERT Solutions for CBSE Class 9 Mathematics Chapter 14 Statistics. Practise the presentation of data in the form of histograms and bar graphs with our model answers for questions in the NCERT book.

At TopperLearning, you can access our online NCERT textbook solutions for CBSE Class 9 Maths to revise mean, mode and median calculations. The chapter solutions also show the accurate way to construct a frequency distribution table according to the given information. You can learn statistics on our learning portal through video lessons, online practice tests and other Maths resources as well.

Chapter 14 - Statistics Exercise Ex. 14.1

Learn everything about primary, secondary, grouped and ungrouped data with CBSE Class 9 Maths textbook solution. This chapter lays the foundation for an important concept in Mathematics. Our Math experts can assist you with your doubts on our doubt solver "Undoubt".

Chapter 14 - Statistics Exercise Ex. 14.2

Get extensive knowledge about the classification of grouped and ungrouped data in a frequency with TopperLearning’s NCERT solutions for CBSE Class 9 Maths. TopperLearning’s video solutions for such problems is highly recommended to develop a conceptual understanding of the topic. Questions from this exercise are often asked for 3-4 marks in the final examinations. Use our doubt solver "Undoubt" feature and ask your queries.

Chapter 14 - Statistics Exercise Ex. 14.3

Obtain a detailed methodology of solving questions regarding the graphical representation of data with our NCERT solutions for CBSE Class 9 Maths. Our experts quickly resolve your difficulties whenever you use our doubt solver "Undoubt" feature.

Chapter 14 - Statistics Exercise Ex. 14.4

Understand the process of finding mean, median and mode using different methods in a step-wise approach with TopperLearning’s NCERT solutions for CBSE Class 9 Maths. Check your answers and ask your doubts using our doubt solver "Undoubt" feature.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapter 15 Probability

What’s the probability that a cricketer will hit a boundary? How to find the number of engineers living within a 7-km radius as per the given data? Finding the answers to such questions becomes easy after you practise NCERT Solutions for CBSE Class 9 Mathematics Chapter 15 Probability. TopperLearning’s textbook solutions will help you master the techniques to solve probability exercises from your NCERT book.

Being able to understand probability will improve your logical thinking skills and help you in calculating answers for simple problems easily. Utilise our CBSE Class 9 Maths video lessons and practice tests along with our textbook solutions to revise chapter basics thoroughly.

Chapter 15 - Probability Exercise Ex. 15.1

The most effective source while preparing for CBSE online class 9 is an audio-video study material through our video sessions. TopperLearning’s study material – particularly CBSE Class 9 notes and free textbook solutions – proves to be quite effective in your preparation. Get all your concerns addressed with our doubt solver "Undoubt" feature.

 

CBSE Class 9 Chapter-wise Marks Weightage

TopperLearning has made available an organised method for you to know the chapter-wise marks weightage. This helps in focusing better on the chapters with higher scoring potential. Prepare each of these chapters with TopperLearning’s NCERT solutions for CBSE Class 9 Mathematics and also solve CBSE Class 9 sample paper 2020-21 to gain confidence.

                       

COURSE STRUCTURE CBSE CLASS 9

Units

Unit Name

Marks

I

NUMBER SYSTEMS

08

II

ALGEBRA

17

III

COORDINATE GEOMETRY

04

IV

GEOMETRY

28

V

MENSURATION

13

VI

STATISTICS & PROBABILITY

10

 

Total

80

 

CBSE Class 9 Mathematics – Standard Question Paper (2021-2022)

The paper pattern will help you prepare for exams by focusing on the areas that need more effort. CBSE question papers are designed in a way that assesses the understanding of a student’s grasp of a concept. Hence, we provide you with the paper design along with CBSE Class 9 sample paper 2020-21 to help you score higher marks.

 

 

Sr.

No.

 

Typology of Questions

 

Total Marks

%

Weightage (approx.)

 

 

1

Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.

Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas

 

        43

 

 

54

 

2

Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.

19

24

 

 

 

 

3

Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations

Evaluating: Present and defend opinions by making judgments about information, the validity of ideas, or quality of work based on a set of criteria.

Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.

 

 

 

       18

 

 

 

          22

 

Total

80

100

 

  INTERNAL ASSESSMENT

                            20 MARKS

Pen Paper Test and Multiple Assessment (5+5)

10 Marks

Portfolio

05 Marks

Lab Practical (Lab activities to be done from the prescribed books)

05 Marks

Benefits of NCERT Solutions CBSE Class 9 Maths

You can avail chapter-wise detailed solutions to the questions of the NCERT books with TopperLearning’s NCERT solutions for CBSE Class 9 Maths as per the revised CBSE curriculum. The answers are provided with TopperLearning’s NCERT solutions for CBSE Class 9 Maths have an objective of helping students compare their answers with the sample answers. This will not only help you in acing your grades, but also help build a strong foundation.

The most effective material while preparing for CBSE online class 9 and CBSE Class 9 syllabus is video sessions. This will help any student with the summary of the chapter for a quick revision. TopperLearning’s revision notes also help for your last-minute study preparation.

These notes will help you in each and every step of your preparation. You can refer to the summaries and mind maps for quick revision. There are more than 2,000 questions for your smooth practice associated with various tests for assessing your knowledge. You also have the option of asking your doubts using our ‘Undoubt’ feature, which will give you a quick resolution of your queries. Our experts will help you solve your doubts within 24 hours.

CBSE Class 9 sample paper 2020-21 is a section for assessing the knowledge one has gained using all the above parameters. Solve CBSE Class 9 Maths sample paper to test your skills and compare your solutions.

Why should I get TopperLearning NCERT Solutions for CBSE Class 9?

1. 400+ Video Lectures, 200+ Revision Notes, 12,000+ Question Banks, 50+ CBSE sample paper class 9s

2. Strong Emphasis on latest NCERT 9th Standard Syllabus for 2018–19

3. Doubt Solving by Professionals option available

4. Chapter-wise solutions by experts

5. Free assessment tools & guidance by previous Toppers

6. CBSE Class 9 Preparation tips

7. In-depth understanding of all the concepts

8. Quick revision & improvement in results.

Clear all your doubts instantly at our “Ask Doubt” section, post them and we will resolve them at the earliest. Get expert help and guidance at your comfort. To ask your doubts, click here.

Frequently Asked Questions - CBSE Class 9

1.    Is CBSE Class 9 Maths difficult?

You may find Math difficult only if you are unclear with the concepts. If you keep your basics clear, understand the reason behind each step and practise similar problems, you’ll certainly become more confident.

2.    What kind of paper will I get in my final exams?

CBSE board designs a pattern for schools to follow for terminal and final examinations. Every detail regarding the marking scheme and the paper pattern along with the samples papers is available for reference and practice to make it easier for you.

3.    How can I ask my doubts?

Using our Undoubt feature, you can ask your doubts at any hour and our experts will help you with it.

4.    Will the theorems from geometry also be explained?

Theorems are a significant part of Mathematics. They are often asked in CBSE board exams, so it is necessary to have a grip on them. It best to refer to concept videos in order to have a satisfactory explanation.

5.    How can I practise a particular topic from the CBSE syllabus for class 9 Maths?

Our study material is well equipped with all the textbook solutions. Every chapter has been solved in an apt manner, making it simpler for students to understand. Find just what you need for your preparation at CBSE Class 9 Maths. You may also refer to the CBSE Class 9 Maths sample paper to understand the types of questions asked in the exam.

6.    Can I find the solutions to the deleted syllabus of CBSE Class 9?

Yes. TopperLearning’s study material is well equipped for all kinds of solutions including deleted syllabus of CBSE Class 9. We are completely updated as per the revised CBSE guidelines and can help you with the deleted syllabus of CBSE Class 9.

7.    Can I find solutions for CBSE Class 9 Science?

ToperLearning caters to every need of a student and so the solutions for CBSE Class 9 Science are also available. We also have solutions for CBSE Class 9 English to ensure students are completely prepared for their exams.

8.    Where can I find more questions for practice?

TopperLearning’s study material comprises everything for the CBSE Class 9 syllabus including video sessions, NCERT textbook solutions, revision notes, weekly tests, CBSE Class 9 sample paper 2020-21 and more. You may also refer to CBSE Class 9 notes and find everything that you need.

9.    Are there objective questions with solutions for reference?

Yes. We have the entire CBSE study material as per revised and updated CBSE Guidelines. Refer to CBSE Class 9 syllabus and you will find everything that you need.

10.  Are there any important questions or CBSE sample paper class 9 for school exam preparation?

Yes. We have most important questions for last-minute revision. You may also refer to CBSE Class 9 Maths Sample paper and CBSE Class 9 sample paper 2020-21 to understand the types of questions asked in the exam.