NCERT Solutions for Class 9 Maths CBSE

One of the greatest challenges to score good marks in the exams is writing complete answers. With TopperLearning’s NCERT solutions for Class 9 Maths, you can go through questions and answers as per the latest CBSE syllabus. As you may know, NCERT textbooks are prescribed by CBSE for Class 9 study and exam preparations.

Our NCERT solutions for Class 9 Maths are useful for comparing your version of answers to the textbook questions. With accurate answers prepared by our experts as per the CBSE exam guidelines, you get the necessary support and guidance while revising your Maths lessons.

Our free textbook solutions can be easily accessed through our intuitive student dashboard on the TopperLearning portal. Other than the CBSE Class 9 Maths solutions, you can also check our NCERT solutions for other subjects at TopperLearning. By utilising our Class 9th Maths NCERT solutions, easily grasp concepts in Class 9 Mathematics and excel in your final exams.

At TopperLearning, expert mathematicians and educators prepare chapter-wise answers as per the NCERT Class 9 textbook. These answers will help you to understand how to write a complete answer for scoring full marks. Also, concept notes are added with certain Math solutions for conceptual clarity. With CBSE Class 9 Maths, you get the ideal exam prep e-learning resource which can help you to get over your fear of the subject.

Read  more

NCERT Solutions Maths

Mathematics - IX 2019

NCERT Solutions for Class 9 Maths

The NCERT solutions serve as a valuable Maths guide for Class 9. The Mathematics chapters covered in the NCERT solutions for CBSE Class 9 students are as follows:

Chapter 1 - Number Systems

This chapter covers concepts such as rational numbers, irrational numbers, laws of exponents, real numbers and representation of numbers on a number line. There are a total of 6 exercises in Chapter 1 which includes representation of non-terminating recurring decimals and terminating recurring decimals on the number line. You will also learn the law of integral powers in this chapter. 

Chapter 2 - Polynomials

NCERT solutions for Class 9 Maths Chapter 2 takes you through the different types of polynomials like trinomials, monomials, linear polynomials, constant polynomials and more. In the CBSE Class 9 Chapter 2 on polynomials, discover concepts such as factor theorem, algebraic identities of quadratic polynomials, split the middle theorem, algebraic identities for cubic polynomials, etc.

Chapter 3 - Coordinate Geometry

NCERT Maths Class 9 solutions for Chapter 3 carries answers to 3 exercise questions. Understand how to work with an XY plane. Also, learn about plotting points correctly on a graph paper with accurate names and notations. Find answers to the NCERT textbook questions from this chapter on understanding the Cartesian plane.

Chapter 4 - Linear Equations in Two Variables

In this chapter, get expert answers on forming linear equations, solving linear equations and providing a graphical representation of linear equations. Learn the equation ax + by + c = 0 in two variables with our NCERT solutions for Class 9 Maths Chapter 4. To understand linear equations, revise the solutions for the exercise questions in this chapter.

Chapter 5 - Introduction to Euclids Geometry

Find CBSE Class 9 Maths solutions for questions based on Euclid’s Geometry. Learn to write answers on topics such as axioms, postulates and more. In this chapter, you will be able to find out how Euclid’s Geometry can be used for defining geometrical shapes.

Chapter 6 - Lines and Angles

There are 2 exercises in Chapter 6. Use our CBSE Class 9 Maths solutions for this chapter to confidently answer the NCERT textbook questions on topics such as parallel lines, co-interior angles, transversals, angle sum property of a triangle etc. You’ll learn how to provide the proofs for theories related to vertically opposite angles, angles of a triangle and more.

Chapter 7 - Triangles

In this chapter, our experts have covered topics such as isosceles triangle, congruence of geometric figures, inequalities in a triangle etc. There are two theorems in this chapter which you’ll have to use for proving the data given in the questions. Our Class 9th Maths NCERT solutions will help you with the answers for the 5 exercises in your Maths textbook. 

Chapter 8 - Quadrilaterals

Get solutions related to parallelograms, angles in parallelograms, diagonal properties of parallelograms and mid-point theorem in this chapter. NCERT solutions for Class 9 Maths Chapter 8 can be used to understand the properties of quadrilaterals. Find solutions to application-based questions and conceptual questions from this chapter in our NCERT Maths Class 9 solutions.

Chapter 9 - Areas of Parallelograms and Triangles

Get answers for all the exercises from this chapter by our expert teachers. Chapter 9 gives you a detailed explanation of the concept of area. Find answers for questions related to area of regions, area of parallelograms and area of triangles with the expert CBSE Class 9 Maths solutions for this chapter.

Chapter 10 - Circles

In this chapter, find solutions on chords of a circle, properties of equal chords and cyclic quadrilaterals. You’ll get to learn about topics such as the angle subtended by an arc of a circle, the angle subtended by a chord at a point etc. Also, get answers to the 6 exercises from Chapter 10 in our CBSE Class 9 Maths solutions.

Chapter 11 - Constructions

Learn the construction of triangles in this chapter. Find out about bisectors of a line segment. Understand how to measure 45-degree, 60-degree and 90-degree angles while studying the topic of constructions. Get answers to the 2 exercises from this chapter in our NCERT solutions for Class 9 Maths Chapter 11. There are 5 questions each in the 2 exercises for this chapter.

Chapter 12 - Herons 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 area of polygons.

Chapter 13 - Surface Areas and Volumes

Learn the concepts of the surface area of a cone, cuboid, cylinder etc. by practising the NCERT solutions from this chapter. Our NCERT solutions for Class 9 Maths Chapter 13 will also help you understand the problems related to the surface areas and volumes of cones, cuboids, cylinders and more.

Chapter 14 - Statistics

Find out how you can group enormous data into a tabular form and also learn about the measures of central tendency through this CBSE Class 9 chapter. NCERT solutions for Class 9 Maths Chapter 14 can be used as a reference for learning concepts such as mean, mode and median. Also, understand how to represent data through bar graphs, histograms etc.

Chapter 15 - Probability

Have you ever wondered about all the possible results when you roll a dice or the chances of you getting heads when you toss a coin? Learn about the techniques that are used to find probable answers for simple events by studying this interesting chapter on Probability. Understand the concept of the experimental approach in probability. To get assistance in answering the exercise questions from Chapter 15, use our CBSE Class 9 Maths solutions.

Experience the best learning with TopperLearning study materials

TopperLearning’s NCERT solutions for Class 9 Maths are among the preferred study materials by CBSE Class 9 students. So, why do students prefer CBSE Class 9 Maths solutions on TopperLearning.com? The answer is simple. On our e-learning portal, you get free Class 9th Maths NCERT solutions prepared by qualified teachers. These solutions are available to you in a chapter-wise format which makes it easy for speedy revision before mock tests or the final exam.

NCERT Maths Class 9 solutions allow you to complete your entire syllabus without getting overwhelmed by the vast CBSE Class 9 Mathematics syllabus. You can revise the solutions for a single chapter at a time. Once you finish revising all the solutions from our NCERT solutions, you can go back to those chapters which have a high weightage of marks and are among the toughest chapters for you.

Experts at TopperLearning put in their best efforts to ensure that your answers are updated as per the latest exam guidelines and the CBSE Class 9 Mathematics syllabus. You can utilise our solutions to practise concept-based and application-based questions easily. For extra practice, you can benefit from our sample papers. Try solving the questions in the sample papers and find out how well you are able to answer the questions. With TopperLearning’s Class 9 Maths sample paper questions, you’ll be able to check your answers with the accurate steps present in the answers written by experts.

If you need help with learning specific concepts such as irrational numbers, transversals, congruence of geometric figures, right circular cone etc., you should check our CBSE Class 9 Maths video lessons. Along with our CBSE Class 9 Maths solutions, you can also watch the entire Maths lecture series to learn the Maths chapters that make you sweat with nervousness. There are more than a hundred video lessons by some of the best tutors in India at TopperLearning for you to study Maths. Our Maths tutors explain the concepts in a simplified manner to make it easy for you to learn concepts.

TopperLearning video lectures are available as per the topics covered in the latest CBSE Class 9 Mathematics syllabus. You just need a laptop, tablet or smartphone to watch the lectures whenever you want and wherever you want. These lectures are accessible 24/7 on our portal in a chapter-wise sequence. We have placed our e-learning resources in a chapter-wise format so that you can quickly start a chapter from where you left off.

Also, when preparing for a school test on a chapter, you can directly visit the NCERT solutions for Class 9 Maths, video lessons or other resources for that particular chapter. Rewind or repeat to watch the video lessons whenever you want to study the difficult topics. Then, come back to the NCERT Maths Class 9 revision notes. Continued practice of Maths questions and answers will prepare you for the exams. Also, if Maths is your favourite subject, then you can use the resources at TopperLearning to prepare for school-level local and international Maths competitions.

So, relax and enjoy learning Maths with TopperLearning’s study materials. Study the theorems in your syllabus and practise the techniques to apply those theorems. Construct geometrical shapes and prepare graphs with accurate labelling as shown by our experts. Our Maths experts are qualified and experienced Maths educators who support you with learning materials such as the Class 9th Maths NCERT solutions and solve your doubts in the ‘Undoubt’ section.

Get an edge with TopperLearning

We also have TopperLearning’s NCERT solutions for Class 10 Maths can make learning Class 10 Maths simpler for you. There are several interesting concepts that can be learned through your CBSE Class 9 Maths syllabus. Study how to use data in the raw form and make sense of it visually by drawing graphs through our NCERT solutions for Class 9 Maths Chapter 14.

Understand factor theorems and coefficient of a polynomial by reviewing our NCERT solutions for Class 9 Maths Chapter 2. Our CBSE Class 9 Maths solutions are available free of cost for you to utilise whenever you need them. A good grasp of Class 9 concepts will strengthen your basics and will give you the ability to understand the concepts that will be introduced in CBSE Class 10. The Class 9 Maths syllabus is vast and may not be an easy task to complete quickly. You can study the NCERT textbook lessons and then attempt the exercises at the end of each chapter for practising Maths.

The purpose of the CBSE Class 9 Maths solutions is to give you an idea of how to apply the concepts learned in each chapter. While practising NCERT questions, you may get stuck in areas where you are either unsure about the solution or find it difficult to even attempt the question. In such scenarios, you gain an edge with our Class 9th Maths NCERT solutions. Our model answers for textbook questions will guide you with the methods to solve textbook questions that you may find difficult to solve.

NCERT solutions for Class 9 Maths is a ready reference for which you do not have to spend any money. Our free access to NCERT solutions can come in handy while attempting textbook questions that are part of your homework. The aim of the CBSE Class 9 Maths solutions is to support you in understanding the methods to solve Maths problems. If you know the method to solve a certain type of problem, you’ll be able to solve similar problems in your final exam and score better marks.

Why NCERT Solutions for Class 9 Maths are important?

The National Council of Educational Research and Training (NCERT) publishes the reference textbooks for CBSE students. These textbooks have exercises at the end of each chapter. You can get all the NCERT Maths solutions for Class 9 at TopperLearning. From Heron’s formula to Euclid’s Geometry, learning NCERT Maths Class 9 topics becomes easier using NCERT solutions. To plan your Class 9 study schedule for each chapter, you will find that the chapter-wise solutions are invaluable.

CBSE Class 9 Mathematics is not only essential for your final exams but also for competitive exams such as JEE, IAS and NDA. The NCERT textbook solutions for CBSE Class 9 Mathematics will strengthen the foundation of your Maths learning. There is a wide range of concepts that you will learn in Class 9 including linear equations, construction, triangles and so on. Once the lessons are completed in the school lectures for one chapter, you still need to constantly practise to remember your lessons.

Also, there are other subjects that you need to learn in school. Maths is one of the crucial subjects and you may need to add more time in your study schedule for Maths practice. Unlike theoretical subjects, Maths solutions cannot be mugged up. Memorising answers won’t be of any use in your exam because you will get similar questions with different numbers or data for calculations. If you are a student who is scared of Maths, then the number of chapters in your syllabus might make you all the more nervous.

You don’t have to worry about Maths now because our team of expert Mathematics educators have prepared the best e-learning materials for your reference. You do not have to feel pressurised with the textbook questions in your syllabus. There are a set of exercise questions for each chapter in your NCERT Maths Class 9 textbook which CBSE recommends for study reference. Earlier, the challenge for students was to go through the chapter or look online for finding the right solutions for those exercise questions. Now, you can save time and effort in searching for textbook solutions with our NCERT solutions for Class 9 Maths. These solutions are arranged chapter-wise so that you can study one Maths chapter at a time.

To make you feel comfortable with Mathematics, we have e-learning resources such as most CBSE Class 9 Maths Most Important Questions (MIQs), multiple choice questions (MCQs) and subjective questions. Self-assessment is an important part of learning. To assess your knowledge, you can take CBSE Class 9 Maths weekly tests. You can choose a time that’s convenient for you to take our online tests.

Once you start to feel confident solving CBSE Class 9 Maths Multiple Choice Questions (MCQs) problems, you’ll start gaining the skills that will ease your nervousness on the exam day. If you can answer the questions well in your Class 9 exams, you’ll be able to comfortably prepare for your Class 10 Board exams as well as various competitive entrance exams. Along with NCERT solutions, TopperLearning also gives you access to a wealth of learning resources through a personalised student dashboard. Millions of students use TopperLearning to gain conceptual clarity and to prepare well for the exams. You can also enjoy the benefits of quick access to high-quality e-learning materials by TopperLearning for support and guidance with your studies.

Make use of resources such as CBSE Class 9 Maths subjective questions, MIQs, practice tests, sample question papers, and more to prepare for your Class 9 Maths exams. Ask questions for free at TopperLearning and get your queries/doubts answered by our Maths experts. Although our NCERT solutions for Class 9 Maths are presented in a step-wise format, you may still have queries. Whenever you sit to practise answers from our Class 9 Maths NCERT solutions, note down your doubts. Ask those specific doubts in our ‘Undoubt’ section, and our expert Math teachers will respond to your questions at the earliest.