# NCERT Solutions for Class 9 Maths CBSE

Our NCERT solutions for Class 9 Maths are useful for comparing your version of answers to the textbook questions. The answers are prepared by our experts as per the CBSE exam guidelines, enabling you to get the necessary support 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.

## NCERT Solutions for Class 9 Maths

**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**

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**

Maths Class 9 solutions for Chapter 3 has answers to three exercise questions. Understand how to work with the 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.

**Chapter 5 - Introduction to 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**

Class 9 Maths solutions for this chapter helps you confidently answer the NCERT textbook questions on topics such as parallel lines, co-interior angles, transversals, angle sum property of a triangle etc. You will learn how to provide the proofs for theories related to vertically opposite angles, angles of a triangle and more.

**Chapter 7 - Triangles**

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 will have to use for proving the data given in the questions.

**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.

**Chapter 9 - Areas of Parallelograms and Triangles**

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**

Find solutions on chords of a circle, properties of equal chords and cyclic quadrilaterals. You will 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.

**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 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 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 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**

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.

## 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 practice to remember your lessons.

## Frequently Asked Questions - CBSE Class 9

**Why should I study from NCERT solutions?**

NCERT solutions provide answers to each and every textbook question, which is a good way to get acquainted with the chapter.

**Will CBSE Class 9 Maths help me in other exams?**

The topics and concepts that you will study now will come in handy in other competitive exams such as JEE, IAS and NDA.

**Is it important to practise Maths?**

Since Maths is an application-based subject, it cannot be memorised. Therefore, it is essential that you practise Maths every day, especially the difficult chapters.

**Is there a time-limit to accessing the study materials?**

The study material at TopperLearning is always available on the website and there is no restriction on accessing the study material. It is a portal that is active 24/7.

**Does TopperLearning clear doubts too? **

If you have any doubts regarding any topic, you can leave your doubt in the ‘Doubts and Solutions’ section. Your query will be answered within 24 hours by our experts.

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