# NCERT Solutions For Class 9 Maths

NCERT Solutions for Class 9 Maths All Chapters includes solutions to all the questions given in the NCERT textbook for Class 9th. You can download PDF of each chapter for free through our app. All these solutions are designed and prepared by our subject experts. These solutions are updated as per the latest NCERT books and CBSE guidelines.

### NCERT Solutions For CBSE Class 9 Maths Chapter-wise Discussion

To ensure that it is easily understood by the students, our teachers designed NCERT Class 9 Maths solutions in a well-structured manner. Regular practice of these solutions improves your marks in the exam. Download today the NCERT Class 9 Maths solutions as free PDF through our app to enhance your marks.

#### Chapter 1 Number System

In previous classes, you have learned about number lines. This chapter extends the topic and explains the number systems in detail. The chapter has a total of six exercises that explains topics like real numbers, decimal numbers. Along with this, you will also know about the laws of exponents and integral power.

• Exercise 1.1
• Exercise 1.2
• Exercise 1.3
• Exercise 1.4
• Exercise 1.5
• Exercise 1.6

#### Chapter 2 Polynomials

This chapter helps you to understand the algebraic expressions called polynomials. It has five exercises, and each exercise has plenty of problems to solve. Topics like zeroes of a polynomial, remainder theorem, factorisation of polynomials, and algebraic identities are explained in this chapter.

#### Chapter 3 Coordinate Geometry

Chapter 3 has a total of exercises on it. In this chapter, you will learn about the cartesian plane, coordinate, and various terms associated with the cartesian system. Further, you will learn how to plot coordinates in the XY plane.

• Exercise 3.1
• Exercise 3.2
• Exercise 3.3

#### Chapter 4 Linear Equations in Two Variables

Linear equation in two variables is a new topic introduced in the NCERT class 9 maths textbook. With a total of four exercises, the chapter includes a lot of problems related to linear equations. In this chapter, you will learn about solutions and graphs of linear equations, etc.

#### Chapter 5 Introduction to Euclid’s Geometry

The chapter called Euclid’s geometry starts with an introduction that includes short information about our Indian geometry. The chapter has two exercises on it. In this chapter, you will know about the relationship between axiom, postulates, and theorems.

• Exercise 5.1
• Exercise 5.2

#### Chapter 6 Lines and Angles

As the name suggests, the chapter deals with lines and angles. This chapter explains the intersecting and non-intersecting lines, pairs of angles, parallel lines, angle sum property of a triangle, etc. The chapter contains three exercises that include a lot of problems related to the topics mentioned above.

#### Chapter 7 Triangles

You have already read about triangles in your previous classes. In this chapter, you will learn about the congruence of triangles, criteria for congruence of triangles and some properties of a triangle. In the end, the chapter explains the inequalities in a triangle.

A closed figure obtained by joining four sides is known as a quadrilateral. This chapter contains only two exercises. However, there are nine theorems and many problems related to quadrilaterals that you need to solve.

• Exercise 8.1
• Exercise 8.2

#### Chapter 9 Areas of Parallelograms and Triangles

As the name suggests, this chapter explains the areas related to parallelogram and triangles and their combinations. Further, the chapter includes a few theorems along with their proofs that are essential for solving the exercise problems.

#### Chapter 10 Circles

In this chapter, you will learn about some important topics like angle subtended by a chord at a point, circle through three points, Equal Chords and their Distances from the Centre, Angle Subtended by an Arc of a Circle and Cyclic Quadrilaterals.

#### Chapter 11 Constructions

In this chapter, you will learn how to construct basic figures using a compass and ruler. The chapter has only two exercises. The first exercise deals with the construction of a certain angle and the bisector of a given angle while the second exercise deals with the constructions of triangles for given parameters.

#### Chapter 12 Heron’s Formula

There are two exercises in this chapter. In the first exercise, you will learn how to calculate the area of triangles by Heron’s formula while in the second you will learn applications Heron’s formula in finding the areas of quadrilaterals.

#### Chapter 13 Surface Areas and Volumes

This chapter is the lengthiest chapter of your NCERT class 9 maths textbook. There are a total of nine exercises in this chapter. Here you will learn how to calculate the areas and volumes of a cube, cuboid, right circular cone, right circular cylinder, sphere and their combinations.

#### Chapter 14 Statistics

Statistics is defined as the collection of data on different aspects of the life of people. In this chapter, you will learn how to present and interpret a group of data. Further, you will learn how to represent a collection of data using different graphs such as Bar graphs, Histograms, Frequency polygons etc.

#### Chapter 15 Probability

The chances of occurrence of an event are known as probability. The value of probability lies between 0 and 1. In this chapter, you will learn to calculate the chance of occurrence of a particular outcome in an experiment. This chapter has only one exercise, and the problems in this exercise are related to real-life situations.

• Exercise 15.1

Here in this article, we have discussed each chapter of NCERT class 9 maths textbook and provided their solutions. If you find any error in our solutions, please let us know about it by commenting below. Also, share your experience with our site and suggest how can we improve our contents in the feedback form. We always love to hear from you.

### Frequently Asked Questions on NCERT Solution for Class 9 Maths

#### How many chapters are present in NCERT Class 9 Maths?

A total of 15 chapters are 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- 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 are the chapters in Class 9 of NCERT Maths.

#### Is it important to practice NCERT Maths?

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

#### 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.

#### Key advantages of NCERT Solutions for Class 9 Maths Chapter 1- Number Systems

• NCERT Solutions for Class 9 Maths helps you solve and revise the whole syllabus of class 9.
• After going through the step-wise solutions given by our subject expert teachers, you will be able to score more marks.
• It follows NCERT guidelines.
• It contains all the important questions from the examination point of view.
• It helps in scoring well in Maths in board exams. 