# NCERT Solutions

## Maths-9th Class

NCERT Solutions for Class 9 maths contains the solutions for all the questions given in the NCERT textbook for Class 9 Maths. Eduauraa allows students to download a PDF of the chapter-wise solution to the textbook from the website without any registration requirements. The NCERT solutions for class 9 maths cover all the topics that are included in the NCERT textbook like the Number System, Coordinate Geometry, Quadrilaterals, Triangles, Circles, Construction, Volume, and Surface Area, Probability, etc.

The regular practicing of the NCERT solutions will allow students to attend all the questions with confidence and ace any examination. Moreover, our solutions help students understand all the concepts, theorems, and formulas while implementing them to solve all necessary problems beyond the textbook solutions. Our CBSE class 9 solutions are designed by expert teachers in a well-structured format that helps students with a proper understanding. The solutions will also help students develop a proper foundation for all higher studies.

Besides our CBSE NCERT Solutions for Class 9 Maths, we also provide a range of online study materials, notes, question papers, exemplar problems, and worksheets for the students to practice and improve their mathematical skills. Our study materials are designed according to the CBSE curriculum that provides the students with the idea of the question pattern and exam format for their final exam.

### The Chapter include (Chapter-wise):

CHAPTER 01
Number System
CHAPTER 02
Polynomials
CHAPTER 03
Coordinate Geometry
CHAPTER 04
Linear Equations in Two Variables
CHAPTER 05
Introduction to Euclids Geometry
CHAPTER 06
Lines and Angles
CHAPTER 07
Triangles
CHAPTER 08
CHAPTER 09
Areas of Parallelograms and Triangle
CHAPTER 10
Circles
CHAPTER 11
Constructions
CHAPTER 12
Heron’s Formula
CHAPTER 13
Surface Areas and Volumes
CHAPTER 14
Statistics
CHAPTER 15
Probability

### NCERT Solutions for Class 9 Mathematics Chapter-Wise Brief

NCERT Class 9 Mathematics solutions are designed in a chapter-wise manner to understand the students better to follow. These solutions serve as an essential tool for studying that ensures optimal marks in the examinations.

Here is a brief of all the chapters in the NCERT Class 9 textbook:

### Chapter 01 : Number System

The chapter talks about number systems and all topics that revolve around numbers including rational numbers and irrational numbers. The chapter has six exercises that provide topic-wise questions to practice. Other topics that are included in the chapter are integers, the number line, square roots, laws of integral powers, etc.

### Chapter 02 : Polynomials

The chapter discusses a specific type of algebraic expression called the Polynomials and other terminologies related to it. The chapter teaches you about the subtraction, multiplication, non-negative integer exponents of variables and addition,. Additionally, the chapter talks about the Remainder Theorem and Factor Theorem that allow the factorization of polynomials. You will come across several terms like degrees, coefficients, zeros, etc. The chapter has five exercises and deals with monomials, binomials, trinomials, and polynomials.

### Chapter 03 : Coordinate Geometry

The chapter on coordinate geometry deals with the concepts of the cartesian plane. Coordinate points of XY plane, notations of the coordinate plane, quadrants, origin points, and more. There are three exercises in the chapter that deal with individual concepts and practice problems.

### Chapter 04 : Linear Equations in Two Variables

Linear equations deals with the concept of ax + by + c = 0. Students will also learn about equations with more than one variable and graph plotting in this chapter. The chapter consists of four exercises with individual concepts.

### Chapter 05 : Introduction to Euclids Geometry

Euclid's Geometry links present-day geometry with Euclid's approach to geometry. The chapter talks about concepts that include terms like axiom, postulates, and theorem that are divided into two exercises for practice.

### Chapter 06 : Lines & Angles

Lines and eagles deal with basic geometric lines, angles, types of angles, and line angle interactions. The chapter is divided into three exercises for practicing all concepts related to angles, measuring of angles, adjacent angles, parallel lines, alternate angles, corresponding angles, vertices, opposite angles, line intersections, etc.

### Chapter 07 : Triangles

The chapter teaches students about the several properties of triangles, inequalities in triangles, and rules of congruence. The chapter is divided into five exercises that deal with several levels of problems that include the application of theorems and laws to solve "to-prove" questions. The chapter consists of several theorems that require consistent practice and memorization for proper application.

### Chapter 08 : Quadrilaterals

A quadrilateral is a figure made by the joining of four points. The chapter consists of laws and theorems regarding quadrilaterals. Moreover, the chapter also teaches about the properties of quadrilaterals and types of quadrilaterals. The chapter is divided into two exercises that deal with problems regarding the theorems and their applications.

### Chapter 09 : Areas of Parallelograms & Triangle

This chapter deals with the calculation of the area and perimeter of parallelograms and triangles. The chapter provides four exercises that provide questions that need you to prove certain inequalities or equalities in geometric figures and find the areas at the time. The chapter also deals with SIMILARITIES OF TRIANGLES

### Chapter 10 : Circles

This chapter deals with several topics like Equal Chords and their respective distances from the Centre, the Angle Subtended by an Arc of a Circle, and many more. The chapter is divided into six exercises that allow students to practice all the concepts and develop all the skills necessary. There are several theorems, proves, and solutions for you to practice to ensure a better understanding of geometry.

### Chapter 11 : Constructions

Construction is one of the most interesting chapters that involve the use of the geometry box to construct shapes of different dimensions. The chapter includes the use of geometric tools to draw angles, bisectors of angles, construction of triangles, and parallelograms.

### Chapter 12 : Heron’s Formula

Heron's Formula is used to determine the area of a triangle from the length of the three sides. This method does not include the consideration of the angles which provides an easy way to calculate the areas of other geometric figures like quadrilaterals and polygons.

### Chapter 13 : Surface Areas and Volumes

The chapter deals with the calculation of the volume and surface area of three-dimensional figures. The chapter is divided into eight exercises that include different solids such as cuboids, spheres, hemispheres, cylinders, cones and cubes.

### Chapter 14 : Statistics

Statistics include the study of extracting meaningful information from a collection of data. The chapter lets students learn about the measures of central tendency, mean, median, mode of raw data. The chapter is divided into four exercises that include several problems related to these concepts.

### Chapter 15 : Probability

The chapter provides you experimental outcomes of events and occurrences. Students can learn to measure the chances of an occurrence under certain situations through experiments. The chapter has only one exercise that covers several real-life incidents to pique the interest of students.

### Benefits of Choosing Eduauraa NCERT Maths Solutions for Class 9

The NCERT solutions offer a wide range of features which are mentioned below:
● The solutions provide easy steps for students to understand the concepts easily.
● Students can access the solutions free of cost and clear all their doubts about topics.
● We provide exercise-wise PDFs that help students with efficient solutions to practice.
● The detailed explanations help students to develop keen problem-solving skills and provide them with the ability to learn the concepts easily.
● The questions are solves with the easiest methods and formulas.
● Diagrams are given in the solutions to help students visualize the solutions for easy understanding.

### CBSE Class 9 Maths Exam Pattern

The CBSE board exams conduct an examination of 80 marks for theory and 20 marks for internal assessment. Understanding the exam pattern will allow students to have an idea of how to approach the exam paper and optimize their marks gained in the examination. The sample papers and marking schemes are released by the CBSE board that helps students practice before the examinations. About 25% of the theory paper is mainly objective type.

During the examination,students should always try to attend to the questions with more weightage and then move on to the questions with lower weightage.This ensures securing better marks for the examination. Additionally,this helps the students to cover the important concepts and improve their confidence to attempt all the other sections easily.

### Why choose Eduauraa?

Eduauraa provides NCERT Solutions for class 9 mathematics that ensure the better development of skills and a mathematical foundation for the students to perform well in examinations and higher studies.We provide free PDFs for the solutions that the students can download without registration. Our solutions are designed by expert mathematics teachers with well-structured solutions that help in easy understanding of all theorems, formulas, and concepts. Additionally. Our detailed solutions help students approach the math problems with confidence ensuring better marks in the examinations.

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### FAQ's

##### 1

How to master Class 9 Maths CBSE?

Solving all the questions from the NCERT textbook is a crucial and important step to score well in maths. The textbook is designed by experts who have vast knowledge about the respective subject. The question papers made are vastly covering the topics in the book. Solving the questions in the textbook will give students a good idea of what kind of questions will come in the exam, along with good practice

##### 2

Should I practice NCERT Solutions for Class 9 Maths regularly?

Students should study and practice NCERT solutions regularly. This will help them have a better knowledge of fundamental concepts. These similar concepts would be continued in higher classes as well. The solutions are meant to be understood as a major guideline on how to score well.

##### 3

What is the best reference book for Class 9 Maths students?

The NCERT Solutions for Class 9 Maths can be found in multiple reference books. It is important to understand that it is more about practicing a multitude of questions to have a hold on what kind of sums might be thrown your way. This can be found through multiple books on the market, including a thorough understanding of the NCERT textbook itself.