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The Central Board of Secondary Education (CBSE) has released the revised 9th class Maths syllabus for the upcoming academic session for the year 2022-23. The syllabus provides students with a strong foundation in basic mathematical concepts and skills. The topics covered in the syllabus include algebra, geometry, trigonometry, and statistics. The CBSE class 9 maths syllabus also includes a section on data interpretation and analysis. The CBSE class 9 class Maths syllabus also includes Probability, which is the study of chance events.

The Maths syllabus for class 9 is designed in such a way that it forms the foundation for the all-important board exams and competitive exams in the upcoming years. Without mastering these concepts first, you will not be able to ace those exams. For example, when it comes to Distance and Section formulae in class 10, you learn the concepts of Coordinate Geometry in class 9. This means, that if your Maths concepts are strong in class 9 itself, class 10 gets much easier!

CBSE Maths Syllabus For Class 9 follows the Class 9 Maths syllabus of NCERT.

## Detailed Syllabus of Class 9 Maths CBSE

### Chapter 1: Number Systems

Numbers are the building blocks of mathematics. The system or a way of writing and representing numbers is called the number system. Till now you have studied natural numbers, whole numbers, and integers. This chapter introduces you to rational numbers – the numbers written in the form $\frac{p}{q}$ and irrational numbers – the numbers that cannot be represented in the form $\frac{p}{q}$.

In this first chapter of the CBSE class 9 maths syllabus you will also learn about the decimal expansion of rational numbers that are of two types – terminating and non-termination but recurring and the decimal expansion of irrational numbers that are non-terminating and non-recurring.

- Number Line
- Rational Numbers
- Number of Rational Numbers Between Two Rational Numbers
- Irrational Numbers
- Locating Irrational Numbers on a Number Line
- Real Numbers
- Decimal Expansion of Real Numbers – Terminating, Non-Terminating But Recurring, Non-Terminating And Recurring
- Addition of Real Numbers
- Subtraction of Real Numbers
- Multiplication of Real Numbers
- Division of Real Numbers
- Rationalizing the Denominator
- Laws of Exponents for Real Numbers

### Chapter 2: Polynomials

You have studied algebraic expressions and their operations – addition, subtraction, multiplication, and division. Polynomials are algebraic expressions consisting of one or more terms combined together by mathematical operators – +, -, *, and /.

You will learn about different types of polynomials such as monomials, binomials, trinomials, and also linear, quadratic, and cubic polynomials, and the relationship between coefficients of a polynomial and its zeroes.

- Polynomial in One Variable
- Types of Polynomials
- Terms Related With Polynomials – Degree, Coefficients, Terms, Factors
- Zeroes of a Polynomial
- Remainder Theorem
- Factor Theorem
- Factorization of Polynomials
- Algebraic Identities

### Chapter 3: Coordinate Geometry

You have used number lines to represent different types of numbers such as natural numbers, whole numbers, and integers, and know how to locate a point on a number line. In Coordinate geometry, you will learn how to represent a point on a two-dimensional plane – the Cartesian system.

- Cartesian System
- Plotting a Point in Cartesian System

### Chapter 4: Linear Equations in Two Variables

In earlier classes, you learned linear equations in one variable – their form and solutions. Linear equations in two variables are the equations having two variables both having power 1. In this chapter of the CBSE class 9 maths syllabus, you will learn about the general form of linear equations in two variables and their graphs.

- What is Linear Equation in Two Variable?
- Solution of a Linear Equation in Two Variables
- Graph of Linear Equation in Two Variables
- Equation of Lines Parallel to x-Axis and y-Axis

### Chapter 5: Introduction to Euclidean Geometry

In this chapter, you will learn about the basic postulates and axioms of geometry from the book ‘Elements’ compiled by Euclid a Greek mathematician around 300 B.C.E. These postulates and axioms are the building blocks of modern geometry which have wide applications in the fields of art, construction and architecture.

- Definition, Axiom & Postulate
- Euclid’s Axioms & Postulates

### Chapter 6: Lines and Angles

In daily life, you see different types of angles formed by the edges of the objects. In lines and angles, you will learn about two types of pairs of lines – intersecting lines and parallel lines and angles formed by these angles such as complementary angles, supplementary angles, vertically opposite angles, corresponding angles, and linear pairs.

- Intersecting and Non-Intersecting Lines
- Linear Pair
- Parallel Lines and a Transversal
- Angle Sum Property of a Triangle

### Chapter 7: Triangles

You have studied triangles and their different properties in earlier classes. This chapter introduces you to the concept of equality of triangles – congruency. You will learn the meaning of corresponding sides and corresponding angles and the four criteria for two triangles to be congruent – SSS, SAS, ASA, and RHS.

- Congruence of Triangles – SSS, SAS, ASA, RHS
- Inequalities in a Triangle

### Chapter 8: Quadrilaterals

You know about different types of quadrilaterals such as square, rectangle, rhombus, kite, and trapezium. In this chapter of CBSE class 9 maths syllabus, you learn more about special types of quadrilaterals with two pairs of parallel and equal sides known as parallelograms, their properties, and also special types of parallelograms – rectangle, square, and rhombus.

- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Properties of a Parallelogram
- Mid-Point Theorem

### Chapter 9: Areas of Parallelograms and Triangles

The area is the total space occupied by a figure in a 2D plane. You have learned the method and formulae of finding areas of different types of triangles and quadrilaterals. In the chapter, you will learn about figures on the same base and between the same parallel lines and the relation between their areas, especially triangles and parallels.

- Figures on the Same Base and Between the Same Parallels
- Parallelograms on the Same Base and Between the Same Parallels
- Triangles on the Same Base and Between the Same Parallels

### Chapter 10: Circles

In daily life, you come across different types of circular objects such as clock dials, rings, vehicle tyres, etc. In this chapter, you will learn terms related to circles such as chords, arcs, sectors, segments, and their different properties.

- What is a Circle?
- Angle Subtended by a Chord at a Point on a Circle
- Chord and Radius in a Circle
- Equal Chords in a Circle
- Angle Subtended by an Arc in a Circle
- Cyclic Quadrilaterals

### Chapter 11: Constructions

Till now you have drawn geometrical figures while solving problems that are not precise. This chapter introduces you to drawing accurate and precise figures such as lines, angles, and triangles.

### Chapter 12: Heron’s Formula

- Area of Triangles Using Heron’s Formula
- Area of Quadrilaterals Using Heron’s Formula

### Chapter 13: Surface Area and Volume

Till now, you have learned how to find the perimeter and area of figures that can be drawn on paper, i.e 2D figures. This chapter of the CBSE class 9 maths syllabus introduces you to 3D figures commonly known as solid objects and the concept of surface area and volume and how to find the surface area and volume of some basic 3D objects such as cubes, cuboids, cylinders, cones, and spheres.

- Surface Area of a Cube
- Surface Area of a Cuboid
- Surface Area of a Right Circular Cylinder
- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- Volume of a Cube
- Volume of a Cuboid
- Volume of a Right Circular Cylinder
- Volume of a Right Circular Cone
- Volume of a Sphere

### Chapter 14: Statistics

Statistics refers to the study of collecting, analyzing, interpreting, presenting, and organizing data in a particular manner. It is a mathematical discipline where the collection and summarization of data are carried out. In this chapter, you will learn about the meaning and methods of finding measures of central tendencies. The three major central tendencies that you will learn are mean, mode and median.

- Collection and Presentation of Data
- Bar Graphs
- Histogram
- Frequency Polygon
- Mean of Tabulated Data
- Mode of Tabulated Data
- Median of Tabulated Data

### Chapter 15: Probability

Probability in math means the numerical measurement of uncertainty. This chapter introduces you to the experimental or empirical approach to finding the probability of an event.

- Probability – Experimental Approach

## Best Maths Reference Books For Class 9 CBSE

If you are looking for the best Maths reference books for Class 9 CBSE, then this list is for you. Here we have listed some of the best Maths books that will help you score high marks in your exams. These books cover the entire maths 9 class maths syllabus and are a great resource for students who want to excel in this subject. In this list, we will recommend three of the best math reference books for CBSE class 9 maths syllabus students who are following the CBSE curriculum.

- The first book on our list is “Mathematics for Class 9” by R.D. Sharma. This book is considered to be one of the best math reference books for 9th grade students because it covers all the topics in detail and also provides solved examples to help students understand the concepts better.

- The other math reference book for 9th grade students is CBSE One For All Class 9 English, Science, Social Science & Mathematics (Set Of 4 Books) (For 2023 Exam) by Oswal Publications. It provides questions to students generally asked in math curriculum grade 9 examinations.

- CBSE All in One Mathematics Class 9 2022-23 Edition Paperback by Brijesh Dwevedi, Jitendra Gupta of Arihant Publications help students with their math curriculum grade 9 tests and exams on preparation by providing complete theory, practice, and assessment as per new issued pattern for excellent academic results.

## Prescribed Books For Class 9 By CBSE

## CBSE Maths Syllabus For Class 9 Pdf

The Central Board of Secondary Education (CBSE) is a national-level board of education in India for public and private schools, controlled and managed by the Union Government of India.

Class 9 is an important class for students as it is the foundation for their future studies. In order to help students perform well in their exams, the CBSE has released the Maths Syllabus for Class 9. The syllabus covers all the important topics that will be taught in CBSE class 9 maths syllabus.

Based on the CBSE class 9 Maths syllabus, we have created this detailed and beautiful PDF which you can download and refer to anytime. This PDF not only covers the full list of chapters and topics within each chapter, but it also has a list of resources that parents, teachers, and students will find very helpful. So, go ahead and download this CBSE Maths Syllabus For Class 9 PDF.

## Summary

The CBSE 9th Class Maths Syllabus has been designed to provide a strong foundation in the subject and prepare students for higher-level courses.

The syllabus covers a wide range of topics, from basic algebra and geometry to more advanced concepts such as coordinate geometry and statistics.

Overall, the CBSE 9th Class Maths Syllabus provides a well-rounded education in mathematics that will give students the skills they need to succeed in higher-level courses.