CBSE Class 9 Maths Syllabus

Unit	Unit Name	Section
I	Number System	Real Numbers
II	Algebra	Polynomials Linear Equations in Two Variables
III	Coordinate Geometry	Coordinate Geometry
IV	Geometry	Introduction to Elucid’s Geometry Lines and Angles Triangles Quadrilaterals Circles
V	Mensuration	Areas Surface areas and volumes
VI	Statistics	Statistics

CBSE Class 9 Maths Syllabus Chapter 1 – Real Numbers

The first chapter of CBSE Class 9 syllabus chapter 1 is Real Numbers. In this chapter students will learn about the techniques of representing numbers on the number line with specific rules and symbols that is known as the number system. A number line is an illustration of numbers placed on a straight line with a predetermined space between them. The Chapter 1 Number system can be used for a variety of mathematical operations, including counting the number of chocolates left in the box and performing complex scientific calculations.
The given below table shows the topics that are included in Chapter 1, Real Numbers.

• 1.1 Introduction
• 1.2 Irrational Numbers
• 1.3 Real Numbers and Their Decimal Expansions
• 1.4 Representing Real Numbers on the Number Line
• 1.5 Operations on Real Numbers
• 1.6 Laws of Exponents for Real Numbers
• 1.7 Summary

CBSE Class 9 Maths Syllabus Chapter 2 – Polynomial

The CBSE Class 9 Maths Syllabus covers polynomials, which is an important chapter. The word “polynomial” is derived from the terms “poly,” which means “many,” and “nominal,” which means “term.” A polynomial expression in mathematics consists of two variables: indeterminates and coefficients.
Algebraic expressions and polynomials are made up of numbers and letters, with operations like adding, subtracting, multiplying, and raising to powers. The only difference is that in algebraic expressions, the powers can include irrational numbers.
You can read the given below table to read the topics included in Polynomials.

Chapter 2 Polynomials

• 2.1 Introduction
• 2.2 Polynomials in One Variable
• 2.3 Zeros of a Polynomial
• 2.4 Remainder Theorem
• 2.5 Factorization of Polynomials
• 2.6 Algebraic Identities
• 2.7 Summary

CBSE Class 9 Maths Syllabus Chapter 3 – Coordinate Geometry

Understanding coordinate geometry for CBSE class 9 is important because it helps us find points on a plane using graphs. It’s a mix of geometry and algebra, using lines and curves to connect points. We use a system called the Cartesian system, which has two perpendicular lines called axes. Points on the plane are located by their coordinates, which are like addresses. We learn how to plot these points on the axes, which are divided into four sections called quadrants, each with its own signs. This knowledge is useful not just in math but also in subjects like calculus and trigonometry.
Check the given below tables to learn the topics included in Coordinate Geometry

Chapter 3 Coordinate Geometry.

• 3.1 Introduction
• 3.2 Polynomials in One Variable
• 3.3 Zeros of a Polynomial
• 3.4 Summary

Also Read: Extra Questions for Class 9 Maths with Solutions Chapter Wise

CBSE Class 9 Maths Syllabus Chapter 4 – Linear Equation in Two Variables

The introduction of the two-variable linear equation is recalled from the one-variable linear equation in the CBSE Class 9 Maths Syllabus. Concentrate on linear equations of the form ax+by+c=0. Prove that a linear equation in two variables has an infinite number of solutions. Provide the solutions and show where they fall on a line, a graph of linear equations in two variables, to support their representation as ordered pairs of real numbers. Real-world issues involving proportion and ratio, as well as concurrent algebraic and graphical solutions, are examples.
Read the table that is given below this shows the topics included in

Chapter 4 Linear equation in two variables

• 4.1 Introduction
• 4.2 Linear Equations
• 4.3 Solution of a Linear Equation
• 4.4 Graph of a Linear Equation in Two Variables
• 4.5 Equations of Lines Parallel to X-axis and Y-axis
• 4.6 Summary

Also Read: NCERT Books Class 9

CBSE Class 9 Maths Syllabus Chapter 5 – Introduction to Euclid’s Geometry

Geometric mathematicians study the various sizes and shapes we encounter on a daily basis. The Greek mathematician Euclid created new postulates, definitions, and axioms for geometry. The introduction to the chapter on Euclid’s geometry in the CBSE Maths Syllabus discusses Euclid’s method of geometry and how it relates to contemporary geometry.
Check the given below tables to show the topics that are included in

Chapter 5 Introduction to Euclid’s Geometry.

• 5.1 Introduction
• 5.2 Euclid’s Definitions, Axioms, and Postulates
• 5.3 Equivalent Versions of Euclid’s Fifth Postulate
• 5.4 Summary

CBSE Class 9 Maths Syllabus Chapter 6 – Lines and Angles

Shapes are mostly made up of lines and angles. When two rays meet at a point, it forms an angle, and the point where they meet is called the vertex. A line is a collection of points that stretches infinitely in both directions but has no width.
In the CBSE Class 9 Maths Syllabus, we learn about different types of lines and angles. This includes understanding parallel lines (lines that never intersect), angles formed when a line crosses another line (transversal angles), lines that intersect each other, and the angles formed within shapes. We’ll explore these concepts with examples in this article.
Read the table below to show the topics included in

Chapter 6 Lines and Angles

• 6.1 Introduction
• 6.2 Basic Terms and Definitions
• 6.3 Intersecting Lines and Non-intersecting Lines
• 6.4 Pairs of Angles
• 6.5 Parallel Lines and a Transversal
• 6.6 Lines Parallel to the same Line
• 6.7 Angle Sum Property of a Triangle
• 6.8 Summary

CBSE Class 9 Maths Syllabus Chapter 7 -Triangles

The concepts covered in the Triangles section of the CBSE Class 9 Maths Syllabus are important since they are utilised in higher education. For this reason, it is important that students fully comprehend the subject. The following concepts are covered in the “Triangles” chapter of the class 9 NCERT maths textbook.

The subjects covered in Chapter 7 Triangles, are displayed in the tables below.

• 7.1 Introduction
• 7.2 Congruence of Triangles
• 7.3 Criteria for Congruence of Triangles
• 7.4 Some Properties of a Triangle
• 7.5 Some More Criteria for Congruence of Triangles
• 7.6 Inequalities in a Triangle
• 7.7 Summary

CBSE Class 9 Maths Syllabus Chapter 8 – Quadrilaterals

A shape with four sides is known as a quadrilateral. In the chapter on Quadrilaterals of the CBSE Class 9 Maths Syllabus, students will learn the various forms of quadrilaterals, rectangles, including square, and parallelogram attributes, are mentioned in detail.
The topics covered in Chapter 8 Quadrilaterals, are displayed in the tables below.

• 8.1 Introduction
• 8.2 Angle Sum Property of a Quadrilateral
• 8.3 Types of Quadrilaterals
• 8.4 Properties of a Parallelogram
• 8.5 Another Condition for a Quadrilateral to be a Parallelogram
• 8.6 The Mid-point Theorem
• 8.7 Summary

CBSE Class 9 Maths Syllabus Chapter 9 Areas of Parallelograms and Triangles

In CBSE Class 9 Maths, Chapter 9 covers “Areas of Parallelograms and Triangles.” This chapter introduces students to the methods for calculating the areas of parallelograms and triangles. They learn about the basic concepts and formulas required to find the area of these two-dimensional shapes. Understanding this topic is crucial for further exploration in geometry and real-life applications involving area calculations.

Chapter 9 Areas of Parallelograms and Triangles

• Area of a parallelogram
• Area of a triangle
• Properties of parallelograms
• Proofs of area formulas
• Applications of area formulas

CBSE Class 9 Maths Syllabus Chapter 10 – Circles

Every point forms a circle with every point being the same distance from a fixed point. We study more about the various components of a circle and the theorems that go along with them in this chapter.

Chapter 10 Circles

• 9.1 Introduction
• 9.2 Circles and its Related Terms – A Review
• 9.3 Angle Subtended by a Chord at a Point
• 9.4 Perpendicular from the Centre to a Chord
• 9.5 Circle through Three Points
• 9.6 Equal Chords and their Distances from the Centre
• 9.7 Angle Subtended by an Arc of a Circle
• 9.8 Cyclic Quadrilaterals
• 9.9 Summary

CBSE Class 9 Maths Syllabus Chapter 11 Constructions

Chapter 11, “Constructions,” introduces students to geometric construction techniques using tools like compasses and straightedges. It covers creating precise figures, angles, and shapes, including bisecting angles and constructing perpendicular and parallel lines. These skills are essential for understanding geometry and problem-solving in mathematics. The given table below shows the topics included in

Chapter 11 Constructions

• Bisecting angles and segments
• Constructing perpendicular lines
• Constructing parallel lines
• Copying angles and segments
• Constructing basic geometric shapes
• Using compass and straightedge

CBSE Class 9 Maths Syllabus Chapter 12 – Heron’s Formula

In this chapter you’ll learn about Heron’s formula, which helps find the area of triangles. It’s a way to calculate the space inside a triangle using its side lengths. This formula comes in handy when you know the lengths of all three sides of a triangle. It’s especially useful when the triangle isn’t right-angled. With Heron’s formula, you can easily figure out the area without needing the height or base of the triangle.
The given table below shows the topics included in

Chapter 12 Heron’s Formula

• 10.1 Introduction
• 10.2 Area of a Triangle – by Heron’s Formula
• 10.3 Application of Heron’s Formula in finding Areas of Quadrilaterals
• 10.7 Summary

Also Check: CBSE Class 9th Blueprint 2024

CBSE Class 9 Maths Syllabus Chapter 13 – Surface areas and volumes

In this chapter you’ll learn about finding the surface area and volume of 3D shapes. Surface area is split into curved surface, lateral surface, and total surface. You’ll study shapes like cubes, cuboids, cones, and cylinders and how to calculate their surface area and volume.

The table given below shows the topics included in Chapter 13 Surface Area and Volume.

• 11.1 Introduction
• 11.2 Surface Area of a Cuboid and a Cube
• 11.3 Surface Area of a Right Circular Cylinder
• 11.4 Surface Area of a Right Circular Cone
• 11.5 Surface Area of a Sphere
• 11.6 Volume of a Cuboid
• 11.7 Volume of a Cylinder
• 11.8 Volume of a Right Circular Cone
• 11.9 The Volume of a Sphere
• 11.10 Summary

CBSE Class 9 Maths Syllabus Chapter 14 – Statistics

The study of collecting, presenting, interpreting, and analysing data is the main focus of the field of statistics. We study more about the fundamentals of statistics in this chapter.

Read the given below table that show the topics included in Chapter 14 Statistics.

• 12.1 Introduction
• 12.2 Collection of Data
• 12.3 Presentation of Data
• 12.4 Graphical Representation of Data
• 12.5 Measures of Central Tendency
• 12.6 Summary

Also Check: CBSE Worksheets for Class 9

CBSE Class 9 Maths Syllabus Chapter 15 – Probability

In CBSE Class 9 Maths, Chapter 15 delves into “Probability.” This chapter introduces students to the concept of probability, which is the likelihood of an event occurring. Students learn about different types of events, calculating probabilities, and understanding the basic principles of probability theory. Probability plays a crucial role in various fields such as statistics, economics, and decision-making processes.

Important topics covered in this Chapter 15 Probability are:

• Introduction to probability
• Basic terminology: Sample space, events, and outcomes
• Types of events: Sure, impossible, and equally likely events
• Calculating probabilities using classical approach
• Empirical probability and its calculation
• Understanding experimental outcomes and their probabilities
• Simple problems on probability

NCERT Solutions for Class 9 All Subjects

• NCERT Solutions for Class 9 Maths
• NCERT Solutions for Class 9 Science
• NCERT Solutions for Class 9 Social Science
• NCERT Solutions for Class 9 English

Frequently Asked Questions

What topics are covered in CBSE Class 9 Maths Syllabus?

The CBSE Class 9 Maths Syllabus covers various units including Number System, Algebra, Coordinate Geometry, Geometry, Mensuration, and Statistics.

How can students prepare effectively for CBSE Class 9 Maths?

Students can prepare effectively by understanding the concepts thoroughly, covering the entire syllabus, practicing problems from the textbook, and familiarizing themselves with the exam pattern.

What are some key chapters in the CBSE Class 9 Maths Syllabus?

Key chapters include Real Numbers, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Triangles, Quadrilaterals, Circles, Heron’s Formula, Surface Areas and Volumes, and Statistics.

Are the Class 9 NCERT Math textbooks compatible with the CBSE Math Class 9 Syllabus?

Yes, the Class 9 NCERT Math textbooks are specifically designed to align with the CBSE Math Class 9 syllabus. They cover all the topics and concepts prescribed by the CBSE board, ensuring compatibility with the syllabus.

Is maths in class 9 simple or difficult?

The complexity of math in Class 9 can vary depending on individual understanding and aptitude. Some students may find it relatively simple, while others may perceive it as challenging. However, with consistent practice and understanding of fundamental concepts, it can become more manageable.

How can I effectively study math in Class 9?

To study math effectively in Class 9, it's essential to understand the concepts thoroughly rather than rote memorization. Practice regularly, solve problems from textbooks and reference materials, seek clarification for doubts, and use visual aids or online resources for better comprehension.