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CBSE Syllabus for Class 9 Maths

Frequently Asked Questions

The syllabus includes six major units: Number Systems Algebra Coordinate Geometry Geometry Mensuration Statistics

In Class 9 CBSE Maths, several chapters are commonly considered challenging.Geometry, specifically Triangles and Circle theorems, is often a difficult topic for many students.. Additionally, Surface Area and Volumes, Constructions, and Statistics can also present challenges.

NCERT solutions provide step-by-step answers to textbook problems, helping students understand problem-solving methods clearly and prepare for exams effectively.

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CBSE Class 9 Maths Syllabus - Revised [2026-27]

Entering Class 9 is a significant academic transition, especially in Mathematics. From algebra and geometry to data handling and newly introduced concepts, the CBSE Class 9 Maths syllabus lays a strong foundation for higher-level learning. The CBSE Class 9 Maths Syllabus 2026–27 has been revised in alignment with the National Education Policy (NEP) 2020 and NCF-SE 2023, with a clear focus on conceptual understanding, problem-solving, and real-life application of mathematical concepts.

Whether your goal is to score high marks, prepare for Olympiads, or build a solid conceptual base, understanding the syllabus is the first step. In this guide, we break down the complete CBSE Class IX maths syllabus along with marks weightage, key topics, and useful tips to help you not just pass but excel in your exams.

1.0Overview of the CBSE Syllabus for Class 9 Maths

The CBSE syllabus of class 9 mathematics is framed in a manner that it develops and challenges the logical reasoning, problem-solving ability and application-based knowledge of students. The syllabus comprises 2 parts, i.e., Term 1 and Term 2 of a total of 15 chapters

  1. Orienting yourself:The use of coordinates
  2. Introduction to Linear polynomials
  3. The world of numbers
  4. Exploring algebraic identities
  5. Im up and down ,and round and round
  6. Measuring space :perimeter and area
  7. The mathematics of maybe:Introduction to probability
  8. Predicting what comes next:exploring sequences and progressions
  9. Introduction to Euclid’s Geometry: Axioms and Postulates
  10. Lines and Angles
  11. Triangles: Congruence Theorems
  12. Quadrilaterals
  13. Linear Equations in Two Variables
  14. Mensuration: Surface Area and Volume
  15. Statistics

2.0Detailed CBSE Class 9 Maths Syllabus 2026-27 - Revised

The CBSE Class 9 Maths Syllabus 2026–27 follows the latest NCERT curriculum and focuses on building conceptual understanding, logical reasoning, and problem-solving skills. The revised syllabus adopts a competency-based approach, helping students develop analytical thinking and apply mathematical concepts to real-life situations.

Term 1 Class 9 Maths Syllabus:

Chapter Name

Key Topics

  1. Orienting Yourself – The Use of Coordinates
  • Brief history of coordinate geometry.
  • The 2-D Cartesian Coordinate System.
  • Distance between two points in the 2-D plane.
  • Midpoint of the distance between two points in the 2-D plane.

2: Introduction to Linear Polynomials

  • Algebraic expressions.
  • Definition of a polynomial: Degree of a polynomial.
  • Introduction to linear polynomials and applications.
  • Exploring linear patterns.
  • Modeling linear growth and linear decay.
  • Linear relationships.
  • Visualising linear relationships.
  • Slope and y-intercept of a line y = ax + b.

3: The World of Numbers:

  • Introduction to rational numbers
  • Representation of rational numbers on the number line
  • Density of rational numbers and its proof
  • Finding rational numbers between any two rational numbers
  • Decimal representation of rational numbers
  • Introduction to irrational numbers
  • Proof of irrationality of √2 and √3
  • The square root spiral

4: Exploring Algebraic Identities

  • Revisiting algebraic identities
  • Visualising identities using geometric models
  • Factorisation of algebraic expressions using identities
  • More identities and their applications
  • Visualising factorisation of quadratic expressions through algebra tiles
  • Factorisation without using algebra tiles
  • Finding new identities
  • Simplifying rational expressions

5: I'm Up and Down, and Round and Round

  • Practical applications and uses of circles
  • Definitions related to a circle—centre, diameter, radius
  • Chords and the angles they subtend
  • Midpoints and perpendicular bisectors of chords
  • Distance of chords from the centre
  • Angles subtended by an arc
  • Cyclicity of points

6: Measuring Space – Perimeter and Area

  • Perimeter of shapes
  • Perimeter of a circle: Introduction to π and its irrationality
  • Length of an arc
  • Area of shapes: rectangles, parallelograms, triangles
  • Heron's formula
  • Squaring a rectangle: Proof from Baudhayana's Sulbasutras
  • Area of a circle: derivation
  • Area of the sector of a circle
  • Brahmagupta's formula for area of a cyclic quadrilateral
  • Heron's formula as a special case of Brahmagupta's formula
  1. The Mathematics of Maybe – Introduction to Probability
  • Concept of probability and randomness
  • The probability scale
  • Empirical probability: analysing statistical data and performing experiments
  • Theoretical probability: sample space and events
  • Representing probability through tree diagrams and tables

8: Predicting What Comes Next – Exploring Sequences and Progressions

  • Introduction to sequences
  • Explicit or general rule of a sequence
  • Recursive rule of a sequence
  • Arithmetic progressions: (n^\text{th}) term, visualising an AP, practical contexts leading to APs
  • Sum of the first (n) natural numbers
  • Geometric progressions: (n^\text{th}) term, visualising a GP, practical contexts leading to GPs
  • Applications of GP in fractals

Term 2 Class 9 Maths Syllabus:

Chapter Name

Key Topics

9: Introduction to Euclid’s Geometry: Axioms and Postulates

  • History of Geometry
  • Constructing a square with a given side as described in the Baudhayana's Sulbasutras
  • Discovering Euclid's definitions
  • Axioms: Axioms of measurement and Rules for geometric objects

10: Lines and Angles

  • Rays and angles
  • Measures of angles
  • Intersecting lines and angles
  • Pairs of angles
  • Theorems and examples on intersecting lines
  • Theorems and examples on parallel lines
  1. Triangles: Congruence Theorems
  • Practical applications and uses of triangles
  • Conditions of congruence of triangles and their proofs
  • Theorems on triangles
  • Propositions and converse of a proposition
  • Problems based on applications of theorems on triangles
  1. Quadrilaterals
  • Properties of parallelograms
  • Important theorems related to parallelograms and their proofs
  • The midpoint theorem and its applications
  • Understanding the notion of central symmetry in the context of parallelograms
  1. Linear Equations in Two Variables
  • Introduction to linear equations in two variables through practical examples
  • Solution of linear equations in two variables: Graphical representation
  • Slope-intercept form of linear equations in two variables
  • Drawing graphs of linear equations when x- and y-axes assume only certain values
  • Pair of linear equations in two variables
  • Graphical method for solving a pair of linear equations in two variables
  • Nature of solutions: Consistency and inconsistency
  • Algebraic methods of solving a pair of linear equations: Method of substitution and method of elimination
  1. Mensuration: Surface Area and Volume
  • Surface areas and volumes of spheres (including hemispheres) and right circular cones.

15: Statistics

  • Graphical representation of data.
  • Measures of Central tendency.

3.0Internal Assessment Scheme

The internal assessment system makes learning math not merely a matter of memorising formulas. It is an excellent means of testing the performance of the student in terms of consistency, comprehension, and applicability of concepts during the entire academic year instead of one final examination. This is a detailed insight into how 20 marks of internal assessments are allocated:

INTERNAL ASSESSMENT

20 MARKS

Pen Paper Test and Multiple Assessment (5+5)

10 Marks

Portfolio

05 Marks

Lab Practical (Lab activities to be done from the prescribed books)

05 Marks

4.0Chapter-wise Weightage of CBSE Class 9 Maths - Old Syllabus

All class 9 maths topics are distributed in equal amounts to meet the final exam criteria of 80 marks, along with an internal assessment of 20 marks. Here is a chapter-wise explanation of all these topics included under the Class 9 syllabus:

Unit

Topics Covered

Weightage

(Marks)

Unit I: Number System

  • Number System

7

Unit II: Algebra

  • Polynomials
  • Sequences & Progressions
  • Algebraic Identities
  • Linear Equations in Two Variables

20

Unit III: Coordinate Geometry

  • Coordinate Geometry

4

Unit IV: Geometry

  • Euclid’s Geometry
  • Lines & Angles
  • Triangles
  • Quadrilaterals
  • Circles

25

Unit V: Mensuration

  • Area & Perimeter
  • Surface Area & Volume

14

Unit VI: Statistics & Probability

  • Statistics
  • Probability

10

Total

80 Marks

5.0Detailed CBSE Class 9 Maths Syllabus (Old)

Number System

  • Number system deals with different types of numbers such as rational and irrational numbers.
  • It helps in understanding how numbers are represented on the number line.
  • It includes properties of real numbers.
  • It forms the base for many further mathematical concepts.

Polynomials

  • Polynomials are algebraic expressions made using variables and constants.
  • They are studied according to their degree and number of terms.
  • This chapter introduces operations on polynomials.
  • It helps in solving algebraic expressions and equations.

Sequences and Progressions

  • This chapter deals with number patterns arranged in a specific order.
  • It includes arithmetic progression and related formulas.
  • Students learn how to find the nth term and sum of terms.
  • It is useful in identifying regular patterns in numbers.

Algebraic Identities

  • Algebraic identities are standard equations that are always true.
  • They are used to simplify expressions quickly.
  • This chapter helps in factoring and expanding algebraic expressions.
  • It is widely used in higher mathematics.

Linear Equations in Two Variables

  • This chapter studies equations having two variables.
  • The solutions of such equations are pairs of values that satisfy the equation.
  • It introduces graphing of straight lines.
  • It is important for understanding coordinate geometry and graphs.

Coordinate Geometry

  • Coordinate geometry connects algebra with geometry.
  • It uses coordinates to locate points on a plane.
  • Students learn about the x-axis, y-axis, and quadrants.
  • It helps in representing geometric figures mathematically.

Euclid’s Geometry

  • This chapter introduces the basic principles of geometry.
  • It is based on Euclid’s definitions, axioms, and postulates.
  • Students learn about logical reasoning and proof.
  • It forms the foundation of classical geometry.

Lines and Angles

  • This chapter explains different types of lines and angles.
  • It includes properties of intersecting lines and parallel lines.
  • Students learn angle relations such as supplementary and corresponding angles.
  • It helps in solving geometric problems using angle properties.

Triangles

  • Triangles are three-sided closed figures.
  • This chapter studies their properties and types.
  • It includes congruence and inequalities of triangles.
  • It is one of the most important chapters in geometry.

Quadrilaterals

  • Quadrilaterals are four-sided polygons.
  • This chapter covers their properties, angles, and special types.
  • Students learn about parallelograms, rectangles, squares, and rhombuses.
  • It helps in understanding geometric relationships among four-sided figures.

Circles

  • A circle is a set of points at a fixed distance from the center.
  • This chapter studies chords, arcs, tangents, and secants.
  • It explains important circle theorems.
  • It is useful in both theoretical and practical geometry.

Area and Perimeter

  • This chapter deals with measuring the boundary and surface of plane figures.
  • Students learn formulas for different shapes.
  • It helps in solving real-life measurement problems.
  • It is important for understanding spatial measurement.

Surface Area and Volume

  • This chapter studies three-dimensional figures.
  • It includes formulas for surface area and volume of solids.
  • Students learn about cubes, cuboids, cylinders, cones, and spheres.
  • It is useful in practical applications involving space and capacity.

Statistics

  • Statistics is the study of data collection, organization, and interpretation.
  • It includes measures like mean, median, and mode.
  • Students learn to present data using tables and graphs.
  • It helps in analyzing information in daily life.

Probability

  • Probability deals with the chance of an event occurring.
  • It helps predict possible outcomes in experiments.
  • Students learn to calculate probability in simple situations.
  • It is widely used in games, science, and decision-making.

6.0CBSE Class 9 Syllabus: Other Subjects

CBSE Class 9 Hindi Syllabus

CBSE Class 9 Maths Syllabus

CBSE Class 9 English Syllabus

CBSE Class 9 Science Syllabus

CBSE Class 9 Social Science Syllabus

7.0Beyond NCERT: Your Power-Pack Toolkit for Class 9 Maths

The 9th class brings a fundamental shift in the way we learn maths, from elementary arithmetic to more systematic, concept-based learning by introducing new subjects. Keeping up with these changes is not possible with textbooks alone; this is where intelligent study and its tools can help. Let's see these intelligent tools to transcend textbooks:

  1. Learning Through NCERT Solutions: The most difficult task in practising class 9th maths is the NCERT itself. To solve these, attempt the book problems with the step-by-step NCERT solutions, which can be found online or in several help books.
  2. Help Books By CBSE:

NCERT Exemplar: NCERT Exemplar is tailor-made for students looking to solve tough, application-based problems, which are ideal for solving the critical thinking part of the CBSE maths exam.

Support Material: Authored by government schools, these books carry additional questions, a synopsis, sample papers, and CBSE class 9 maths exam previous year question papers. Students also have the option to download the e-books from online sites.

  1. Reference Books: There are several reliable reference books for the practice of advanced and difficult problems of algebra, geometry, and other important subjects. Some of the most preferred among students as well as instructors are: 

RD Sharma's Mathematics Class 9, 

RS Aggarwal's Math series, and 

Arihant's All-in-One Mathematics Class 9th

  1. PYQs and Sample Papers: Practising previous year question papers and sample papers is the wisest option to become acquainted with the exam pattern and a live exam experience. This is also helpful in time management, helping students to complete the question paper within the given time frame.
  2. Notes & Formula Banks: Notes and formula banks are the real lifesaver on exam day. It assists in rapid revision of formulas and key concepts of class 9th maths.

8.0Best Exam Preparation Tips

  • Master the Basics: Prioritise learning basic concepts prior to diving into challenging problems. A good foundation translates to easy problem-solving.
  • Syllabus Breakup: Divide chapters into weekly goals in order to finish the syllabus regularly without anxiety.
  • Regular Practice: Try many types of questions every day, especially word problems and application-type questions, to improve your skills.
  • Use Multiple Textbooks: Supplement the textbook—use NCERT Exemplar, RD Sharma, or RS Aggarwal for more practice material given above for better concept-building.
  • Take Speedy Revision Notes: Take short note-taking and formula sheets for each chapter to facilitate easy last-minute revision.
  • Practice with a Timer: Practice previous year question papers and sample papers on a timer to enhance time management and speed.
  • Learn from Mistakes: Review your errors after each practice test to avoid repeating them in the actual exam.
  • Clear Doubts Promptly: Don’t ignore confusing topics—ask teachers or refer to solution guides or videos for clarification.
  • Stay Consistent and Calm: Work according to a daily routine, don't study at the last moment, and take breaks to refresh your mind and concentration.

Looking for a high score in the 9th class maths exam? The first step is always to understand the new syllabus — master it, plan according to it, and create your ideal study plan.

Subject-wise CBSE Syllabus

CBSE Class 10 Hindi Syllabus

CBSE Class 10 Maths Syllabus

CBSE Class 10 English Syllabus

CBSE Class 10 Science Syllabus

CBSE Class 10 Social Science Syllabus

CBSE Class 9 Hindi Syllabus

CBSE Class 9 Maths Syllabus

CBSE Class 9 English Syllabus

CBSE Class 9 Science Syllabus

CBSE Class 9 Social Science Syllabus

CBSE Class 8 Hindi Syllabus

CBSE Class 8 Maths Syllabus

CBSE Class 8 English Syllabus

CBSE Class 8 Science Syllabus

CBSE Class 8 Social Science Syllabus

CBSE Class 7 Maths Syllabus

CBSE Class 7 English Syllabus

CBSE Class 7 Science Syllabus

CBSE Class 7 Social Science Syllabus

CBSE Class 6 Hindi Syllabus

CBSE Class 6 Maths Syllabus

CBSE Class 6 English Syllabus

CBSE Class 6 Science Syllabus


CBSE Class-wise Syllabus

CBSE Class 10 Syllabus

CBSE Class 9 Syllabus

CBSE Class 8 Syllabus

CBSE Class 7 Syllabus

CBSE Class 6 Syllabus

CBSE Class 11 Syllabus

CBSE Class 12 Syllabus