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NCERT Syllabus for Class 9 Maths 2025-26 - Download Latest Syllabus PDF

NCERT Syllabus for Class 9 Maths 2025-26 - Download Latest Syllabus PDF

Edited By Komal Miglani | Updated on Apr 09, 2025 11:12 AM IST

Having good knowledge of the NCERT Syllabus for Class 9 Maths is crucial for performing well in Class 9 for the students. In this article of Careers360, the students are provided with the insights of the class 9 Maths syllabus, along with the various topics asked under the class 9 NCERT Maths syllabus. In comparison with the other classes, the NCERT Maths class 9 syllabus may seem broad and slightly confusing. Also, the various topics of the NCERT syllabus for class 9 Maths is an extension of the topics already learnt by the students in the prior classes. Therefore, the students with less conceptual clarity may find the NCERT class 9 Maths syllabus 2025-26 difficult. But worry not, Careers360 is there to help them out.

This Story also Contains
  1. NCERT Class 9 Maths Chapters and Topics
  2. NCERT Class 9 Syllabus 2025-26 for Other Subjects
  3. Mark Distribution for NCERT Class 9 Maths
  4. NCERT Class 9 Maths Book
  5. Other NCERT Books for Class 9
  6. NCERT Solutions for Class 9 Maths
  7. NCERT Notes for Class 9 Maths
NCERT Syllabus for Class 9 Maths 2025-26 - Download Latest Syllabus PDF
NCERT Syllabus for Class 9 Maths 2025-26 - Download Latest Syllabus PDF

This article contains links to various topic pages written by Mathematics subject matter experts and contains the study links to all the topics of the class 9 Maths syllabus. This includes topics such as Number Systems, Polynomials, Lines and Angles, Circles and so on. Having a sound knowledge of the class 9 NCERT Maths syllabus is important for the students to perform well in the class 9th examination. This can also help the students to perform well in other Olympiads and talent search exams.

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NCERT Class 9 Maths Chapters and Topics

The NCERT Class 9 Book contains a total of 12 chapters under 6 units. The table below gives an overview on the topics covered in each chapter of the syllabus.

Chapter No.

Chapter Name

Topics Covered

1

Number Systems

  • Introduction

  • Irrational Numbers

  • Real Numbers and Their Decimal Expansions

  • Operations on Real Numbers

  • Laws of Exponents for Real Numbers

2

Polynomials

  • Introduction

  • Polynomials in One Variable

  • Zeroes of a Polynomial

  • Factorisation of Polynomials

  • Algebraic Identities

3

Coordinate Geometry

  • Introduction

  • Cartesian System

4

Linear Equations in Two Variables

  • Introduction

  • Linear Equations

  • Solution of a Linear Equation

5

Introduction to Euclid’s Geometry

  • Introduction

  • Euclid’s Definitions, Axioms and Postulates

6

Lines and Angles

  • Introduction

  • Basic Terms and Definitions

  • Intersecting and Non-intersecting Lines

  • Pairs of Angles

  • Lines Parallel to the Same Line

7

Triangles

  • Introduction

  • Congruence of Triangles

  • Criteria for Congruence of Triangles

  • Some Properties of a Triangle

  • More Criteria for Congruence of Triangles

8

Quadrilaterals

  • Properties of a Parallelogram

  • The Mid-point Theorem

9

Circles

  • Angle Subtended by a Chord at a Point

  • Perpendicular from the Centre to a Chord

  • Equal Chords and their Distances from the Centre

  • Angle Subtended by an Arc of a Circle

  • Cyclic Quadrilaterals

10

Heron’s Formula

  • Area of a Triangle using Heron’s Formula

11

Surface Areas and Volumes

  • Surface Area of a Right Circular Cone

  • Surface Area of a Sphere

  • Volume of a Right Circular Cone

  • Volume of a Sphere

12

Statistics

  • Graphical Representation of Data

NCERT Maths Class 9 syllabus: Unit-wise Chapters

The list of chapters under each unit of the NCERT syllabus class 9 Maths is given below for the reference of the students.

Unit

Chapters

Unit I: Number Systems

  • Number Systems

Unit II: Algebra

  • Polynomials

  • Linear Equations in Two Variables

Unit III: Coordinate Geometry

  • Coordinate Geometry

Unit IV: Geometry

  • Introduction to Euclid’s Geometry

  • Lines and Angles

  • Triangles

  • Quadrilaterals

  • Circles

Unit V: Mensuration

  • Heron’s Formula

  • Surface Areas and Volumes

Unit VI: Statistics


  • Statistics

NCERT Class 9 Syllabus 2025-26 for Other Subjects

Performing only for the Mathematics subject alone is not enough for the students during their class 9th. They should also prepare for the various other subjects to ensure a good overall percentage which is essential for securing admissions for higher classes. The students can also read the syllabus of other subjects in Class 9:


Mark Distribution for NCERT Class 9 Maths

The Class 9 Mathematics examination pattern includes 80 marks for the written theory paper and 20 marks reserved for internal assessment.

Units

Marks

Unit - I

10

Unit - II

20

Unit - III

04

Unit - IV

27

Unit - V

13

Unit - VI

06

Total (Theory)

80

Internal Assessment

20

NCERT Class 9 Maths Book

The NCERT books are the prescribed textbooks for students following the CBSE curriculum. The Class 9 Mathematics NCERT book presents concepts in a clear, well-organized, and easy-to-understand language, making learning more understandable for students. It is designed to help students grasp mathematical concepts effectively through a step-by-step approach. Below are the links to access the NCERT Class 9 Maths book in both English and Hindi.

Best Reference Books for Class 9 Maths

These reference books can be used to practice more problems of Class 9 Maths.

  1. RD Sharma Class 9 Maths

  2. RS Aggarwal Class 9 Maths

Other NCERT Books for Class 9

The students can prepare for the other subjects of the class 9th using the reference books given below.


NCERT Solutions for Class 9 Maths

The NCERT Solutions for Class 9 Maths provide comprehensive, step-by-step answers to all the exercise questions in the NCERT textbook, helping students grasp each concept with clarity and ease. To further improve practice and problem-solving skills, the NCERT Exemplar solutions for class 9 Maths offer a wide range of additional questions.

The chapterwise NCERT solution links for the various topics of the class 9 NCERT textbook is given below:

NCERT Notes for Class 9 Maths

NCERT Notes Class 9 include comprehensive summaries for all subjects covered under the NCERT Class 9 curriculum. These notes are highly useful for quick revision, especially during exam preparation. The NCERT Notes Class 9 Maths provide a clear outline of all fundamental concepts and formulas from each chapter, making them an excellent resource for effective learning.

Frequently Asked Questions (FAQs)

1. What is the syllabus of Class 9 Maths as per NCERT for the current academic year?

The NCERT Class 9 Maths Syllabus includes the units Number System, Algebra, Coordinate Geometry, Geometry, Mensuration and Statistics.

2. How many chapters are there in the Class 9 Maths NCERT textbook?

The NCERT Class 9 Mathematics textbook comprises of 12 chapters namely, Number Systems, Polynomials, Coordinate Geometry, Linear Equation with Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Circles, Heron’s Formula, Surface Areas and Volumes, and Statistics. 

3. Has the NCERT Class 9 Maths syllabus changed recently?

Yes, the NCERT Class 9 Mathematics syllabus has undergone recent changes. For the academic session 2024-2025, approximately 30% of the content was rationalized to reduce the academic load on students, leading to the removal of certain topics and chapters.

4. Which topics are most important in the Class 9 Maths syllabus?

The most important topics in Class 9 Maths syllabus are the topics under the units with highest mark weightage. The units with high mark weightage are Algebra, Geometry, and Mensuration. 

5. Are geometry and algebra both part of the Class 9 Maths syllabus?

Yes, both Geometry and Algebra are a part of the Class 9 Maths syllabus. Algebra is covered under unit II while Geometry is covered under unit IV of Class 9 Maths syllabus. 

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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