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NCERT Class 9 Maths Notes - Download Chapter Wise PDFs

NCERT Class 9 Maths Notes - Download Chapter Wise PDFs

Updated on Apr 14, 2025 07:23 AM IST

The education path unfolds its foundation with Class 9 Mathematics by teaching foundational concepts that pave the way for better performance in advanced academic levels. This learning level introduces fundamental problem-solving subjects, which include number systems along with algebraic expressions and linear equations and coordinate geometry, as well as areas for two-dimensional shapes. The systematic explanations of these subjects lead students to develop their understanding from basic knowledge to perform fundamental logical reasoning.

This Story also Contains
  1. Class 9 Chapter Wise Notes
  2. Importance of NCERT Class 9 Maths Notes
  3. NCERT Class 9 Exemplar Solutions for Maths And Science

Students can learn concepts efficiently using the NCERT Class 9 Maths notes because their content features systematic organization. The notes contain summaries per chapter together with essential formulas and worked-out examples, which help students learn more efficiently while maintaining their understanding. The notes become essential tools for fast review before examinations since they spare students from reading through the entire text. Accounting for expert oversight and adhering to the latest CBSE syllabus, these notes contain only essential material that could be exam-related. Students should consult both NCERT Solutions for Class 9 Maths and other subjects to solve doubts while developing solid practice routines.

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Class 9 Chapter Wise Notes

Students must download the notes below for each chapter to ace the topics.


The table below lists the chapters that are no longer included in the NCERT Class 9 Maths textbook.

Omitted Topics from NCERT Class 9 Maths Textbook
Area of Parallelograms
Constructions
Probability


Importance of NCERT Class 9 Maths Notes

Class 9 sets the foundation for a student’s mathematical journey in higher grades. The chapter introduces core principles which students require for their studies during Class 10 and their following academic years. Knowledge and mastery of fundamental mathematical concepts in the beginning of your academic year play an essential role in building academic success. The study materials for NCERT Class 9 Maths serve two main purposes by providing simplification of critical concepts while simultaneously improving learning efficiency as well as helping students prepare for exams.

The notes supply important benefits which include:

  • Concept Clarity from the Basics: A complete explanation of Number Systems, Polynomials, Linear Equations in Two Variables, and Geometry is presented in the notes through easy-to-follow explanations. The method makes it easier for students to understand fundamental concepts while preventing conceptual problems.
  • Saves Time During Revision: Students need shorter study sessions thanks to the concise notes which save them from reviewing full chapters. The notes highlight important points and definitions and formulas to assist students in exam success through efficient and effective revision.
  • Quick Recap of Formulas & Theorems: Most important formulas as well as properties and theorems appear in the notes with simple and easy-to-understand descriptions. The notes deliver essential information which proves very useful for finishing coursework and tackling practice quizzes.
  • Aligned with CBSE Syllabus: The notes conform to the recent CBSE Class 9 Maths curriculum and direct students toward essential exam content, which prevents excessive study of unnecessary information.
  • Builds Confidence for Higher Classes: Structured education materials for Class 9 mathematics concepts enable pupils to feel more competent when studying future topics in both Class 10 level classes and competitive examinations.
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NCERT Solutions Subject Wise

Students must check the NCERT solutions for class 9 of Mathematics and Science Subjects.

NCERT Class 9 Exemplar Solutions for Maths And Science

Students must check the NCERT exemplar solutions for Class 9 Maths and Science given below:

Read More: Syllabus and Books


Frequently Asked Questions (FAQs)

1. Give the list of chapters that are included in NCERT class 9 maths book.

a) Number system

b) Polynomials

c) Coordinate geometry

d) Linear equation in two variables

e) Introduction to Euclid’s geometry

f) Lines and angles

g) Triangles

h) Quadrilaterals

i) Areas of parallelograms

j) Circles

k) Construction

l) Heron’s formula

m) Surface, area and volume

n) Statistics

o) Probability

2. What are the highlighting topics that should be covered from the particular chapter to score well in class 9th for maths examination?

The importance of every chapter is individually their own. This even cannot be possible to distinguish and mark that this chapter is having this theorem and it is important so this condition is even though not possible .separated as According to NCERT class 9 maths book all the chapters are important and needs to be covered by proper attention on each topic and this is how they are mandatory to score well in CBSE class 9th maths exam.

3. How does a student find these notes? Do these notes contain any cost or something?

The students can easily approach these notes as they are available on the site and can be accessed by using the link https://ncert.nic.in/. No, these notes do not have any cost, they are free of cost and can be downloaded for offline preparation as well.

4. Every single student finds difficulty in solving maths problems as sometimes they forget the formula and sometimes the method to solve the question? Will these notes justify the problems of students?

Yes, these notes are so designed so that every student can cover the whole syllabus on their own because the language and detailings in these notes are so easy and formulas and methods are elaborated in such a way that at the beginning of the notes every student has the road map of that particular chapter which do not create any hustle and confusion in any kind of method. Also, these notes help in remembering the units as well.

5. How are class 9th Maths chapters notes/NCERT notes for Class 9 Maths chapters helpful for students?

These are helpful in revising the concepts in the examination when students require concise matter to read and recall all the concepts in a very short period of time.

Articles

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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