MATHEMATICS Textbook for Class IX

MATHEMATICS Textbook for Class IX

Author:NCERT | Publisher:NCERT

Written by | Last Modified 26-05-2022

The syllabus of this book is developed by the NCERT expert committee based on the National Curriculum Framework (NCF), 2005. It covers various topics of Mathematics like Circles, Triangles, Statistics, Probability, Constructions, Quadrilaterals, etc.

Watch this Book Come Alive in 3D

Contents of MATHEMATICS Textbook for Class IX

This book contains chapter-wise solutions, topic-wise solutions, exercise-wise solutions, and videos.

6 Topics

1.1

Introduction

Play 6    edit 6
1.2

Irrational Numbers

Play 9    edit 17
1.3

Real Numbers and Their Decimal Expansions

Play 3    edit 14
1.4

Representing Real Numbers on the Number Line

Play 2    edit 3
1.5

Operations on Real Numbers

Play 17    edit 8
1.6

Laws of Exponents for Real Numbers

Play 6    edit 11
Practice Number Systems practice now
Points to Remember of Number Systems point to remamber

5 Topics

2.1

Polynomials in One Variable

Play 6    edit 21
2.2

Zeroes of a Polynomial

Play 4    edit 22
2.3

Remainder Theorem

Play 6    edit 7
2.4

Factorisation of Polynomials

Play 8    edit 19
2.5

Algebraic Identities

Play 13    edit 44
Practice Polynomials practice now
Points to Remember of Polynomials point to remamber

3 Topics

3.1

Introduction

Play 7    edit 3
3.2

Cartesian System

Play 6    edit 11
3.3

Plotting a Point in the Plane if its Coordinates are Given

Play 4    edit 2
Practice Coordinate Geometry practice now
Points to Remember of Coordinate Geometry point to remamber

4 Topics

4.1

Linear Equations

Play 8    edit 9
4.2

Solution of a Linear Equation

Play 7    edit 10
4.3

Graph of a Linear Equation in Two Variables

Play 4    edit 16
4.4

Equations of Lines Parallel to the x-axis and y-axis

Play 3    edit 4
Practice Linear Equations in Two Variables practice now
Points to Remember of Linear Equations in Two Variables point to remamber

2 Topics

5.1

Euclid's Definitions, Axioms and Postulates

Play 4    edit 16
5.2

Equivalent Versions of Euclid's Fifth Postulate

Play 5    edit 2
Practice Introduction to Euclid's Geometry practice now
Points to Remember of Introduction to Euclid's Geometry point to remamber

4 Topics

6.1

Intersecting Lines and Non-intersecting Lines

Play 3    edit 6
6.2

Parallel Lines and a Transversal

Play 5    edit 3
6.3

Lines Parallel to the Same Line

Play 3    edit 3
6.4

Angle Sum Property of a Triangle

Play 2    edit 6
Practice Lines and Angles practice now
Points to Remember of Lines and Angles point to remamber

5 Topics

7.1

Congruence of Triangles

Play 3    edit 8
7.2

Criteria for Congruence of Triangles

Play 6    edit 7
7.3

Some Properties of a Triangle

Play 10    edit 5
7.4

Some More Criteria for Congruence of Triangles

Play 6    edit 20
7.5

Inequalities in a Triangle

Play 4    edit 6
Practice Triangles practice now
Points to Remember of Triangles point to remamber

5 Topics

8.1

Angle Sum Property of a Quadrilateral

Play 2    edit 1
8.2

Types of Quadrilaterals

Play 6    edit 3
8.3

Properties of a Parallelogram

Play 5    edit 19
8.4

Another Condition for a Quadrilateral to be a Parallelogram

Play 5    edit 4
8.5

The Mid-point Theorem

Play 6    edit 11
Practice Quadrilaterals practice now
Points to Remember of Quadrilaterals point to remamber

4 Topics

9.1

Introduction

Play 5    edit 2
9.2

Figures on the Same Base and Between the Same Parallels

Play 4    edit 6
9.3

Parallelograms on the Same Base and Between the Same Parallels

Play 2    edit 9
9.4

Triangles on the Same Base and Between the Same Parallels

Play 2    edit 39
Practice Areas of Parallelograms and Triangles practice now
Points to Remember of Areas of Parallelograms and Triangles point to remamber

6 Topics

10.1

Circles and Its Related Terms: A Review

Play 9    edit 18
10.2

Angle Subtended by a Chord at a Point

Play 5    edit 3
10.3

Perpendicular from the Centre to a Chord

Play 5    edit 6
10.4

Equal Chords and Their Distances from the Centre

Play 5    edit 6
10.5

Angle Subtended by an Arc of a Circle

Play 5    edit 5
10.6

Cyclic Quadrilaterals

Play 3    edit 8
Practice Circles practice now
Points to Remember of Circles point to remamber

2 Topics

11.1

Basic Constructions

Play 6    edit 9
11.2

Some Constructions of Triangles

Play 7    edit 5
Practice Constructions practice now
Points to Remember of Constructions point to remamber

2 Topics

12.1

Area of a Triangle - By Heron's Formula

Play 3    edit 6
12.2

Application of Heron's Formula in Finding Areas of Quadrilaterals

Play 3    edit 9
Practice Heron's Formula practice now
Points to Remember of Heron's Formula point to remamber

8 Topics

13.1

Surface Area of a Cuboid and a Cube

Play 4    edit 12
13.2

Surface Area of a Right Circular Cylinder

Play 7    edit 15
13.3

Surface Area of a Right Circular Cone

Play 5    edit 10
13.4

Surface Area of a Sphere

Play 5    edit 17
13.5

Volume of a Cuboid

Play 5    edit 9
13.6

Volume of a Cylinder

Play 6    edit 12
13.7

Volume of a Right Circular Cone

Play 3    edit 13
13.8

Volume of a Sphere

Play 3    edit 14
Practice Surface Areas and Volumes practice now
Points to Remember of Surface Areas and Volumes point to remamber

4 Topics

14.1

Collection of Data

Play 4    edit 2
14.2

Presentation of Data

Play 5    edit 15
14.3

Graphical Representation of Data

Play 9    edit 16
14.4

Measures of Central Tendency

Play 7    edit 7
Practice Statistics practice now
Points to Remember of Statistics point to remamber

1 Topics

15.1

Probability - An Experimental Approach

Play 3    edit 21
Practice Probability practice now
Points to Remember of Probability point to remamber

3 Topics

16.1

Mathematically Acceptable Statements

Play 0    edit 16
16.2

Deductive Reasoning

Play 0    edit 6
16.3

Theorems, Conjectures and Axioms

Play 0    edit 15
Practice Proofs in Mathematics Appendix 1 practice now
Points to Remember of Proofs in Mathematics Appendix 1 point to remamber

2 Topics

17.1

Review of Word Problems

Play 0    edit 4
17.2

Some Mathematical Models

Play 0    edit 1
Practice Introduction to Mathematical Modelling Appendix 2 practice now
Points to Remember of Introduction to Mathematical Modelling Appendix 2 point to remamber

Experience Tests Tailored to Match the Real Exam

Practise Questions with Solutions from the MATHEMATICS Textbook for Class IX

Author: NCERT
L

Importance of MATHEMATICS Textbook for Class IX

Practice Now

Question-wise Difficulty Level Summary

Additionally, we tag all questions of any book to difficulty, ranging from 1 to 10. This tagging helps create personalised learning paths based on the performance of the student.

The table given below shows the difficulty tagged to the questions of this textbook -

Difficulty No. of Questions
Easy209
Medium473
Hard1

Why is the MATHEMATICS Textbook for Class IX Important?

Exam Name
9th Assam Board
SSC MTS Tier I
9th Foundation
NTSE Stage I - Jharkhand
UPSC CAPF AC Paper I
9th Jharkhand Board
9th Sikkim Board
9th Nagaland Board
9th Chhattisgarh Board
NTSE Stage I - Rajasthan
9th Haryana Board
NTSE Stage I - Sikkim
9th Karnataka State Board
9th Madhya Pradesh Board
UPSC CDS - old
9th Arunachal Pradesh Board
NTSE Stage I - Himachal Pradesh
NTSE Stage II
9th Himachal Pradesh Board
9th Uttarakhand Board
9th West Bengal Board
9th Telangana State Board
9th Bihar Board
SSC CHSL Tier I
NTSE Stage I - Uttarakhand
9th Kerala Board
NTSE Stage I - Madhya Pradesh
9th Uttar Pradesh Board
9th Mizoram Board
9th RBSE
9th Tamil Nadu State Board
9th Manipur Board
9th Delhi Board
9th Goa Board
WBJEE HM
9th CBSE
9th Gujarat Board
SSC CGL Tier I
9th Jammu and Kashmir Board
9th Andhra Pradesh Board
Other Important Books