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NCERT Solutions for Class 9 Maths

NCERT Solutions for Class 9 Maths

Edited By Komal Miglani | Updated on Apr 18, 2025 12:34 AM IST

Renowned Mathematician Stanley Gudder once said, ”The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” At Careers360, we embrace this very philosophy. We also believe that a complex problem with step-by-step clarity will help a student to understand the concepts behind it and how to solve it at the same time. These NCERT solutions for class 9 maths clearly demonstrate how to explain mathematics easily. The main purpose of this article is to give students a hint of the chapters they will learn in class 9, as well as provide them with some extra study materials.

This Story also Contains
  1. NCERT Solutions for Class 9 Maths Chapter Wise
  2. NCERT Solutions for Class 9 Maths Chapter Details
  3. Importance of NCERT Solutions for Class 9 Maths
  4. NCERT Books And NCERT Syllabus
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 9 Maths

As many of these chapters are important for competitive exams like Olympiad, NTSE, and entrance exams for higher education, these Class 9 math NCERT Solutions will build a good foundation. The Class 9 Maths NCERT book comprises 12 chapters, and our solutions are crafted by subject matter experts in alignment with the latest CBSE syllabus. Students can download the PDF files of the solutions using this link for offline study.

NCERT Solutions for Class 9 Maths Chapter Wise

These are the chapter-wise NCERT solutions for class 9 Maths. Students can check these at their own convenience and download the PDF files of each chapter's solutions to analyse them.

NCERT Solutions for Class 9 Mathematics Chapter 1: Number Systems
NCERT Solutions for Class 9 Mathematics Chapter 2: Polynomials
NCERT Solutions for Class 9 Mathematics Chapter 3: Coordinate Geometry
NCERT Solutions for Class 9 Mathematics Chapter 4: Linear Equations in Two Variables
NCERT Solutions for Class 9 Mathematics Chapter 5: Introduction to Euclid’s Geometry
NCERT Solutions for Class 9 Mathematics Chapter 6: Lines and Angles
NCERT Solutions for Class 9 Mathematics Chapter 7: Triangles
NCERT Solutions for Class 9 Mathematics Chapter 8: Quadrilaterals
NCERT Solutions for Class 9 Mathematics Chapter 9: Circles
NCERT Solutions for Class 9 Mathematics Chapter 10: Heron's Formula
NCERT Solutions for Class 9 Mathematics Chapter 11: Surface Areas and Volumes
NCERT Solutions for Class 9 Mathematics Chapter 12: Statistics

NCERT Solutions for Class 9 Maths Chapter Details

NCERT Solutions for Class 9 Maths Chapter 1

Chapter NameNumber Systems
Topics

  • Real numbers

  • Irrational numbers

  • Laws of exponents

  • Rationalization

Total Exercise5
Page Number1-24
Expected Number of Questions3-4
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 1 Number System
NCERT Note linkNCERT class 9 maths chapter 1 notes
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NCERT Solutions for Class 9 Maths Chapter 2

Chapter NamePolynomials
Topics

  • Polynomials in one variable

  • Degree and types of polynomials

  • Algebraic identities

  • Factorisation of polynomials

Total Exercise4
Page Number25-42
Expected Number of Questions4-5
NCERT Exemplar linkNCERT exemplar solutions for class 9 Maths Chapter 2 Polynomials
NCERT Note linkNCERT class 9 maths chapter 2 notes

NCERT Solutions for Class 9 Maths Chapter 3

Chapter NameCoordinate Geometry
Topics

  • Cartesian plane

  • Coordinates of a point

  • Plotting points on the plane

Total Exercise2
Page Number43-54
Expected Number of Questions2-3
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 3 Coordinate geometry
NCERT Note linkNCERT class 9 maths chapter 3 notes

NCERT Solutions for Class 9 Maths Chapter 4

Chapter NameLinear Equations in Two Variables
Topics

  • General form of linear equations

  • Solutions and graphs

  • Real-life applications

Total Exercise2
Page Number55-59
Expected Number of Questions3-4
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 4 Linear equations in Two Variables
NCERT Note linkNCERT class 9 maths chapter 4 notes

NCERT Solutions for Class 9 Maths Chapter 5

Chapter NameIntroduction to Euclid's Geometry
Topics

  • Euclid’s definitions, axioms, and postulates

  • Basics of geometry

Total Exercise1
Page Number60-68
Expected Number of Questions2-3
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 5 Introduction to Euclid’s Geometry
NCERT Note linkNCERT class 9 maths chapter 5 notes

NCERT Solutions for Class 9 Maths Chapter 6

Chapter NameLines and Angles
Topics

  • Types of angles

  • Angle pair relationships (complementary, supplementary, etc.)

  • Axioms and theorems related to lines and angles

Total Exercise2
Page Number69-82
Expected Number of Questions3-4
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 6 Lines and Angles
NCERT Note linkNCERT class 9 maths chapter 6 notes

NCERT Solutions for Class 9 Maths Chapter 7

Chapter NameTriangles
Topics

  • Congruence of triangles (criteria: SSS, SAS, ASA, RHS)

  • Properties and inequalities of triangles

  • Pythagoras theorem

Total Exercise3
Page Number83-103
Expected Number of Questions4-5
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 7 Triangles
NCERT Note linkNCERT class 9 maths chapter 7 notes

NCERT Solutions for Class 9 Maths Chapter 8

Chapter NameQuadrilaterals
Topics

  • Types of quadrilaterals

  • Properties of parallelograms

  • Mid-point theorem

Total Exercise2
Page Number104-115
Expected Number of Questions3-4
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 8 Quadrilaterals
NCERT Note linkNCERT class 9 maths chapter 8 notes

NCERT Solutions for Class 9 Maths Chapter 9

Chapter NameCircles
Topics

  • Circle and its parts

  • Chords and arcs

  • Angle subtended by a chord

  • Cyclic quadrilaterals

Total Exercise3
Page Number116-130
Expected Number of Questions2-3
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 10 Circles
NCERT Note linkNCERT class 9 maths chapter 9 notes

NCERT Solutions for Class 9 Maths Chapter 10

Chapter NameHeron's Formula
Topics

  • Finding the area of triangles using Heron’s formula

  • Application in real-life problems

Total Exercise1
Page Number131-136
Expected Number of Questions1-2
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 12 Heron’s Formula
NCERT Note linkNCERT class 9 maths chapter 10 notes

NCERT Solutions for Class 9 Maths Chapter 11

Chapter NameSurface Areas and Volumes
Topics

  • Surface area and volume of a cube and a cuboid

  • Cylinder, cone, sphere, and hemisphere

Total Exercise4
Page Number137-150
Expected Number of Questions3-4
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 13 Surface Areas and Volumes
NCERT Note linkNCERT class 9 maths chapter 11 notes

NCERT Solutions for Class 9 Maths Chapter 12

Chapter NameStatistics
Topics

  • Collection and presentation of data

  • Bar graphs and histograms

  • Frequency polygons

Total Exercise1
Page Number151-166
Expected Number of Questions2-4
NCERT Exemplar linkNCERT exemplar solution for class 9 Maths Chapter 14 Statistics and Probability
NCERT Note linkNCERT class 9 maths chapter 12 notes

Importance of NCERT Solutions for Class 9 Maths

The pathway of the class 10 board exams goes through the class 9 chapters. So, building a strong base of chapters like Number System, Coordinate Geometry, Polynomials, Triangles, Circles, and Statistics is an essential thing to do well in exams. Here are some more important features of these solutions.

  • Students will have an extra resource during their practice of textbook exercises, and they can check on their own if they are doing the solutions right or not.
  • Solutions have been written in a well-structured manner and using simple language.
  • All the relevant formulas are provided alongside the solutions.
  • The importance of visual representation is maintained. Wherever pictures are needed, it is provided to make the learning interesting.

NCERT Books And NCERT Syllabus

Students can use the following links to find the 2025-26 CBSE syllabus and reference books to practice.

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