NCERT Solutions for Class 9 Maths - Download All chapter PDFs

Komal MiglaniUpdated on 17 Sep 2025, 06:48 PM 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

NCERT Solutions for Class 9 Maths Chapter Wise
NCERT Solutions for Class 9 Maths Chapter Details
Importance of NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 9 Maths – Previous year Chapters
NCERT Books and NCERT Syllabus

NCERT Solutions for Class 9 Maths

Many teachers recommend NCERT Solutions because they closely match the exam pattern. As many of these chapters are important for competitive exams like Olympiad, NTSE, and entrance exams for higher education, these NCERT Solutions for Class 9 will build a strong foundation. The Class 9 Maths NCERT book comprises 12 chapters, and our solutions are crafted by subject matter experts in alignment with the latest NCERT syllabus. For a detailed syllabus, study materials, and downloadable PDFs, check out this NCERT article.

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 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 Name	Number Systems
Topics	Real numbers Irrational numbers Laws of exponents Rationalization
Total Exercise	5
Page Number	1-24
NCERT Exemplar link	NCERT exemplar solutions for class 9 Maths Number System
NCERT Note link	NCERT class 9 maths Number System notes

NCERT Solutions for Class 9 Maths Chapter 2

Chapter Name	Polynomials
Topics	Polynomials in one variable Degree and types of polynomials Algebraic identities Factorisation of polynomials
Total Exercise	4
Page Number	25-42
NCERT Exemplar link	NCERT exemplar solutions for class 9 Maths Polynomials
NCERT Note link	NCERT class 9 maths Polynomials notes

NCERT Solutions for Class 9 Maths Chapter 3

Chapter Name	Coordinate Geometry
Topics	Cartesian plane Coordinates of a point Plotting points on the plane
Total Exercise	2
Page Number	43-54
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Coordinate geometry
NCERT Note link	NCERT class 9 maths Coordinate Geometry notes

NCERT Solutions for Class 9 Maths Chapter 4

Chapter Name	Linear Equations in Two Variables
Topics	General form of linear equations Solutions and graphs Real-life applications
Total Exercise	2
Page Number	55-59
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Linear equations in Two Variables
NCERT Note link	NCERT class 9 maths Linear Equations in Two Variables notes

NCERT Solutions for Class 9 Maths Chapter 5

Chapter Name	Introduction to Euclid's Geometry
Topics	Euclid’s definitions, axioms, and postulates Basics of geometry
Total Exercise	1
Page Number	60-68
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Introduction to Euclid’s Geometry
NCERT Note link	NCERT class 9 maths Introduction to Euclid's Geometry notes

NCERT Solutions for Class 9 Maths Chapter 6

Chapter Name	Lines and Angles
Topics	Types of angles Angle pair relationships (complementary, supplementary, etc.) Axioms and theorems related to lines and angles
Total Exercise	2
Page Number	69-82
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Lines and Angles
NCERT Note link	NCERT class 9 maths Lines and Angles notes

NCERT Solutions for Class 9 Maths Chapter 7

Chapter Name	Triangles
Topics	Congruence of triangles (criteria: SSS, SAS, ASA, RHS) Properties and inequalities of triangles Pythagoras theorem
Total Exercise	3
Page Number	83-103
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Triangles
NCERT Note link	NCERT class 9 maths Triangles notes

NCERT Solutions for Class 9 Maths Chapter 8

Chapter Name	Quadrilaterals
Topics	Types of quadrilaterals Properties of parallelograms Mid-point theorem
Total Exercise	2
Page Number	104-115
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Quadrilaterals
NCERT Note link	NCERT class 9 maths Quadrilaterals notes

NCERT Solutions for Class 9 Maths Chapter 9

Chapter Name	Circles
Topics	Circle and its parts Chords and arcs Angle subtended by a chord Cyclic quadrilaterals
Total Exercise	3
Page Number	116-130
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Circles
NCERT Note link	NCERT class 9 maths Circles notes

NCERT Solutions for Class 9 Maths Chapter 10

Chapter Name	Heron's Formula
Topics	Finding the area of triangles using Heron’s formula Application in real-life problems
Total Exercise	1
Page Number	131-136
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Heron’s Formula
NCERT Note link	NCERT class 9 maths Heron's Formula notes

NCERT Solutions for Class 9 Maths Chapter 11

Chapter Name	Surface Areas and Volumes
Topics	Surface area and volume of a cube and a cuboid Cylinder, cone, sphere, and hemisphere
Total Exercise	4
Page Number	137-150
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Surface Areas and Volumes
NCERT Note link	NCERT class 9 maths Surface Areas and Volumes notes

NCERT Solutions for Class 9 Maths Chapter 12

Chapter Name	Statistics
Topics	Collection and presentation of data Bar graphs and histograms Frequency polygons
Total Exercise	1
Page Number	151-166
NCERT Exemplar link	NCERT exemplar solution for class 9 Maths Statistics and Probability
NCERT Note link	NCERT class 9 maths Statistics 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 Solutions for Class 9 Maths – Previous year Chapters

It’s important to know which chapters were part of the Class 9 Maths syllabus last year compared to this year. Below is the list of chapters from the previous year’s Class 9 Maths book.

Chapter 1: Number Systems
Chapter 2: Polynomials
Chapter 3: Coordinate Geometry
Chapter 4: Linear Equations in Two Variables
Chapter 5: Introduction to Euclid's Geometry
Chapter 6: Lines and Angles
Chapter 7: Triangles
Chapter 8: Quadrilaterals
Chapter 9: Areas of Parallelograms and Triangles
Chapter 10: Circles
Chapter 11: Constructions
Chapter 12: Heron's Formula
Chapter 13: Surface Areas and Volumes
Chapter 14: Statistics
Chapter 15: Probability

Chapters 9, 11, and 15 have been removed from the latest syllabus. The rest of the chapters are the same.

NCERT Books and NCERT Syllabus

Students can use the following links to find the latest syllabus and reference books to practice.

Frequently Asked Questions (FAQs)

Q: Why are NCERT Class 9 Maths Solutions important?

NCERT Solutions provide step-by-step explanations that help students understand concepts, strengthen basics, and prepare effectively for exams.

Q: Which chapters in Class 9 Maths are most important for exams?

Questions from chapters such as Polynomials, Linear Equations in Two Variables, Geometry, Statistics and Number Systems are frequently asked in exams.

Q: How many chapters are there in Class 9 Maths NCERT?

According to the latest syllabus, there are 12 chapters in Class 9 Maths NCERT, covering topics from Number Systems to Statistics.

Q: Are NCERT Solutions enough for Class 9 Maths exam preparation?

Yes, NCERT Solutions are sufficient for Class 9 exams. For competitive exams like NTSE, Olympiads, extra practice may be helpful from other books, such as RS Aggarwal, RD Sharma, etc.

Q: Are maths NCERT solutions class 9 available in PDF format?

Yes, NCERT Maths Class 9 solutions are available in a free downloadable PDF for offline study from trusted educational websites such as Careers360.

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Popular Questions

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) $0.67\; J$

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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 3.8×10⁷J 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

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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) $20,000 \, \, J - 50,000 \, \, J$

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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) $K/4$

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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 .

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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

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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.

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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.

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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

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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