Table of Contents

**NCERT Solutions for Class 9 Maths** provide detailed and step-by-step explanations to all the questions given in the** NCERT textbook **for Class 9 Maths. With the NCERT Solutions for Class 9 Maths, students can access solutions for each chapter covering key topics like Number System, Polynomials, Coordinate Geometry, Lines and Angles, Triangles, Heron’s Formula, Statistics, Surface Areas and Volumes, etc.

These solutions have been designed by expert teachers to help students understand the concepts clearly and easily. The detailed explanations given in the** Maths solutions for Class 9** will enable students to answer any question with confidence. Practicing the **NCERT solutions** will help students excel in their Maths exams as it covers the entire **Class 9 Maths syllabus** comprehensively. We recommend all Class 9 students download and make the best use of the NCERT solutions for flawless exam preparation and thorough concept clarity.

## NCERT Solutions for Class 9 Maths – Free PDF Updated for 2024-25 Session

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

The NCERT solutions for class 9 maths are an extremely valuable resource for students. These solutions provide step-by-step explanations as per the latest syllabus, helping students understand concepts, formulas and theorems clearly. Developed by expert teachers, the solutions cover the entire **NCERT textbook Solutions** and practicing them enhances problem-solving ability. The detailed solutions are designed to build conceptual clarity and confidence in students to tackle any question efficiently. In a nutshell, the NCERT solutions are indispensable for exam preparation and gaining mastery over class 9 maths.

**NCERT Solutions for Class 9 All Subjects**

**NCERT Solutions for Class 9 Maths****NCERT Solutions for Class 9 Science****NCERT Solutions for Class 9 Social Science****NCERT Solutions for Class 9 English**

## Class 9th Maths NCERT solutions – Detailed Explanation Chapter-wise

### NCERT Solutions for Class 9 Maths Chapter 1: Number Systems

The **NCERT 9th maths solution for Chapter 1 Number Systems** help students understand complex concepts like rational and irrational numbers, properties of real numbers, and rules of exponents and powers. The detailed NCERT class 9th maths solutions for **number system** and practicing **Number System Questions** given make it easy for students to learn and grasp these concepts well.

15 chapters are present in the** Class 9 Maths**. These chapters in the **NCERT Class 9 Maths** lay a foundation for the chapters present in Class 10. **NCERT solutions for class 9 maths pdf** and **Number System MCQs** given at Infinity Learn are accessible to everyone and can be downloaded by the students for free.

**The following topics were covered:**

Some of the major topics covered in the ncert 9 maths solution and NCERT solutions for Class 9 Maths PDF for Chapter 1 include irrational numbers, real numbers and their decimal expansions, representing **real numbers** on the **number line**, operations on real numbers, laws of exponents for real numbers, and **logarithms**. The class 9th maths ncert solutions have been designed in a student-friendly manner to clear all doubts and enable better exam preparation.

**You can also access free Exemplar Solutions:**

**NCERT Exemplar Solutions Class 9 Maths Chapter 1**

### NCERT Solutions for Class 9 Maths Chapter 2: Polynomials

The **NCERT solutions for class 9 maths Chapter 2 Polynomials** provide detailed explanations for all questions given in the chapter. It helps students understand concepts like factoring quadratic polynomials, relationship between zeroes and coefficients of a **polynomial**, polynomial identities, and more covered in the ncert class 9th maths textbook with **Polynomials Class 9 Extra Questions Maths Chapter 2**.

Practicing the **NCERT solutions** will help students master factorization and identities for polynomials which are important for higher math. We highly recommend all Class 9 students refer to these solutions for exam preparation and scoring high marks.

Some of the major topics covered in the **NCERT solutions for Class 9 Maths PDF** for this chapter include polynomials, remainder theorem, factorization of polynomials, algebraic identities, zeroes of a polynomial, division algorithm for polynomials etc. The step-by-step solutions make it easy for students to grasp the concepts.

**You can also access free Exemplar Solutions:**

**NCERT Exemplar Solutions Class 9 Maths Chapter 2****NCERT Notes – Class 9 Maths Chapter 2 Polynomials****Polynomials MCQs Class 9 Maths Chapter 2**

### NCERT Solutions for Class 9 Maths Chapter 3: Coordinate Geometry

**Chapter 3 Coordinate Geometry** forms an important part of the **Class 9 maths curriculum** as per the **CBSE syllabus**.** Coordinate Geometry** covers key concepts like the Cartesian plane, coordinates of a point, plotting points in the plane, concepts of distances and sections formulas.

**NCERT solutions for Chapter 3 Coordinate Geometry** provide detailed explanations and solutions for all the questions given in the chapter. It helps students understand plotting points on the Cartesian plane, finding distances between two points, identifying relation between coordinates and geometric shapes, and more.

**Topics Covered in Chapter 3 Coordinate Geometry Class 9 Are:**

Key topics covered in the NCERT solutions for this chapter include the Cartesian plane, coordinates of a point, naming and plotting points in the plane, finding distances using section formula, area of a triangle using coordinates, and more. The step-by-step solutions are designed to help build strong conceptual clarity.\

**You can also access free Exemplar Solutions:**

**NCERT Exemplar Solutions Class 9 Maths Chapter 3****Coordinate Geometry Class 9 Extra Questions Maths Chapter 3****Coordinate Geometry Class 9 Notes Maths Chapter 3**

### NCERT Solutions for Class 9 Maths Chapter 4: Linear Equations in Two Variables

The NCERT solutions for class 9 maths pdf for chapter 4 **Linear Equations in Two Variables** provide step-by-step explanations to all the questions given. It helps students understand concepts like forming and solving linear equations in two variables, deriving the slope-intercept form of a line, finding the angle between two lines, and more covered in the** ncert class 9th maths textbook**.

**Chapter 4 Linear Equations in Two Variables** is an important chapter from the class 9th maths ncert solutions syllabus. This chapter covers topics like linear equations, solution of linear equations, **graphing linear equations**, slope of a line, parallel and perpendicular lines, etc.

Practicing questions from these NCERT solutions will help in gaining conceptual clarity about linear equations, slopes, intercepts, graphs which are essential for higher math.

**Topics Covered in Chapter 4 Linear Equations in Two Variables Are:**

Forming linear equations, methods of solving them, slope-intercept form, graphical representation, intersection of lines, parallel and perpendicular lines. The well-detailed solutions facilitate easy understanding of the concepts and their applications.

**You can also access free Exemplar Solutions:**

### NCERT Solutions for Class 9 Maths Chapter 5: Introduction to Euclid’s Geometry

Practicing the questions from these NCERT solutions will help develop strong fundamental understanding of **Euclidian geometry** needed for higher level math courses.

The **NCERT solutions for Class 9 Maths PDF** for this chapter provide detailed explanations to all questions given. It helps grasp concepts like Euclid’s five postulates, congruent triangles and their properties, similar polygons, right angled triangles, **Pythagoras theorem**, and more covered in the ncert class 9th maths textbook.

**Topics Covered in Chapter 5 Coordinate Introduction to Euclid’s Geometry Are:**

Major topics included in the ncert 9 maths solution encompass Euclid’s definitions, axioms and postulates, properties of parallel lines, conditions for triangle congruency, criteria for similarity, properties of right triangles, Pythagoras theorem. The well-detailed solutions and **Euclid Geometry Class 9 Extra Questions** make the concepts easy to grasp.

**You can also access free Exemplar Solutions:**

### NCERT Solutions for Class 9 Maths Chapter 6: Lines and Angles

**Lines and Angles Chapter 6** is a fundamental chapter in geometry from the class 9th maths ncert textbook. This chapter focuses on concepts like types of angles, transversal lines, parallel lines and their properties, theorems based on angles, and more.

NCERT solutions for class 9 maths pdf for this chapter **Lines and Angles** provide detailed step-by-step explanations for all questions given. It enables grasping concepts like identifying angle pairs, corresponding angles, linear pair and allied angles, transversal lines, parallel line theorems etc. as covered in the **NCERT class 9th maths textbook**.

**Some of the Topics Covered in Chapter 6: Lines and Angles**

**NCERT 9 maths solution** include types of angles, transversal, parallel lines, theorems based on angles like linear pair, vertically opposite angles, corresponding angles, alternate angles and allied angles. The well-explained solutions make the concepts easy to understand.

**You can also access free Exemplar Solutions:**

### NCERT Solutions for Class 9 Maths Chapter 7: Triangles

**Triangles**, is an important topic in geometry according to the **Class 9th Maths NCERT solutions**. This chapter deals with things like triangle properties, conditions for triangles to be the same size, the idea that some sides of triangles can’t be too short or too long, a basic idea about ratios in triangles, and other related ideas.

**NCERT solutions for Class 9 Maths PDF** in this chapter offer clear and detailed step-by-step guidance for all the questions provided. These solutions and **Triangles Class 9 Extra Questions Maths Chapter 7** help in grasping concepts such as properties of triangles, conditions for triangles to be the same size based on their sides and angles, and inequalities in triangles. The solutions also cover the basic idea of ratios in triangles and other related topics as taught in the Class 9th Maths NCERT textbook.

It Covers important topics such as triangle properties, conditions for triangles to be the same size, inequalities within triangles, theorems that go together, the basic idea of ratios in triangles, and how to use it. These solutions are well-explained, making it simple to understand the concepts.

**You can also access free Exemplar Solutions:**

### NCERT Solutions for Class 9 Maths Chapter 8: Quadrilaterals

Chapter 8** Quadrilaterals** forms an integral concept in geometry as per the NCERT class 9th maths syllabus. This chapter focuses on properties of quadrilaterals, types of parallelograms, theorems related to parallelograms, mid-point theorem, and more.

The NCERT 9th Maths Solutions Chapter 8 Quadrilaterals, provide step-by-step explanations for all the questions. This helps in understanding important ideas like the features of four-sided shapes, what makes a shape a parallelogram, the rules that go with parallelograms, the middle point theorem and its opposite idea, and other things taught in the NCERT Class 9th Maths book.

Some major topics included in the **ncert class 9th maths** include types of quadrilaterals and their properties, parallelogram criteria, theorems related to sides, angles and diagonals of parallelogram, mid-point theorem and its converse theorem. The well-detailed solutions and **Important questions for quadrilaterals** make learning easy.

**You can also access free Exemplar Solutions:**

### NCERT Solutions for Class 9 Maths Chapter 9: Areas of Parallelograms and Triangles

Chapter 9, called ‘**Areas of Parallelograms and Triangles**,’ is an important part of geometry in Class 9 Maths according to NCERT solutions. In this chapter, we learn about things like triangles, parallelograms, trapezoids, and the middle point and center of a triangle.

The solutions for NCERT 9th Maths give step-by-step explanations for all the questions in this chapter. This helps us understand ideas like how to find the space inside a triangle, parallelogram, trapezium, or any four-sided shape; facts about the middle point, center, and where lines meet in a triangle; and other related things taught in the Class 9th Maths book.

Some main topics included in the solutions for ncert class 9th maths are the formulas to find the space inside a triangle, parallelogram, and trapezium. We also learn about things like the middle point, the height, the center, and where lines meet in a triangle. These solutions, which are explained in detail, make it easy to understand the ideas.

**You can also access free Exemplar Solutions:**

**NCERT Exemplar Solutions Class 9 Maths Chapter 9****Areas of Parallelograms and Triangles – Important Theorems****Areas of Parallelograms and Triangles Class 9 Notes**

### NCERT Solutions for Class 9 Maths Chapter 10: Circles

Chapter 10, ‘**Circles**,’ is an important part of geometry in** ncert class 9th maths**, as per the NCERT solutions. This chapter talks about things like lines that touch the circle, lines that cut across the circle, lines that connect parts of the circle, how much of the circle is covered, and facts about these lines.

The solutions for ncert class 9th maths give step-by-step explanations for all the questions in this chapter. This helps us understand ideas like how lines touch the circle, how lines connect parts of the circle, how much of the circle is covered, and angles formed by these lines. These are the things we learn in the Class 9th Maths book.

Some main topics included in the solutions for ncert class 9th maths are lines that touch or connect the circle, how much of the circle is covered, the length of certain parts of the circle, and angles related to these lines. These solutions, which are explained in detail, make it easy to understand the ideas and practicing **important questions for CBSE class 9 circles** makes you master.

**You can also access free Exemplar Solutions:**

**NCERT Solutions for Class 9 Maths Chapter 11: Constructions**

**NCERT Solutions Chapter 11**, **Constructions**, is a practical part of geometry in Class 9 Maths, according to the NCERT. In this chapter, we learn about making shapes using only a compass and a straight edge, and how to create triangles.

The solutions for **NCERT 9th Maths** give step-by-step explanations for all the questions in this chapter. This helps us understand ideas like making simple shapes, creating triangles in different ways like drawing lines from the corner to the middle or cutting angles in half, and more that we learn in the Class 9th Maths book.

Some main topics included in the solutions for NCERT 9th Maths and the PDF solutions for Class 9 Maths are making basic shapes, creating different parts of triangles like lines from the corner to the middle, dividing angles into two equal parts, and other things related to shapes. These solutions, which are explained really well, make it easy to understand the ideas.

**You can also access free Exemplar Solutions:**

**NCERT Solutions for Class 9 Maths Chapter 12: Heron’s Formula**

**Chapter 12, Heron’s Formula**, is an important part of geometry in **Class 9 Maths, as per the NCERT solutions**. In this chapter, we learn about figuring out the space inside a triangle, a special formula called ‘Heron’s Formula,’ and how it helps us with shapes that have four sides.

The solutions for ncert class 9th maths explain each step for all the questions in this chapter. This helps us understand ideas like the special Heron’s Formula, how the sides of a triangle are connected to its space, and how we can use Heron’s Formula to find the space inside different four-sided shapes, which we learn about in the Class 9th Maths book.

Some main topics included in the solutions for NCERT 9th Maths and the PDF solutions for Class 9 Maths are Heron’s Formula, proving how it works and how it helps in different shapes, finding the space inside triangles and four-sided shapes using Heron’s Formula. These solutions, which are explained really well, and practicing **Heron’s Formula Important Questions** make it easy to understand the ideas.

**You can also access free Exemplar Solutions:**

**NCERT Solutions for Class 9 Maths Chapter 13: Surface Areas and Volumes**

**Surface Areas and Volumes Chapter 13 class 11 ** is an important part of measuring things in Class 9 Maths, as per the NCERT solutions. This chapter is all about figuring out how much space is on the outside and inside of different shapes like cubes, rectangular boxes, balls, half-balls, pointy shapes, and round pipes.

The solutions for ncert maths class 9 explain each step for all the questions in this chapter. This helps us understand ideas like finding the space on the outside and inside of shapes like cubes, boxes, balls, and other shapes that we see in real life. We also learn how to switch between different ways of measuring and use these numbers to solve real problems, which we learn in the Class 9th Maths book.

Some main topics included in the solutions for NCERT 9th Maths and the PDF solutions for Class 9 Maths are finding space on the outside and inside of cubes, rectangular boxes, balls, and pipes. We also learn about mixing different shapes together and using these ideas in the real world. These solutions, which are explained really well, make it easy to understand the ideas.

**You can also access free Exemplar Solutions:**

**NCERT Exemplar Solutions Class 9 Maths Chapter 13****Surface Areas and Volumes Class 9 Notes Maths Chapter 13**

**NCERT Solutions for Class 9 Maths Chapter 14: Statistics**

**Statistics**** class 9**, is a really important part of handling information in Class 9 Maths, following the NCERT solutions. This chapter is all about things like getting information together, showing it in a clear way, figuring out an average, finding the middle, seeing which number appears most often, and dealing with chances.

The solutions for ncert maths class 9 tells each step for all the questions in this chapter. This helps us understand ideas like putting information into groups, making tables and pictures to show what we found, finding an average, seeing which number shows up in the middle most often, and dealing with chances that we can figure out, which we learn in the Class 9th Maths book.

Some main topics included in the solutions for ncert 9 maths solution are collecting, sorting, and showing information, figuring out things like average, middle, and most common number, and working with chances using math. These solutions, which are explained really well, make it easy to understand the ideas.

**You can also access free Exemplar Solutions:**

**NCERT Solutions for Class 9 Maths Chapter 15: Probability**

Chapter 15, known as ‘**Probability**,’ is a crucial part of dealing with information and numbers in statistics, according to the NCERT solutions for Class 9 Maths. This chapter deals with ideas like random tests, things that can happen, attempts, results, possible outcomes, chances that we can figure out, and more.

The solutions for NCERT 9th Maths elaborate each step for all the questions in this chapter. This helps us understand ideas like trying things out to see what can happen, all the possible things that can occur, how often different events might take place, and how to work out the chances using math, which we learn about in the Class 9th Maths book.

Some main topics included in the solutions for ncert maths class 9 are trying things out to see what happens, all the possible things that can occur, different attempts and results, the chances we can calculate using numbers, and real-life situations where these ideas are used. These solutions, which are explained really well, make it easy to understand the ideas.

**Access Free Notes:**

### Benefits of NCERT Solutions for Class 9 Maths

**Simple and Easy Steps:**The solutions are presented in straightforward steps, making it easy for students to understand and follow along.**Thorough Concept Explanation:**CBSE Class 9 Maths NCERT Solutions offer comprehensive explanations for every concept, presented in easy language. This is vital for better understanding and performing well in class exams.**Free Access:**Students can access these solutions for free, helping them clear any doubts they might have right away.**Accurate Solutions:**All solutions, crafted by experienced teachers, undergo rigorous review before being provided. This ensures accuracy and reliability, rectifying any past confusion caused by incorrect study materials.**Offline Learning:**Available as downloadable PDFs, these solutions facilitate offline studying. Students can access and study them anywhere, anytime, and even share them with peers.**Chapter-wise PDFs:**There are exercise-wise PDFs for all the chapters in CBSE 9th Class Maths, providing organized resources for each topic.**Enhanced Problem-Solving Skills:**Detailed explanations aid students in developing effective problem-solving skills, leading to a better grasp of concepts.**Simplified Methods:**The questions are solved using the simplest methods, making complex problems more approachable.**Visual Aids:**Diagrams accompany the solutions, helping students visualize the questions and solutions better.

### CBSE Class 9 Maths Unit wise weightage for First Term

Units |
Unit Name |
Marks |

I | Number System | 08 |

II | Algebra | 05 |

III | Coordinate Geometry | 04 |

IV | Geometry | 13 |

V | Mensuration | 04 |

VI | Statistics and Probability | 06 |

Total | 40 | |

Internal Assessment | 10 | |

Total | 50 |

### Internal Assessment Class 9 Term I

Internal Assessment |
Marks |

Periodic Tests | 03 |

Multiple Assessments | 02 |

Portfolio | 02 |

Student Enrichment Activities-practical work | 03 |

Total Marks | 10 |

### CBSE Class 9 Maths Unit wise weightage for Second Term

Units |
Unit Name |
Marks |

I | Algebra (Cont.) | 12 |

II | Geometry (Cont.) | 15 |

III | Mensuration (Cont.) | 09 |

IV | Statistics and Probability | 04 |

Total | 40 | |

Internal Assessment | 10 | |

Total | 50 |

### Internal Assessment Class 9 Term II

Internal Assessment |
Marks |

Periodic Tests | 03 |

Multiple Assessments | 02 |

Portfolio | 02 |

Student Enrichment Activities-practical work | 03 |

Total Marks | 10 |

## Frequently Asked Questions

### How long should a Class 9 student practice math?

It's good to practice math for about 1-2 hours each day. Regular practice is important.

### How can I download the NCERT Solution for Class 9 Maths?

You can download the NCERT Solution for Class 9 Maths from NCERT's official websites or Infinity Learn Page.

### How can I learn Class 9 Maths chapters quickly and efficiently?

Break chapters into smaller parts, understand them step by step. Practice problems and use techniques like summarizing to remember.

### How to get 100 marks in 9th class Math?

Focus on understanding concepts, practice regularly, solve previous years' papers, and ask for help when needed.

### Which is the easiest chapter in Class 9 Maths?

Number Systems is often considered one of the easier chapters in Class 9 Maths

### Which is the toughest chapter in 9th Maths?

Many find Quadrilaterals challenging due to its properties and theorems.