**Discover Class 9 Maths NCERT Solutions for final exams aligned with new Textbook**

Tiwari Academy offers an extensive range of NCERT Solutions for Class 9 Maths in Hindi and English Medium, designed with precision to align seamlessly with the 9th-grade mathematics textbook from the National Council of Educational Research and Training (NCERT) in Bharat. Our website and apps provide easy access to these solutions, making them a go-to resource for students seeking comprehensive Class 9 Maths Solutions.

## NCERT Solutions of Class 9 Maths

Stay ahead with the Tiwari Academy’s Ncert Solutions that help students navigate the complexities of the latest edition rationalized books for the 2023-24 exams. These expertly curated guides are essential for students seeking clarity in mathematical concepts and problem-solving from their NCERT textbooks.

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. Circles

Chapter 10. Heron’s Formula

Chapter 11. Surface Areas and Volumes

Chapter 12. Statistics

**For other State Boards**

Chapter 13. Surface Areas and Volumes

Chapter 14. Statistics

Chapter 15. Probability

The solution is modified and revised as per CBSE and State board 7th Maths curriculum 2023-24 guidelines. Provide feedback and Review for your experience. NCERT textbook solutions at Tiwari Academy are clear and concise and include examples to help students solve problems. Developing math skills using ncert solutions at Tiwari Academy or any similar educational platform involves a systematic approach to studying and practicing mathematical concepts. Here’s a step-by-step guide in Hindi and English Medium on how you can use NCERT Solutions to enhance your Maths skills.

Class 9 Solution Apps Download

Class 9 Math solutions can be found in various formats, including printed books, online resources, and mobile applications. Many websites, like Tiwari Academy, and educational platforms offer free access to these solutions, making them readily available to students seeking additional help and guidance in their mathematics studies.

Class: 9 | Mathematics |

Number of Chapters: | 12 (Twelve) |

Content: | NCERT Solutions and Extra Questions |

Content Mode: | Text, PDF and Videos Format |

Academic Session: | Year 2023-24 |

Medium: | Hindi and English Medium |

**Historical Development and Proof Concept**

The concept of a mathematical proof and its rigor originated in Greek mathematics, notably in Euclid’s Elements. Mathematics was traditionally divided into arithmetic and geometry until the introduction of algebra and calculus. The interaction between mathematical innovations and scientific discoveries has significantly accelerated the development of both fields.

### Class 9 Maths Chapter wise Marking Scheme for 2023-24 Exams

Chapters | Marks |
---|---|

1. Number Systems | 10 |

2. Polynomials and 4. Linear Equations in Two Variables | 20 |

3. Coordinate Geometry | 04 |

5. Introduction to Euclid’s Geometry, 6. Lines and Angles, 7. Triangles, 8. Quadrilaterals and 9. Circles | 27 |

10. Heron’s Formula and 11. Surface Areas and Volumes | 13 |

12. Statistics | 06 |

Pen Paper Test and Assessment | 10 |

Portfolio | 05 |

Lab Practical | 05 |

Total | 100 |

The NCERT solutions for Class 9 Maths include step-by-step explanations and solutions for each exercise and chapter in the textbook. Get here the help in NCERT Solutions based on Class 9 Maths in dual language English and Hindi Medium. They cover a wide range of mathematical topics, including algebra, geometry, number systems, statistics, and more.

It is prepared accordance with the CBSE session 2023-24. These solutions are designed to help students grasp the concepts and principles of mathematics, enhance their problem-solving skills, and prepare for their examinations. 9th Maths solutions are provided by expert teachers, keeping all the steps in mind. That is why these are extremely simple to understand.

Maths is always tricky for the students. That is why students of Class 9 face problems while solving the problem of Maths using direct method. So they used to go for searching the easy and effective steps of solving Maths problems. NCERT solutions are considered very useful for students as they are developed by experts and adhere to the curriculum prescribed by the educational board.

If you are searching for the Class 9 Maths UP Board NCERT Solutions revised for 2023-24 exams, then not to worry, find NCERT textbook solutions for Class 9 Mathematics here for all chapters which will help you a lot in scoring more marks in the examination. They provide a solid foundation for understanding mathematical concepts and enable students to excel in their studies.

NCERT Solution Apps for 9th Class

You can get to know about various concepts while solving Class 9 Maths NCERT Solutions, which will be useful in your higher classes. Get Class 9th Maths question answers for the new Academic year based on latest NCERT book syllabus.

Educational apps can send notifications and reminders for important dates, exams, or study schedules, helping students stay organized and on track with their studies. Apps offer progress tracking and performance analytics. Students can monitor their scores, completion of exercises, and areas where they need improvement.

You just only need to click simply on the chapter name and get started learning. You can download offline app for Class 9 Maths NCERT Solutions and learn offline anywhere. Tiwari Academy website have facility to get both online and offline NCERT Solutions for Class 9 Maths PDF.

**How to Score well in class 9 Maths Exams**

For a Class 9 student aiming to excel in Maths, a structured approach to learning and practice is key. Start by thoroughly understanding the syllabus and the fundamental concepts it covers. This includes topics like Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, and Statistics & Probability. Establish a consistent study routine, dedicating specific time slots each day to Maths. This regularity helps in building a strong foundation and makes complex topics easier to grasp. Utilize your textbooks, especially NCERT, as they provide a comprehensive explanation of concepts and a variety of practice problems. It’s also beneficial to create a study plan that breaks down these topics into smaller, more manageable sections, allowing for focused study sessions.

Practice is crucial in Maths, so engage in solving a wide range of problems. This includes not only the exercises in your textbook but also additional problems from reference books or online resources. Regular practice helps in reinforcing concepts and improves problem-solving skills. When tackling difficult topics, don’t hesitate to seek clarification from teachers or consider joining study groups where you can learn collaboratively. Make use of past year papers or sample papers to familiarize yourself with the exam pattern and question types. This practice also aids in time management, a vital skill during exams. Keep track of common errors and work on rectifying them, as this can significantly improve your accuracy.

Maintaining a balanced approach is essential. Avoid overburdening yourself; ensure that you take regular breaks and engage in activities that relax your mind. Physical exercise, hobbies, or even short walks can be refreshing and help maintain focus during study sessions. Keep a positive mindset and believe in your ability to learn and improve. Regular self-assessment through quizzes or timed practice sessions can be beneficial. This not only helps in identifying areas that need more attention but also builds confidence. Remember, consistent effort, a clear understanding of concepts, and effective time management are the keys to excelling in Class 9 Maths.

### NCERT Solutions for Class 9 Maths All Chapters

These Chapter Wise NCERT Solutions for Class 9 Maths App is well designed with a simple method so that class 9 students can easily understand each sums solutions. The Class 9th NCERT Math textbook has a total of 15 chapters which are divided into seven units.

NCERT Class 9 Maths exercises solutions develop logical thinking skills so that students capable to solve all the sums once the concept is clear. Get here online learning materials such as NCERT Exemplar Class 9 Maths Solutions and the students are also advised to practice NCERT Exemplar Class 9 Maths Solutions to get an idea of question pattern in the final exam. Solving these Class 9th Maths solution in each chapter will assure positive results. Chapters covers in the NCERT 9th Math textbook are Number System, Polynomials, Introduction to Euclids Geometry, Quadrilaterals, Surface Areas, Heron’s Formula, and Volumes, Statistics etc.

#### NCERT Class 9 Maths Chapters Solutions

Students who are facing any trouble in solving tough Class 9th Maths problems can get best help from these CBSE Maths Class 9 Solutions of NCERT (https://ncert.nic.in/) textbooks. The syllabus contains 12 chapters with important topics. Here all solutions are well solved with step by step solutions so students are suggested to do practice all sums so that they can understand the upcoming class Maths syllabus easily. It builds your fundamental very clear and efficiency by solving theses exercise-wise solutions. You can also download 9th class NCERT book online here. And study it when you want.

##### NCERT Solutions for Class 9 Maths Chapter 1 – Number System

NCERT Solutions for Class 9 Maths Chapter 1 introduce you different topics such as rational numbers and irrational numbers. You can learn how to represent the integers, rational and irrational numbers in a line. Here you get an overall knowledge of the number line.

**Class 9 Maths Chapter 1 for CBSE Board**

Class 9 Maths Exercise 1.1 in English

Class 9 Maths Exercise 1.2 in English

Class 9 Maths Exercise 1.3 in English

Class 9 Maths Exercise 1.4 in English

Class 9 Maths Exercise 1.5 in English

**Class 9 Maths Chapter 1 Solution for State Boards**

Class 9 Maths Chapter 1 Exercise 1.1

Class 9 Maths Chapter 1 Exercise 1.2

Class 9 Maths Chapter 1 Exercise 1.3

Class 9 Maths Chapter 1 Exercise 1.4

Class 9 Maths Chapter 1 Exercise 1.5

Class 9 Maths Chapter 1 Exercise 1.6

**Class 9 Maths Chapter 1 in Hindi Medium**

Class 9 Maths Exercise 1.1 in Hindi

Class 9 Maths Exercise 1.2 in Hindi

Class 9 Maths Exercise 1.3 in Hindi

Class 9 Maths Exercise 1.4 in Hindi

Class 9 Maths Exercise 1.5 in Hindi

There are five exercises in this NCERT Solutions for Class 9 Maths Chapter 1 Number System, where you can also find all word problems based on 9th Class Maths NCERT Book. You can learn from these 9th Class Maths Book Solution, the representation of terminating and non-terminating recurring decimals, presentation of square roots of 2, 3, other non-rational numbers on the number line. You can deal with the laws of integral powers and rational exponents with positive real bases in Number Systems in this chapter. Download Chapter Number System Class 9 Maths Solutions in Hindi medium and English medium just by a simple click.

**Topics to Study in Class 9 Maths Chapter 1 Number Systems**

*Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
3. Definition of nth root of a real number.
4. Rationalization (with precise meaning) of real numbers of the type 1/(a + b√x) and 1/(√x + √y) (and their combinations) where x and y are natural number and a and b are integers.
5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)*

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

Get NCERT Solutions for Class 9 Maths Chapter 2 here with free of cost, and all solutions are solved by the professional Maths teacher. NCERT Solutions for Class 9 Maths Chapter 2 Polynomials introduced a particular type of algebraic expression, which are polynomial and terminology.

**Class 9 Maths Chapter 2 for CBSE Board**

Class 9 Maths Exercise 2.1 in English

Class 9 Maths Exercise 2.2 in English

Class 9 Maths Exercise 2.3 in English

Class 9 Maths Exercise 2.4 in English

**Class 9 Maths Chapter 2 Solution for State Boards**

Class 9 Maths Chapter 2 Exercise 2.1

Class 9 Maths Chapter 2 Exercise 2.2

Class 9 Maths Chapter 2 Exercise 2.3

Class 9 Maths Chapter 2 Exercise 2.4

Class 9 Maths Chapter 2 Exercise 2.5

**Class 9 Maths Chapter 2 in Hindi Medium**

Class 9 Maths Exercise 2.1 in Hindi

Class 9 Maths Exercise 2.2 in Hindi

Class 9 Maths Exercise 2.3 in Hindi

Class 9 Maths Exercise 2.4 in Hindi

This chapter Polynomial consists of variables and coefficients, its operations of addition, subtraction, multiplication and also non-negative integer exponents of variables. You can learn about the factorisation of polynomials. Here you can get knowledge about polynomial, degrees, coefficient, zeros and terms of a polynomial based on 9th Class Maths Book Solution. Download here Chapter Polynomials Class 9 Maths Solutions in Hindi medium and English medium by clicking the following links. Students who are searching for the 9th Class Maths Book Solution, get here easy solutions for all the exercises. You can learn offline in your desktop or mobile just downloading Solutions for Class 9 Maths PDF. You can also download Chapter Number System Class 9 Maths Solutions in Hindi medium and English medium here which are totally free.

**Rationalised Topics of Class 9 Maths Chapter 2 Polynomials**

*Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax² + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
Recall of algebraic expressions and identities. Verification of identities:
(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx
(x + y)³ = x³ + y³ + 3xy(x + y)
(x – y)³ = x³ – y³ – 3xy(x – y)
x³ + y³ = (x + y)(x² – xy + y²)
x³ – y³ = (x – y)(x² + xy + y²)
x³ + y³ + z³ – 3xyz = (x + y)(x² + y² + z² – xy – yz – 2zx)
and their use in factorization of polynomials.*

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

Students can get NCERT exercises solutions for Class 9 Maths Chapter 3 with free of cost. This chapter 3 introduced the concepts of the cartesian plane, coordinates of a point in the plane, terms, coordinate plan notations, x-axis, y-axis, x- coordinate, y-coordinate, quadrants, origin and many more.

**Class 9 Maths Chapter 3 for CBSE Board**

Class 9 Maths Exercise 3.1 in English

Class 9 Maths Exercise 3.2 in English

**Class 9 Maths Chapter 3 for State Boards**

Class 9 Maths Chapter 3 Exercise 3.1

Class 9 Maths Chapter 3 Exercise 3.2

Class 9 Maths Chapter 3 Exercise 3.3

**Class 9 Maths Chapter 3 in Hindi Medium**

Class 9 Maths Exercise 3.1 in Hindi

Class 9 Maths Exercise 3.2 in Hindi

A student has knowledge of the concepts of Abscissa and ordinates of a point as well plotting in XY – plane in this 9th Class Maths Book Solution. In NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry, You can also learn coordinate plane and the mutually perpendicular lines which are called axe. You can also download NCERT Solutions for Class 9 Maths PDF to learn offline anywhere. Get Chapter Number System Class 9 Maths Solutions in Hindi medium and English medium.

**Class 9 Maths Chapter 3 Coordinate Geometry Main Points**

*The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.*

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

NCERT Solutions for Class 9 Maths Chapter 4 teaches you here about the knowledge of linear equations in one variable. In this chapter, you can know about linear equations in two variables, such as ax + by + c = 0. You know how to graph of a linear equation in two variables.

**Class 9 Maths Chapter 4 for CBSE Board**

Class 9 Maths Exercise 4.1 in English

Class 9 Maths Exercise 4.2 in English

**Class 9 Maths Chapter 4 for State Boards**

Class 9 Maths Chapter 4 Exercise 4.1

Class 9 Maths Chapter 4 Exercise 4.2

Class 9 Maths Chapter 4 Exercise 4.3

Class 9 Maths Chapter 4 Exercise 4.4

**Class 9 Maths Chapter 4 in Hindi Medium**

Class 9 Maths Exercise 4.1 in Hindi

Class 9 Maths Exercise 4.2 in Hindi

There are only two exercises in this NCERT Solutions for Class 9 Maths Chapter 9 Linear Equations in Two Variables. You can download NCERT Solutions for Class 9 Maths PDF free of cost and study at any time anywhere. These 9th Class Maths Book solutions are solved by skilled Math teachers with easy methods. So that students can clear all the concepts of each math sum. Download free unlimited Chapter Linear Equations in Two Variables Class 9 Maths Solutions in Hindi Medium and English Medium. Share these links with your classmates and let them help to score good marks in the final exam.

**Topics to be covered in Class 9 Maths Chapter 4 Linear Equations in Two Variables**

*Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c = 0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.*

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

Get NCERT Solutions for Class 9 Maths Chapter 5 for all exercises. This chapter includes Euclid’s approach to geometry which is used the present-day geometry. In NCERT exercises for Class 9 Maths Introduction to Euclid’s Geometry defining common geometrical shapes and terms.

**Class 9 Maths Chapter 5 for CBSE Board**

Class 9 Maths Exercise 5.1 in English

**Class 9 Maths Chapter 5 for State Boards**

Class 9 Maths Chapter 5 Exercise 5.1

Class 9 Maths Chapter 5 Exercise 5.2

**Class 9 Maths Chapter 5 in Hindi Medium**

Class 9 Maths Exercise 5.1 in Hindi

There is only one exercise in this 9th Class Maths Book Solution which teach you deeper knowledge relation between axiom, postulates, and theorems. You can download here Chapter Euclid’s Geometry Class 9 Maths Solutions in Hindi medium and English medium.

**Syllabus of Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry**

*History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example:
(Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.*

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

NCERT Solutions for Class 9 Maths Chapter 6 revolves around the theorems present in the topics of Lines and Angles. In this NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles, there are three exercises which clear the chapter thoroughly about Lines and Angles.

**Class 9 Maths Chapter 6 Solutions for CBSE Board**

Class 9 Maths Exercise 6.1 in English

Class 9 Maths Exercise 6.2 in English

**Class 9 Maths Chapter 6 Solutions for State Boards**

Class 9 Maths Chapter 6 Exercise 6.1

Class 9 Maths Chapter 6 Exercise 6.2

Class 9 Maths Chapter 6 Exercise 6.3

**Class 9 Maths Chapter 6 in Hindi Medium**

Class 9 Maths Exercise 6.1 in Hindi

Class 9 Maths Exercise 6.2 in Hindi

The sum of angles of a triangle is 180 and theorems are explained here with all related questions. 9th Class Maths Book Solution are provided here are well-reviewed. You can download free NCERT Solutions for Class 9 Maths PDF for offline study. You are advised to practice these solutions thoroughly to get maximum marks in the final exam. You can download Chapter Lines and Angles Class 9 Maths Solutions in Hindi medium and English medium. Choose the particular medium links solution below as per your need.

**Class 9 Maths Chapter 6 Lines and Angles Topics**

*1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and the converse.
2. (Prove) If two lines intersect, vertically opposite angles are equal.
3. (Motivate) Lines which are parallel to a given line are parallel.*

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

Get NCERT Solutions for Class 9 Maths Chapter 7, and students will study detail knowledge about the triangle, congruence of triangles, rules of congruence, and its properties of triangles and many more.

**Class 9 Maths Chapter 7 Solutions for CBSE Board**

Class 9 Maths Exercise 7.1 in English

Class 9 Maths Exercise 7.2 in English

Class 9 Maths Exercise 7.3 in English

**Class 9 Maths Chapter 7 Solutions for State Boards**

Class 9 Maths Chapter 7 Exercise 7.1

Class 9 Maths Chapter 7 Exercise 7.2

Class 9 Maths Chapter 7 Exercise 7.3

Class 9 Maths Chapter 7 Exercise 7.4

Class 9 Maths Chapter 7 Exercise 7.5

**Class 9 Maths Chapter 7 in Hindi Medium**

Class 9 Maths Exercise 7.1 in Hindi

Class 9 Maths Exercise 7.2 in Hindi

Class 9 Maths Exercise 7.3 in Hindi

In this 9th Class Maths Book Solution, you will also prove the properties of the triangle which you learn about in previous classes. Here you can also apply the various congruence rules while solving the problems. In this chapter, you can learn about eight theorems. There are three exercises which cover in this NCERT Solutions for Class 9 Maths Chapter 7 Triangles. Here you can download free unlimited NCERT Solutions for Class 9 Maths PDF to learn offline anywhere. Get Chapter Triangles Class 9 Maths Solutions in Hindi medium and English medium.

**Class 9 Maths Chapter 7 Triangles Main Points to Study**

*1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).
3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
5. (Prove) The angles opposite to equal sides of a triangle are equal.
6. (Motivate) The sides opposite to equal angles of a triangle are equal.*

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

Find NCERT Solutions for Class 9 Maths Chapter 8, which covers the topic Quadrilaterals. The joining four points in order is called a quadrilateral. The exercises of 9th Maths Chapter 8 Quadrilaterals provides you to the depth of the topics of Quadrilateral.

**Class 9 Maths Chapter 8 for CBSE and State Boards**

Class 9 Maths Exercise 8.1 in English

Class 9 Maths Exercise 8.2 in English

**Class 9 Maths Chapter 8 in Hindi Medium**

Class 9 Maths Exercise 8.1 in Hindi

Class 9 Maths Exercise 8.2 in Hindi

Class 9 Maths chapter 8 contains two exercises that contain only one theorem to prove. Here you learn about the total of nine theorems includes the application or conceptual level questions. This 9th Class Maths Book Solution includes Angle sum property of a Quadrilateral, properties of a parallelogram, and types of quadrilaterals etc. Download here Chapter Quadrilaterals Class 9 Maths Solutions in Hindi medium and English medium.

**Class 9 Maths Chapter 8 Quadrilaterals Focus Points**

*1. (Prove) The diagonal divides a parallelogram into two congruent triangles.
2. (Motivate) In a parallelogram opposite sides are equal, and conversely.
3. (Motivate) In a parallelogram opposite angles are equal, and conversely.
4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.*

##### NCERT Solutions for Class 9 Maths Chapter 9 – Circles

Here get well explained NCERT Solutions for Class 9 Maths Chapter Circles with free of cost. And also you no need to login and register to get solutions for all exercises. In this NCERT Solutions for Class 9 Maths Chapter 9 Circle, you learn that circle is a collection of all the points in a plane at a fixed distance.

**Class 9 Maths Chapter 9 for CBSE Board**

Class 9 Maths Exercise 9.1 in English

Class 9 Maths Exercise 9.2 in English

Class 9 Maths Exercise 9.3 in English

**Class 9 Maths Chapter 9 Solutions for State Boards**

Class 9 Maths Chapter 9 Exercise 9.1

Class 9 Maths Chapter 9 Exercise 9.2

Class 9 Maths Chapter 9 Exercise 9.3

Class 9 Maths Chapter 9 Exercise 9.4

**Class 9 Maths Chapter 9 in Hindi Medium**

Class 9 Maths Exercise 9.1 in Hindi

Class 9 Maths Exercise 9.2 in Hindi

Class 9 Maths Exercise 9.3 in Hindi

You get knowledge about circle including a Chord at a Point, Equal Chords. There are a total of twelve theorems present in this chapter. And there are three exercises in this chapter includes questions from all the concepts present in the chapter. Download NCERT Solutions for Class 9 Maths PDF without any cost and registration. You also get Chapter Circles Class 10 Maths Solutions in Hindi medium and English medium here. Choose your medium solutions link accordingly.

**Class 9 Maths Chapter 9 Circles Curriculum for 2023-24**

*1.(Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
2.(Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
5. (Motivate) Angles in the same segment of a circle are equal.
6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.*

##### NCERT Solutions for Class 9 Maths Chapter 10 – Heron’s Formula

Students get NCERT Solutions for Class 9 Maths Chapter 10, which covers Heron’s formula which is used to calculate the area of a triangle with all three sides length is given. By the help of Heron’s Formula, you can find out distances in the triangle without calculating.

**Class 9 Maths Chapter 10 for CBSE Board**

Class 9 Maths Exercise 10.1 in English

**Class 9 Maths Chapter 10 for State Boards**

Class 9 Maths Chapter 10 Exercise 10.1

Class 9 Maths Chapter 10 Exercise 10.2

Class 9 Maths Chapter 10 Exercise 10.3

Class 9 Maths Chapter 10 Exercise 10.4

Class 9 Maths Chapter 10 Exercise 10.5

Class 9 Maths Chapter 10 Exercise 10.6

**Class 9 Maths Chapter 10 in Hindi Medium**

Class 9 Maths Exercise 10.1 in Hindi

This formula is used to find out the areas of quadrilaterals, the area of triangles and other polygons. There is only one exercise in this NCERT Solutions for Class 9 Maths Chapter 10 Heron’s Formula. This chapter helps the student to better understand the method of solving the problems based on Heron’s formula. You can also download NCERT Solutions for Class 9 Maths Chapter 12 PDF and learn anytime in your desktop or mobile while offline. You can also get Chapter Heron’s Formula Class 9 Maths Solutions in Hindi medium and English medium here.

**Class 9 Maths Chapter 10 Heron’s Formula Main Points To Study**

*Area of a triangle using Heron’s formula (without proof)*

##### NCERT Solutions for Class 9 Maths Chapter 11 – Surface Areas and Volumes

NCERT Solutions for Class 9 Maths Chapter 11, learn to find the surface areas and volumes of cuboids and cylinders in details. In this NCERT Solutions for Class 9 Maths Chapter 11 Surface Areas and Volumes, you learn the surface areas of some other solids such as cones and spheres.

**Class 9 Maths Chapter 11 for CBSE Board**

Class 9 Maths Exercise 11.1 in English

Class 9 Maths Exercise 11.2 in English

Class 9 Maths Exercise 11.3 in English

Class 9 Maths Exercise 11.4 in English

**Class 9 Maths Chapter 11 Solutions for State Boards**

Class 9 Maths Chapter 11 Exercise 11.1

Class 9 Maths Chapter 11 Exercise 11.2

**Class 9 Maths Chapter 11 in Hindi Medium**

Class 9 Maths Exercise 11.1 in Hindi

Class 9 Maths Exercise 11.2 in Hindi

Class 9 Maths Exercise 11.3 in Hindi

Class 9 Maths Exercise 11.4 in Hindi

Here you can get detailed knowledge about the surface areas and volumes in earlier classes. There are four exercises in chapter 11 that covers surface areas and volumes of different solids such as cubes, cuboids, hemispheres, spheres, cylinders, cones etc. Download NCERT Solutions for Class 9 Maths PDF here without paying any cost and required no login detail. You can also get Chapter Surface Areas and Volumes Class 9 Maths Solutions in Hindi medium and English medium.

**The Points to be covered in Class 9 Maths Chapter 11 Surface Areas and Volumes**

*Surface areas and volumes of spheres (including hemispheres) and right circular cones.*

##### NCERT Solutions for Class 9 Maths Chapter 12 – Statistics

These best easy NCERT Solutions for Class 9 Maths Chapter 12, deals with Statistics which the extraction of meaningful information is studied is known as Statistics.

**Class 9 Maths Chapter 12 for CBSE Board**

Class 9 Maths Exercise 12.1 in English

**Class 9 Maths Chapter 12 Solutions for State Boards**

Class 9 Maths Chapter 12 Exercise 12.1

Class 9 Maths Chapter 12 Exercise 12.2

**Class 9 Maths Chapter 12 in Hindi Medium**

Class 9 Maths Exercise 12.1 in Hindi

Statistics is used in our daily life such as aspects of the life of people, useful to the State etc. This NCERT Solutions for Class 9 Maths Chapter 12 Statistics teaches the different presentation of the data, including the frequency distribution too. Presentation data in tubular and row form and grouping them in a regular interval. Here you learn to Mean, Mode and median as well. Get Chapter Statistics Class 9 Maths Solutions in Hindi medium and English medium.

**Class 9 Maths Chapter 12 Statistics Main Points**

*Bar graphs, histograms (with varying base lengths), and frequency polygons.*

##### NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes

Tiwari Academy NCERT solutions on Surface Areas and Volumes based on state board syllabus, Hindi and English medium, 2023-24 session. Achieve mastery in geometry with Tiwari Academy’s expert NCERT Solutions for Class 9 Maths Exercise 13.8, tailored for students in the 2023-24 session, available in both Hindi and English.

**Class 9 Maths Chapter 13 for State Boards**

Class 9 Maths Chapter 13 Exercise 13.1

Class 9 Maths Chapter 13 Exercise 13.2

Class 9 Maths Chapter 13 Exercise 13.3

Class 9 Maths Chapter 13 Exercise 13.4

Class 9 Maths Chapter 13 Exercise 13.5

Class 9 Maths Chapter 13 Exercise 13.6

Class 9 Maths Chapter 13 Exercise 13.7

Class 9 Maths Chapter 13 Exercise 13.8

Class 9 Maths Chapter 13 Exercise 13.9

##### NCERT Solutions for Class 9 Maths Chapter 14 Statistics

Access Class 9 Maths Chapter 14 Statistics solutions in Hindi and English. Perfect for CBSE students, our resources at Tiwari Academy are comprehensive and user-friendly.

**Class 9 Maths Chapter 1 Solution for State Boards**

Class 9 Maths Chapter 14 Exercise 14.1

Class 9 Maths Chapter 14 Exercise 14.2

Class 9 Maths Chapter 14 Exercise 14.3

Class 9 Maths Chapter 14 Exercise 14.4

##### NCERT Solutions for Class 9 Maths Chapter 15 Probability

Master Class 9 Maths with Chapter 15 Probability solutions, available in English and Hindi. Excel in CBSE exams with Tiwari Academy’s expert resources. Clear, concise, and free – your key to understanding Probability concepts.

**Class 9 Maths Chapter 15 Solutions for State boards**

Class 9 Maths Chapter 15 Exercise 15.1

##### Importance of NCERT Solutions for Class 9 Maths

NCERT stands for National Council of Educational Research and Training. NCERT was formed to give standardise the education system of India. NCERT Solutions for Class 9 Maths is very helpful will provide you with a detailed and in-depth understanding of all the questions and concepts of NCERT Textbooks. Excluding that there are so many other benefits of NCERT Solutions for Class 9 Maths.

**Explain Each And Every Concept in Detail**

NCERT Solutions for Class 9 Maths explain each and every concept in detail and in easy language. It helps you and so important for better understanding and scoring good marks in 9 class exams.

**Most Accurate Solutions**

All the NCERT Solutions for Class 9 Maths for all chapters are provided by the many years experienced teachers. All solutions are well-reviewed before provided. Students who have misguided by the wrong study materials before can study with these most accurate NCERT Solutions for Class 9 Maths.

**Student can learn Offline**

NCERT Solutions for Class 9 Maths for all chapters PDFS are available, so you can learn these subjects offline also by just downloading these PDFs. You can study anywhere and anytime. You can also share these PDF links to your classmates as well.

**Clear all Doubts**

Class 9 Students who have confusion with many topics in class 9 Maths, they can learn with these NCERT Solutions for Class 9 Maths for all chapters. These solutions are given in easy method, and it may clear your all doubts and concepts clear.

**Created the Best Subject Experts in Field**

Class 9 Maths solution provided by an expert math teacher who has been created by the high-quality subject matter experts. So you can get more marks with these high-quality study materials. All solutions are designed by following extensive research on the Math subject. So you will able to solve a wide range of problems at any difficulty level.

###### How are CBSE 9 Maths Solutions of NCERT Helpful for Final Exams?

CBSE 9 Maths Solutions of NCERT is sufficient to score more in 9th boards exams. With NCERT Solutions for Class 9 Maths, students will get complete guidance on every topics and sub-topics related to the respective chapter.

It is an effective and the best way to make students understand the subject and exclusively to perform well in the final exams. CBSE 9 Maths Solutions of NCERT are very helpful to get full marks in the final exam, but Just make sure you cover all the exercise and learn the theorems of the whole syllabus. Also, do not skip any topic of CBSE 9th Maths syllabus.

###### Feedback & Suggestions

A panel of experts from Tiwari Academy held a workshop of two days and thoroughly discussed the content quality and made some suggestions. Amendments were carried out in the English as well as Hindi draft accordingly.

The final draft was thus prepared. The solutions are prepared according to new syllabus for 2023-24 having classical approach of constructions and geometrical chapters. Get here UP Board Secondary Education (High School) Solution, Sample Papers, Notes and other study material.

### How to practice Class 9 Maths using NCERT Solutions?

According to rationalised NCERT Textbooks published for academic session 2023-24, the syllabus for class 9 Maths is reduced significantly. That is why, the NCERT Solutions for class 9 Maths is also modified and revised as per new session. NCERT Solutions can play a significant role in helping students score well in their Class 9 CBSE (Central Board of Secondary Education) Mathematics exams. Follow the steps given here to know how you can score well in exams using class 9 Maths solutions.

- Step 1: Use NCERT Solutions for Comprehensive Coverage of class 9 Maths textbook.
- Step 2: Verify your answers and learn about the Exam Pattern.
- Step 3: Revise the syllabus and use class 9 Maths NCERT Solution as a Revision Aid.
- Step 4: Make Effective Self Study in 9th Maths using NCERT Solutions.
- Step 5: Confined to new rationalised NCERT Textbooks and solve it using NCERT Solutions.

#### Step 1: Use NCERT Solutions for Comprehensive Coverage of class 9 Maths textbook.

#### Step 2: Verify your answers and learn about the Exam Pattern.

#### Step 3: Revise the syllabus and use class 9 Maths NCERT Solution as a Revision Aid.

#### Step 4: Make Effective Self Study in 9th Maths using NCERT Solutions.

#### Step 5: Confined to new rationalised NCERT Textbooks and solve it using NCERT Solutions.

### How many chapters are there in NCERT Class 9 Maths?

According to new syllabus, there are a total of 12 chapters present in the NCERT Class 9 Maths.

- Chapter 1- Number System,
- 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- Circles,
- Chapter 10- Heron’s Formula,
- Chapter 11- Surface Areas and Volumes,
- Chapter 12- Statistics,

These are the chapters in Class 9 of NCERT Maths. And you need to cover all the chapters to get full marks in your final exam.

### How can I get more than 80% marks in Class 9 Maths Exams?

Most of the chapters in Class 9 Maths are easy to understand. If we try to learn by doing, the mathematics become simple and interesting subject otherwise it would be a burden for us. Get concentrated on your NCERT Textbook 2023-24 and start practicing with understanding to score well with less efforts.

How to practice questions:

Read the preface of the chapter and see the pattern of each example given before the exercises. Now taking the hints from these solved example, try to solve the questions of exercises by own. Don’t take help from teachers or online website when your are solving the questions. After trying many time if still not getting the correct answers, then consult your respective teacher or visit to Tiwari Academy to take help from PDF Solutions or videos solutions.

### Is class 9 maths tough?

In real maths of class, 9th and 10th are both very easy. But practically you can say class 9th maths is tough for you because you introduced some new topics and topics in the advanced level study here. In previous classes like 8th, 7th and 6th, the maths you study is very basic and somehow simple. So your mindset is for that simple maths method with very fewer logics and formulas. Some student class 9 get confusion with the syllabus.

### How can I perform best in Terminal exams of Class 9 Maths?

There are so many chapters in class 9 Maths which are easy and interesting to work with. When you are in energetic mood, start doing the chapter which you considered as difficult one but if you are tired and still want to practice mathematics, start with an easier chapter. Studying in this manner make the mathematics interesting and easier.