math solve question class 9

NCERT Solutions for Class 9 Maths

Chapter Wise Class 9 Maths NCERT Solutions Class 9 Maths Syllabus for 2024-25 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

NCERT Solutions of Class 9 Maths

NCERT Solutions for Class 9 Maths in Hindi and English Medium updated for session 2024-25. Tiwari Academy offers the best NCERT Solutions for Class 9 Maths designed with precision to align with the 9th-grade mathematics textbook from NCERT in India. Tiwari Academy’s NCERT Solutions are helpful for students seeking clarity in mathematical concepts and problem-solving from their NCERT textbooks.

The solution is modified and revised as per CBSE and State board 9th Maths curriculum 2024-25 guidelines. Provide feedback and Review for your experience. 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.

CBSE Syllabus for Class 9 Maths Revised for 2024-25

• CBSE Syllabus for Class 9 Maths

NCERT solutions are considered very useful for students as they are developed by subject experts based on curriculum prescribed by CBSE. If you are searching for the Class 9 Maths UP Board NCERT Solutions revised for 2024-25 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.

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 current syllabus and the fundamental concepts it covers.

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 mathematics through quizzes or timed practice sessions can be beneficial. This not only helps in identifying areas that need more attention but also builds confidence.

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 12 chapters which are divided into six units. Solving 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 build your fundamental very clear and efficiency by solving theses exercise-wise solutions.

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.

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. 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.

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

In NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry, students learn coordinate plane and the mutually perpendicular lines which are called axe. They downloads 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, know about linear equations in two variables, such as ax + by + c = 0. Learn here 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. Download NCERT Solutions for Class 9 Maths PDF free of cost and study at any time anywhere. Students take the benefits clearing 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.

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. 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.

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

9th Maths Book Solution are provided here are well-reviewed. Get free NCERT Solutions for Class 9 Maths in PDF for offline study. Practice these solutions thoroughly to get maximum marks in the final exam. Download Chapter Lines and Angles Class 9 Maths Solutions in Hindi medium and English medium.

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 Maths Book Solution, we have to prove the properties of the triangle which you learn about in previous classes. Apply the various congruence rules while solving the problems. In this chapter, students learn about eight theorems. There are three exercises which cover in this NCERT Solutions for Class 9 Maths Chapter 7 Triangles. 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.

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. These Solutions include 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 no need to login and register to get solutions for all exercises. In this NCERT Solutions for Class 9 Maths Chapter 9 Circle, 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

Get knowledge about circle including a Chord at a Point, Equal Chords. There are a total of twelve theorems present in this chapter. Download  NCERT Solutions for Class 9 Maths PDF without any cost and registration. Get Chapter 9 Circles Class 10 Maths Solutions in Hindi medium and English medium here.

Class 9 Maths Chapter 9 Circles Curriculum for 2024-25 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, 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. Download NCERT Solutions for Class 9 Maths Chapter 12 PDF and learn anytime in desktop or mobile while offline.

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, 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 students 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. 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. These 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 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, 2024-25 session. Achieve mastery in geometry with Tiwari Academy’s expert NCERT Solutions for Class 9 Maths Exercise 13.8, tailored for students in the 2024-2025 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 standard 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 learn these subjects offline also by just downloading these PDFs. You can study anywhere and anytime.

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 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 get more marks with these high-quality study materials. All solutions are designed by following extensive research on the Math subject. Be 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 .

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 2024-25 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 new NCERT Textbooks published for academic session 2024-25, 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 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..

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 2024-25 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.

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NCERT Solutions for Class 9 Maths

NCERT solutions for class 9 maths comprise the analysis and explanation of all the problems covered by the NCERT textbook for 9th grade. The solutions are provided in a detailed manner to ensure that students can understand concepts as they go through them. These class 9 maths NCERT solutions are prepared by some of the most accomplished experts in the field of Mathematics.

Class 9th Maths NCERT Solutions are extremely helpful for students preparing for CBSE exams and state or national competitive tests such as Olympiads. The CBSE examinations follow the structure provided by the NCERT textbooks. Additionally, CBSE NCERT solutions for class 9 maths help in getting students ready to face class 10th and the corresponding board exams.

NCERT Maths Class 9 Solutions PDF Download

Practicing these class 9 maths NCERT solutions can help students to increase their theoretical skills and practical knowledge. The solutions to all NCERT class 9 maths sums are available for free pdf download. You can find tips and tricks included with the solutions. The links to these pdf solutions are given below.

Class 9th Maths NCERT Solutions Chapter 1 to 15

As a student, you must indulge in constant revision and practice all the solutions. Thus, revisiting the above-mentioned links periodically is a must. Start by attempting the questions in the NCERT book and then have a look at these class 9th maths NCERT solutions. You can download the NCERT textbook given below and begin your learning journey.

☛ Download Class 9 Maths NCERT Book

NCERT Solutions for Class 9 Maths Chapter 1

NCERT solutions for class 9 maths chapter 1 number systems help students amass the tools required to identify rational and irrational numbers , locate real numbers on a number line , and convert a real number to its decimal form. The solutions to this chapter also give students a good understanding of simplifying expressions using certain identities and laws of exponents .

Important Formulas:

• √(ab) = √a √b
• √(a/b) = √a/√b
• (√a + √b)(√a - √b) = a - b
• (√a + √b)2 = a + b + 2√(ab)

Class 9 Maths Chapter 1 Real Numbers

Topics Covered: NCERT solutions for class 9 maths cover questions based on rationalizing the denominator , the rules of exponentiation, identities applied to positive real numbers, expanding a real number into its decimal form, and vice versa.

Total Questions: Chapter 1 has a total of 27 questions, out of which 5 are easy, 7 are moderate and 10 are difficult.

NCERT Solutions for Class 9 Maths Chapter 2

NCERT solutions for class 9 maths chapter 2 polynomials help students form the basics of polynomials that will be used in higher classes. Students learn about the types of polynomials in one variable, degree and zeros of a polynomial , the remainder theorem , factorization of polynomials , and the application of algebraic identities.

• (x + y) 2 = x 2 + 2xy + y 2
• x 2 - y 2 = (x + y) (x - y)
• (x + a) (x + b) = x 2 + (a + b)x + ab
• (x - y) 2 = x 2 - 2xy + y 2
• (x + y + z) 2 = x 2 + y 2 + z 2 + 2xy + 2yz + 2zx

Class 9 Maths Chapter 2 Polynomials

Topics Covered: Factorization of different polynomials using the splitting method and factor theorem , finding the remainder of a polynomial, applying algebraic identities to simplify sums, and determining the zeros of a polynomial.

Total Questions: Class 9 maths chapter 2 polynomials have 33 questions. 10 are of a moderate level, 14 are easy and 9 are challenging sums.

NCERT Solutions for Class 9 Maths Chapter 3

NCERT solutions for class 9 maths chapter 3 coordinate geometry help students to get a grasp on how to describe the position of an object using coordinates and explanation of the cartesian system . It acts as a foundation for further chapters that require students to use their knowledge to solve geometrical problems.

Class 9 Maths Chapter 3 Coordinate Geometry

Topics Covered: Determining the x and y coordinates of a point in a cartesian plane, identifying quadrants, locating an object, and expressing it in the form of coordinates are the topics under class 9 maths NCERT solutions.

Total Questions: There are 6 questions in class 9 maths chapter 3 coordinate geometry. 3 are difficult, 2 are medium level and 1 is an easy question.

Class 9 Maths Chapter 3 Summary:

Class 9 maths NCERT solutions chapter 3 gives a brief overview of the definition of the origin, how to use the horizontal x-axis and vertical y-axis to pinpoint the position of an object. It also helps students determine what quadrant does a point lies in depending upon the signs of the coordinates.

NCERT Solutions for Class 9 Maths Chapter 4

NCERT solutions for class 9 maths chapter 4 linear equations in two variables introduce students to a linear equation in two variables by helping them understand the concepts behind it. The solutions include solving linear equations , graphical representation methods, and the depiction of parallel lines.

Linear equations are one of the most important chapters covered in class 9 maths NCERT solutions . The following are a few tips that can help you power through these solutions quickly and efficiently.

• Build an understanding of the concepts
• Revision of the topic at regular intervals
• Understanding the general form of a line

Class 9 Maths Chapter 4 Linear Equations in Two Variables

Topics Covered: Finding solutions to a linear equation by substituting values, representing a linear equation in two variables graphically, and how to write the equation of lines parallel to the x-axis.

Total Questions: Chapter 4 linear equations in two variables have a total of 16 questions. 8 require students to carefully think and attempt the problem, 5 are moderate and 4 are easy sums.

NCERT Solutions Class 9 Maths Chapter 5

NCERT solutions class 9 maths chapter 5 introduction to Euclid’s geometry gives students an insight into the definitions of points, lines, surfaces, and so on. Students also get an idea of the 5 postulates given by Euclid that are used to solve geometry problems.

Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

Topics Covered: Euclid’s five postulates dealing with line segments, radii, perpendicular lines , and the variation of the fifth postulate are the topics covered under NCERT solutions class 9 maths.

Total Questions: Chapter 5 introduction to Euclid’s Geometry has 9 questions, 4 are simple, 3 are intermediate and 2 are tough sums.

The chapter deals with five postulates given by Euclid regarding a straight line, a terminating line, a circle, and its radius, as well as right angles . Students also learn about the two equivalent versions of Euclid’s fifth postulate that led to the discovery of other theorems.

Class 9 Maths NCERT Solutions Chapter 6

Class 9 maths NCERT solutions chapter 6 lines and angles give students an understanding of the basic definitions of various terms that are used in geometry . Students learn about the different types of angles, pairs of angles, transversals, parallel lines , angle sum property of triangles, and axioms associated with these concepts.

Class 9 Maths NCERT Solutions Chapter 6 Preparation Tips

There are a number of properties taught in this chapter that students must learn. The following points can help in streamlining this process.

• Practice several questions on properties of angles that get formed when a transversal intersects 2 or 3 parallel lines.
• Understand the reasoning behind theorems such as the angle sum property of a triangle.
• Make a note of the relationship between pairs of angles.

Cuemath is one of the world's leading math learning platforms that offers LIVE 1-to-1 online math classes for grades K-12 . Our mission is to transform the way children learn math, to help them excel in school and competitive exams. Our expert tutors conduct 2 or more live classes per week, at a pace that matches the child's learning needs.

Class 9 Maths Chapter 6 Lines and Angles

Topics Covered: Adjacent angles, vertically opposite angles, linear pairs of angles, alternate angles , corresponding angles , parallel lines, and transversal are topics falling under Class 9 maths NCERT solutions. In addition to this, problems based on the angle sum property of a triangle are also included in these solutions.

Total Questions: There are a total of 18 questions in class 9 maths chapter 6 lines and angles. 10 are very easy property-based questions, 5 require some thinking on a student’s part and 3 are difficult sums.

NCERT Solutions for Class 9 Maths Chapter 7

NCERT solutions for class 9 maths chapter 7 triangles are a fantastic way for students to learn about the congruence of triangles using the SAS, SSS, ASA, RHS criteria. Several properties of triangles along with concepts on the inequality of triangles also fall under the scope of this chapter.

Class 9 Maths Chapter 7 Triangles

Topics Covered: Questions based on applying properties of triangles, proving the congruence of two triangles using different methods, and theorems on the inequality of triangles are the topics covered.

Total Questions: Class 9 maths chapter 7 has 31 questions. 10 are simple questions based on applying the properties of triangles, 9 are complex sums and 12 are moderate problems.

Chapter Summary:

In this chapter, students learn about the SSS, SAS, ASA, and RHS congruence criteria. Students can get a good grasp on properties of triangles such as sides opposite to equal angles are equivalent, the sum of any two sides of a triangle is greater than the third side, and so on. Thus, after studying this chapter students can master the basic concepts of a triangle.

NCERT Solutions for Class 9 Maths Chapter 8

NCERT solutions for class 9 maths chapter 8 quadrilaterals comprise questions that teach students about the different types of quadrilaterals such as squares , rhombuses , rectangles , parallelograms, and their properties.

Class 9 Maths Chapter 8 Quadrilaterals

Topics Covered: Angle sum property of quadrilaterals, properties of a parallelogram , square, and rhombus that depend upon different factors such as length of diagonals, the measure of sides, etc. It also includes the mid-point theorem .

Total Questions: 19 sums - 8 are simple problems, 6 are of an intermediate level and 5 are challenging questions.

Class 9 Maths NCERT Solutions Chapter 9

Class 9 maths NCERT solutions chapter 9 areas of parallelograms and triangles include various theorems that help to simplify finding the area of complex parallelograms as well as triangles, properties to find the area of triangles divided by a median, and area of planar regions.

• Area of a triangle = ½ × base × height
• Area of a parallelogram = base × height

Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles

Topics Covered: Topics covered incorporate questions on finding the area of two or more triangles and parallelograms with the same base between the same parallels, determining the area of triangles that are split by a median as well as the area of congruent figures.

Total Questions: Chapter 9 areas of parallelograms and triangles have a total of 31 questions. 8 questions belong to an optional exercise with a high difficulty level, 14 are intermediate and 9 are simple sums.

NCERT Solutions for Class 9 Maths Chapter 10

NCERT solutions for class 9 maths chapter 10 circles build a foundation for students by introducing them to the various terms related to circles. Students get the opportunity to build their knowledge base on properties of chords, the angle subtended by chord and arc, perpendicular to a point, the distance of a chord from the center as well as cyclic quadrilaterals .

Preparation Tips:

NCERT solutions for class 9 maths chapter 10 are purely based on the properties of various elements of a circle. To memorize these theorems you can follow the topics listed below.

• Make a note of all the properties so that you can skim through them when required.
• Solve all NCERT textbook questions.
• Regularly revise the solutions so that you can recall them when necessary.

Class 9 Maths Chapter 10 Circles

Topics Covered: NCERT solutions class 9 maths encompass topics such as angles subtended by a chord at a point, perpendiculars dropped from the center to a chord, and how to calculate the distance of equal chords from the center. Other discussions include angles subtended by an arc of the circle, cyclic quadrilaterals, and their attributes.

Total Questions: There are a total of 35 questions in this chapter out of which 15 are relatively simpler, 10 are complex and 10 are of moderate complexity.

NCERT Solutions for Class 9 Maths Chapter 11

NCERT solutions for class 9 maths chapter 11 constructions will teach students how to precisely use geometrical instruments for basic constructions. Students learn to construct different angles , perpendicular bisectors , and triangles with a few given restraints.

Class 9 Maths Chapter 11 Constructions

Topics Covered: Constructing an angle from a ray, bisector of a given angle, and techniques to construct triangles when certain constraints such as the perimeter are mentioned, are the topics explained in this chapter.

Total Questions: Chapter 11 constructions have a total of 10 questions. 3 can be simply solved, 5 are moderate questions and 2 are difficult.

After studying NCERT solutions class 9 maths chapter 11 students will be adept at using a ruler and compass to bisect a given angle, construct angles of discrete values, draw the perpendicular bisector of a line segment , and building triangles.

NCERT Solutions for Class 9 Maths Chapter 12

NCERT solutions for class 9 maths chapter 12 heron’s formula is a formula given by the Hero of Alexandria to calculate the area of a triangle when the lengths of all three sides are known. In this chapter, students will learn more about the application of this formula to find the area of triangles and quadrilaterals .

• Semi Perimeter s = (a + b + c)/2
• Area of a Triangle = √[s (s - a) (s - b) (s - c)]

Class 9 Maths Chapter 12 Heron’s Formula

Topics Covered: NCERT Solutions class 9 maths chapter 12 cover the complete scope of Heron’s formula and how to apply it to questions for determining the area of a triangle. Additionally, this formula is also used for computing the area of a quadrilateral .

Total Questions: Chapter 12 heron’s formula consists of 15 well-curated questions out of which 5 are simple, 3 and medium level and 7 are difficult problems.

Class 9 Maths NCERT Solutions Chapter 13

Class 9 maths NCERT solutions chapter 13 surface areas and volumes introduce students to the concepts required to find the total surface areas, lateral or curved surface areas, and volumes of different shapes. The concepts and formulas in this chapter are very important as they form the basis of topics covered in higher education.

• TSA of a Cuboid = 2(lb + bh + hl)
• TSA of a Cube = 6a 2
• TSA of a Cylinder = 2πr(r + h)
• TSA of a Cone = πr(l + r)
• TSA of a Sphere = 4πr 2
• TSA of a Hemisphere = 3πr 2

Class 9 Maths Chapter 13 Surface Areas and Volumes

Topics Covered: Finding the TSA, LSA/CSA, along with the volume of shapes such as cubes, cuboids, right circular cylinder , right circular cone , sphere, and hemisphere.

Total Questions: Chapter 13 surface areas and volumes have 75 questions. 25 are easy formula-based sum, 31 are medium level and 10 are difficult problems that challenge a student’s thinking abilities.

Class 9 Maths NCERT Solutions Chapter 14

Class 9 maths NCERT solutions chapter 14 statistics provide an in-depth analysis of problems that are based on the collection and presentation of data for analytical purposes, graphical representation of data using different types of graphs, and measures of central tendency . This chapter enables students to develop their calculation speed and visualization skills.

Class 9 Maths Chapter 14 Statistics

Topics Covered: Representation of data in the form of frequency tables and drawing inferences from them, plotting data points using bar graphs , histograms , and frequency polygons, finding the mean , median , and mode of the given data .

Total Questions: Chapter 14 statistics have 26 problems that can be split into 8 long answer-type questions, 11 moderate, and 7 simple sums.

Once students finish practicing class 9 maths NCERT solutions chapter 14 they will have a good understanding of the purpose of well-organized data, the three measures of central tendency for ungrouped data namely mean, median, and mode. Students can effectively apply these formulas to all levels of problems after studying this topic.

NCERT Solutions Class 9 Maths Chapter 15

NCERT solutions class 9 maths chapter 15 probability help students deal with daily-life problems that require the use of probability concepts. This chapter helps students explore more about empirical probability, the definition of an event, and how to calculate the probability of different events.

NCERT Maths Class 9 Chapter 15 Study Tips

NCERT solutions class 9 maths chapter 6 probability is a widely used topic that people require to perform their day-to-day operations. Given below are some study tips that can help in comprehending this chapter in a better manner.

• Apply the concept to simple daily life questions.
• Practice the solutions regularly to get the best results.
• Read the question carefully and break it down to get a better idea of what has to be done.

NCERT Maths Class 9 Chapter 15 Probability

Topics Covered: Finding the probability of the occurrence of heads or tails when a coin is flipped, tossing a die, and drawing conclusions from the result obtained are the topics covered in NCERT solutions class 9 maths.

Total Questions: Chapter 15 probability has 13 questions. 4 are short answer problems, 3 are difficult and 6 are moderate sums.

Class 9 Maths NCERT Solutions Important Formulas

Class 9 maths covers several topics such as polynomials, number systems, geometry, probability, etc. The formulas and concepts behind these topics are required to understand higher grade mathematics. Formulas are required to reduce the time taken to solve questions and increase accuracy. Given below is an overview of the important maths formulas encompassed in the NCERT solutions for class 9 maths.

• Area of a triangle = ½ * b × h
• Perimeter of a triangle = a + b + c
• Area of parallelogram = b × h
• Perimeter of a parallelogram = 2(a + b)

Surface Area and volume:

• TSA of a cuboid = 2(lb + bh +lh)
• Volume of a cuboid = l×b×h
• TSA of a cube = 6a 2
• Volume of a cube = a 3
• (a + b) 2 = a 2 + b 2 + 2ab
• (a - b) 2 = a 2 + b 2 - 2ab
• (a + b) (a - b) = a 2 - b 2

Importance of NCERT Solutions for Class 9 Maths

Class 9 Maths NCERT Solutions are extremely helpful for CBSE students as they give a means for efficient time management and improving auxiliary abilities. The following are the advantages of these solutions.

• Practical Applications: Many of the sums provided by the NCERT textbook are similar to real-life examples, especially when word problems are considered. By following the class 9 maths NCERT solutions students can come up with precise solutions that can also be applied to daily life problems.
• Practice: To solve the toughest sums within a matter of minutes you need due diligence and regular practice. These NCERT solutions for class 9 maths are very helpful for this purpose as they give students a detailed overview of how to solve different types of sums. They can also help a student to complete the syllabus well within the given time frame.
• Regular Revision: On examination days, students do not have the time to solve each and every question. Thus, these NCERT solutions class 9 maths help students with a quick revision of the entire syllabus. This also helps to free up time so that students can focus on ensuring that their concept formation is correct and can be accurately applied to sums.

FAQs on NCERT Solutions for Class 9 Maths

Why are ncert solutions for class 9 maths important.

NCERT solutions for class 9 maths are vital for students as they provide reliable solutions that students can use to cross-check their answers. These class 9 maths NCERT solutions also guide students on how to appear for an examination so that students can write their answers without missing any steps and get the best possible score.

Where Can I Get Chapter-wise Solutions for NCERT Class 9 Maths?

The chapter-wise solutions for NCERT class 9 maths can be accessed by the links mentioned above. They are further segregated into exercise-wise pdfs that are available for free download. These pdfs are also compatible with mobile screens and are in a scrollable format for easy use.

How CBSE Students can utilize Class 9 Maths NCERT Solutions?

To effectively utilize class 9 maths NCERT solutions students need to ensure that they have an understanding of the concepts used to solve the problems. Thus, when they start consulting these solutions students will comprehend them in a better manner and will be able to retain what they learned more efficiently.

Do I Need to Make Notes while Referring to NCERT Solutions Class 9 Maths?

Notes act as a simplified guide for students when they are trying to build an understanding of the subject or if they are revising that question. It is a good way of retaining and recalling concepts when required. Thus, it is crucial that students make notes of the NCERT solutions class 9 maths to expedite their learning process.

What are the Best Ways to Learn Concepts Covered in NCERT Solutions Class 9th Maths?

The most impactful way to learn concepts covered in NCERT solutions class 9th maths is by constantly practicing these solutions. If a student finds some concept difficult and cannot proceed further while attempting a problem he needs to immediately clarify his doubts so that there is no gap in learning.

Can We Use Other Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions for Class 9 Maths?

You may not want to use the method given in the NCERT solutions for class 9 maths however, the approach used and the answer obtained need to be universally recognized. Having said that you cannot use the tricks that are useful in solving competitive exam problems as these are not standardized techniques.

Why Choose Cuemath for Class 9 Maths NCERT Solutions?

The best website for class 9 maths NCERT solutions is Cuemath. These solutions are prepared by IITians and certified math experts. Thus, they are reliable, precise and give the best techniques to solving any problem. They also include some tips to enable students to solve sums with speed and accuracy.

How Many Chapters are there in NCERT Solutions for Class 9 Maths?

There are 15 chapters in class 9 maths NCERT solutions. The problems covered by these are fantastic to improve a student’s understanding of different concepts. The NCERT solutions give an in-depth analysis of all exercise problems.

Do I Need to Practice all Questions Provided in NCERT Solutions Class 9 Maths?

All questions that are included in the CBSE home examinations are based on the NCERT class 9 maths. Thus, in order to get good marks, it is necessary to be well-versed with all the questions covered in class 9 maths NCERT solutions that can only be achieved through regular practice and due diligence.

Are NCERT Solutions for Class 9 Maths Sufficient for CBSE Exams?

The NCERT solutions for class 9 maths are sufficient for all CBSE exams. As the school teachers set the paper they include questions from the NCERT textbook. The language or values given in the problem may differ however, the approach to solving it is more or less the same. As long as a student has a robust understanding of all chapters, he can successfully clear the examination.

What are the Important Topics Covered in NCERT Solutions for Class 9 Maths?

All the topics such as construction, circles , surface area , volume , statistics, etc. that are covered in the NCERT solutions for class 9 maths are required for class 10th. Thus, skipping a topic is not advisable. In addition to this, all topics within the scope of mathematics are interlinked making it necessary to give equal attention without leaving out anything.

What are the Important Formulas in NCERT Class 9 Maths Solutions?

The questions in NCERT solutions class 9 maths are mostly based on the application of theorems and axioms to prove a certain point. Thus, as there are a fewer number of formulas it is not only easy but necessary to memorize them all.

What are the Benefits of Class 9 Maths NCERT Solutions for CBSE Students?

The class 9 maths NCERT solutions help students to finish their syllabus on time giving them enough room for revision. They also provide a quick overview of all the problems that students can use as a reference while skimming through the chapter.

Why Should I Practice NCERT Solutions for Class 9 Maths Regularly?

The practice of NCERT solutions for class 9 maths will help a student achieve the goal of perfection. It helps students get comfortable with the covered concepts. Thus, during an examination students can keep their cool and breeze through the paper without getting flustered.

How is Class 9 Maths NCERT Solutions Promoting Problem Solving in Students?

NCERT solutions for class 9 maths start by explaining the questions and then breaking the problem down to elucidate it in a better way. It teaches students to think of the why and how behind a sum. These solutions encourage students to use a similar approach enabling them to harness their problem-solving skills and computational mindset.

NCERT Solutions for Class 9 Maths Free PDF Download

Ncert solutions for class 9 maths.

NCERT solutions for class 9 Maths is available to download for free from the links below. NCERT solutions are really helpful when it comes to a complicated subject like Mathematics. NCERT solutions for class 9 Maths will help you to understand and solve complex problems easily. It is time-saving and best study materials to follow for all the boards and especially CBSE boards.

NCERT solutions also help in cracking many competitive entrance exams like JEE Main, JEE Advanced, NEET, etc.

Class 9 Maths NCERT Solutions are available chapterwise on the app Toppr. Toppr app provides you a lot of free study materials, 1000+ hours of video lectures, mock tests, live doubt solving and more. You can signup or download Toppr app for Android or iOS .

Download NCERT solutions for all subjects of Class 9 here .

NCERT Solutions for Class 9 Maths Chapterwise

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 – Area 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

Class 9 Maths NCERT Solutions Chapterwise

Ncert solutions for class 9 maths chapter 1 number systems.

Rational numbers, Irrational numbers, Irrational numbers between two number are the topics covered under this chapter. We have solved more than 20 problems in this chapter. Download NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials

In this chapter, you will learn more about polynomials, degree of polynomials, and theorem related to it. We have solved more than 70 problems in this chapter. Download NCERT Solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

In this chapter, we have covered Distance formula, section formula, and more about the area of triangles and quadrilaterals. Download NCERT solutions for this chapter here .

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

We covered Linear equations in one variable in the previous Class, now it is time to solve two variables in equations. We have solved more than 30 problems in this chapter. Download NCERT Solutions for this chapter here .

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

Euclid’s postulates, Axioms, Conjectures are the topics covered under this chapter. Download NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles

In this chapter, you will learn about Geometry, Lines, and different types of angles. Geometry is one of the most important parts of Mathematics and NCERT solutions will help you understand it easily. Download NCERT Solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 7 Triangles

In this chapter, you will learn about the topics like properties of triangles, Pythagoras theorem, Basic proportionality theorem and more. This is one of the important chapters in CBSE Class 9 Maths. We have solved more than 50 solutions for this chapter. Download CBSE NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals

In this chapter, you will learn about Quadrilaterals and its properties and some theorems related to the quadrilateral. We have solved more than 50 solutions for this chapter. Download CBSE NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 9 Area of Parallelograms and Triangles

In this chapter, we will learn about calculating the area of triangles and parallelograms. Download NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 10 Circles

In this chapter, you will learn about the Arc of circle, tangents, cyclic quadrilateral and more. Download NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 11 Constructions

In this chapter, you will learn about the constructions of triangles, segments, tangent to a circle and more. Download NCERT solutions for this chapter here .

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

Heron’s formula will help in measuring the surface area of Triangles. We have solved more than 20 problems in this chapter. Download NCERT Solutions for this chapter here .

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

In this chapter, you will learn about the surface area and volumes of different shapes like Cuboid, cubes, cylinder, etc. This chapter will help you to understand how to measure the dimensions of different shapes. Download CBSE NCERT solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

Graphs, Charts, Frequency Distribution, Mean-Median-Mode are the topics covered under this chapter. This chapter will also help you in understand some of the business mathematics concepts. Download NCERT Solutions for this chapter here .

NCERT Solutions for Class 9 Maths Chapter 15 Probability

Probability is a complicated concept and also one of the most important. Probability is a topic which will also help you in solving real-life problems, business mathematics, and also important for many competitive entrance exams. Download NCERT Solutions for this chapter here .

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Solved Questions For You:

Question 1. State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

(i) True every natural is a whole number because natural number start from     1  and whole number start from  0 , so every natural number is a whole number.

Question 2. Write three numbers whose decimal expansions are non-terminating non-recurring.

Answer:  All irrational numbers have non-terminating and non-recurring decimal expression.

So, \(\sqrt{2}\), \(\sqrt{3}\), and \(\sqrt{5}\) will give such expressions.

Question 3.  Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Answer:  No,

for example \(\sqrt{4}\) = 2 is a rational number.

Question 4. Is zero a rational number? Can you write it in the form \(\frac{p}{q}\) ​ , where  p  and  q  are integers and  q \(\neq\)  = 0 ?

We know that a rational number is a number which can be written in the form of \(\frac{p}{q}\) , where  q  is not equal to zero. 

Thus, yes,  zero is a rational number, as it can be written in the form of \(\frac{p}{q}\) .

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NCERT Solutions for Class 9

• NCERT Solutions for Class 9 History Chapter 3 Free PDF Download
• NCERT Solutions for Class 9 History Chapter 6 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 15 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 7 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 14 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 12 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 1 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 9 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 4 Free PDF Download
• NCERT Solutions for Class 9 Maths Chapter 11 Free PDF Download

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NCERT Solutions for Class 9 Maths

Ncert solutions for class 9 maths – free pdf.

All the solutions of Ncert maths class 9 are available here for free download. Maths NCERT is usually prescribed to all CBSE schools, though even some state board schools also follow them. Ncert solution for class 9 maths is very important as it is the foundation on which mathematics of higher grades will be based on. Unlike class 8 maths, the syllabus of Maths in class 9th is very vast and may feel a bit difficult. The concepts which you will study in class 9th is also important because of another reason as it also compromises the basic concepts you need in order to crack any competitive exam. Whether it is an Olympiad, JEE, NEET, NDA, RBI or any other government exam, you require strong class 9 th maths base.

Mathongo provides free PDF download Ncert solutions of Class 9 Maths. We provide you the best solutions of NCERT Class 9 online. All the mathematics solutions have been made with the aid of the best teachers, academicians and subject experts. NCERT solutions are very beneficial for students as many times questions come directly from NCERT textbooks itself. Students who use Ncert solutions for class 9 maths pdf are more prepared as the answers given in these free pdfs are crisp and well structured. All the answers are based on the guidelines of CBSE curriculum which will help the students to score good marks.

NCERT Class 9 Maths Chapterwise Solutions

• Chapter 1 – Number Systems
• Chapter 2 – Polynomials
• Chapter 3 – Coordinate Geometry
• Chapter 4 – Linear Equations in Two Variables
• Chapter 5 – Introduction to Euclids 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

Why Go for Mathongo’s NCERT Maths Solutions for Class 9

Mathongo provides NCERT class 9 maths solution at free of cost online and it’s easily accessible in the form of PDF. Each PDF constitutes of the chapter in which exercise-wise solutions are given. It is very easy for the students to locate any answer from the exercise. All the solutions are made with the help of the best teachers and academicians. The solutions are plain easy and can be understood by anyone. The approaches and the methods used to solve the questions are also given in step by step method so that students score well in the paper. For additional conceptual clarity, diagrams and formulas are also used.

Mathongo has provided the best solutions for class 9 maths Ncert textbooks. Students can refer to these solutions which will help them in solving the previous year question papers. These NCERT maths class 9solution will help the students to study more effectively and also present the answers in the most effective way to get the highest scores.

The back-end exercise questions given in NCERT books are very important for the class 9 finals. These exercises often test the conceptual clarity and the subject knowledge of the student. NCERT Solutions will help you to understand these concepts better. On the other hand, the students who have a problem in solving maths and require assistance and guidance can also refer to class 9 Ncert Maths Solutions to clarify the concepts of the complex question. Maths is all about practice. The more you practice, the better you will be. Ncert maths class 9 pdf download can help students to solve all their problems and also save their time as everything is in one place, one click away.

How to score 90℅ or above in class 9 maths?

Getting above 90% score is not difficult. Believe me. You just need to do these steps.

Step 1: Focus in Class

Step 2: Study what concept was taught in that day itself.

Step 3: Practice the questions of NCERT. Don’t leave any.

Step 4: Study from another reference book like RD Sharma for more conceptual clarity and further practice.

What are the best books for class 9 maths?

NCERT Maths is more than enough for all the concepts. But if you wish to score high marks and have a strong foundation, it is advisable to refer books like RD Sharma or RS Aggarwal.

How to improve maths in class 9?

In order to improve maths, you can do nothing apart from practice. Solve previous year question papers. Give mock tests. Analyze your mistakes and try to correct them by understanding why were you going wrong in the first place. Solve a variety of questions. Refer to different books, if necessary.

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Class 9 Maths Notes, Solved Exercises Solutions, MCQ’s

These maths class 9 notes contain theory of each and every chapter, solutions to every exercise and review exercises which are great for reviewing giant exercises. It is a complete package of solutions to problems of your really tough book. You have these advantages of browsing notes from our website. Good quality notes, whole course notes at one place, fast loading website, friendly interface.

Math is an important part of our studies. Whatever field you like to go in, the mathematics is not going to leave you alone. So, start working on your mathematics skills. As an example, you will be saved from the fear and anxiety of doing math. Therefore, we provide maths class 9 notes. Some students enjoy doing math and others just feel it as a burden on them. The reason for becoming math a burden is that those students really don’t practice math. Conversely, It’s all about remembering formulas and applying them to different kind of problems in different ways. So, don’t be afraid and practice the math problems. And, lets take a look at maths class 9 notes.

Most of the time, after doing a mathematics problem we feel that maybe we have done it a wrong way. If we are not sure about the correctness of our solution than we don’t feel satisfied. Satisfaction becomes the most important thing after doing a lot of hard work. If you are not satisfied then you will be not sure and this creates the disappointment and that leads to hate to math. So, don’t hate math because we are going to provide you with some great solutions for your whole mathematics book (Maths class 9 notes).

We love to help you in your studies. We uploaded these notes because we feel happy when you download these notes from our website. Because, we believe in if you do good for someone, Allah rewards you. May Allah bless you with endless happiness.

This Post Has 157 Comments

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Assalamualaikum sweet brothers and sisters do not worry these are downloadable. When you opens an excercise, you can see a square on right side. Click on this square. The file will be changed in downloadable form. You can easily download it.

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please share the book of all subjects in pdf form bcz of the online classes…….. but great notes .. thank you

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thank you sir ! for helping us out in our studies but it would be so kind if you also upload some PRACTISE QUESTIONS and MCQs according to Federal board examination point of view. So we can prepare for the exam with a little idea about which kind of questions will be there. again thank you 🙂

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Math ki book me chapter 2 chapter 1 ha or 16 chapters han …or questions b chnge ham mene check kia ha sb .. I’m confused 😕

Your Syllabus is different.

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Mughe ch 4 ki ex 4.4 chaiya likin ch 4 khol hi nahi raha sirf ch 1 khol raha hai likin mughe ch 4 chahiya

https://www.freeilm.com/class-9-maths-notes-exercise-4-4-solutions/

how about try this

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Please understand me How to download note into my phone

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Isn’t working any options in this website fix this problem

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Plz add definition

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Sir Now in 9th and 10th class A new sallybus is added on ” Al-Quran ” So I request you for the Schemes and Textbook of the New book. Thanks for the Notes

Bhai wo ch 6 ex 6.1 Q3 part 3 last se galat hai us mein -4 nahi 4 common Ana hai or 2x ki power main 2 nahi 4 hai plz check

I’m really really thankful for the person who uploaded these notes . I’m studying from a good academy but still I always use these notes whenever I feel difficulty in solving any of maths problem . These notes have all the questions correctly and step by step solved so as a person who really Hates maths I just want to say that these notes helped me a lot through out my ninth class .thank you so much.

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AOA Sir! There is small mistake which is not a big mistake but i want to tell you that in Maths exercise 4.4 Q no1 part vi in second step the sign of conjugate is multiply please correct it to plus sign.Btw your app super hilarious fantastic. May god bless you trillions joys.

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This website is fantastic ❤️It’s so helpful…. But I request to the author to check the Question # 4..Part(ii) of Review Exercise 4…there is a mistake …

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Aoa there is a mistake in Qno 6 you write 289=64+BC but in next step you write 284=64+BC please correct it for no confusion in 2nd step it was 289 not 284

5.4 maths last question q=2 correct

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Algebra Questions with Answers for Grade 9

Grade 9 ratio algebra questions with answers are presented. Questions on solving linear and quadratic equations, simplifying expressions including expressions with fractions, finding slopes of lines are included. Solutions and detailed explanations are also included.

• - 6x + 5 + 12x -6
• 2(x - 9) + 6(-x + 2) + 4x
• 3x 2 + 12 + 9x - 20 + 6x 2 - x
• (x + 2)(x + 4) + (x + 5)(-x - 1)
• 1.2(x - 9) - 2.3(x + 4)
• (x 2 y)(xy 2 )
• (-x 2 y 2 )(xy 2 )
• (a b 2 )(a 3 b) / (a 2 b 3 )
• (21 x 5 ) / (3 x 4 )
• (6 x 4 )(4 y 2 ) / [ (3 x 2 )(16 y) ]
• (4x - 12) / 4
• (-5x - 10) / (x + 2)
• (x 2 - 4x - 12) / (x 2 – 2x – 24)
• 6x - 8 = 4x + 4
• 4(x - 2) = 2(x + 3) + 7
• 0.1 x - 1.6 = 0.2 x + 2.3
• - x / 5 = 2
• (x - 4) / (- 6) = 3
• (-3x + 1) / (x - 2) = -3
• x / 5 + (x - 1) / 3 = 1/5
• 2 x 2 - 8 = 0
• 2x 2 + 5x - 7 = 0
• (x - 2)(x + 3) = 0
• (x + 7)(x - 1) = 9
• x(x - 6) = -9
• x 3 - 1728 = 0
• sqrt(x) = -1
• sqrt(x) = 5
• sqrt(x/100) = 4
• sqrt(200/x) = 2
• a 2 + b 2 , for a = 2 and b = 2
• |2a - 3b| , for a = -3 and b = 5
• 3a 3 - 4b 4 , for a = -1 and b = -2
• x + 3 < 0
• x + 1 > -x + 5
• 2(x - 2) < -(x + 7)
• For what value of the constant k does the quadratic equation x 2 +2x = - 2k have two distinct real solutions?
• For what value of the constant b does the linear equation 2x + by = 2 have a slope equal to 2?
• What is the y intercept of the line -4x + 6y = -12 ?
• What is the x intercept of the line -3x + y = 3 ?
• What is point of intersection of the lines x - y = 3 and -5x - 2y = -22 ?
• For what value of the constant k does the line -4x + ky = 2 pass through the point (2,-3) ?
• What is the slope of the line with equation y - 4 = 10 ?
• What is the slope of the line with equation 2x = -8 ?
• Find the x and y intercepts of the line with equation x = - 3 ?
• Find the x and y intercepts of the line with equation 3y - 6 = 3 ?
• What is the slope of a line parallel to the x axis?
• What is the slope of a line perpendicular to the x axis?

Answers to the Above Questions

• 9x 2 + 8 x - 8
• (x + 2)/(x + 4)
• no solution
• solution set {-2,2}
• no real solutions
• solution set {1,-7/2}
• solution set {2,-3}
• solution set {2,-8}
• solution set {3}
• no solutions
• The slope is undefined
• x - intercept: (-3,0) , no y - intercept.
• no x - intercept , y - intercept: (0 , 3)
• The slope is undefined.

More References and Links

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• Important Questions for CBSE Class 9 Maths (2024-25)

CBSE Class 9 Maths Chapter wise Important Questions - Free PDF Download

Students studying in 9th standard need quality preparation for their upcoming examinations. Mathematics is such a subject that needs practice from the very beginning. Mostly, students are terrified of this particular subject and have no clear concept of mathematical chapters. Ultimately they end up scoring poor marks which drops their aggregate during finals. Students can follow Important Questions for Class 9 Maths by Vedantu to improve their mathematical knowledge and also to get good marks in exams. The PDF provided here highlights the Important Questions of Class 9 Maths . The downloadable PDF is designed according to the CBSE syllabus of 9th grade . It will help students to improve their mathematical skills and helps them to move a step forward to understand the subject. By practising Class 9 Maths Important Questions , students will build their confidence and clear their exams with flying colours.

You can also Download NCERT Solutions for Class 9 Maths to help you to revise the complete Syllabus and score more marks in your examinations. Vedantu provides students with a Free PDF download option for all the NCERT Solution of updated CBSE textbooks . Subjects like Science, Maths, Engish will become easy to study if you have access to NCERT Class 9 Science , Maths solutions, and solutions of other subjects that are available on Vedantu only.

Chapter wise Important Questions for CBSE Class 9 Maths

CBSE Class 9 Maths Chapter wise Important Questions (2024-25)

Importance of cbse class 9 maths book.

Books of CBSE board ensure that students don’t miss out on any topic and have complete coverage of the syllabus. The solutions provided in this book can be taken as a reference to understand how answers are written in an exam. These books contain formatted answers as suggested by CBSE board and allow students to study the answers and recreate it in the exam in similar language and get good marks.

CBSE Class 9 Maths Important Questions

If the students are looking for specific and detailed solutions of 9 th Class Maths Important Questions, then they are in the right place. Maths solutions include all the questions offered as per new revised syllabus of 9 th grade. The Chapters Of Class 9th Maths include-

Students can get different types of questions related to the chapters. As the chapters proceed, Important Questions For Class 9 Maths get tougher. Students can find questions from various chapters like-

Question from Linear Equations:

Q) The cost of a notebook is twice the cost of a pen. Illustrate linear equations in two variables to signify the statement. Consider two variables as “x” and “y”.

Question from Surface area and Volumes :

Q) If the base radius and height of a cone is 3.5cm and 12cm, then how much ice-cream can be put into the cone?

There are many more questions related to other vital chapters. From the above-mentioned questions, students can get a precise idea about Important Questions for Class 9 Maths .

Questions of Maths for Class 9 with Answers

As the above segment includes the detailed idea of probable Important Questions for Class 9 Maths chapter-wise, now students can follow Maths Questions for Class 9 With Answers .

Given Below is a Question and Solution from the Chapter of Statistics:

Q) The mean of 20 observations is 17. If observation 40 is changed to 12, what will be the value of the new mean?

Ans. Since 17 is the mean of 20 observations

        Sum of 20 observations= 17×20= 340

        New sum of 20 observations= 340-40+12

        New mean= 312/20= 15.6

Interested students can follow images related to important questions for class 9 maths with solutions:

Students can download the PDF, follow Vedantu’s official website or can download the app to get access to online classes arranged by expert subject teachers. To solve important questions of Maths Class 9 , students can go for RD Sharma and RS Agarwal or books from Arihant Publications referred by NCERT which are available on the app and the official website of Vedantu as well.

Class 9 Maths Study Materials

Other cbse class 9 important related links.

Important Questions for CBSE Class 9 Science

FAQs on Important Questions for CBSE Class 9 Maths (2024-25)

Q1. How Many Chapters are Covered in Class 9th Maths Important Questions?

Ans:  Overall, 15 chapters are covered in Important Questions for Class 9 Maths. They imply a thorough study of how the chapters agree with the overall subject matter as prescribed in the course.

Q2. Which is the Most Challenging Chapter in Class 9 Maths?

Ans:  The difficulty of a chapter varies from student to student and their overall understanding of a chapter. Some students find Geometry difficult, whereas some find Surface Area and Volume, Constructions and Statistics difficult. Generally, students find Geometry as the most difficult topic. Also, under the Geometry section, students consider Triangles as the most difficult part of 9 th grade Maths.

Q3. How Do Students Need to Practise Maths in Class 9?

Ans:  If the subject is Maths, then practice is the key for scoring superb marks in the exam. If students practice different types of mathematical problems, solve CBSE sample papers in one sitting within a set time limit, then it would be highly useful for the students to get through different competitive exams. Students must also give importance to high weightage chapters.

Q4. Which chapter is the most difficult for students in Class 9 Maths?

Ans: Class 9 Maths includes 11 chapters. Students find Geometry as a difficult chapter in Class 9 Maths. Students have to practice important questions and NCERT questions for all chapters to score high marks in Class 9 Maths. As one proceeds to different chapters, one will start getting difficult questions. Students can refer to the NCERT solutions for Class 9 Maths on Vedantu for free that can help students to understand all concepts easily. These solutions are available at free of cost on Vedantu(vedantu.com) and mobile app.

Q5. Is Class 9 Maths tough?

Ans: Class 9 Maths is not difficult if students practise it regularly. Students should understand the basic concepts given in so that they can also understand the concepts of Class 10 maths later. Students need to work hard to get good marks in Class 9 maths. They can also download the NCERT Solutions for all chapters to understand the basic concepts of math and for scoring full marks.

Q6. Which is the most important chapter in Maths Class 9 NCERT?

Ans: All chapters of Class 9 Maths NCERT are important because students of Class 9 will get similar chapters in Class 10th. They have to also understand all concepts of Class 9 maths for higher classes such as 11th and 12th. Important questions for Class 9 Maths are available online on Vedantu that can help students to understand all concepts and practise questions based on all chapters easily and quickly.

Q7. How can I practise Math in Class 9?

Ans: Students of Class 9 can practise maths from the NCERT Solutions and important questions available on Vedantu. Students should practise all questions given at the back of each exercise in the NCERT book. Students can also practise extra questions given on Vedantu that can help students to understand the concepts and score high marks in Class 9 Maths. All questions are solved and concepts are explained properly by expert Maths teachers.

Q8. How could I learn Class 9 Maths in an efficient and fast way?

Ans: Students can learn Class 9 Maths by practising all questions given in the NCERT book of class 9. They should revise and practice all questions regularly to understand the concepts. Students can also learn class 9 maths by doing extra and important questions available online. Students can download important questions for Class 9 Maths from Vedantu. They can solve important questions to practise Class 9 Maths and get high marks in exams.

Important Questions for CBSE Class 9

Cbse class 9 study materials, home tuitions in india.

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• NCERT Exemplar
• Maths Exemplar Class 9

NCERT Exemplar Class 9 Maths

Ncert exemplar solutions for class 9 maths – free pdf download (updated for 2023-24).

NCERT Exemplar Class 9 Maths problems and solutions are focused on developing an understanding of basic concepts of Mathematics in students. Students are advised to practise NCERT Class 9 Maths Exemplar Solutions regularly to absorb conceptual knowledge effectively. These exemplar solutions are prepared by our subject experts for Class 9 students. These solutions introduce a few guidelines with several helpful tips and tricks to answer problems accurately.

BYJU’S brings you Class 9 Maths NCERT Exemplar Solutions, where students can easily prepare all the concepts included in the CBSE Syllabus in a much better and more effective way. Revision notes are also provided to help students grasp all the topics, along with a detailed summary, important formulas and shortcut tips. Students can enhance their exam preparations by practising NCERT Maths Exemplar for Class 9 Solutions from the links mentioned below.

You can also access and download NCERT Class 9 Books here.

Check the chapters covered here for the Class 9 Maths exemplar, along with the topics included in each chapter.

NCERT Exemplar Class 9 for Maths Chapter 1 – Number Systems

In this chapter, students will be introduced to solving exemplar problems based on irrational numbers, real numbers and their decimal expansion, representation of real numbers on the number line, exponents laws for real numbers, etc.

NCERT Exemplar Class 9 for Maths Chapter 2 – Polynomials

This chapter consists of problems based on polynomials in one variable, zeroes of a polynomial, remainder theorem, factorisation of polynomials and algebraic identities.

NCERT Exemplar Class 9 for Maths Chapter 3 – Coordinate Geometry

In this chapter, students will learn to solve problems based on the Cartesian system and plotting a point in the plane if its coordinates are given and on the related topics.

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

Here, students will learn to find the solution for linear equations, to represent the linear equation in two variables graphically, solving equations of lines parallel to the x-axis and the y-axis.

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

This chapter introduces students to Euclid’s definitions, axioms and postulates, along with problems based on equivalent versions of Euclid’s fifth postulate.

NCERT Exemplar Class 9 for Maths Chapter 6 – Lines and Angles

Chapter 6 has problems based on lines (intersecting and non-intersecting), pairs of angles, parallel lines , transversals, two lines parallel to the same line and also questions based on the angle sum property of a triangle.

NCERT Exemplar Class 9 for Maths Chapter 7 – Triangles

The chapter Triangles is one of the important chapters which consists of topics like the congruency of triangles and their conditions. Students will also learn some of the basic properties of triangles and inequalities in triangles, etc.

NCERT Exemplar Class 9 for Maths Chapter 8 – Quadrilaterals

In this chapter, students get to solve exemplar problems based on the angle sum property of a quadrilateral. Also, they learn different types of quadrilaterals here. They also learn the properties of a parallelogram and conditions for a quadrilateral to be a parallelogram, along with the mid-point theorem.

NCERT Exemplar Class 9 for Maths Chapter 9 – Area of Parallelogram and Triangle

From the chapter name, it is clear that we are going to solve exemplar problems to find the areas of parallelograms and triangles where the parallelograms and triangles are on the same base and between the same parallels.

NCERT Exemplar Class 9 for Maths Chapter 10 – Circles

Here, students will learn about circles and their related terms, theorems and their proof based on angle subtended by a chord at a point, theorems based on perpendicular from the centre to a chord, to draw a circle with the help of three points, chords of the circle and their distances from the centre, the angle formed by the arc of a circle, quadrilateral formed inside a circle.

NCERT Exemplar Class 9 for Maths Chapter 11 – Constructions

Constructions is a chapter introduced in Class 9 to constructing different types of figures using geometry box instruments such as a compass, scale, divider, etc. Here, students will learn to construct the bisector of a given angle, the perpendicular bisector of a given line segment, a triangle, given its base, a base angle and the sum of the other two sides, etc.

NCERT Exemplar Class 9 for Maths Chapter 12 – Heron’s Formula

Students of Class 9 will learn to find the area of a triangle using Heron’s formula , along with the application of Heron’s formula in finding areas of quadrilaterals.

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

Learn to find the surface area of a cuboid, cube, right circular cylinder, right circular cone and sphere in this chapter. Also, learn how to find the volumes of a cuboid, cylinder, right circular cone and sphere with the help of standard formulas.

NCERT Exemplar Class 9 for Maths Chapter 14 – Statistics and Probability

Statistics is a chapter which has many real-life applications. In this chapter, students will learn about the collection and presentation of data along with their graphical representation and measures of central tendency. Students will also learn the basic approach to the probability of an event or the outcomes of an experiment. For further details, solve the NCERT Exemplar problems and understand the concepts in a better way.

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I want solutions of sample paper. this is my humble request from you to give me. Thanks, Regards, Yukti Sharma.

Dear Yukti, The CBSE Sample Papers with Solutions can be downloaded as well as viewed online at BYJU’S. Click here: “ CBSE Sample Papers “

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