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NCERT Solutions for Class 9 Maths in Hindi and English Medium updated for 2024-25 session. We have carefully crafted these solutions to meet the needs of Class 9 students, ensuring they get the best guidance.
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
Tiwari Academy’s NCERT Solutions for Class 9 Maths are designed to enhance conceptual understanding and improve problem-solving skills, making them an invaluable resource for students.
NCERT Solutions of Class 9 Maths
The solutions and answers have been suitably modified and revised taking into account the guidelines of CBSE and State board 9th Maths curriculum 2024-25. Your valuable feedback and Review would help us to improve further our answers.
Class 9 Solution Apps Download
Class 9 Math solutions are available in multiple formats such as printed books, online resources and mobile apps. Platforms like Tiwari Academy take their social responsibility seriously by providing free access to NCERT solutions, ensuring that quality education is accessible to everyone. These free resources help students learn and succeed without financial barriers.
| Class: 9 | Mathematics |
| Number of Chapters: | 12 (Twelve) |
| Content: | NCERT Solutions and Extra Questions |
| Content Mode: | Text, PDF and Videos Format |
| Academic Session: | Year 2024-25 |
| Medium: | Hindi and English Medium |
CBSE Syllabus for Class 9 Maths Revised for 2024-25
Class 9 Maths Chapter wise Marking Scheme for 2024-25 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 |
NCERT solutions for Class 9 Mathematics are incredibly useful for students because they are created by subject experts based on the CBSE curriculum. If you’re searching for the revised Class 9 Maths UP Board NCERT Solutions for the 2024-25 exams, Tiwari Academy has you covered. They offer updated solutions for all chapters, making it easier for students to understand key concepts and score higher in exams. These solutions not only strengthen mathematical understanding but also help students 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.
| Class 9 All Subjects iOS App for iPad & iPhone |
Tiwari Academy’s Educational App offers notifications and reminders for important dates, exams and study schedules, helping students stay organised and focused. The app also allows students to track their scores, monitor exercise completion and identify areas for improvement, making it a valuable tool for staying on track with their studies.
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 the key. Start by thoroughly understanding the current syllabus and the fundamental concepts it covers.
Physical exercise, hobbies or short walks can refresh your mind and boost focus during study sessions. Maintaining a positive mindset and believing in your ability to learn will enhance your overall growth. Regular self-assessment through quizzes or timed practice in math helps identify weak areas and boosts confidence.
NCERT Solutions for Class 9 Maths All Chapters
These Chapter Wise NCERT Solutions for Class 9 Maths App is well designed so that class 9 students can easily understand each sum’s 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 ensure positive results. Chapters covered 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 introduces key topics like rational numbers and irrational numbers. You will learn how to represent integers, rational numbers and irrational numbers on a number line. This chapter provides a comprehensive understanding of the number line, helping students grasp these fundamental concepts effectively.
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. Chapter 3 introduces the concepts of the Cartesian plane, including coordinates of a point, terms, coordinate plane notations, x-axis, y-axis, x-coordinate, y-coordinate, quadrants, origin and more. It provides a thorough understanding of these fundamental terms, helping students navigate and plot points on the coordinate plane effectively.
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 about the coordinate plane and the mutually perpendicular lines, known as axes. They can download the NCERT Solutions for Class 9 Maths PDF to study offline anytime, making it convenient for learning on the go. 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 4 covers linear equations in one variable and introduces linear equations in two variables, like ax + by + c = 0. In this chapter, students will also learn how to plot the graph of a linear equation in two variables, gaining a solid understanding of these key concepts.
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
NCERT Solutions for Class 9 Maths Chapter 9, Linear Equations in Two Variables, includes just two exercises. Students can download the free NCERT Solutions for Class 9 Maths PDF to study anytime, anywhere. These solutions help students clear all concepts for each math problem. Download unlimited free solutions for Chapter 9 Linear Equations in Two Variables in both 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 covers Euclid’s approach to geometry, which forms the foundation of present-day geometry. In the NCERT exercises for Class 9 Maths, Introduction to Euclid’s Geometry, students will learn about defining common geometrical shapes and terms, providing a solid understanding of the basics of geometry.
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
This 9th Class Maths Book Solution includes only one exercise that provides a deeper understanding of the relationship between axioms, postulates, and theorems. Download Chapter Euclid’s Geometry Class 9 Maths Solutions in both Hindi Medium and English Medium for free to enhance your learning experience.
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
The 9th Maths Book Solutions provided here are carefully reviewed for accuracy. Get free NCERT Solutions for Class 9 Maths in PDF format for offline study. Practice these solutions thoroughly to score your best in the final exams. Download Chapter Lines and Angles Class 9 Maths Solutions in both Hindi 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, students will prove the properties of triangles learned in previous classes. While solving problems, they will apply various congruence rules. This chapter includes eight theorems, and there are three exercises covered in the NCERT Solutions for Class 9 Maths Chapter 7, Triangles. Download Chapter Triangles Class 9 Maths Solutions in both Hindi Medium and English Medium for a comprehensive understanding.
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 includes two exercises and focuses on proving one theorem. These solutions cover important concepts such as the angle sum property of a quadrilateral, properties of a parallelogram, and different types of quadrilaterals. Download Chapter Quadrilaterals Class 9 Maths Solutions in both Hindi Medium and English Medium for free.
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
Get well-explained NCERT Solutions for Class 9 Maths Chapter Circles for free, with no need to log in or register. Access solutions for all exercises at no cost, making learning easy and convenient. 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
Learn about circles, including Chord at a Point and Equal Chords, with twelve theorems in total. Download NCERT Solutions for Class 9 Maths for free, with no registration needed. Get Chapter 9 Circles Solutions in both Hindi and English Medium at no cost.
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 helps calculate the area of a triangle when the lengths of all three sides are given. With Heron’s Formula, you can find the area of a triangle without needing to calculate the heights or distances directly.
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
Heron’s Formula is used to find the areas of quadrilaterals, triangles, and other polygons. There is only one exercise in NCERT Solutions for Class 9 Maths Chapter 10, Heron’s Formula. You can download the NCERT Solutions for Class 9 Maths Chapter 12 PDF for free and study anytime, offline, on your desktop or mobile.
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 detail. In NCERT Solutions for Class 9 Maths Chapter 11, Surface Areas and Volumes, you will also explore the surface areas of 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
In this chapter, students will deepen their understanding of surface areas and volumes, building on concepts from earlier classes. Chapter 11 includes four exercises covering the surface areas and volumes of various solids such as cubes, cuboids, hemispheres, spheres, cylinders and cones. Download the NCERT Solutions for Class 9 Maths PDF for free without any login or registration required. 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 plays an important role in daily life, influencing various aspects like people’s lives and state functions. NCERT Solutions for Class 9 Maths Chapter 12, Statistics, teaches how to present data in different ways, including frequency distribution. You’ll also learn how to organize data in tabular and row form, group it in regular intervals and calculate the mean, mode and median. 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 offers NCERT solutions on Surface Areas and Volumes, based on the state board syllabus for the 2024-25 session, in both Hindi and English mediums. Master geometry with Tiwari Academy’s expert NCERT Solutions for Class 9 Maths Exercise 13.8, specifically designed for students of the 2024-2025 session, available in both languages.
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 both Hindi and English at Tiwari Academy. Perfect for CBSE students, our resources are comprehensive, user-friendly, and designed to help you excel in your studies.
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 both English and Hindi. Excel in CBSE exams using Tiwari Academy’s expert resources. Clear, concise and completely free — your key to understanding Probability concepts effectively.
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 the National Council of Educational Research and Training, established to provide standardised textbooks and promote research and training in India’s education system. NCERT Solutions for Class 9 Maths are incredibly helpful, offering a detailed and in-depth understanding of all the questions and concepts from NCERT textbooks. These solutions come with many other benefits that enhance learning and improve exam performance.
Explain Each And Every Concept in Detail
NCERT Solutions for Class 9 Maths explain every concept in detail using simple language, making it easier for students to understand. These solutions are essential for a better grasp of the subject and help in scoring good marks in Class 9 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 are available as downloadable PDFs for all chapters, allowing you to study offline. You can access these solutions anytime and anywhere, making learning more convenient and flexible.
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 solutions are provided by expert teachers and created by top-quality subject matter experts. These high-quality study materials are designed to help you score more marks. Each solution is crafted after extensive research on the subject, enabling you to solve a wide range of problems, regardless of 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.
NCERT Solutions for CBSE Class 9 Maths offer an effective and comprehensive way to help students understand the subject thoroughly, ensuring better performance in final exams. These solutions are designed to simplify complex mathematical concepts, making it easier for students to grasp each topic. By using NCERT solutions, students can enhance their problem-solving skills and gain the confidence needed to excel in their exams. These resources are a must-have for anyone aiming to score full marks in Class 9 Maths.
To maximise success in CBSE Class 9 Maths, it is essential to cover all exercises and thoroughly learn every theorem in the syllabus. Skipping any topic could impact your overall understanding and performance in exams. The NCERT solutions provide detailed explanations for each exercise, ensuring you master every concept. By staying consistent and covering all topics in CBSE 9th Maths syllabus, students can build a strong foundation and perform well in both school assessments and final exams.
Feedback & Suggestions
A panel of experts at Tiwari Academy recently conducted a two-day workshop to thoroughly review and enhance the content quality of their educational materials. During this workshop, they meticulously analysed both the English and Hindi versions of the content, providing valuable suggestions for improvements. Based on these expert recommendations, necessary amendments were made to ensure that the solutions meet high educational standards and offer clear, concise explanations for students.
Following these discussions, the final draft of the solutions was prepared, adhering to the new syllabus for 2024-25. The updated materials reflect a classical approach to constructions and geometrical chapters, ensuring students have access to reliable, well-structured content. These solutions are designed to help students grasp key mathematical concepts effectively, making learning easier and more efficient. Tiwari Academy continues to prioritise quality in their educational resources, providing students with top-notch guidance.
For students studying under the UP Board Secondary Education (High School), Tiwari Academy offers comprehensive solutions, sample papers, notes and other essential study materials. These resources, tailored to the 2024-25 syllabus, are available for both Hindi and English mediums, ensuring students have everything they need to excel in their exams. Whether it’s preparing for board exams or mastering key concepts, these materials provide valuable support for students at every step.
How to practice Class 9 Maths using NCERT Solutions?
For the academic session 2024-25, NCERT has significantly reduced the syllabus for Class 9 Maths in the latest textbooks. As a result, the NCERT Solutions for Class 9 Maths have also been updated and revised accordingly. These solutions are essential for students aiming to excel in their CBSE Class 9 Mathematics exams. Follow the steps below to learn how you can effectively use the updated Class 9 Maths solutions to improve your exam performance.
- 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.
What are the most important chapters in Class 9 Maths for the final exams?
The most important chapters in Class 9 Maths for final exams are Number Systems, Polynomials and Quadrilaterals. These topics often form the foundation for higher-level concepts in future classes. Additionally, Coordinate Geometry and Statistics are essential as they introduce key skills like plotting points and data analysis. Students should also focus on Triangles and Circles, as these chapters carry significant weight in exams.
Understanding these chapters thoroughly helps in scoring well since they cover a wide range of problems. Concepts from these chapters often appear in both objective and subjective formats in exams. Hence, mastering them ensures not only full marks in specific questions but also a strong grasp of Maths fundamentals that will be useful in higher classes.
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 score full marks in Class 9 Maths?
To score full marks in Class 9 Maths, regular practice and a clear understanding of concepts are crucial. Begin by solving all NCERT textbook questions as they are designed to cover the entire syllabus comprehensively. Also, make sure to understand and practice each theorem, as many problems are based on applying these mathematical principles.
In addition, revising formulas regularly, solving sample papers and taking mock tests can help boost your confidence and time management skills during the exam. It’s important to identify weak areas and work on them through additional exercises or reference materials. With consistent effort and the right strategy, scoring full marks is achievable.
Where can I find free NCERT Solutions for Class 9 Maths?
Free NCERT Solutions for Class 9 Maths are widely available on various educational websites like Tiwari Academy, etc. These platforms provide chapter-wise solutions in a clear, step-by-step format. Additionally, you can download the official Tiwari Academy app, which offers solutions and textbooks for free.
These resources not only help in solving textbook problems but also provide practice questions and mock tests. For students looking to excel in their exams, having access to these solutions ensures a thorough understanding of each topic and helps in revising important questions quickly.
How many exercises are there in the NCERT Class 9 Maths book?
The NCERT Class 9 Maths book contains a total of 15 chapters, each consisting of multiple exercises. The number of exercises varies across chapters, but on average, each chapter has around 3-4 exercises, amounting to over 80 exercises in the entire book. Some chapters like Triangles and Quadrilaterals have more exercises due to the complexity of the topics.
These exercises cover various types of questions, from easy to difficult, ensuring students develop a comprehensive understanding of each topic. By solving all these exercises, students can build a strong foundation and effectively prepare for their exams.
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.
What is the importance of the theorems in Class 9 Maths?
Theorems in Class 9 Maths play a crucial role as they lay the foundation for understanding geometry and problem-solving techniques. Important theorems like Pythagoras’ theorem, properties of triangles and circles not only appear in exams but also form the base for higher-level Maths. Understanding the proof of these theorems helps students apply them effectively to solve complex questions.
Learning these theorems thoroughly enhances logical thinking and analytical skills, which are essential not only for Maths but also for subjects like Physics. These theorems appear frequently in exams, so knowing them well can contribute to scoring full marks in related questions.
Is class 9 maths difficult?
In real Maths of class, 9th and 10th are both very easy. But practically you can say class 9th mathematics 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 math 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.
What is the best way to practice Class 9 Maths?
The best way to practice Class 9 Maths is through consistent problem-solving from the NCERT textbook and additional reference materials. Start by solving all the textbook exercises and then move on to sample papers and previous years’ question papers. This helps in familiarising yourself with the exam pattern and types of questions that are commonly asked.
Regular revision of key concepts and formulas ensures that you retain important information. Online platforms offering practice tests can also be beneficial for testing your speed and accuracy. Time management and regular revision are key to mastering the subject.
Is Class 9 Maths easy?
Class 9 Maths can feel challenging for some students due to the introduction of more complex concepts like algebraic expressions, geometry and coordinate geometry. However, with consistent practice and a clear understanding of concepts, it becomes easy. The difficulty level depends largely on how well students grasp the foundational topics and apply them to solve problems.
Students who regularly practice the NCERT exercises and seek help for difficult areas often find that the subject becomes easier over time. Proper guidance and use of supplementary resources like NCERT Solutions can make the subject less daunting.
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.
Are the NCERT solutions enough for scoring well in Class 9 Maths?
NCERT Solutions are a great resource and can be sufficient for scoring well in Class 9 Maths if studied thoroughly. The solutions cover all the essential concepts and types of questions that could appear in the exam. They are structured in a step-by-step manner to help students grasp the logic behind each problem.
However, for students aiming for perfection, practicing additional questions from reference books or mock tests might provide the extra edge. Solving a variety of problems ensures familiarity with different question formats, boosting overall performance in exams.
How can I improve my problem-solving skills in Class 9 Maths?
Improving problem-solving skills in Class 9 Maths requires regular practice and a strategic approach to tackling different types of questions. Start by understanding the concepts behind each topic and then apply them to solve NCERT textbook problems. After mastering the basics, move on to solving sample papers and taking timed mock tests to improve speed and accuracy.
Analysing mistakes and reviewing difficult problems is equally important for improvement. Revising key formulas and practicing mental Maths can also enhance problem-solving efficiency. Engaging in group discussions and seeking help from teachers or peers can further improve understanding and performance.
Can I download Class 9 Maths solutions for offline study?
Yes, you can easily download Class 9 Maths solutions for offline study from various websites like Tiwari Academy and other similar websites or the official NCERT website. These platforms offer downloadable PDFs of chapter-wise solutions, which can be saved for offline access. Tiwari Academy Offline mobile apps also provide NCERT solutions, allowing you to study without the need for an internet connection.
Offline access to solutions is helpful for revising anytime and anywhere, making it convenient for students who may not always have internet access. Having these solutions on hand ensures you can practice regularly and clarify doubts as they arise.
