NCERT Solutions for Class 9 Maths
Mathematics is an essential subject in the school curriculum that helps students develop analytical and problem-solving skills. NCERT Solutions for Class 9 Maths are essential for students to excel in their academics.
NCERT Solutions for Class 9 Maths provides step-by-step solutions to all the questions present in the NCERT textbook. These solutions are designed by subject matter experts and are in sync with the latest syllabus. They cover all the essential topics and help students build a strong foundation in maths.
These solutions provide a comprehensive understanding of the subject and help students prepare for class 9 and eventually for 10th boards.
On this page, you will read about NCERT Solutions for Class 9 Maths in detail, the different types of CBSE class 9 maths solutions, and 9th std maths solutions, the 9th maths guide, what are the chapters for NCERT Solutions for Class 9 Maths, CBSE Class 9 Maths chapter-wise marks weightage, some important benefits of studying with Class 9 Maths NCERT Solutions and major FAQs about FAQs on NCERT Solutions for Class 9 Maths.
NCERT Solutions for Class 9 Maths Chapters
The NCERT Solutions for class 9 Maths is available on CBSE’s main page. It is as per 2023-24’s updated syllabus.
The following is a list of chapters included in the NCERT Maths book class 9 solutions.
CBSE Class 9 Maths NCERT Solutions textbook covers all the chapters as approved by the board for the 2023-24 exam.
The CBSE Class 9 Maths NCERT Solutions subject covers the following chapters:
Unit | Chapter |
I | NUMBER SYSTEMS |
II | ALGEBRA |
III | COORDINATE GEOMETRY |
IV | GEOMETRY |
V | MENSURATION |
VI | STATISTICS & PROBABILITY |
NCERT Solutions of Class 9 Maths Chapter Brief
The 2023-24 class 9 Maths syllabus has been designed around 6 broad themes viz:
NCERT Solutions for Class 9 Maths cover the following chapters:
Unit I: Number Systems
This chapter covers the concepts of irrational numbers, real numbers, and their representation on a number line.
It consists of real, natural, integers, and rational numbers on the number line.
Proper understanding and a good grasp of these chapters will make it easier to score higher in class 9 annual exam in 2024.
NCERT Solution of class 9 Maths chapter 1 has been created keeping in mind the primary goal of helping with the academic requirements.
Some key topics from the unit: Non-recurring/non-terminating decimals, the existence of non-rational numbers (irrational numbers), rationalization, and recall of laws of exponents with integral powers.
UNIT II: ALGEBRA: Polynomials & Linear equations in two variables
This chapter covers the concepts of polynomials and their algebraic properties.
The topics in unit 2 related to all the foundational concepts in detail for students to understand better. Maths may be a challenging subject so make sure to clear your foundations properly.
The topics in chapter 1 related to matter explain all the foundational concepts in detail for students to understand better. The chapter also covers topics like the zeros of a polynomial, the relationship between the zeroes and the coefficients of a polynomial, and the division algorithm for polynomials.
Some key topics from the unit: Definition of a polynomial in one variable, with examples and counter-examples, coefficients of a polynomial, terms of a polynomial, and zero polynomial. Degree, constant, linear, quadratic, and cubic polynomials, monomials, binomials, trinomials, factors and multiples, and theorems.
In linear equations in two variables: Recall linear equations in one variable, focus on linear equations, 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.
UNIT III: COORDINATE GEOMETRY
This chapter covers the concepts of coordinate geometry and the properties of lines and angles.
The NCERT Solutions for Class 9 Maths unit 3 Coordinate Geometry are useful for students as they help them to score well in the board exams. The reason why strengthening the foundation of this chapter is important is that coordinate geometry is an interesting topic where students learn about the position of an object in a plane and learn about the coordinates or concepts of the cartesian plane.
Some key topics from this unit of NCERT Solutions Class 9 Maths: The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, and notations.
UNIT IV: GEOMETRY: INTRODUCTION TO EUCLID'S GEOMETRY, LINES AND ANGLES, TRIANGLES, QUADRILATERALS & CIRCLES
Mathematics can sometimes be a challenging subject for students, but it's important to remember that with the right approach and resources, anyone can master it. When it comes to NCERT Solutions of Class 9 Maths’ unit 4 chapters, the difficulty level can vary from topic to topic. Some concepts may come naturally to some students while others may require a bit more effort to understand.
However, it's worth noting that the NCERT Solutions of Class 9 Maths chapter is designed to be accessible and understandable for students of all levels. This unit is divided into 4 chapters:
Some key topics from the unit: The introduction to Euclid's Geometry chapter covers the basic concepts of Euclid's geometry, such as axioms, postulates, and theorems.
The lines and angles chapter covers the concepts of lines and angles, including parallel lines and transversals.
Triangles’ chapter covers the properties of triangles, including congruence and similarity.
The Quadrilaterals’ chapter covers the properties of quadrilaterals, including parallelograms, rectangles, and squares.
The Areas of Parallelograms and Triangles chapter covers the concepts of the area and perimeter of parallelograms and triangles.
Circles’ chapter covers the properties of circles, including tangents, chords, and arcs.
UNIT V: MENSURATION: AREAS & VOLUMES
NCERT Solutions of Class 9 Maths Chapters are designed to be accessible and understandable for students of all levels. The solutions provided are easy to follow, allowing students to build their understanding and confidence as they revise through each topic.
Some key topics from the unit: Area of a triangle using Heron's formula (without proof), applications of heron's formula, and approximate value of irrational numbers.
The Surface Areas and Volumes chapter covers topics like the surface area and volume of a cube, cuboid, cylinder, cone, and sphere.
UNIT VI: STATISTICS & PROBABILITY
Some key topics from the unit: Statistics chapter covers topics like introduction to the topic, data collection, and measures of central tendency.
Probability’s chapter covers topics like introduction to probability, theoretical probability, experimental probability, and probability distribution.
CBSE Class 9 Maths Chapter-wise Marks Weightage
Mathematics can be a difficult subject to grasp at times, but with the help of the NCERT solutions for the class 9 maths chapter brief, you can easily improve your understanding of the concepts and excel in your exams.
The CBSE Class 9 Maths NCERT Solutions chapter-wise marks weightage are:
Unit | Chapter | Marks |
I | NUMBER SYSTEMS | 10 |
II | ALGEBRA | 20 |
III | COORDINATE GEOMETRY | 04 |
IV | GEOMETRY | 27 |
V | MENSURATION | 13 |
VI | STATISTICS & PROBABILITY | 06 |
Total | 80 | |
Internal assessment: 20 marks. |
Key Features of Class 9 Maths NCERT Solutions
NCERT Solutions for Class 9 Maths provide the following benefits to students:
- Helps in Understanding the Concepts
NCERT Solutions for Class 9 Maths provides a detailed explanation of all the concepts covered in the textbook. The solutions help students understand the concept in a better way and apply it to solve the problems. - Helps in Exam Preparation
NCERT Solutions for Class 9 Maths are essential for exam preparation. They cover all the essential topics and provide step-by-step solutions to all the questions present in the textbook. Students can practice these solutions to prepare for their exams. - Provides Clarity on Complex Topics
Mathematics is a subject that requires a clear understanding of the concepts. NCERT Solutions for Class 9 Maths provides clarity on complex topics and help students understand them better. - Helps in Self-Assessment
NCERT Solutions for Class 9 Maths provide students with the opportunity to assess their knowledge and understanding of the subject. They can solve the questions presented in the textbook and verify their answers with the solutions provided in the book.
FAQs on NCERT Solutions for Class 9 Maths
Ans: Absolutely! NCERT Solutions for Class 9 Maths are designed to help students build their understanding and skills in mathematics. The solutions provided in the textbook are clear and concise, making it easy for students to follow along and apply what they have learned.
Ans: Yes, definitely! NCERT Solutions for Class 9 Maths cover a range of topics and provide step-by-step solutions that are easy to understand. By working through these solutions and practicing the concepts, you can improve your understanding and confidence in mathematics, leading to better grades.
Ans: The level of difficulty of chapters in NCERT Maths Class 9 can vary for different students. Some may find algebraic expressions and identities or triangles to be challenging, while others may struggle with surface areas and volumes or probability. With proper guidance and practice, any chapter can be mastered, and it’s important to approach each topic with a positive attitude and a willingness to learn.
Ans: Yes, NCERT Solutions for Class 9 Maths are available online. Online resources from Oswal Publishers are especially helpful for students who want to practice more problems or who need additional support outside of the classroom.
Ans: Getting 100% in Class 9 Maths requires consistent effort, dedication, and practice. Start by thoroughly understanding the concepts taught in each chapter and practicing the problems provided in the textbook. Use NCERT Solutions for Class 9 Maths to help guide your understanding and check your solutions.