NCERT Solutions for Class 9 Maths
Math is considered one of the most important subjects which need you to have a clear understanding of basic concepts and fundamentals. NCERT Maths Solutions for Class 9 is an excellent way for you to build a strong fundamental foundation for further studies in higher grades.
Download FREE PDF of Class 9 Maths 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
Class 9 Mathematics Chapters 1 to 15:
Cuemath provides the most accurate and reliable chapter-wise NCERT Solutions to the various math problems covered in the Class 9 NCERT textbooks. Here is a brief context of the chapter-wise solutions for Class 9 Maths:
Chapter-1 Number Systems:
Chapter 1 of NCERT Maths textbook for Class 9 is Number Systems which has a total of 6 exercises. This chapter will introduce the concepts of rational numbers, irrational numbers, laws of exponents, real numbers and representation of numbers on a number line. Download Number Systems PDF.
Class 9 Maths Chapter 2 has 2 exercises. The solutions for Polynomials take you through the different types of polynomials like trinomials, monomials, linear polynomials, constant polynomials and more. In the CBSE Class 9 Chapter 2 on polynomials, discover concepts such as factor theorem, algebraic identities of quadratic polynomials, split the middle theorem, algebraic identities for cubic polynomials, etc. Download Polynomials PDF.
Chapter-3 Coordinate Geometry:
Chapter 3 carries 3 exercises. The Maths solutions of Class 9 for this chapter will help you understand how to work with an XY plane and to plot points correctly on a graph paper with accurate names and notations. Download Coordinate Geometry PDF.
Chapter-4 Linear Equations in Two Variables:
There are 4 exercises in Chapter 4 of the Class 9 Math textbook. The solutions for Class 9 Maths Chapter 4 will help you to understand linear equations and revise the solutions for the exercise questions with ease. Download Linear Equations in Two Variables PDF.
Chapter-5 Introduction to Euclid's Geometry:
With our solutions for Class 9 Maths, you can learn and find solutions to questions based on Euclid’s Geometry. Chapter 5 starts with an introduction to the history and origin of the word geometry followed by Euclid's definitions, axioms, and various postulates. Download Introduction to Euclid's Geometry PDF.
Chapter-6 Lines and Angles:
There are 2 exercises in NCERT Math Chapter 6 of Class 9. It will help you to confidently answer the questions based on topics like parallel lines, co-interior angles, transversals, angle sum property of a triangle, etc. Download Lines and Angles PDF.
In this chapter, you will learn about topics related to the congruence of geometric figures, inequalities in a triangle, isosceles triangle, etc. There are 5 exercises in this chapter which are well explained in the solutions to give you a complete understanding of triangles and its properties. Download Triangles PDF.
Chapter 8 of Class 9 is based on parallelograms, angles in parallelograms, diagonal properties of parallelograms and mid-point theorem. There are a total of 2 exercises in this chapter and the solutions for this chapter can be used to understand the properties of quadrilaterals along with various concepts. Download Quadrilaterals PDF.
Chapter-9 Areas of Parallelograms and Triangles:
There are a total of 4 exercises in this chapter. The solutions for this chapter provides an explanation for each exercise in a well-defined way to give you a clear understanding of topics related to the area of regions, area of parallelograms and area of triangles. Download Areas of Parallelograms and Triangles.
In this chapter, you will learn to find solutions to questions based on chords of a circle, properties of equal chords and cyclic quadrilaterals. The solutions for this chapter provides detailed solutions to all the 6 exercises, which will help you learn about topics such as the angle subtended by an arc of a circle, the angle subtended by a chord at a point, etc. Download Circles PDF.
This chapter has 2 exercises based on the construction of triangles, the bisector of a line segment, etc. Get a detailed explanation and answers to the questions based on these 2 exercises from this chapter in our solutions for Chapter 11. NCERT Solutions for chapter 11 will also help you understand the concept of measuring angles while studying the topic of constructions. Download Constructions PDF.
Chapter-12 Heron’s Formula:
This chapter on Heron's formula will help you learn how to calculate the area of a triangle when the length of all its sides is given. It also shows you how to find the area of quadrilaterals and other polygons. The detailed solutions provided for the 2 exercises of this chapter will give you sufficient practice to understand Heron's formula. Download Heron's Formula PDF.
Chapter-13 Surface Areas and Volumes:
There are 9 exercises in this chapter based on the surface area and volume of a cone, cuboid, cylinder, etc. Practice with our solutions for Class 9 Maths Chapter 13 to understand and find solutions to the problems related to the surface areas and volumes of cones, cuboids, cylinders, etc. Download Surface Areas and Volumes PDF.
Learn to group enormous data into a tabular form and to measure the central tendency through Class 9 chapter 14 solutions. It is a good way to learn and revise the concept of mean, mode, and median and to learn data representation in the form of bar graphs, histograms, etc. Download Statistics PDF.
The solutions of the chapter on probability will help you learn the techniques used to find possible ways in which a simple event can occur. Understand the concept of the experimental approach in probability with related concepts such as a trial, event, outcome, random and the formula for the probability of the event. Download Probability PDF.
Frequently Asked Questions:
How are NCERT Solutions prepared and what edge do they provide?
NCERT Solutions for Class 9 students cover all the important topics and concepts required for a strong mathematical foundation. Exclusively designed by highly qualified educators of the country, these solutions serve as an all in one math learning guide for Class 9 students. A perfect method to ace the CBSE Class 9 exam, these solutions also help in preparing children for various competitive exams including JEE, NTSE, Math Olympiad, etc.
Why are NCERT Solutions awesome to prepare for exams?
NCERT Maths Solutions are an amazing way of encouraging math learning in Class 9 students. Created by the best math experts in the country after long research and analysis, these solutions are exclusively designed to impart a strong conceptual knowledge in students through continuous practice. These NCERT solutions serve as an excellent resource to prepare students for the Class 9 exam. NCERT solutions not only help students in preparing for exams but also builds their confidence to face various competitive exams with a positive approach.
These solutions are well structured in a very simple and easy language to optimize self-learning in children. With these solutions, students grasp concepts better in a shorter time limit thus learning time-management for exams. Providing coverage to all the important topics and concepts, these solutions are helpful in preparing for various competitive exams including JEE, Math Olympiad, NTSE, etc.
Cuemath provides the most reliable and highly effective math NCERT Solutions from Class 7-10. Our solutions not only help students to prepare for exams but also help them in enhancing their problem-solving ability and reasoning power. With Cuemath's solutions, it becomes simple and easy for students to grasp various mathematical concepts in detail.
When to refer to NCERT Solutions for Class 9?
Mathematics in Class 9 covers topics based on complicated domains including trigonometry, probability, statistics, etc. Preparation for this type of learning requires thorough practice and a strong conceptual understanding of each and every topic. To achieve this conceptual proficiency, these solutions are the most reliable and useful reference for Class 9 students. The solutions also provide students with the necessary guidance and help with their homework and exam preparation. It can prove to be an efficient guide for self-learning in students in the absence of a tutor.
Why Cuemath’s NCERT Solutions are best?
A guide to the best math learning practices, Cuemath’s solutions are formulated by our in-house math experts to provide a competitive edge to the Class 9 students. You can simply learn from these high-quality, error-free video solutions as they are created in very simple and easy to understand language. These solutions are well explained to give in-depth knowledge of each and every topic in Class 9 Maths. Designed in a very concise yet explanatory and precise manner to impart a clear conceptual knowledge, Cuemath NCERT Solutions are formulated to create reasoning and problem-solving approach in kids.
How are Cuemath solutions different from competitors?
Cuemath offers the most effective Maths NCERT text and video solutions for Class 9 to help students prepare for exams. Our NCERT solutions are created by our in-house Maths experts, according to NCERT guidelines. They not only provide chapter wise solutions to various topics of Class 9 Mathematics textbooks but also help students grasp various mathematical concepts. Each topic in these solutions is elaborated in a highly detailed and efficient manner to implement faster and easier learning.
Cuemath’s NCERT math solutions are the most reliable and highly effective math solutions designed according to NCERT guidelines to develop a strong conceptual foundation in students for future competitive exams. It is a highly effective way of scoring high not only in board exams but also in various competitive exams including JEE, NTSE, Math Olympiad, etc.
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How can NCERT Solutions help in exam preparation?
NCERT Maths Solutions are the best way to attain the right approach for precisely answering the questions in exams. Keeping in mind the exam pattern and most coverage from NCERT books, these solutions are well formulated to provide excellent exam results. NCERT solutions promote impactful learning to top board exams because each exercise with complete solutions is explained in a detailed and strategic manner. It serves as an efficient way to optimize learning for better exam results. By practicing the exercises and reasoning provided in solutions, students attain a step by step clear conceptual understanding of topics required for good exam preparation.
Importance of NCERT Solutions for Competitive exams
Maths is not only an important subject but is also an essential life skill required for facing future challenges. It helps to enhance the problem solving and analytical capabilities in students required for being successful in life. When a child learns math through constant practice of these solutions, it helps them to develop their confidence to face competitive exams. These Solutions are well framed by famous math experts to implement faster learning. NCERT solutions are designed according to the best child learning practices to develop a strong conceptual knowledge in students. These Solutions for Class 9 Maths contains a step by step elaborated solution to each problem in a detailed manner. When Class 9 students use these Solutions to practice and revise math, they get a clear understanding of the fundamentals and develop a conceptual proficiency which is highly important for competitive exams like JEE, Math Olympiad.
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