NCERT Solutions for Class 9 Maths
Class 9 is one of the most crucial classes in a student & life. This Class decides what the future of a student is going to be and what career options can a student explore accordingly. Your success in the Class 10th CBSE Board Exam depends upon Class 9 performance. Class 9 builds the right foundation by providing knowledge of all subjects for further studies. Scoring good marks in Class 9 is equally challenging. As a result, NCERT solutions for Class 9 Maths play a vital role in helping the students ace their Class 9th Maths exam with flying colors.
NCERT Solutions for Class 9 Maths FREE PDF
Among all the study material available out there, NCERT is preferred and liked by many as NCERT Class 9 Maths Solutions has a structure that is easy to learn and comprehend. The concepts and the in-depth reasoning are easy to understand and help with the preparation of school exams as well as competitive exams. We recommend Class 9th Maths NCERT Solutions as a good revision tool before the commencement of your final examinations.
The Class 9 Maths Solutions NCERT comes in a PDF format and covers all the exercises of 15 chapters of the NCERT textbook for Class 9. Written in accordance with the latest CBSE exam guidelines, NCERT Solutions of Class 9 Maths help students prepare better for the exams and score well. The PDF is also important to grasp vital concepts from each chapter of Class 9 Maths.
NCERT Class 9 Maths Solutions for Session 2020-2021
Maths Class 9 NCERT Solutions are available in a PDF format and are a highly reliable, accurate source of information for students sitting for their final exams. Designed by curriculum experts at SwifLearn, the PDF comprises exhaustive, detailed, and step-by-step explanations to all the problems of the NCERT Maths Class 9 textbook. Regular practice along with thorough use of NCERT Solutions for Class 9 Maths is a prerequisite for the students to score well in their Maths examinations.
NCERT Solutions for Class 9 Maths – Chapters & Exercises
The first chapter solved in NCERT Solutions Maths Class 9 is the Number System. In this chapter, you will be learning the extended version of the number line and how to represent various types of numbers. With a total of 6 exercises, this chapter contains the representation of terminating/non-terminating recurring decimals on the number line (and successive magnification method). With the knowledge of rational numbers, you will also learn about the presentation of square roots of 2, 3, and other non-rational numbers. Laws of integral powers and rational exponents with positive real bases in Number Systems and Rationalization of real numbers. Get the NCERT Maths Class 9 solutions to help you to answer all the exercises given in the textbook for this chapter.
The second chapter Polynomials and its solutions are explained in detail in NCERT MathsSolutions Class 9. This chapter explains the algebraic expression called polynomial and the detailed terminologies related to it very clearly. With a total of 4 exercises, you will be learning plenty of examples and definitions of a polynomial, degrees, coefficient, zeroes, and terms of a polynomial. Types of Polynomials – linear, constant, quadratic, and cubic polynomials, monomials, binomials, trinomials. Factors and multiples, Remainder and factor
theorems, factorization of polynomials using factor theorem. Get the NCERT Solutions of Class 9 Maths available as free PDF downloads to help you to solve the exercise problems.
NCERT Maths Solutions Class 9 gives the answers to chapter 3 of the syllabus – Coordinate geometry. Chapter 3 has a total of 3 exercises for the students to solve. You will be studying the concept of the cartesian plane, coordinates of a point in this XY – plane, name, terms, notations, and other terms associated with the coordinate plane. Abscissa and ordinate of points. You will learn to Plot a point in XY – plane and the process of naming it.
The Maths Class 9 NCERT Solutions elaborates about Chapter 4 – Linear Equations in Two Variables. This chapter will take you through the introduction to the equation in two variables of the type ax + by + c = 0. You will see a total of 4 exercises in this chapter with questions related to Proving a linear equation has an infinite number of solutions, plotting a linear equation on graph and justification of any point on the line.
The answers to Chapter 5 are available in the NCERT Class 9 Math Solution. Euclid’s geometry chapter has some introduction to it as a part of the history of Indian geometry. Introduction to Euclid’s Geometry provides you with a way of defining the common geometrical shapes and terms. With a total of two exercises, you will be delving deeper into the relationship between axiom, postulates, and theorems.
The NCERT Math Solution Class 9 answers all the questions of Chapter 6 – Lines and Angles. With three exercises in total, this chapter has theorems in Lines and Angles chapter which may be asked for proof. First is of type “If two lines intersect, vertically opposite angles are equal” and the second proof that is asked is “The sum of the angles of a triangle is 180”. The rest of the theorems are also explained in detail and questions will be asked based on
all these theorems.
The Class 9 NCERT Maths Solutions also have answers to the chapter of triangles. In Chapter 7, Triangles of Class 9 Maths, you will study the congruence of Triangles in detail along with rules of congruence. With a total of 5 exercises, this chapter has two theorems that are given for proof and the rest will be asked in the form of applications/problems. Also, there are many more properties of triangles and inequalities in a triangle to learn in this
The 9th Class Maths book solutions for chapter 8 talks about Quadrilaterals. This Chapter on Quadrilaterals consists of only two exercises. However, it is a very interesting chapter with only one theorem for proof. Others will be asked in the form of application and conceptual questions. Questions in quadrilaterals are based on properties of quadrilaterals and combinations of them with triangles.
Areas of Parallelograms and Triangles. This chapter explains the meaning of the area right from the introduction part. Areas of parallelograms and triangles and their combinations given in this chapter will be asked to prove in most of the questions. An example of the median may be used as a theorem in most of the questions.
As per the syllabus of CBSE, Chapter 10 of Math Class 9 is about circles. Class 9 NCERT Maths solutions provide answers to all the questions in this chapter. In this chapter, you will be learning some interesting topics like Angle Subtended by a Chord at a Point, Equal Chords, and their respective distances from the Centre, the angle Subtended by an Arc of a Circle, Cyclic Quadrilaterals. The other important theorems prove to help solve questions based on a triangle, quadrilateral, and circles.
Chapter 11 of Class 9 Maths is about Constructions. The NCERT Math Solution Class 9 elaborates on these solutions. With a total of just two exercises, you will be learning two categories of constructions. One is the construction of bisectors of a line segment and angles of measure including 60, 90, 45, etc. The other category which you will be learning is the construction of a triangle with its base, sum/difference of the other two sides and one base angle & given perimeter and base angles are given.
Chapter 12 of CBSE Class 9 Maths talks about Heron’s formula. The NCERT Maths solution for Class 9 gives the answers to all exercises of this chapter for students. What all you will be learning in this chapter is just the extension of concepts related to the area of a triangle. You will learn about the use of Heron’s formula to find the area of quadrilaterals, triangles, (dividing it into two triangles), and other types of polygons. Knowledge of formulae of plane figures is also imparted in this chapter which will help in doing questions.
Students are well aware of surface areas and volumes as they have already studied mensuration in earlier classes. This chapter also has problems based on surface areas and volumes of cubes, cuboids, cylinders, cones, spheres, and hemispheres. Conversion of one of the figures into another, comparing volumes is also given as an application of mensuration. The answers to all these problems are available in NCERT Solution Class 9th Maths.
NCERT Maths Book Class 9 Solutions provides you precise and elaborate answers to the problems on statistics. Description of statistics in this chapter is explained simply as the collection of data on different aspects of the life of people, which is useful to the State and interpretation and drawing of inferences from the data. With a total of four chapters, Introduction to statistics includes the presentation of data collected in a raw form. Building blocks of this chapter are a presentation of data in tabular form by grouping them in a regular interval, histogram or polygon, bar graph drawing. Topics like how to find the measure of
central tendency mean and mode and median of raw data.
With only one exercise, Math NCERT Solution Class 9 provides an answer to all the questions. The chapter Probability of Class 9 Maths is based on the frequency or the observation approach. Questions in this chapter 15 of Class 9 Maths are very interesting and are based on real-life or day to day incidents such as coin tossing, throwing dice, a deck of card probability, and simple events. This chapter is quite fun to learn if you are curious enough to delve deeper.
CBSE Class 9 Maths Chapter-wise Marks Weightage
The question paper for Class 9 is prepared as per the syllabus and marks-distribution prescribed by the Central Board of Secondary Education (CBSE). The written exam of CBSE Class 9 Maths is 80 Marks and the remaining 20 Marks are for internals & assessments.
CBSE follows a step-wise marking scheme, where the students are awarded marks for every correct step performed by them. As a result, it’s essential that students thoroughly practice questions from past years and refer to the PDF of NCERT Solution for Class 9 Maths for a better understanding of concepts.
|Unit No.||Unit Name||Marks|
|6||Statistics & Probability||10|
CBSE Class 9 Maths Exam Pattern
To test the preparation level of the students, the CBSE brings a slight change in its exam pattern every year. As a result, all the students must be well aware of the upcoming exam pattern for the Class 9th Maths exam. Being aware of the exam pattern allows students to practice accordingly and can help them score high by referring to Maths NCERT Class 9 Solutions PDF.
As per the latest exam pattern, 25% of the questions will be Objective-type in different formats like MCQ, fill in the blanks, and short answer questions.
|A||20 Questions of 1 Mark Each|
|B||6 Questions of 2 Marks Each|
|C||8 Questions of 3 Marks Each|
|D||6 Questions of 4 Marks Each|
|Total||40 Questions of Total 80 Marks|
Benefits of NCERT Solutions for Class 9 Maths for the students
NCERT Solutions for Class 9 Maths are considered to be one of the easiest yet effective solutions for Class 9th Maths examinations. Designed by expert educators and curriculum designers, the PDF solutions for Class 9th Maths are a must for all the students to clear their concepts and perform better in the exams.
Some of the important benefits of the NCERT Solutions for Class 9 Maths are listed below.
- It helps you to build a stronger base for Maths as the concepts are very much clear and efficiently explained which helps a student to develop confidence for CBSE exams and future competitive exams.
- NCERT solutions have some easy to learn steps that will help you to easily perceive and resolve some tough questions for the examinations.
- Unlike other guides that give unnecessary details on the topic, the NCERT syllabus is yet not lengthy and is effective which helps to understand the concepts easily.
- The NCERT solutions and study materials provide the best framework not only for the school and board exams but also for all competitive examinations.
FAQs for NCERT Solution for Class 9 Maths
- Is NCERT enough for Class 9th final examinations?
NCERT is a smartly designed course structure that revolves around CBSE and which is why 78% of students prefer as the concepts and the formulas are designed and explained in a way that is easy to understand and the examination questions are from CBSE only.
- How to master in Class 9th Maths of CBSE?
You do not need to go through all the guides available in the market but effectively practicing and exercising Class 9th NCERT is enough and as the course of CBSE is from NCERT, therefore regular practices will help a student to achieve good marks in Maths examinations.
- Where to find Class 9th NCERT Solutions?
Finding the best and the effective solution for Class 9th could be tricky and whichis why SwifLearn subject experts have prepared them so that without wasting your time you can start learning right away. The solutions are arranged chapter-wise and exercise-wise so that while practicing without wasting time you can enhance and practice for your Maths final exam.
- Which is the official website for NCERT?
http://ncert.nic.in/ is the official website for NCERT. The NCERT provides various study materials, textbooks, and also there is a lot of material for teachers as well to prepare the syllabus and the schedule for students preparing for the Class 9th Maths exam.
- What are the concepts explained in the solutions of NCERT Class 9 Maths Textbook?
NCERT Solutions for Class 9 Maths assists all CBSE Class 9 students in offering some helpful tricks and tips to solve Math problems at the end of each chapter and if you are an aspiring Maths student or you are looking forward to taking Maths after Class 9th please clear your concepts with the help of NCERT as these concepts are going to help you in future academic years.