NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 9 Maths has a total of 15 Chapters. All these chapters are very essential to score well in CBSE Class 9 Maths Exam. These NCERT solutions will not only help you to solve all the problems, but they are also a good revision tool that you can use before the exam.
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 & what career options can a student explore accordingly. Your performance 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. A student should be able to solve
each and every Maths questions present in NCERT Class 9 to score good marks in Exams.
Swiflearn makes sure you get the best quality study material on the internet. The solutions are created by the best teachers in India. This leaves a profound impact on your performance and grades in school. Swiflearn has NCERT Solutions Class 9th core subjects i.e. Maths & Science. Swiflearn provides comprehensive answers that will help you understand each subject in a detailed manner.
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 it 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.