The biggest gift of mankind is internet and this digital world will help you to achieve your goals and fly above all. Yes!! I am taking about mathematics preparation for class IX.
The syllabus of class IX is a bit tougher than junior classes. It marks the foundation for mathematics in higher classes as everything goes interconnected. Do you know if you want to take Non Medical stream in class XI, then you have to be very string with your mathematics concepts right from the beginning i.e. class IX.
Here we are providing NCERT Solutions for class 9 Maths, the solutions are latest and updated. You can download Solution for each and every chapters listed below chapter wise.
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NCERT Solutions for class 9 Maths Free PDF Download
Chapter 1 Number Systems
- Number Systems Class 9 Ex 1.1
- Number Systems Class 9 Ex 1.2
- Number Systems Class 9 Ex 1.3
- Number Systems Class 9 Ex 1.4
- Number Systems Class 9 Ex 1.5
- Number Systems Class 9 Ex 1.6
Chapter 2 Polynomials
- Polynomials Class 9 Ex 2.1
- Polynomials Class 9 Ex 2.2
- Polynomials Class 9 Ex 2.3
- Polynomials Class 9 Ex 2.4
- Polynomials Class 9 Ex 2.5
Chapter 3 Coordinate Geometry
- Coordinate Geometry Class 9 Ex 3.1
- Coordinate Geometry Class 9 Ex 3.2
- Coordinate Geometry Class 9 Ex 3.3
Chapter 4 Linear Equations in Two Variables
- Linear Equations in Two Variables Class 9 Ex 4.1
- Linear Equations in Two Variables Class 9 Ex 4.2
- Linear Equations in Two Variables Class 9 Ex 4.3
- Linear Equations in Two Variables Class 9 Ex 4.4
Chapter 5 Introduction to Euclid’s Geometry
Chapter 6 Lines and Angles
Chapter 7 Triangles
- Triangles Class 9 Ex 7.1
- Triangles Class 9 Ex 7.2
- Triangles Class 9 Ex 7.3
- Triangles Class 9 Ex 7.4
- Triangles Class 9 Ex 7.5
Chapter 8 Quadrilaterals
Chapter 9 Areas of Parallelograms and Triangles
- Areas of Parallelograms and Triangles Class 9 Ex 9.1
- Areas of Parallelograms and Triangles Class 9 Ex 9.2
- Areas of Parallelograms and Triangles Class 9 Ex 9.3
- Areas of Parallelograms and Triangles Class 9 Ex 9.4
Chapter 10 Circles
- Circles Class 9 Ex 10.1
- Circles Class 9 Ex 10.2
- Circles Class 9 Ex 10.3
- Circles Class 9 Ex 10.4
- Circles Class 9 Ex 10.5
- Circles Class 9 Ex 10.6
Chapter 11 Constructions
Chapter 12 Heron’s Formula
Chapter 13 Surface Areas and Volumes
- Surface Areas and Volumes Class 9 Ex 13.1
- Surface Areas and Volumes Class 9 Ex 13.2
- Surface Areas and Volumes Class 9 Ex 13.3
- Surface Areas and Volumes Class 9 Ex 13.4
- Surface Areas and Volumes Class 9 Ex 13.5
- Surface Areas and Volumes Class 9 Ex 13.6
- Surface Areas and Volumes Class 9 Ex 13.7
- Surface Areas and Volumes Class 9 Ex 13.8
- Surface Areas and Volumes Class 9 Ex 13.9
Chapter 14 Statistics
- Statistics Class 9 Ex 14.1
- Statistics Class 9 Ex 14.2
- Statistics Class 9 Ex 14.3
- Statistics Class 9 Ex 14.4
Chapter 15 Probability
- Chapter 1 Class 9 Number systems MCQ Questions
- Chapter 2 Class 9 Polynomials MCQ Questions
- Chapter 3 Class 9 Coordinate Geometry MCQ Questions
- Chapter 4 Class 9 Linear Equations in Two Variables MCQ Questions
- Chapter 5 Class 9 Introduction to Euclid Geometry MCQ Questions
- Chapter 6 Class 9 Lines and Angles MCQ Questions
- Chapter 7 Class 9 Triangles MCQ Questions
- Chapter 8 Class 9 Quadrilaterals MCQ Questions
- Chapter 9 Class 9 Areas of Parallelograms and Triangles MCQ Questions
- Chapter 10 Class 9 Circles MCQ Questions
- Chapter 11 Class 9 Constructions MCQ Questions
- Chapter 12 Class 9 Heron’s Formula MCQ Questions
- Chapter 13 Class 9 Surface Areas and Volumes MCQ Questions
- Chapter 14 Class 9 Statistics MCQ Questions
- Chapter 15 Class 9 Probability MCQ Questions
Chapter 1: Number Systems
In this chapter, students will learn about the concept of an irrational number, real numbers, and their decimal expansions, they will also learn the techniques of real numbers on the number line, different kind of operations on real numbers, and about the laws of exponents for real numbers. Overall there are 7 exercises, solve the questions and in case of any doubt refer our book. As we provide a step-by-step description of each question for making you perfect in the number system.
Chapter 2: Polynomial
Polynomial is a type of algebraic expression. In previous classes, you understood factorization of algebraic expression, so apply those concepts and learn some new concepts while solving polynomials. Here students will familiarize themselves with the concept of polynomials in one variable, zeroes of a polynomial, remainder theorem, factorization of polynomials, and algebraic identities. There are 7 exercises in this chapter. Solve them and take our book help in case you are unable to get the desired answer or if you find it difficult to solve any question.
Chapter 3: Coordinate geometry
In earlier classes, you studied the location of a point on a particular line. And now in this chapter, you will learn how to locate point which is not present on that line, but at some other place. In this chapter students will be introduced to the concept of Cartesian system, plotting a point in the plane if its coordinates are given. Make yourself aware of X and Y axis and plot a point using a graph. There are 5 exercises in this chapter including the summary.
Chapter 4: Linear Equations and Two variables
In previous classes, you understood linear equations in one variable and now it’s the time to add one more variable. In this chapter, students will understand what is a linear equation, solving linear equations, graphical representation of linear equation in two variables, equations of lines parallel to the x-axis, and y-axis. Like other chapters there are 5 exercises including the summary exercise. Attempt all the questions for knowing your practice, and consult our book in case you need any help.
Chapter 5: Introduction To Euclid’s Geometry
Here students will learn about Euclid’s definition, axioms, and postulates, equivalent versions’ of Euclid’s fifth postulate. There is a theorem in this chapter which states that two distinct lines can’t have more than one common point. Solve the exercises, know about the postulates of Euclid for grasping the chapter in a better way. And yes for any kind of difficulty refer our book containing solutions of all exercises.
Chapter 6: Lines and Angles
In chapter 5 students understood that the minimum two points are needed to draw a line, they also became aware of some axioms. Now, this chapter introduces students to the basic terms and definition of line and angles. Students will learn about intersecting and non-intersecting lines, pair of angles, transversal and parallel lines, lines parallel to the same line, and finally the angle sum property of a triangle. And like previous chapters, this chapter also ends up with exercises.
Chapter 7: Triangles
In your previous classes, you learned about triangles and their properties and in chapter 6 you understood some triangle properties. Students will learn about the congruence of triangles, criteria for congruence of triangles, properties of a triangle, and inequalities in a triangle in this chapter. Congruent triangles are those triangles who are equal in size or you can say a replica of each other. Learn more about congruent triangles and solve the exercises at the end.
Chapter 8: Quadrilaterals
In previous chapters, students learned about triangles which have three angles. Now add one more angle in the figure and see what comes up. A quadrilateral has 4 angles. Here, students will learn about the angle sum property of quadrilaterals, different type of quadrilaterals, properties of a parallelogram, conditions that make a quadrilateral parallelogram. Finally, students will be introduced to the concept of the mid-point theorem. So learn the new concepts and take our help in case you stuck somewhere.
Chapter 9: Areas of parallelogram and triangles
In this chapter, students will learn about figures having the same base and between the same parallels, parallelograms on the same base and between the same parallels, triangles on the same base and between the same parallels. Also, learn about trapezium. There are 4 exercises in this chapter. Solve each of them, initially, you may find them difficult, but try to attempt them by yourself and take the guidance of our book in case of any doubt.
Chapter 10: Circles
Here students will learn what is a circle and its related terms, the angle of a chord at a point, perpendicular from the center to a chord, circle through three points, equal chords and their distance from the center, the angle subtended by the arc of a circle, and cyclic quadrilaterals. There are 2 theorems in this chapter related to chords. Go through these theorems and learn how to prove them. Refer our solved book in case you face any difficulty.
Chapter 11: Construction
In previous chapters, you came across triangles. But those triangles were not made with precision. As those were for your understanding purpose only. Now in this chapter, students will learn about the basics of construction, and work with some construction on triangles. Know how to measure the angle with protector, how to draw perpendicular and how to use the compass. You may find this chapter interesting if you get the correct knowledge of construction. Solve the exercises at the end.
Chapter 12: Heron’s formula
From previous chapters, you have an understanding of squares, triangles, rectangles, and quadrilaterals. You know how to calculate perimeters and area. Now in this chapter calculate the area with a different formula. Here, students will learn about the area of a triangle as per Heron’s formula, application of heron’s formula while finding the area of a quadrilateral. Solve the exercise and take a grasp on this new formula.
Chapter 13: Surface Area and Volumes
Through previous chapters, you became aware of the area and perimeter of figures. Now learn about new shapes and sizes in this chapter and how to calculate their volume and surface area. Here students will learn about calculating the surface area of cuboid, and cube, right circular cylinder, right circular cone, the surface area of a sphere, Volume of a cuboid, the volume of a cylinder. Moreover, students will come to know about the volume of right circular cone, and volume of a sphere.
Chapter 14: Statistics
In your day-to-day life, you may come across various data in newspaper or magazines. You can also take an example of polling results. All these data, when kept in a meaningful manner is called statistics. Here, in this chapter students will learn about data collection, data presentation, representing data graphically, measurement of central tendency. Solve exercises and learn about the calculation of mean, median and mode. As these three are important from a statistics point of view.
Chapter 15: Probability
In this chapter, students will become familiar with the concept of probability and its experimental approach. Probability is nothing but the uncertainty of any circumstances. And in mathematics, it is possible to calculate probability. The chapter contains activities which you need to do by yourself. It also contains examples along with the exercises. Understand examples and solve exercises for achieving mastery in probability.
Download Complete NCERT Textbooks PDF Free
NCERT textbooks are the most commonly used textbooks across various schools in India and they are the ones proving guidelines for other authored books such as RD Sharma etc.
Not following NCERT textbooks may turn out to be your biggest mistake as the exam conductors just follow NCERT and its problem solving fundas and do not prefer any other methodology taught in any other help book. So, if you are looking for NCERT solutions for class 9 Maths, then you have landed on the perfect place.
Our solutions cover the entire 15 chapters from number systems to liner equations, geometry to probability and statistics. Class IX maths is a bit confusing and if concepts are not cleared in here then class X becomes a nightmare.
Students confuse between when to use permutation and combination, we can vividly explained the things. All the answers savvy and resonate well with the latest syllabus prescribed by NCERT. The entire problem solving steps and the methodology followed is obtained from the NCERT text books.
The solution includes step by step procedures with proper reasoning and explanations needed so that it becomes easier for any student irrespective of its IQ to understand and absorb the concept.
With our solutions we believe that you would not require any other help as the solutions are well detailed. All the 15 chapters are covered well so as to prepare you not only for the class IX but to provide a solid foundation for class X, XI and XII.
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