If you are searching for NCERT Solutions for Class 9 Maths, you have reached the correct place. We have created the most accurate and detailed solutions for Class 9 Maths NCERT solutions. NCERT Class 9 Maths Solutions include all the questions provided as per the new revised syllabus in the Class 9 Maths NCERT textbook. You can download PDFs of Maths NCERT Solutions for Class 9 without any LOGIN. You can also practice Extra Questions for Class 9 Maths.
NCERT Class 9 Maths Solutions – NCERT Solutions Class 9 Maths
Chapter 1 Number Systems
Chapter 2 Polynomials
Chapter 3 Coordinate Geometry
Chapter 4 Linear Equations in Two Variables
Chapter 5 Introduction to Euclid 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 Maths (Download PDF)
There are 15 chapters in class 9 maths. These chapters lay a foundation for the chapters that will come in class 10. This PDF is accessible to everyone, and they can use this PDF based on their convenience. Here below, we are providing you with an overview of each and every chapter appearing in the textbook.
In this article, we will provide you with all the necessary information regarding Class 9th Maths NCERT Solutions. NCERT Maths Class 9 Textbook Solutions, solved by expert teachers, provide you with a strong foundation in the subject of Maths. The 9th CBSE Maths Solutions are solved keeping various parameters in mind such as stepwise marks, formulas, mark distribution, etc. This in turn helps you not to lose even a single mark.
It is important to build a strong base in Maths. This is one subject that will be useful for every student, irrespective of their branch. Thus, we are providing you with NCERT Solutions for Class 9 Maths. This PDF can guide you to all the solutions given in the NCERT textbook along with the exercises.
Maths plays a major role in every student’s life. Working on NCERT Solutions Class 9 Maths Notes will not only help you to score good marks in grade 9 but also helps you to clear the toughest competitive exams like JEE, NEET, JEE Advanced, etc. Further, these Class 9 Maths Solutions will also be helpful in clearing exams like Olympiad and NTSE, through which you can easily avail of scholarships and make your education journey hassle-free. Read on to find out everything about NCERT Class 9th Maths Solutions to secure colorful marks in CBSE grade 9.
NCERT Solutions for Class 9 Maths PDF Download
Browse all 9th NCERT Maths Solutions from your mobile or desktop and gain more marks in your exams. You can also go through the Chapterwise Important Questions for Class 9 Maths which will help you in extra practice and exams. This consists of 1-mark Questions, 2-mark Numerical Questions, 3-mark Numerical Questions, 4-mark Questions, Word Problems, and previous year questions (VSAQ, SAQ, LAQ, and Value-Based Questions) from all chapters in class 9 Maths designed according to CBSE Class 9 Maths Syllabus, laid out in a sequential manner, will help in scoring more marks in your Board Examinations.
Class 9 Maths Chapter 1 Number Systems
This chapter is an extension of the number line you have studied in the previous standards. You will also learn how to place various types of numbers on the number line in this chapter. A total of 6 exercises in this chapter guide you through the representation of terminating or non-terminating recurring decimals on the number line. Along with the rational numbers, you will also learn where to put the square roots of 2 and 3 on the number line. There are also laws of rational exponents and Integral powers taught in this chapter.
Class 9 Maths Chapter 2 Polynomials
This chapter guides you through algebraic expressions called polynomials and various terminologies related to them. There is plenty to learn in this chapter about the definition and examples of polynomials, coefficients, degrees, and terms in a polynomial. Different types of polynomials like quadratic polynomials, linear constant, cubic polynomials, factor theorems, and factorization theorem are taught in this chapter.
Class 9 Maths Chapter 3 Coordinate Geometry
A total of 3 exercises in this chapter will help you understand coordinate geometry in detail. Concepts like the Cartesian plane, terms, and various terms associated with the coordinate plane are learned in this chapter. You will also learn about plotting a point in the XY plane and the naming process of this point.
Class 9 Maths Chapter 4 Linear Equations in Two Variables
This chapter will introduce a new equation, ax + by + c = 0 in two variables. The questions in this chapter will be related to proving that a linear equation has infinite solutions, using a graph to plot linear equations, and justifying any point on a line. A total of 4 exercises are there for your practice and understanding.
Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry
The chapter begins with the introduction of Indian geometry as it has some basis in Euclid’s geometry. The Introduction of Euclid’s geometry in this chapter helps you with the process of defining geometrical terms and shapes. There are a total of 2 exercises where you will delve into the relationship between theorems, postulates, and axioms.
Class 9 Maths Chapter 6 Lines and Angles
This chapter in the NCERT textbook also has 2 exercises in it. There are various theorems on angles and lines in this chapter that can be asked for proof. The first theorem which will be asked for proof is, “If two lines intersect each other, then the vertically opposite angles formed will be equal.” Also, the second proof that is asked is, “The sum of all the angles formed in a triangle is 180°.” There are other theorems also given, but these are based on only these two theorems.
Class 9 Maths Chapter 7 Triangles
The contents in this chapter will help in understanding the congruence of triangles along with the rules of congruence. This chapter also has two theorems in it and a total of 5 exercises for students to practice. These two theorems are given as proof while the other is used in the problems or applications. Besides this, there are many properties of inequalities and triangles in this chapter for students to learn.
Class 9 Maths Chapter 8 Quadrilaterals
This chapter is very interesting for students to learn and there are only 2 exercises in it. The questions in this chapter are related to the properties of quadrilaterals and their combinations with triangles.
Class 9 Maths Chapter 9 Areas of Triangles and Parallelogram
This chapter is important to understand the meaning of area. In this chapter, the areas of triangles, parallelograms, and their combinations are discussed along with their proofs. There are also examples that are used as proofs of theorems in this chapter.
Class 9 Maths Chapter 10 Circles
In this chapter, you will get to learn some interesting topics like equal chords and their distance from the center, the chord of a point and angle subtended by it, angles subtended by an arc of a circle, and cyclic quadrilaterals. There are also theorems in this chapter that are helpful to prove questions based on quadrilaterals, triangles, and circles.
Class 9 Maths Chapter 11 Constructions
This chapter will help you learn two different categories of construction. One of them is the construction of a triangle along with its base, difference or sum of the remaining two sides, and one base angle with given base angle and parameters. The other is the construction of bisectors for the line segments and measuring angles that include 45°, 60°, and 90°, etc.
Class 9 Maths Chapter 12 Heron’s Formula
This chapter includes 2 exercises. In this chapter, you will be learning concepts that are an extension of concepts related to the area of a triangle. Furthermore, you will get to learn about finding the area of triangles, quadrilaterals, and various types of polygons. Along with this, there is also knowledge of the formula for plane figures given in the chapter.
Class 9 Maths Chapter 13 Surface Areas and Volume
You have already studied mensuration in previous standards. Thus, you must be aware of surface areas and this chapter focuses on that. Along with this, this chapter also covers the volume of cubes, cylinders, cuboids, cones, hemispheres, and spheres. Additionally, in this chapter, you will get to know about the conversion of one figure into another, and comparing volumes of two figures.
Class 9 Maths Chapter 14 Statistics
In this chapter, you will gain knowledge about descriptive statistics and the collection of data based on different aspects of life. This is useful for interpreting and stating the inferences from the data. This chapter gives basic knowledge of data collection as the data is available in raw form. As you move forward and study 5 exercises, you will learn about presenting data in tabular form by grouping them together in regular intervals, and drawing polygons, histograms, or bar graphs. You will also learn about topics like mean, median, and mode, and finding the central tendency with raw data.
Class 9 Maths Chapter 15 Probability
Probability in this book is based on the observation approach or finding the frequency. The questions are very intuitive and interesting as they are based on real-life or day-to-day situations. There is only one exercise in this chapter and this exercise will require you to find the probability of a situation.