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# NCERT Solutions for Class 9 Maths

NCERT Solutions for Class 9 Maths help you build a better understanding of all the Chapters of CBSE Class 9. NCERT Class 9 Solutions aims to bridge the gaps in bookish learning by presenting the topics in an interactive manner along with solved examples and textbook exercises. There are a total of 15 chapters in the NCERT Class 9 Maths textbook.

Some of the important chapters of CBSE Class 9 Maths are- Number Systems, Polynomials, Coordinate Geometry, Lines and Angles, Statistics among others. You can find below the Chapter-wise NCERT Solutions for Class 9 Maths prepared by the highly experienced subject matter experts. The Solutions for all the exercises are prepared in an easy to understand language and step-by-step format. The solutions are in alignment with the latest CBSE syllabus.

With the help of these NCERT Solutions for CBSE Class 9 Maths, you will be able to grasp the concepts of CBSE Maths syllabus of Class 9 in no time. Thus, you save more time to practice Maths questions. These solutions will also be helpful for you while preparing for Olympiads and Competitive Exams like NTSE etc.

Class 9

## Chapter-wise NCERT Solutions for Class 9 Maths

NCERT Solutions for CBSE Class 9 Maths are organised and selected in such a manner that you can take reference of the exercise questions from your daily lives. The objective is to make maths a more relatable subject for you so that you can get out of the regular boring schedule and relieve your stress by boosting your curiosity exponentially. The solutions are written in simple language to save your time and to facilitate your studies. Here is the list of chapters included in CBSE NCERT syllabus:

## NCERT Solutions for Class 9 Maths Chapter 1: Number Systems

This chapter introduces you to irrational numbers. Thus, giving you an idea of the complete set of Real numbers. It also includes Decimal Expansion of the Real Numbers, their representation on the number line, performing Operations and Laws of Exponents for Real numbers

• Number of Exercises: There are a total of 6 exercises in Chapter 1 of NCERT Solutions for Class 9 Maths.
• Total Number of Questions: In this Chapter, we will solve a total of 27 questions.

## NCERT Solutions for Class 9 Maths Chapter 2: Polynomials

In this chapter, you will learn about Polynomials in one variable and their zeroes. You will also learn the application of Remainder theorem and Factorisation of Polynomials, along with various algebraic identities

• Number of Exercises: There are a total of 5 exercises in Chapter 2 ‘Polynomials’ of NCERT Solutions for Class 9 Maths.
• Total Number of Questions: In Chapter 2, we will solve a total of 33 questions.

## NCERT Solutions for Class 9 Maths Chapter 3: Coordinate Geometry

The chapter coordinate geometry is included in the syllabus to explain the cartesian system. After going through this chapter, you will be able to mark a point in the plane if its coordinates are given.

• Number of Exercises: There are a total of 3 exercises in Chapter 3 of NCERT Maths textbook.\
• Total Number of Questions: We will solve a total of 6 questions in this chapter, which will be based on various topics of Coordinate Geometry.

## NCERT Solutions for Class 9 Maths Chapter 4: Linear Equations in Two Variables

Our subject matter experts have solved problems of linear equations in two variables. In this chapter, you will learn the technique of drawing graphs of a linear equation in two variables and the solutions of Equations of lines parallel to the X-axis and Y-axis.

• Number of Exercises: There are a total of 4 exercises in Chapter 4- ‘Linear Equations in Two Variables’ of Maths NCERT textbook.
• Total Number of Questions: There are 16 questions in total that we will solve in this chapter.

## NCERT Solutions for Class 9 Maths Chapter 5: Introduction to Euclid’s Geometry

Chapter 5 discusses the axioms and postulates of Euclid’s geometry and the equivalent versions of Euclid’s fifth postulate.

• Number of Exercises: In this chapter there are a total of 2 exercises that are based on Euclid’s Geometry.
• Total Number of Questions: We have given solutions to all the 9 questions available in Chapter 5 – ‘Euclid’s Geometry’

## NCERT Solutions for Class 9 Maths Chapter 6: Lines and Angles

Chapter 6 includes the core geometrical concepts such as basic definitions, intersecting and non-intersecting lines, pairs of angles, parallel lines and a transversal. The Chapter 6 NCERT Solutions for Class 9 Maths also hold a discussion about lines parallel to the same line and angle sum property of a triangle.

• Number of Exercises: We will solve total 3 exercises in Chapter 6 Lines and Angles
Total Number of Questions: Our subject matter experts have prepared solutions to all 18 questions that are based on various topics of Lines and Angles

## NCERT Solutions for Class 9 Maths Chapter 7: Triangles

We have comprehensive coverage of this chapter’s exercise questions, which include various criteria for congruence of triangles, properties of a triangle and inequalities in a triangle.

• Number of Exercises: In Chapter 7, there are 5 exercises in total.
• Total Number of Questions: In each exercise of Chapter 7 of Class 9 Maths, we have prepared step-by-step solutions to all 31 questions available.

## NCERT Solutions for Class 9 Maths Chapter 8: Quadrilaterals

The solutions of Chapter 8 of NCERT Textbook for Class 9 Maths, you will find the introduction to quadrilaterals and their angle sum property. You will also learn about the different properties of a parallelogram; conditions for a quadrilateral to be a parallelogram; and the midpoint theorem.

• Number of Exercises: In Chapter 8, there are only 2 exercises in total.
• Total Number of Questions: In each exercise of Chapter Quadrilaterals, our subject matter experts have prepared detailed solutions to all 19 questions available.

## NCERT Solutions for Class 9 Maths Chapter 9: Areas of Parallelograms and Triangles

Now that you will have learnt the features of a parallelogram and triangle, you will move a step ahead to be able to find the areas of these figures with the same base and between the same parallel lines.

• Number of Exercises: In Chapter 9, there are 4 exercises present.
• Total Number of Questions: We have given complete solutions to all 31 questions available in the Chapter 9

## NCERT Solutions for Class 9 Maths Chapter 10: Circles

You will get a review of a Circle and its related terms, in this chapter. Other topics covered in this chapter are Chord in a circle and its properties, Circle through Three Points, Angle Subtended by an Arc of a Circle, and Cyclic Quadrilaterals.

• Number of Exercises: In Chapter 10- Circles, there are 6 exercises in total.
• Total Number of Questions: You will get complete solutions to all 35 questions present in this chapter. The questions of Chapter 10 Maths are based on various topics of Circles.

## NCERT Solutions for Class 9 Maths Chapter 11: Constructions

In Class 9 Maths Chapter 11, you will be able to revise the basic construction techniques while learning about the construction of some triangles.

• Number of Exercises: In Chapter 11 ‘Constructions’, there are only 2 exercises.
• Total Number of Questions: You will get complete solutions to all 10 questions present in the exercises. The questions of Chapter 11 Maths are based on various topics of Constructions.

## NCERT Solutions for Class 9 Maths Chapter 12: Heron’s Formula

You will find a simpler way to find the area of triangles using Heron’s formula and its application in finding the area of quadrilaterals. We have tried to give easiest solutions to all the questions asked in each exercise of Chapter 12.

• Number of Exercises: In Chapter 12 Heron’s Formula, there are again only 2 exercises available.
• Total Number of Questions: In these two exercises, we have given solutions to all the 15 questions that are present in these exercises. You will find the solutions easy-to-understand.

## NCERT Solutions for Class 9 Maths Chapter 13: Surface Area and Volumes

By practising the solutions of this chapter you will learn the main topics of this chapter such as finding the area of the surface and volume of cuboids, right circular cylinders and cones, and spheres.

• Number of Exercises: Chapter 13 ‘Surface Area and Volumes’ consist of total 9 exercises
• Total Number of Questions: There are a total of 75 questions available in this Chapter. At Instasolv, our subject matter experts have prepared detailed answers to all the questions present in this chapter in a very robust manner.

## NCERT Solutions for Class 9 Maths Chapter 14: Statistics

In Statistics, you will learn about methods of collection and presentation of data, and its graphical representation. You will also be able to solve problems of Central Tendency.

• Number of Exercises: Chapter 14 ‘Statistics’ consist of only 1 exercise
• Total Number of Questions: In this chapter we have given solutions to all 26 questions in a well structured manner

## NCERT Solutions for Class 9 Maths Chapter 15: Probability

After going through the NCERT Solutions for Class 9 Maths, you will realise that probability is an experimental approach and a very interesting subject to explore.

• Number of Exercises: Chapter 15 ‘Probability’ is the last chapter of Class 9 Maths textbook, which consist of only 1 exercise
• Total Number of Questions: There are 13 questions in total, and our subject matter experts have given easy solutions to each question of Chapter 15 below.

### Benefits of Solutions of NCERT Class 9 Maths provided by Instasolv

• Boost Analytical Skills: The step by step solution will help you analyse the demand of the problem and therefore will improve your analytical power.
• Improve your Score: You will be able to substantially improve your score after brainstorming through the solutions of the NCERT Maths book exercise questions provided to you by Insatsolv.
• Build a Robust Base: With clarity in concepts, you will be able to approach your higher classes and competitive exams with increased confidence. Ultimately, with a robust practice of the exercise questions, you will increase your marks in the higher classes as well.
• Boost Curiosity: The solutions are provided in alignment with the CBSE guidelines with an objective to help you to be able to relate maths to the problems of your daily life a and hence, enhance your curious mind.