NCERT Solutions Class 9 Mathematics

Mathematics is considered to be a difficult subject. Students struggle in CBSE Class 9 Mathematics due to the increased complexity of themes and difficulty level of problems. It’s important to take the right guidance and optimise your potential. No wonder, NCERT Solutions come handy and it’s worth giving a shot because NCERT Solutions for Class 9 Mathematics will provide practical problem-solving solutions for CBSE 9th grade students while tackling the practice and in-text questions in the textbook.

 

NCERT Solutions Class 9 Mathematics Download

For students  preparing for CBSE examinations and state or competitive tests such as Olympiads, NCERT solutions Class 9 are undoubtedly useful. The NCERT textbooks follow the guidelines for the CBSE examinations. Furthermore, these solutions assist students in preparing for class 10th and the equivalent board exams.

 

Benefits of NCERT Mathematics Solutions for Class 9

  • Students can  improvise their preparation strategy by using the NCERT 9th Class Mathematics Books Solutions for Class 9 Mathematics syllabus. 
  • Experts at Extramarks have especially designed it to provide you with the finest in one spot. All solutions are written by subject specialists in  simple language for students to help themselves without any further assistance and become independent learners.
  • Students are provided diagrams to assist them visualise the problems and solutions. 
  • Detailed and explanatory solutions will help you enhance your skills and gain a solid understanding of the subject. 
  • Students with patience and diligence can effortlessly grasp all subjects and achieve the highest possible grades in their tests. 
  • The NCERT solutions are very easy to access and you can download for free. 

 

Weightage For the First Term

Students should complete the higher-weightage subjects first before moving on to the lower-weightage units during their exam preparation. This allows students to focus on the most important topics while also building confidence in their ability to perform well in the annual exam.

It is recommended that students assess all of the concepts covered in the Class 9 Mathematics Syllabus and devise an appropriate study plan. 

Unit Name Marks
Number Systems 8
Algebra 5
Coordinate Geometry 4
Geometry 13
Mensuration 4
Statistics and Probability 6

 

Weightage For the Second Term

Unit Name Marks
Algebra 12
Geometry 15
Mensuration 9
Statistics and Probability 4

 

NCERT Solutions for Class 9 Mathematics | Chapter-wise Solutions

(Add chapters 1 to 15 in a sequence)

CBSE Class 9 Mathematics NCERT Solutions enable you to properly planning your exam study strategy and ensure that you grasp all Mathematical concepts prior to the final exam. Practice these solutions on a daily basis to strengthen the fundamental ideas of class 9 Mathematics. The links to these solutions are provided below.

Chapter 1 – Number Systems

Chapter 2 – Polynomials

Chapter 3 – Coordinate Geometry

Chapter 4 – Linear Equations in Two Variables

Chapter 5 – Introduction to Euclid’s 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

 

Download NCERT Solutions for Class 9 Mathematics 

Students can improve their theoretical skills and practical understanding by practising these NCERT Mathematics book class 9 solutions.   These Solutions will teach you how to approach problems and solve them efficiently using step-by-step methods. . As a student, you must constantly revise and practise all of the solutions. Begin by answering the questions in the NCERT book, and then cross check with  NCERT Solutions.

 

NCERT Solutions for CBSE Class 9 Mathematics Chapters and Exercises

If you are confused and anxious about any of the problems, you can use our subject expert guidance for  CBSE class 9 Mathematics NCERT solutions. They have meticulously prepared these solutions, concentrating on the types of errors students commonly make during exams. The Solutions for Class 9 Mathematics contain 15 chapters and are open to all students.

 

NCERT Solutions for Class 9 Mathematics Chapter 1 Number System

Students will learn about the notion of an irrational number, real numbers, and their decimal expansions. They will also learn about the procedures of real numbers on the number line, various types of operations on real numbers, and the laws of exponents for real numbers. There are 7 exercises in all; complete the activities and consult our book if you have any questions. The links to these exercises are given below.

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

Exercise 1.5

Exercise 1.6

 

NCERT Solutions for Class 9 Mathematics Chapter 2 Polynomials

Students will study about algebraic identities, one-variable polynomials, polynomial zeros, the remainder theorem, and polynomial factorization. You learned factorization of algebraic expressions in earlier classes; now apply those concepts and learn some new ones when solving polynomials. There are seven exercises in this chapter. Download links to various exercises have been shared for further practice.

Exercise 2.1

Exercise 2.2

Exercise 2.3

Exercise 2.4

Exercise 2.5

Exercise 2.6

Exercise 2.7

 

Class 9 Mathematics NCERT Solutions Chapter 3 Coordinate Geometry

In earlier classes, you examined the position of you can practice through the links given below.

point on a given line. Through this chapter, you will learn how to find a point that is not on that line. Students will learn about the Cartesian system and how to use coordinates to map a point in the plane. Make a graph with a point on it using the X and Y axes as a reference. There are three exercises and a summary in this chapter. 

Exercise 3.1

Exercise 3.2

Exercise 3.3

 

NCERT Solutions for Class 9 Mathematics Chapter 4 Linear Equations in Two Variables

You learned linear equations in one variable in earlier classes, and now it’s time to add another variable. In this chapter, students will learn what a linear equation is, how to solve linear equations, how to draw a graphical representation of a linear equation in two variables, and how to solve equations of lines parallel to the x- and y-axes.  There are four exercises in this chapter.  The links to these exercises are given below.

Exercise 4.1

Exercise 4.2

Exercise 4.3

Exercise 4.4

 

NCERT Solutions for Class 9 Mathematics Chapter 5 Introduction to Euclid’s Geometry

Students will study about Euclid’s definition, axioms, and postulates, as well as equivalent versions of Euclid’s fifth postulate. The theorem claims that two separate lines cannot have more than one common point. To better understand the chapter, complete the exercises and learn about Euclid’s postulates. Download the links below for further practice.

Exercise 5.1

Exercise 5.2

 

NCERT Solutions for Class 9 Mathematics Chapter 6 Lines and Angles

This chapter explains to students the fundamental terms and definitions of lines and angles. Intersecting and non-intersecting lines, transversal and parallel lines, lines parallel to the same line, pairs of angles, and the angle sum property of a triangle will all be covered.  This chapter has three exercises. 

Exercise 6.1

Exercise 6.2

Exercise 6.3

 

NCERT Solutions for Class 9 Mathematics Chapter 7 Triangles

Students will learn about the SSS, SAS, ASA, and RHS congruence criteria in this chapter. Students can get a thorough understanding of the properties of triangles such as sides opposite to equal angles being equivalent, the total of any two sides of a triangle being more than the third side, and so on. As a result of studying this chapter, students will be able to master the fundamental ideas of a triangle. Download the links below for further practice.

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4

Exercise 7.5

 

NCERT Solutions for Class 9 Mathematics Chapter 8 Quadrilaterals

Questions in Chapter 8 quadrilaterals teach students about the  various types of quadrilaterals, such as squares, rhombuses, rectangles, and parallelograms, as well as their properties. . Angle sum property of quadrilaterals, qualities of a parallelogram, square, and rhombus that depend on multiple factors such as diagonal length, side measure, and so on are all examined. The mid-point theorem is also included. Download the links below for further practice.

Exercise 8.1

Exercise 8.2

 

NCERT Solutions for Class 9 Mathematics Chapter 9 Areas of Parallelograms and Triangles

In this chapter, students will study figures with the same base and parallels, parallelograms with the same base and parallels, and triangles with the same base and parallels. Learn about trapeziums as well. This chapter has four exercises.

Exercise 9.1

Exercise 9.2

Exercise 9.3

Exercise 9.4

 

NCERT Solutions for Class 9 Mathematics Chapter 10 Circles

Students will learn about chord characteristics and how to determine the distance of equal chords from the centre. Other topics covered include angles subtended by an arc of the circle, cyclic quadrilaterals, and related properties. In Chapter 10, students will study about circles and the many terms related with it. You can practice through the links given below.

Exercise 10.1

Exercise 10.2

Exercise 10.3

Exercise 10.4

Exercise 10.5

Exercise 10.6

 

NCERT Solutions for Class 9 Mathematics Chapter 11 Constructions

Triangles have already been addressed in previous chapters. However, those were simply for you . Students will learn about the foundations of construction and experiment with triangle construction in this chapter. Learn how to use a compass, draw perpendicular lines, and measure angles with a protector. This chapter may appeal to you if you have a solid understanding of construction. Practice with the links given below.

Exercise 11.1

Exercise 11.2

 

NCERT Solutions for Class 9 Mathematics Chapter 12 Heron’s Formula

The Hero of Alexandria’s formula for calculating the area of a triangle when the lengths of all three sides are given.. Students will also learn how to compute the area of triangles and quadrilaterals in this chapter. Download the links below for further practice.

Exercise 12.1

Exercise 12.2

 

NCERT Solutions for Class 9 Mathematics Chapter 13 Surface Areas and Volumes

Surface areas and volumes in Chapter 13 introduce students to the ideas necessary to calculate total surface areas, lateral or curved surface areas, and volumes of various shapes.  The concepts and formulas of this chapter  are  crucial because they  serve as the foundation for topics  covered in higher classes. . Download the links below for further practice.

Exercise 13.1

Exercise 13.2

Exercise 13.3

Exercise 13.4

Exercise 13.5

Exercise 13.6

Exercise 13.7

Exercise 13.8

Exercise 13.9

 

NCERT Solutions for Class 9 Mathematics Chapter 14 Statistics

Statistics in Chapter 14 gives an in-depth analysis of problems based on the gathering and presentation of data for analytical purposes. Data representation in the form of frequency tables and drawing inferences from them are discussed. This chapter helps students improve their    Mathematical problem-solving skills and develops their spatial visualising abilities. Download the links below for further practice

Exercise 14.1

Exercise 14.2

Exercise 14.3

Exercise 14.4

 

NCERT Solutions Class 9 Mathematics Chapter 15 Probability

This chapter supports students in dealing with real-world challenges that necessitate the use of probability concepts. This chapter introduces students to empirical probability, the definition of an event, and how to compute the probability of various events. It explains how to calculate the probability of a heads or tails coin flip, by tossing a die and drawing inferences based on the outcome. Check the given link below.

Exercise 15.1

 

CBSE Class 9 Mathematics Unit-wise Marks Weightage

Weightage For the First Term

Unit Name Marks
Number Systems 8
Algebra 5
Coordinate Geometry 4
Geometry 13
Mensuration 4
Statistics and Probability 6
Total 40
Internal Assessment 10
Term I Total 50

 

Internal Assessment for Term I

Internal Assessment Marks
Periodic Tests 3
Multiple Assessments 2
Portfolio 2
Student Enrichment Activities- Practical Work 3
Total 10

 

Weightage For the Second Term

Unit Name Marks
Algebra 12
Geometry 15
Mensuration 9
Statistics and Probability 4
Total 40
Internal Assessment 10
Term II Total 50

 

Internal Assessment for Term II

Internal Assessment Marks
Periodic Tests 3
Multiple Assessments 2
Portfolio 2
Student Enrichment Activities- Practical Work 3
Total 10

 

FAQs (Frequently Asked Questions)
1. Is it necessary to take notes when referring to NCERT Solutions Class 9 Mathematics?

When students are trying to  get the hang of the  subject or rewriting a question, they can use notes as a  self help  guide. It is an effective method of remembering and recalling concepts when needed. As a result, it is important that students take note  of the NCERT solutions for class 9 Mathematics in order to speed up their learning process.

2. Can we solve problems using methods other than those listed in NCERT Solutions for Class 9 Mathematics?

The strategy described in the NCERT solutions for class 9 Mathematics is  widely recognised and accepted. Other methods may not be standardised processes and may not always produce reliable results. Therefore you cannot apply the strategies that are effective in handling competitive test questions.

3. What are the key topics in NCERT Solutions for Class 9 Mathematics?

All of the topics taught in the NCERT solutions for class 9 Mathematics, such as construction, circles, surface area, volume, statistics, and so on, are necessary for class 10. As a result, skipping a topic is not recommended. Furthermore, all issues within the realm of mathematics are interconnected, necessitating equal attention to all the topics.

4. What are the key chapters in CBSE Mathematics Class 9?

The following are some of the most important chapters in Class 9 Mathematics:

  • Polynomials
  • Circles
  • Surface Areas and Volume
  • Triangles
  • Areas of Parallelograms and Triangles
  • Quadrilaterals

5. Should I solve questions from the NCERT Solutions for Class 9 Mathematics on a daily basis?

Students are strongly encouraged to solve questions from the NCERT Solutions for Class 9 Mathematics on a  regular basis because mathematics is a subject that requires frequent practise. This will give them a lot of confidence when it comes to  cracking the term as well as  final examination.