NCERT Solutions for Class 6 Maths PDF Download

NCERT Solutions for Class 6 Maths

Here you will find all of the Chapters 1 through Chapter 14 NCERT Solutions for Class 6 Mathematical Exercises. Our knowledgeable faculty has selected these NCERT Solutions to aid students in their test preparation. In order to find a more effective way to approach the problems, students looking for the NCERT Solutions of Class 6 Maths can download all chapter-by-chapter PDFs.

The best study materials available to students are without a doubt the answers to the questions found in the NCERT books. Additionally, these CBSE NCERT Solutions for Class 6 Math 2022–23 will aid students in developing a deeper comprehension of the ideas provided in the NCERT textbook. Students will be able to assess their level of preparation and concept mastery by practising the textbook questions.
NCERT Solutions for Class  6 Mathematics

Chapter Wise NCERT Solutions for Class 6 Maths

Chapter Wise NCERT Solutions for Class 6 Maths is a comprehensive set of solutions designed to help students understand and master the concepts covered in the Class 6 Mathematics textbook. The solutions are prepared by subject matter experts and provide step-by-step solutions to all the questions in each chapter of the textbook.

• NCERT Solutions Chapter 1: Knowing Our Numbers
• NCERT Solutions Chapter 2: Whole Numbers
• NCERT Solutions Chapter 3: Playing with Numbers
• NCERT Solutions Chapter 4: Basic Geometrical Ideas
• NCERT Solutions Chapter 5: Understanding Elementary Shapes
• NCERT Solutions Chapter 6: Integers
• NCERT Solutions Chapter 7: Fractions
• NCERT Solutions Chapter 8: Decimals
• NCERT Solutions Chapter 9: Data Handling
• NCERT Solutions Chapter 10: Mensuration
• NCERT Solutions Chapter 11: Algebra
• NCERT Solutions Chapter 12: Ratio & Proportion
• NCERT Solutions Chapter 13: Symmetry
• NCERT Solutions Chapter 14: Practical Geometry

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

Students will study real numbers and irrational numbers in Chapter 1 of Class 6. The Euclid's Division Lemma asserts that "Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0rb," which is the first statement in the chapter. This lemma serves as the foundation for the Euclid's Division procedure, which determines the HCF of two positive integers. The Fundamental Theorem of Arithmetic, which is used to determine the LCM and HCF of two positive integers, is then defined. Following that, the theorem is used to describe the concepts of an irrational number, a rational number, and the decimal expansion of rational numbers.

Chapter 1 of the topics covered in class 6 Maths After examining past work and after illuminating and inspiring through examples, the Real Numbers: Fundamental Theorem of Arithmetic asserts, Evidence for the irrationality of 2, 3, and 5.

Class 6 Maths NCERT Solutions Chapter 1 Exercises

• Chapter 1: Knowing Our Numbers, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 1: Integers, at EduRev:

• NCERT Textbook Knowing Our Numbers Class 6 Maths 
• CBSE Chapter Notes Knowing Our Numbers Class 6Maths 
• NCERT Important Questions Knowing Our Numbers Class 6 Maths
• NCERT Exemplar Solutions Knowing Our Numbers Class 6 Maths 
• RD Sharma Solutions Knowing Our Numbers Class 6 Maths 

NCERT Solutions for Class 6 Maths Chapter 2 Fractions & Decimals

The definitions of the degree, linear, quadratic, and cubic polynomials are given at the beginning of the chapter on polynomials. There are a total of 4 exercises in this chapter, one of which is optional. Questions about calculating the number of zeros in a graph can be found in Exercise 2.1. Understanding the Geometrical Meaning of a Polynomial's Zeros is necessary. Students must locate the zeros of a quadratic polynomial in Exercise 2.2, which is based on the Relationship between Zeroes and Coefficients of a Polynomial. In some cases, they must also locate the quadratic polynomial. The division algorithm concept is defined in Exercise 2.3, where students can also find the questions that pertain to it. The questions in the optional exercise 2.4 are drawn from each of the Chapter 2 topics.

Topics Covered in Class 6 Maths Chapter 2 Whole Numbers:

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

Class 6 Maths NCERT Solutions Chapter 2 Exercises

• Chapter 2: Whole Numbers, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 7 Chapter 2 Whole Numbers, at EduRev:

• NCERT Textbook Whole Numbers Class 6 Maths 
• CBSE Chapter Notes Whole Numbers Class 6 Maths 
• NCERT Important Questions Whole Numbers Class 6 Maths 
• NCERT Exemplar Solutions Whole Numbers Class 6 Maths
• RD Sharma Solutions Whole Numbers Class 6 Maths

NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers

In this chapter, students will learn how to determine the distance between any two locations whose coordinates are given, as well as how to determine the area of any triangle consisting of three given points. They will also learn how to find the coordinates of the point that divides a given line segment between two points in a particular ratio. Students will learn about the Area of a Triangle, Section Formula, and Distance Formula in this chapter on coordinate geometry.

Topics Covered in Class 6 Maths Chapter 3 Playing with Numbers:
Review of linear equation graphs and coordinate geometry concepts. Distance calculation. Formula for Section (internal division).

Class 6 Maths NCERT Solutions Chapter 3 Exercises

• Chapter 3: Playing with Numbers- 1, Class 6 NCERT Solutions
• Chapter 3: Playing with Numbers- 2, Class 6 NCERT Solutions
• Chapter 3: Playing with Numbers- 3, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 3 Data Handling, at EduRev:

• NCERT Textbook Playing with Numbers Class 6 Maths 
• CBSE Chapter Notes Playing with Numbers Class 6 Maths 
• NCERT Important Questions Playing with Numbers Class 6 Maths 
• NCERT Exemplar Solutions Playing with Numbers Class 6 Maths
• RD Sharma Solutions Playing with Numbers Class 6 Maths 

NCERT Solutions of Class 6 Maths Chapter 4 Basic Geometrical Ideas

Practical Geometry is a concept that is explained in this chapter. There are a total of 7 tasks in this chapter, and they all involve solving a pair of linear equations using various strategies. How to represent a situation algebraically and graphically is explained in Exercise 3.1. Exercise 3.2 illustrates how to use the Graphical Method to solve the pair of linear equations. The Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method are each covered in Exercises 3.3, 3.4, 3.5, and 3.6, respectively. Activity 3.7, an optional exercise, with questions of every description. In order to acquire the technique for solving linear equations, students must practice these tasks.

Class 6 Maths NCERT Solutions Chapter 4 Exercises

• chapter 4: Basic Geometrical Ideas- 1, Class 6 NCERT Solutions
• Chapter 4: Basic Geometrical Ideas- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 7 Chapter 4 Simple Equations, at EduRev:

• NCERT Textbook Basic Geometrical Ideas Class 6 Maths 
• CBSE Chapter Notes Basic Geometrical Ideas Class 6 Maths 
• NCERT Important Questions Basic Geometrical Ideas Class 6 Maths 
• NCERT Exemplar Solutions Basic Geometrical Ideas Class 6 Maths
• RD Sharma Solutions Basic Geometrical Ideas Class 6 Maths

NCERT Solutions of Class 6 Maths Chapter 5 Understanding Elementary Shapes

• Chapter 5: Understanding Elementary Shapes (Ex: 5.4 to 5.6), Class 6 NCERT Solutions
• Chapter 5: Understanding Elementary Shapes (Ex: 5.1 to 5.3), Class 6 NCERT Solutions
• Chapter 5: Understanding Elementary Shapes (Ex: 5.7 to 5.9), Class 6 NCERT solutions

Also, access the following resources for NCERT Class 6 Chapter 5 Understanding Elementary Shapes, at EduRev:

• NCERT Textbook Understanding Elementary Shapes Class 6 Maths 
• CBSE Chapter Notes Understanding Elementary Shapes Class 6 Maths 
• NCERT Important Questions Understanding Elementary Shapes Class 6 Maths 
• NCERT Exemplar Solutions Understanding Elementary Shapes Class 6 Maths 
• RD Sharma Solutions Understanding Elementary Shapes Class 6 Maths

NCERT Solutions of Class 6 Maths Chapter 6 Integers

Class 6 Maths NCERT Solutions Chapter 6 Exercises

• Chapter 6: Integers, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 6 The Triangle & its Properties, at EduRev:

• NCERT Textbook Integers Class 6 Maths 
• CBSE Chapter Notes Integers Class 6 Maths 
• NCERT Important Questions Integers Class 6 Maths 
• NCERT Exemplar Solutions Integers Class 6 Maths 
• RD Sharma Solutions Integers Class 6 Maths

NCERT Solutions for Class 6 Maths Chapter 7 Fractions

The figures with the same shape but different sizes are covered in Chapter 7 of the Class 7 CBSE Math textbook. A comparable and congruent figure is the starting point of the chapter Triangles. It goes on to explain the prerequisites for the resemblance of two triangles as well as associated theorems. Following that, a theorem was used to explain how identical triangles' areas may be calculated. The Pythagoras Theorem and its Converse are discussed at the conclusion of this chapter.

Topics Covered in Class 6 Maths Chapter 7 Fractions:

Definitions, illustrations, and oppositional illustrations of related triangles.

1. (Prove) The other two sides of a triangle are divided in the same ratio if a line parallel to one side of a triangle intersects the other two sides in clearly defined points.
2. (Inspire) A line is parallel to the third side of a triangle if it divides the first two sides of the triangle in the same proportion.
3. (Inspire) If the corresponding sides of two triangles are proportionate, the corresponding angles are equal, and the triangles are similar.
4. (Inspire) Two triangles are comparable if their respective sides are proportionate, their corresponding angles are equal, and they have similar triangles.
5. (Inspire) Two triangles are comparable if one of their angles is equal to another triangle's angle and the sides that include these angles are proportionate.

 Class 6 Maths NCERT Solutions Chapter 7 Exercises

• Chapter 7: Fractions- 1, Class 6 NCERT Solutions
• Chapter 7: Fractions- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 7 Fractions, at EduRev:

• NCERT Textbook Fractions Class 6 Maths 
• CBSE Chapter Notes Fractions Class 6 Maths 
• NCERT Important Questions Fractions Class 6 Maths 
• NCERT Exemplar Solutions Fractions Class 6 Maths 
• RD Sharma Solutions Fractions Class 6 Maths 

NCERT Solutions of Class 6 Maths Chapter 8 Decimals

Class 6 Maths NCERT Solutions Chapter 8 Exercises

• Chapter 8: Decimals- 1, Class 6 NCERT Solutions
• Chapter 8: Decimals- 2, Class 6 NCERT Solutions
• Chapter 8: Decimals- 3, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 8 Decimals, at EduRev:

• NCERT Textbook Decimals Class 6 Maths 
• CBSE Chapter Notes Decimals Class 6 Maths 
• NCERT Important Questions Decimals Class 6 Maths 
• NCERT Exemplar Solutions Decimals Class 6 Maths 
• RD Sharma Solutions Decimals Class 6 Maths 

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

Students have learned about circles and other concepts associated with them, such as chord, segment, arc, etc., in prior classes. Students will learn about the various circumstances that can occur when a circle and a line are presented in a plane in this chapter. The concepts of Tangent to a Circle and Number of Tangents from a Point on a Circle will thus be fully understood by them.

Topics Covered in Class 6 Maths Chapter 9 Data Handling:
At the point of contact, tangent to a circle

1. Establish that the radius across the point of contact is perpendicular to the tangent at any point on a circle.
2. (Show) Tangents drawn from an outside point to a circle have identical lengths.

 Class 6 Maths NCERT Solutions Chapter 9 Exercises

• Chapter 9: Data Handling- 1, Class 6 NCERT Solutions
• Chapter 9: Data Handling- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 9 Data Handling at EduRev: 

• NCERT Textbook Data Handling Class 6 Maths 
• CBSE Chapter Notes Data Handling Class 6 Maths 
• NCERT Important Questions Data Handling Class 6 Maths 
• NCERT Exemplar Solutions Data Handling Class6 Maths 
• RD Sharma Solutions Data Handling Class 6 Maths 

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration

Students have learned about circles and other concepts associated with them, such as chord, segment, arc, etc., in prior classes. Students will learn about the various circumstances that can occur when a circle and a line are presented in a plane in this chapter. The concepts of Tangent to a Circle and Number of Tangents from a Point on a Circle will thus be fully understood by them.

Topics Covered in Class 6 Maths Chapter 10 Mensuration:
At the point of contact, tangent to a circle

1. Establish that the radius across the point of contact is perpendicular to the tangent at any point on a circle.
2. (Show) Tangents drawn from an outside point to a circle have identical lengths.

 Class 6 Maths NCERT Solutions Chapter 10 Exercises

• Chapter 10: Mensuration- 1, Class 6 NCERT Solutions
• Chapter 10: Mensuration- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 7 Chapter 10 Mensuration at EduRev: 

• NCERT Textbook Mensuration Class 6 Maths 
• CBSE Chapter Notes Mensuration Class 6 Maths 
• NCERT Important Questions Mensuration Class 6 Maths 
• NCERT Exemplar Solutions Mensuration Class 6 Maths 
• RD Sharma Solutions Mensuration Class 6 Maths 

NCERT Solutions for Class 6 Maths Chapter 11 Algebra

This chapter consists of a total of 2 exercises. Whatever students have learned about construction in earlier classes will also help them. In Exercise 11.1, students will study how to divide a line segment, whereas in Exercise 11.2, they will study the construction of tangents to a circle. Methods and steps for construction are explained, and also some examples are additionally given to make it clearer to the students.

Topics Covered in Class 6 Maths Chapter 11 Algebra:

1. Division of a line segment in a given ratio (internally).
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.

 Class 6 Maths NCERT Solutions Chapter 11 Exercises

• Chapter 11: Algebra- 1, Class 6 NCERT Solutions
• Chapter 11: Algebra- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 11 Algebra, at EduRev:

• NCERT Textbook Algebra Class 6 Maths 
• CBSE Chapter Notes Algebra Class 6 Maths 
• NCERT Important Questions Algebra Class 6 Maths 
• NCERT Exemplar Solutions Algebra Class 6 Maths 
• RD Sharma Solutions Algebra Class 6 Maths

NCERT Solutions for Class 6 Maths Chapter 12 Ratio & Proportion

Class 6 Maths NCERT Solutions Chapter 12 Exercises

• Chapter 12: Ratio & Proportion- 1, Class 6 NCERT Solutions
• Chapter 12: Ratio & Proportion- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 12 Ratio & Proportion, at EduRev:

• NCERT Textbook Ratio & Proportion Class 6 Maths 
• CBSE Chapter Notes Ratio & Proportion Class 6 Maths 
• NCERT Important Questions Ratio & Proportion Class 6 Maths 
• NCERT Exemplar Solutions Ratio & Proportion Class 6 Maths 
• RD Sharma Solutions Ratio & Proportion Class 6 Maths 

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry

In Chapter 13, there are a total of 5 exercises. The first exercise consists of questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e. cuboid, cone, cylinder, sphere and hemisphere. In exercise 13.2, questions are based on finding the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere. Exercise 13.3 deals with the questions in which a solid is converted from one shape to another. Exercise 13.4 is based on finding the volume, curved surface area and total surface area of a frustum of a cone. The last exercise is optional and has high-level questions based on all the topics of this chapter.

Topics Covered in Class 6 Maths Chapter 13 Symmetry:
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

Class 6 Maths NCERT Solutions Chapter 13 Exercises

• Chapter 13: Symmetry, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 13 Symmetry, at EduRev: 

• NCERT Textbook Symmetry Class 6 Maths 
• CBSE Chapter Notes Symmetry Class 6 Maths 
• NCERT Important Questions Symmetry Class 6 Maths 
• NCERT Exemplar Solutions Symmetry Class 6 Maths 
• RD Sharma Solutions Symmetry Class 6 Maths 

NCERT Solutions for Class 6 Maths Chapter 14  Practical Geometry

Students will learn how to find the Mean, Mode, and Median and how to numerically depict ungrouped and grouped data. Additionally, the definition of cumulative frequency, its distribution, and how to create its curves will be covered.

Topics Covered in Class 6 Maths Chapter 14 Practical Geometry:
Mean, median and mode of grouped data (bimodal situation to be avoided).

Class 6 Maths NCERT Solutions Chapter 14 Exercises

• Chapter 14: Practical Geometry- 1, Class 6 NCERT Solutions
• Chapter 14: Practical Geometry- 2, Class 6 NCERT Solutions

Also, access the following resources for NCERT Class 6 Chapter 14 Practical Geometry, at EduRev: 

• NCERT Textbook Practical Geometry Class 6 Maths 
• CBSE Chapter Notes Practical Geometry Class 6 Maths 
• NCERT Important Questions Practical Geometry Class 6 Maths 
• NCERT Exemplar Solutions Practical Geometry Class 6 Maths 
• RD Sharma Solutions Practical Geometry Class 6 Maths

How are CBSE Class 6 Maths Solutions of NCERT Helpful for the Exams?

CBSE Class 6 Maths is an important subject for students. Here, we have provided complete assistance to students for their preparation. Class 6 is the first benchmark for any student that will reflect in the future records of achievement. CBSE always prescribes the NCERT books for exam preparation.

Exam preparation is a demanding procedure that necessitates a comprehensive comprehension of each chapter. This technique necessitates diligent study efforts and a strategic method for working through the solutions. NCERT6 Class Maths Solutions play a significant part in preparing students for competitive entrance exams. NCERT books are renowned for presenting the concepts in a straightforward manner for easier understanding. The Maths textbooks for Class 6 from NCERT are written in a way that makes complicated problems easy to understand and break down.

Keep visiting to get complete chapter-wise NCERT Solutions for Class 6  for all the classes. Students can also find the NCERT Solutions for Class 6 Science, Social Science, English, Hindi and Sanskrit at EduRev. Students can download EduRev App to get a personalized learning experience and prepare for the exams more effectively.

Importance of NCERT Solutions for Class 6 Maths

NCERT Solutions for Class 6 Maths are important for several reasons. Here are some of them:

• Follows the NCERT syllabus: NCERT Solutions for Class 6 Maths follow the syllabus prescribed by the National Council of Educational Research and Training (NCERT). As NCERT is the official body responsible for the development of curriculum and textbooks in India, following their syllabus ensures that students cover all the essential topics.
• Provides comprehensive answers: NCERT Solutions for Class 6 Maths provide comprehensive answers to all the questions given in the NCERT textbooks. The solutions are written in a clear and concise manner, making it easy for students to understand the concepts.
• Helps in exam preparation: NCERT Solutions for Class 6 Maths can help students in their exam preparation by providing them with practice questions and answers. This can help students to get a better understanding of the type of questions that can be asked in the exams.
• Improves problem-solving skills: NCERT Solutions for Class 6 Maths can help students improve their problem-solving skills by showing them the right approach to solve a problem. By practicing the solutions given in the NCERT Solutions for Class 6 Maths, students can learn how to apply the concepts they have learned in different situations.
• Enhances understanding: NCERT Solutions for Class 6 Maths can enhance the understanding of students by providing them with detailed explanations and examples. The solutions can help students to clear their doubts and to understand the concepts better.
• Helps in self-assessment: NCERT Solutions for Class 6 can help students in self-assessment. After solving the questions given in the NCERT textbooks, students can cross-check their answers with the solutions provided in the NCERT Solutions for Class 6 Maths.

In conclusion, NCERT Solutions for Class 6 Maths are important as they provide comprehensive answers to all the questions given in the NCERT textbooks. They can help students to improve their problem-solving skills, enhance their understanding of the concepts, and help in their exam preparation.

Benefits of EduRev’s NCERT Maths Solutions for Class 6

The Class 6 NCERT Solutions of Maths given here have several benefits, which include:

• The solutions given here are very easy-to-understand.
• Solutions are provided in steps for better understanding.
• Diagrams are given to help the students to visualize the solutions.
• All the questions from each chapter are covered.

It is advised that students prepare all of the chapters covered in the solution modules because doing so will allow them to understand concepts more thoroughly. The steps offered in the solutions must be understood by the students in order to make good preparations.

Important Related Links for CBSE Class 6 Maths

• NCERT Books for Class 6 Maths
• Class 6 Maths Notes
• NCERT based video lessons for Class  6 Maths
• Extra Questions for Class 6 Maths
• MCQ Questions for Class 6 Maths with Answers
• Important Questions for CBSE Class 6 Maths
• CBSE Sample Paper for Class 6 Maths
• NCERT Exemplar Class 6 Maths Solutions

Students can also access NCERT Solutions of all subjects of Class 6:

• NCERT Solutions for Class 6 Science
• NCERT Solutions for Class 6 English
• NCERT Solutions for Class 6 Social Science 
• NCERT Solutions for Class 6 Hindi 
• NCERT Solutions for Class 6 Sanskrit

Frequently Asked Questions(FAQs) on NCERT Solutions for Class 6 Maths

How to grasp the important concepts covered in the NCERT Solutions for Class 6 Maths?

Students who aspire to score good marks in the Class 8 exams are advised to study the NCERT Solutions from the EduRev App. The solutions are curated with utmost care by a set of faculty having vast experience in the respective subject. Each and every minute detail is explained in an interactive manner to make it easier for the students while learning. The step-wise solutions are designed by keeping in mind the marks weightage allotted as per the CBSE guidelines.

Will the NCERT Solutions for Class 6 Maths help me to solve problems easily?

The Class 6 exam is one of the major turning points in the life of students. Maths is a subject which mainly contains numericals, and understanding of concepts helps to score more marks. Students are recommended to first understand the syllabus for the academic year and learn the concepts based on them for better performance. Solving the textbook problems by referring to the solutions will improve the logical thinking and analytical skills among students.

Where will I get the NCERT Solutions for Class 6 Maths?

Students can get the NCERT Solutions for Class 6 Maths at the EduRev App. The solutions are prepared by the subject matter experts keeping in mind the understanding capacity of students. The main objective of creating solutions is to help students learn complex concepts without any difficulty. Students can also cross-check their answers while solving the textbook problems to get an idea about the other methods of answering the questions efficiently.

How to get an idea about the important concepts in the NCERT Solutions for Class 6 Maths?

Before the start of an academic year, students should download the CBSE syllabus and go through it for a clear idea about the concepts which are important for the exams. Students must solve the NCERT Textbook problems by choosing the correct study material which satisfies their needs. Practising the problems on a regular basis by referring to the NCERT Solutions for Class 6 Maths improves the problem-solving abilities of students.