# NCERT Solutions for Class 6 Maths

Format is made totally according to class 6th student. Students must see the chapters of Vedic Maths to improve their calculation.

Before assigning the holiday homework, teachers are advised to see the section Alternative to Holiday Homework, issued by CBSE.

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## NCERT Solutions for Class 6 Maths 2021-2022

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

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 Class 6 Mathematics Medium Hindi and English Medium

### NCERT Solutions for Class 6 Maths 2021-22

NCERT Solutions for Class 6 Maths is available on this webpage updated for academic session 2021-22. These Solutions are based on new NCERT Books and following the latest CBSE Syllabus 2021-22. Download Class 6 Maths Offline App which work without internet once downloaded. It is free to use and available on Play Store.

### NCERT Solutions Class 6 Maths & Main Points of All Chapters

#### Chapter 1: Knowing Our Numbers

Class 6 Maths Chapter 1 Solutions includes Exercise 1.1, which is based on comparing numbers. Concepts of ascending and descending order, shifting the digits, using place value, face value and dealing with a large number of 6 or 7 digits. We should use commas in Indian or International system very carefully.
Class 6 Maths Exercise 1.2 contains sums related to the word problem. 6th Maths Exercise 1.3 is based on an estimation of sum, product, difference or quotient using rounding off a number. The basic knowledge of Roman numbering and use of brackets is also given at the end of chapter 1 of Class 6 Mathematics.

Class 6 Maths Chapter 1 Exercise 1.1 Solution
Class 6 Maths Chapter 1 Exercise 1.2 Solution

#### Chapter 2: Whole Numbers

Class 6 Maths Chapter 2 starts with the concepts of successor and predecessor. Class 6 Maths Exercise 2.1 describes the addition and subtraction of integers using Number Line.
Closure property, commutative of addition and multiplication and some examples of associative property of addition and multiplication are in Exercise 2.2 of Class 6 Maths. This exercise also deals with Identity for addition and multiplication. In 6th Maths Exercise 2.3, the pattern identification of whole numbers is the main topic.

Class 6 Maths Chapter 2 Exercise 2.1 Solution
Class 6 Maths Chapter 2 Exercise 2.2 Solution

#### Chapter 3: Playing with Numbers

Class 6 Maths Chapter 3 provides the practice of obtaining factors and multiplication of a number. In Exercise 3.1, there are lots of questions for finding factors or multiples.
Exercise 3.2 of grade 6 Maths, describes Prime and Composite numbers as well as Even and Odd numbers. Test of divisibility by 2, 3, 5, 7, 9 and 11 are given in Exercise 3.3 of standard 6 Maths.
In Class 6 Exercise 3.4, we will learn to find common factors and multiples of given integers. In Exercise 3.5, the questions based on prime factorisation are given. 6th Maths Exercise 3.6 is based on HCF (Highest Common Factor), and Exercise 3.7 is designed for LCM (Least Common Multiple).

Class 6 Maths Chapter 3 Exercise 3.1 Solution
Class 6 Maths Chapter 3 Exercise 3.2 Solution

#### Chapter 4: Basic Geometrical Ideas

Class 6 Maths Chapter 4 starts with the concept of a Point, Line Segment, a Line, a Ray, Intersecting and Parallel line. These are the basic terms to know before doing Chapter 4 of Grade 6 Maths.
All the questions of Exercise 4.1 of Class 6 Maths are based on facts as mentioned above. In the next section, Exercise 4.2, we will deal with Simple Curves (Open and Closed Curves), Polygons, Sides, Vertices and Diagonals of a Polygon.
Exercise 4.3 is based on Angles and its components, whereas Exercise 4.4 of Class VI is describing Triangles. Similarly, we have to discuss quadrilateral in Exercise 4.5 and Circles in Exercise 4.6 of Class 6 Mathematics.

Class 6 Maths Chapter 4 Exercise 4.1 Solution
Class 6 Maths Chapter 4 Exercise 4.2 Solution

#### Chapter 5: Understanding Elementary Shapes

Class 6 Maths Chapter 5 describes the measuring Line Segments using Ruler and Divider. In Exercise 5.1, we have to measure the given line segments. In Exercise 5.2 of Class 6 Maths, we have to observe and identify the angles like Right angle, Straight angle or Complete angle.
Later on in Exercise 5.3 of 6th Maths, Acute angle, Obtuse angle, and Reflex angles to be discussed. Measuring the angles in Degree, using Protector is done in Exercise 5.4 of Class 6.
We will learn the concepts of perpendicular lines or perpendicular bisectors in Exercise 5.5 of Class 6 Mathematics.
Similarly, the classification of Triangles is given in Ex. 5.6 and that of quadrilaterals in Ex. 5.7 of Class 6 Maths. The identification, name and other properties of 3 – D figure is in the next exercises.

Class 6 Maths Chapter 5 Exercise 5.1 Solution
Class 6 Maths Chapter 5 Exercise 5.2 Solution

#### Chapter 6: Integers

Class 6 Maths Chapter 6 focusses on Integers. The main focus is on Integers on Number Line and Ordering of Integers using signs. Exercise 6.1 includes the basic question based on properties of Integers. Class 6 Maths Exercise 6.2 focuses on the addition of Integers on Number Line. Similarly, Exercise 6.3 has a main focus on subtraction of Integers on Number Line.

Class 6 Maths Chapter 6 Exercise 6.1 Solution
Class 6 Maths Chapter 6 Exercise 6.2 Solution

#### Chapter 7: Fractions

Class 6 Maths Chapter 7 Exercise 7.1 describes the Fractions through pictorial representation and some other basic word problems. Class 6 Maths Exercise 7.2 deals with Proper Fraction, Improper Fraction, Mixed Fraction and Fraction on Number Line. Equivalent Fractions, the simple form of a Fraction removing common factors from Numerator and Denominator are the main points in Exercise 7.3 of Maths for Class 6.
We will discuss Like and Unlike Fractions and Comparison of two or more Fractions in Exercise 7.4 of 6th Mathematics. Addition and Subtraction of Fractions are the main practice in Exercise 7.5 as well as Exercise 7.6 of Class 6 Maths.

Class 6 Maths Chapter 7 Exercise 7.1 Solution
Class 6 Maths Chapter 7 Exercise 7.2 Solution

#### Chapter 8: Decimals

Class 6 Maths Chapter 8 explains the Decimal numbers like Tenths, Hundredths and its representation on Number Line. Conversion of Fraction as Decimals is the main discussion in Exercise 8.1 of Class 6 Maths. Terms related to Hundredths and Thousandths are given in Exercise 8.2 and the comparison of decimals in Exercise 8.3 of 6th Grade Maths. The application of Decimals representing Money, Weight, Length, etc., are given in Exercise 8.4 of Chapter 8, Class 6 Maths.
The main focus of Exercise 8.5 is the addition of numbers with Decimals and Exercise 8.6 is based on subtraction of Decimals.

Class 6 Maths Chapter 8 Exercise 8.1 Solution
Class 6 Maths Chapter 8 Exercise 8.2 Solution

#### Chapter 9: Data Handling

Class 6 Maths Chapter 9 Data Handling Exercise 9.1 describes about Pictographs using Tally Marks, whereas Exercise 9.2 explains how to draw a Pictograph. The Bar Graphs or Bar Diagrams are given in Exercise 9.3 and Exercise 9.4 of Class 6, which are also important for further classes. Data Handling is segment of Statistics, which is one of the important topics to score well in all the classes.

Class 6 Maths Chapter 9 Exercise 9.1 Solution
Class 6 Maths Chapter 9 Exercise 9.2 Solution

#### Chapter 10: Mensuration

Class 6 Maths Chapter 10 Mensuration understands based concepts. Chapter 10 of Class 6 Maths, which is common in all the next classes. So, if we do this chapter properly here, we will never face any problem to understand the questions related to Mensuration in future.
Class 6 Maths Chapter 10 Exercise 10.1 is based on the perimeter of plane figures, whereas Exercise 10.2 is focusing on Areas of Plane figures. In Exercise 10.3, we can find the areas of plane figures using a suitable formula.

Class 6 Maths Chapter 10 Exercise 10.1 Solution
Class 6 Maths Chapter 10 Exercise 10.2 Solution

#### Chapter 11: Algebra

Class 6 Maths Chapter 11 deals with topic Algebra which is one of the three branches of Mathematics Geometry, Arithmetic and Algebra. Exercise 11.1 illustrates the concepts of Algebra using Matchsticks as well as using some word problems. Exercise 11.2 of Class 6 Maths states the use of variables on some geometrical figures.
In Exercise 11.3 of 6th Maths, we will learn to express statements into an expression of variables and in Exercise 11.4, implement these expressions in day to day life applications. Exercise 11.5 explains the formation of equations in one variable and their solutions.

Class 6 Maths Chapter 11 Exercise 11.1 Solution
Class 6 Maths Chapter 11 Exercise 11.2 Solution

#### Chapter 12: Ratio and Proportion

Class 6 Maths Chapter 12 Exercise 12.1 provides a good practice of Ratios. Most questions are related to daily life only. In Exercise 12.2, Ratios extent to Proportions. Now using two Ratios, we deal with the concept of Proportions. Unitary Methods are useful for day to day life calculations. Exercise 12.3 of Class 6 Maths explains Unitary Method in a better way to understand.

Class 6 Maths Chapter 12 Exercise 12.1 Solution
Class 6 Maths Chapter 12 Exercise 12.2 Solution

#### Chapter 13: Symmetry

Class 6 Maths Chapter 13 Exercise 13.1 is following the questions based on Symmetry took examples from daily life. In a figure, there may be more than one line of Symmetry. In Exercise 13.2, we have to find the number of line of symmetric to a figure can have. Exercise 13.3 contains the questions based on Reflection and Symmetry of various geometrical figures and English Alphabets.

Class 6 Maths Chapter 13 Exercise 13.1 Solution
Class 6 Maths Chapter 13 Exercise 13.2 Solution

#### Chapter 14: Practical Geometry

Class 6 Maths Chapter 14 deals with the constructions of geometrical figures using Ruler and Compass only. In Exercise 14.1 of Class 6 Maths, we will draw circles with a given radius whereas in Exercise 14.2 and Exercise 14.3 is based on drawing and copying Line Segments.
In Exercise 14.4, we will learn about drawing a perpendicular to a Line Segment using Ruler and Compass. In contrast, the Exercise 14.5 of Class 6 Maths deals with the perpendicular bisectors of a given Line Segment. In Exercise 14.6, we will learn to draw angles of given measure and some known angles like 30, 60, 60, 120 degrees. Drawing angles will be done in the next classes also. So, a better understanding of this chapter with help the students in the next classes also.

Class 6 Maths Chapter 14 Exercise 14.1 Solution
Class 6 Maths Chapter 14 Exercise 14.2 Solution

### Suggestions and Feedback

NCERT Solutions for Class 6 Maths Hindi Medium is now available for the academic session 2021-22 along with videos. It is now done so that students can take benefits of these CBSE NCERT Solutions in Hindi also. We have made changes on this page as per the suggestions received from students as well as parents so far. For any further suggestion, you are welcome. Your suggestions are actually the strength of this website. Download Class 6 all Subjects Solutions App which work offline without internet.

#### Offline & Online Solutions for Class 6

All the contents are now available in both the mode: Online as well as Offline. If you want use it without downloading, go for online digital contents otherwise for offline use, download it as PDF format and use as offline digital contents.

### Important Questions for Class 6 Maths

##### Insert commas suitable and write the names according to Indian system of numeration: 87595762.

8,75,95,762 Eight crore seventy-five lakh ninety-five thousand seven hundred sixty-two.

##### Write four negative integers greater than –20.

–19, –18, –17, –16

##### Rashid spent ₹35.75 for Maths book and ₹32.60 for Science book. Find the total amount spent by Rashid.

Money spent for Maths book = ₹35.75 Money spent for Science book = ₹32.60 Total money spent = ₹35.75 + ₹32.60 = ₹68.35 Therefore, total money spent by Rashid is ₹68.35.

##### A table-top measures 2 m by 1 m 50 cm. What is its area in square meters?

Length of table = 2 m Breadth of table = 1 m 50 cm = 1.50 m Area of table = length x breadth = 2 m x 1.50 m = 3 m^2

##### What is a line of symmetry?

A figure has line symmetry if a line can be drawn dividing the figure into two identical parts. The line is called a line of symmetry.

##### What is a ruler?

A ruler ideally has no markings on it. However, the ruler in our instruments box is graduated into centimetres along one edge. It is use to draw line segments an to measure their lengths.

Solutions of important questions from other books and assignments will be uploaded time to time. 6th Maths NCERT solutions ( & Science Solutions and all other Subjects Solutions) are made as such no student face any difficulty to understand the solutions, if still any problem to understand the description of any question, please post us through Discussion FORUM section, we will try to solve as soon as possible. Download 6 Maths App which work offline without internet.

##### How to score 90% or more marks in Class 6 Maths Exams?

If a student of class 6 wish to score more than 90% marks in mathematics, he has to complete the NCERT first. Do all the examples and questions given in exercises. After going through NCERT Textbook for class 6 Maths, start working on NCERT Exemplar book now. It has questions which increase the mental level to think higher than ever for Maths concepts. Regular practice of these two book’s help the students to score more than 90% marks in Class 6 Maths.

##### Which chapter of Class 6 Maths considered as most difficult to understand?

There are total 14 chapters in Class 6 Maths. Out of these, chapter 10 Mensuration and chapter 12 Ratio and Proportion need more time to understand and practice too. There are many questions which need practice twice or thrice to understand properly. Therefore, these two chapters are considered as difficult chapters of Class 6 Maths NCERT Book.

##### How to practice Class 6 Maths to pass in less efforts?

Most of the questions asked in exams are picked up from NCERT Textbooks only. If a student spend at least one hour time to practice Class 6 Maths NCERT books, he can easily score more than passing marks. Examples, given just before each exercises, are also important for the examination point of view. These examples are also helpful during the exercise practice to understand the way of solving different questions.

##### Which chapters of Class 6 Maths are easy to practice for exams?

Out of 14 chapters of 6th Maths, chapter 1, 2, 3, 5, 9, 13 and 14 are easier to practice and score good marks in exams. These are not only easy chapters but interesting also. These chapters require less time to practice but good to score marks in exams. During the exams, students should solve the questions of these chapter first then go for the difficult chapters.