# NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers

**NCERT Solutions For Class 6 Maths Chapter 3 Playing with Numbers**

**NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers** help students who want to get good grades on exams. The experts at **Utopper **made these solutions to help students feel more confident by helping them understand the ideas in this chapter. The **NCERT Solutions for Class 6** show how to quickly and easily solve the problems in the textbook. These materials are made based on the **NCERT curriculum for Class 6** and the kinds of questions asked in the **NCERT textbook**.

As the chapter goes on, students learn about things like common factors and multiples, rules for dividing, highest common factors, lowest common factors, and so on. If students understand the chapter well, they will be able to tell the difference between prime numbers and other numbers.

The **NCERT Solutions for Class 6 Maths** is a vital resource for Class 6 students. The CBSE 6th grade mathematics textbook solutions include answers to all questions with the exception of those that are no longer on the syllabus. **Class 6 Maths Ncert Solutions** have been provided by the most knowledgeable teachers. When solving the questions and creating the **NCERT solutions for class 6 mathematics**, a very straightforward method was used.

Students will find it very simple to comprehend the problems and how to solve them. On **Utopper.com**, you can also practise **Important Questions for Class 6 Maths**. In addition to knowing the topics, pupils must prepare appropriately for their **Class 6 CBSE examinations**. Utopper has provided them with **NCERT solutions** to aid in their study.

**Class 6 Ncert Solutions for Maths Chapter 3 – Download Free PDFs**

The **NCERT Solutions for Class 6 Maths Chapter 3: Playing with Numbers** were made by maths teachers with a lot of experience for 6th-grade students. It explains every idea in all of the chapters by asking and answering a lot of good questions. It helps the students understand slowly and practise a lot so they can get good at what they are doing and get a good score on their tests. You can use the free **NCERT Books** Solutions to learn more about how to answer all the questions in the exercises.

**Ncert Solutions Class 6 Maths Chapter 3 Exercise:**

- Playing with Numbers Class 6 Ex 3.1
- Playing with Numbers Class 6 Ex 3.2
- Playing with Numbers Class 6 Ex 3.3
- Playing with Numbers Class 6 Ex 3.4
- Playing with Numbers Class 6 Ex 3.5
- Playing with Numbers Class 6 Ex 3.6
- Playing with Numbers Class 6 Ex 3.7

**NCERT Solutions for Class 6 Maths Chapterwise PDF**

When it comes to examination preparation, students frequently need assistance. Therefore, they must ensure that they are practising increasingly. Herein lies the utility of the NCERT solutions for CBSE Class 6 Mathematics.

**Ncert Solutions For Class 6 Maths All Chapters**

The following are chapter-specific **NCERT Solutions for Class 6 Math**. Mathematical specialists from Utopper provide these solutions in depth. Examine these chapter-by-chapter solutions to properly understand the ideas.

If you click on the name of the chapter whose solutions you wish to view, you will be taken to the page for that chapter. Then, you can review the detailed, step-by-step CBSE 6th grade mathematics questions and answers for every single question in that chapter.

In class 6, you must learn **14 chapters** of mathematics. The following are notable chapters and their respective subjects:

**NCERT Solutions for Class 6 Maths Chapter-wise Links :**

- Chapter 1 Knowing Our Numbers
- Chapter 2 Whole Numbers
- Chapter 3 Playing With Numbers
- Chapter 4 Basic Geometrical Ideas
- Chapter 5 Understanding Elementary Shape
- 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

**Some Important Topics Present in the NCERT Class 6 Maths Solutions**

**Ncert Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers: **This is the very first chapter in your Class 6 Mathematics syllabus. This chapter has 5 exercises. The first important topic in this chapter is comparing numbers; you must learn to estimate numbers using the rounding-off approach and estimates.

**NCERT Solutions for Class 6 Maths Chapter 1 Exercises are given in the table below:**

- Class 6 Maths Knowing our Numbers Exercise 1.1
- Class 6 Maths Knowing our Numbers Exercise 1.2
- Class 6 Maths Knowing our Numbers Exercise 1.3

**Ncert Solutions for Class 6 Maths Chapter 2 Whole numbers:** This is the second chapter and you will learn the fundamentals of the whole numbers. Five exercises are included in this chapter. The initial subject is natural numbers. In this lesson, you will study natural numbers and their properties, as well as how to express natural numbers on a number line. Be thorough with all the qualities, including associative, closure, and distributive, among others.

**NCERT Solutions for Class 6 Maths Chapter 2 Exercises are given in the table below:**

- Class 6 Maths Whole Numbers Exercise 2.1
- Class 6 Maths Whole Numbers Exercise 2.2
- Class 6 Maths Whole Numbers Exercise 2.3

**Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers: **This is the third chapter and there are 10 exercises. This chapter is relatively longer than the others, but you can master it with sufficient study and practice. This chapter’s first activity is on factors and multiples; in this exercise, you will study factors and multiples. You must also study their distinctions and practice a few relevant examples. This practice is fairly simple and will just about a quarter-hour to finish.

**NCERT Solutions for Class 6 Maths Chapter 3 Exercises are given in the table below:**

- Playing with Numbers Class 6 Ex 3.1
- Playing with Numbers Class 6 Ex 3.2
- Playing with Numbers Class 6 Ex 3.3
- Playing with Numbers Class 6 Ex 3.4
- Playing with Numbers Class 6 Ex 3.5
- Playing with Numbers Class 6 Ex 3.6
- Playing with Numbers Class 6 Ex 3.7

**Ncert Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas: **This is the 4th chapter and there are 13 exercises. The essential task in this chapter is a line segment. This chapter is rather straightforward and brief, and you must learn about line segments and rays. Learn their definitions and examine a few instances. Learn the distinction between a line and a line segment as well. Practice segmenting line segments. Solve the exercises and practice the examples provided.

**NCERT Solutions for Class 6 Maths Chapter 4 Exercises are given in the table below:**

- Class 6 Maths Basic Geometrical Ideas Exercise 4.1
- Class 6 Maths Basic Geometrical Ideas Exercise 4.2
- Class 6 Maths Basic Geometrical Ideas Exercise 4.3
- Class 6 Maths Basic Geometrical Ideas Exercise 4.4
- Class 6 Maths Basic Geometrical Ideas Exercise 4.5
- Class 6 Maths Basic Geometrical Ideas Exercise 4.6

**Ncert Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes:** This is the 5th chapter and there are 10 exercises. In this chapter, measuring line segments is a crucial activity, and you must become familiar with their sign. Learn the formula for line segment and practice with examples.

**NCERT Solutions for Class 6 Maths Chapter 5 Exercises are given in the table below:**

- Understanding Elementary Shapes Class 6 Ex 5.1
- Understanding Elementary Shapes Class 6 Ex 5.2
- Understanding Elementary Shapes Class 6 Ex 5.3
- Understanding Elementary Shapes Class 6 Ex 5.4
- Understanding Elementary Shapes Class 6 Ex 5.5
- Understanding Elementary Shapes Class 6 Ex 5.6
- Understanding Elementary Shapes Class 6 Ex 5.7
- Understanding Elementary Shapes Class 6 Ex 5.8
- Understanding Elementary Shapes Class 6 Ex 5.9

**Ncert Solutions for Class 6 Maths Chapter 6 Integers:** In this chapter, you have to learn about integers and how to add and subtract them. Additionally, you must learn their multiplication and division. Discover the properties of positive and negative integers, as well as how to express them on a number line. Solve all the examples and exercise problems. Utilize the NCERT solutions for extra instances and questions.

**NCERT Solutions for Class 6 Maths Chapter 6 Exercises are given in the table below:**

- Integers Class 6 Ex 6.1
- Integers Class 6 Ex 6.2
- Integers Class 6 Ex 6.3

**Ncert Solutions for Class 6 Maths Chapter 7 Fractions: **This chapter is also important and there are 10 exercises. In this chapter, you will study fractions, including their types, properties, and rules. You must master the addition and subtraction of fractions, as well as their division and multiplication. Learn about proper fractions, mixed fractions, fractions with like denominators, etc., and solve examples for each. Use the NCERT answer manual for further assistance and to ensure thorough preparation.

**NCERT Solutions for Class 6 Maths Chapter 7 Exercises are given in the table below:**

- Class 6 Chapter 7 Fractions Ex 7.1
- Class 6 Chapter 7 Fractions Ex 7.2
- Class 6 Chapter 7 Fractions Ex 7.3
- Class 6 Chapter 7 Fractions Ex 7.4
- Class 6 Chapter 7 Fractions Ex 7.5
- Class 6 Chapter 7 Fractions Ex 7.6

**Ncert Solutions for Class 6 Maths Chapter 8 Decimals:** This is the 8th chapter and there are 7 exercises. In this chapter, you will learn how to compare decimal numbers. Examine the provided examples and practice questions. Comprehend how to utilize decimals by completing the associated practice problems. Additionally, you must master the addition and subtraction of decimals. Complete the chapter’s exercises and take careful notes.

**NCERT Solutions for Class 6 Maths Chapter 8 Exercises are given in the table below:**

- Class 6 Maths Decimals Exercise 8.1
- Class 6 Maths Decimals Exercise 8.2
- Class 6 Maths Decimals Exercise 8.3
- Class 6 Maths Decimals Exercise 8.4
- Class 6 Maths Decimals Exercise 8.5
- Class 6 Maths Decimals Exercise 8.6

**Ncert Solutions for Class 6 Maths Chapter 9 Data Handling:** This is the 9th chapter and there are 7 exercises. Learn how to collect and organize information. Master the art of drawing pictographs and bar graphs. Solve the provided examples and exercises. This is the tenth chapter and it is really brief. Two exercises are presented. You must study area and perimeter, as well as their formulas and applications.

**NCERT Solutions for Class 6 Maths Chapter 9 Exercises are given in the table below:**

- Class 6 Maths Data Handling Exercise 9.1
- Class 6 Maths Data Handling Exercise 9.2
- Class 6 Maths Data Handling Exercise 9.3
- Class 6 Maths Data Handling Exercise 9.4

**Ncert Solutions for Class 6 Maths Chapter 10 Mensuration:** In the 10th chapter of Class 6’s Mensuration, students study the area and volume measurements of shapes and figures. Introduction to perimeter measurement, perimeter of a rectangle, perimeter of regular shapes, introduction to area measurement, area of a rectangle, and area of a square are the fundamental topics covered in this section. This chapter contains three exercises in total.

**NCERT Solutions for Class 6 Maths Chapter 10 Exercises are given in the table below:**

- Class 6 Maths Mensuration Exercise 10.1
- Class 6 Maths Mensuration Exercise 10.2
- Class 6 Maths Mensuration Exercise 10.3

**Ncert Solutions for Class 6 Maths Chapter 11 Algebra:** With a total of five exercises, Chapter 11: Algebra introduces students to an entirely new mathematical concept involving the use of various alphabets. Introduction to Algebra, matchstick patterns, the concept of a variable, examples of variables, and the application of variables in common rules, expressions with variables, the practical application of expressions, equation, and solutions to an equation are the fundamental concepts covered in this chapter.

**NCERT Solutions for Class 6 Maths Chapter 11 Exercises are given in the table below:**

- Class 6 Maths Algebra Exercise 11.1
- Class 6 Maths Algebra Exercise 11.2
- Class 6 Maths Algebra Exercise 11.3
- Class 6 Maths Algebra Exercise 11.4
- Class 6 Maths Algebra Exercise 11.5

**Ncert Solutions for Class 6 Maths Chapter 12 Ratio and Proportion:** In this chapter, there are 3 exercises. In the first activity, you will be exposed to ratio and proportion fundamentals. In the second exercise, you will learn about ratios and their attributes. In the third exercise, proportion will be covered. Learn the strategies and formulas for the final exercise, “unitary method” Use the provided examples and solutions to solve the exercise questions.

**NCERT Solutions for Class 6 Maths Chapter 12 Exercises are given in the table below:**

- Class 6 Maths Ratio and Proportion Exercise 12.1
- Class 6 Maths Ratio and Proportion Exercise 12.2
- Class 6 Maths Ratio and Proportion Exercise 12.3

**Class 6 Ncert Solutions for Maths Chapter 13 Symmetry: **Three exercises in Chapter 13 on Symmetry teach students how to determine symmetrical objects and operations based on Symmetry. Making Symmetric Figures – Ink-blot Devils, Figures with Two Lines of Symmetry, Figures with Multiple (more than two) Lines of Symmetry, Reflection, and Symmetry are the major topics covered in this chapter.

**NCERT Solutions for Class 6 Maths Chapter 13 Exercises are given in the table below:**

- Class 6 Maths Symmetry Exercise 13.1
- Class 6 Maths Symmetry Exercise 13.2
- Class 6 Maths Symmetry Exercise 13.3

**Class 6 Maths Ncert Solutions Chapter 14 Practical Geometry:** This is the last chapter in your class 6 maths syllabus. This chapter has 6 exercises. You will learn about circles, segments of lines, angles, etc. Learn the subject and engage in as much practice as possible.

**NCERT Solutions for Class 6 Maths Chapter 14 Exercises are given in the table below:**

- Class 6 Maths Practical Geometry Exercise 14.1
- Class 6 Maths Practical Geometry Exercise 14.2
- Class 6 Maths Practical Geometry Exercise 14.3
- Class 6 Maths Practical Geometry Exercise 14.4
- Class 6 Maths Practical Geometry Exercise 14.5
- Class 6 Maths Practical Geometry Exercise 14.6

**Benefits of NCERT Solution of Class 6**

NCERT solutions for Class 6 are the key to success for every student because they help them build on their core knowledge and become experts in every subject. Some of the good things about the Class 6 Ncert solutions are as follows:

- The answers are made according to the rules and format set by the CBSE board. This gives the students an idea of how the questions will be set up on the final exams.
- Some expert teachers with years of experience in this field put together the solutions, so you can be sure that there are no mistakes in them. The students can be sure that the solutions are good.
- The answers are given to the questions that are most likely to show up on the tests. This helps the students prepare well.

**Key Learning of NCERT Solutions for Class 6 Maths Chapter 3**

Here are a few Learning tips of referring to Utopper’s **NCERT Solutions**:

- A prime number is any number other than 1 that can be broken down into only two parts: the number itself and 1.
- Composite numbers are those that have more than two things that make them up.
- Every number has 1 as a factor, and it is neither prime nor composite.
- A number is called “perfect” if the sum of all its factors is the same as the number itself. 6 = 1 + 2 + 3, so it is a perfect number. 28 is also a perfect number, since 1 + 2 + 4 + 7 + 14 = 28.
- Every number can be used to make itself smaller or bigger.
- Every factor of a number is the same as one of its exact divisors.
- Every number’s factors are less than or the same as that number, but every number’s multiples are greater than or the same as that number.
- The number of factors of a given number is limited, but the number of multiples of a given number is unlimited.
- If a number can divide two numbers, that number can also divide their sum and difference.
- The HCF of two or more numbers is the number that has the most factors in common with all of them.
- The Least Common Multiple (LCM) of two or more numbers is the smallest multiple of the numbers that they all have in common.

###### NCERT Solutions for Class 6 Maths

- 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

**Frequently Asked Questions on NCERT Solutions for Class 6 Maths Chapter 3**

**Frequently Asked Questions on NCERT Solutions for Class 6 Maths Chapter 3****Q.1 What’s the difference between Factors and Multiples?**

**Q.1 What’s the difference between Factors and Multiples?**A “factor” is any number or group of numbers that can be used to divide a given number without leaving a “rest.” For example 6 x 5 = 30. In this case, 30 is made up of 6 and 5. A multiple is a number that can be divided by another number a certain number of times without leaving a remainder. For example: 3 x 5= 15. This number is a multiple of both 3 and 5.

**Q.2 How many exercises are there in Chapter 3 of NCERT Solutions for Class 6 Maths?**

**Q.2 How many exercises are there in Chapter 3 of NCERT Solutions for Class 6 Maths?**In Chapter 3 of the NCERT Solutions for Class 6 Maths, there are 7 exercises. Below is a list of how many questions are in each exercise.

Exercise 3.1 – 4 Questions

Exercise 3.2 – 12 Questions

Exercise 3.3 – 5 Questions

Exercise 3.4 – 7 Questions

Exercise 3.5 – 12 Questions

Exercise 3.6 – 4 Questions

Exercise 3.7 – 11 Questions

**Q.3 Explain Prime and Composite numbers?**

**Q.3 Explain Prime and Composite numbers?**A prime number is a whole number that can be divided into only two parts: 1 and itself. For example 2, 3, 5, 7, 11, 13, etc (1 is not a prime number because it has only one divisor). A whole number with two or more divisors is called a composite number.

For instance:

4 = 1,2,4, and those are the parts.

10 = The parts are 1, 2, 5, and 10.

**Q.4 How are Class 6 NCERT Solutions helpful for CBSE Board Exams?**

**Q.4 How are Class 6 NCERT Solutions helpful for CBSE Board Exams?**NCERT Solutions for Class 6 provide a big number of questions for frequent practice. This makes it easy for pupils to complete all exam questions on time and develops their time management abilities.

The short-answer and multiple-choice questions keep pupils occupied with problem solving during the whole school year. By doing so, students will be able to identify the exam-relevant topics and spend more time practicing them in order to achieve a perfect score of 100 out of 100. They constitute the most trustworthy study materials for their final exams.