# NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers (Ex 3.1) Exercise 3.1

## NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers (Ex 3.1) Exercise 3.1

Maths is a discipline that children need in all areas of their lives, not just school. Therefore, having a solid understanding of Maths can help students both in and out of the classroom. In Class 6, students study a wide range of essential ideas with numerous applications. Hence, it is vital that they study Maths thoroughly. By practising Maths properly and performing well on Class 6 exams, students can lay a good foundation for their future studies. For many students, the combination of Class 6 and Maths is highly daunting. Maths is sometimes regarded as the most difficult subject to master. Mathematical principles need to be properly understood, in addition to significant problem-solving practise. Many times, students understand and retain every topic taught to them, but they do not get enough practise  answering questions. As a result, they are less competitive when taking the final exams. In order to succeed, they must correctly practice the NCERT textbook exercises. As advised by the CBSE, NCERT textbooks are typically the primary source of education in most CBSE-affiliated schools. Thus, NCERT solutions are quite important. When preparing for exams, NCERT solutions are crucial for classes like Class 6. To provide students plenty of practise before exams, Extramarks offers NCERT solutions like the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1.

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One of the most crucial topics in Class 6 is Playing with Numbers. For students who want to understand Arithmetic properly, this chapter is very crucial. Therefore, in order to succeed in their studies, students should thoroughly understand the fundamentals of the chapter on Playing with Numbers. When students have access to some of the best study resources, this is made simpler. Finding the best resource to meet their academic goals is a common challenge for students. The appropriate and essential solution to students’ educational demands is provided by the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1. The availability of NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 meets the needs of students who are studying for their annual exams. Yet another benefit is that the CBSE itself suggests using the NCERT textbook. NCERT textbooks are used in the CBSE curriculum. Numerous exam-relevant and crucial practise questions can be found in textbooks. Most of the time, students struggle with these questions, particularly the numerical ones, which makes them less confident in the subject and the material. It is important to comprehend the ideas right from the first topic. Students with access to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 will benefit from having a firm grasp of both fundamental and advanced ideas while attempting the questions in the NCERT textbooks. Students who finish it will have a firm conceptual understanding of factors and multiples. They can also evaluate and change their answers by comparing them to the NCERT Solutions for Class 6 Maths, Chapter 3, Exercise 3.1.

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Along with the NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1, ExtraMath also has NCERT solutions for other chapters. Students can get comprehensive and in-depth NCERT solutions on Extramarks for each of the 14 chapters in Class 6 NCERT Maths textbook. All of the exercises’ questions have detailed solutions available. Teachers frequently suggest to students that they do NCERT exercises as part of their homework. As they attempt to respond to the questions, they run into a number of challenges. They are occasionally  unable to finish the exercises. If they have access to NCERT solutions, such as the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1, students can do the exercises with ease. Following the completion of the exercises according to schedule, students can move on to other subjects. Students may quickly understand the answers and apply the strategies to the problems because they are given in very simple terms. NCERT solutions are available on Extramarks for a variety of other subjects for Class 6 students in addition to Maths. Using the NCERT solutions offered on Extramarks, students can do their coursework in all school subjects.

Students in Class 6 must pay close attention to each subject they are studying. That, however, is not enough for students to get good test results. Students should rehearse a large number of questions in order to avoid blunders and errors during the examination. Students’ memory skills are improved by constantly practising questions. With the help of the problems on Extramarks’ NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1, students can do this task with ease. NCERT solutions are provided for Class 6 students for all chapters and topics, not just the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1. NCERT solutions, like the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1, are beneficial for students preparing for the annual exams since they are prepared in a simple language that all students can understand. In order to help students succeed in their exams, the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 have been written in a step-by-step format. The most recent CBSE rules and guidelines were used to create NCERT solutions, such as the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 accessible at Extramarks. Students can save time and avoid having to go elsewhere for information about the topics covered in the CBSE curriculum or the marking scheme used in the examinations by paying attention to them.

Students must study diligently and methodically in order to succeed in the Class 6 exams. Students must develop a smart plan to maximise the benefits of their preparation. They must make an effort to establish a study schedule outlining the amount of time required for each topic and then try to stick to it. They have to plan every detail of their preparation beforehand. Students must download the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 in advance so they can utilise them all year long even without internet access. They should first go through each topic according to the syllabus in detail. They should review the questions in the textbook and take notes on important facts. Students must also attempt to finish each exercise question on their own. They should use the extramarks made for NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 if they are unable to do so.They should also pay great attention to the strategies used to answer the questions. They can keep a record of the strategies they used to respond to different types of questions in their notes. After that, they should revise each topic, emphasising their weak points. Finally, they should practisetaking mock tests and solving sample question papers in order to master the entire course.

### Access Other Exercises of Class 6 Maths Chapter 3

 Chapter 3 – Playing with Numbers Exercises Exercise 3.2 12 Questions & Solutions Exercise 3.3 6 Questions & Solutions Exercise 3.4 7 Questions & Solutions Exercise 3.5 12 Questions & Solutions Exercise 3.6 3 Questions & Solutions Exercise 3.7 11 Questions & Solutions

## NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers (Ex 3.1) Exercise 3.1

Extramarks completely satisfy students’ educational requirements.Despite the fact that NCERT textbooks are excellent study resources, it can be difficult for students to find reliable NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1.Extramarks provides accurate and comprehensive NCERT solutions for students in Class 6. Besides, it provides students with a refined learning experience by combining the advantages of live classrooms with the learning app in one all-encompassing package. Students can also access the PDF of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 on Extramarks. Even when the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 are available online, regular access to them is preferable. Students can learn whenever and wherever they want by having offline access. Students can utilise the Extramarks-provided NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 anytime they wish to learn. Unexpected network problems and poor internet connectivity will not be a concern for students any further. The expert-curated NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 include every question in the textbook, allowing students to learn while preparing for the test. There are a number of NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 on the internet. There are several websites that do provide the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 to students. The accuracy of these websites must, however, be confirmed by students. Not all online teaching platforms can be relied upon. Only a few websites that feature the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 from knowledgeable and experienced educators are useful to students. This has a negative impact on students, as they spend a lot of time searching. However, one of the few sites where students may acquire reliable NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 is the Extramarks website. For continuing test preparation, students can get the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 in PDF format from the Extramarks website and mobile application.

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

Students will be more able to understand the information presented in the chapter in the NCERT textbook if they have access to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1. Additionally, they will be fully aware of the solutions and approaches for each question. There are numerous practice questions in the NCERT textbook. However, the answers are not provided. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 are accessible on the Extramarks website and mobile app to assist students in developing a thorough conceptual knowledge of each concept. Students can also find the downloadable PDF of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 for offline access.

### Class 6 Maths Exercise 3.1

The Central Board of Secondary Education (CBSE) is a large national school education board in India. The CBSE has thousands of students enrolled. Being a national-level board, it affiliates many public and private schools all throughout the country. Before the country earned its independence, the Central government established the CBSE to offer secondary education to children in different regions of the country. In 1962, the board underwent a reorganisation to better serve students who had to transfer between states to complete their education. The board also has connections to a number of organisations outside of India. The board’s national headquarters are in New Delhi, and it also has regional offices all around the nation. For students in Classes 10 and 12, the CBSE also administers the board exams. For CBSE Class 6 students, Maths is one of the required subjects to be studied. Achieving success on the yearly exams requires mastering Maths, which is a crucial part of the school curriculum.

Students learn a range of new theories in Class 6. Some of them are Factors and Multiples. These concepts are applied in the upper-level classes as well. Hence, in order to perform well on Class 6 yearly examination and in subsequent classes, students in Class 6 must fully understand the topics. Students in Class 6 often find the yearly exam to be very challenging. The lengthy syllabus in Class 6 usually overwhelms the students. They experience significant tension and worry about completing their assignments in a timely manner. As a result, they do not do well enough on exams and fall short of their potential. They fail to successfully complete the question paper and hence obtain lower than expected marks in the tests. However, with sufficient exam preparation beforehand, students can considerably raise their scores. If the correct assistance and resources are provided, they can effectively control their stress and perform well on the yearly exam. Sometimes, Class 6 students struggle to find the appropriate study materials quickly. Sometimes, due to the numerous study resources available online, students are unsure of which ones to employ. Extramarks can help them if they encounter that kind of circumstance. Extramarks addresses this issue by providing students with the resources they need for efficient exam preparation. Some of the best educators in the country are available at Extramarks, providing students with instruction that is suitable, easy to understand, and engaging. It also provides a wide range of study tools that help students with all aspects of their preparation. The NCERT solutions, including the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1, are one of these resources.

The Union Government established the National Council of Educational Research and Training (NCERT) to assist in the creation of policies intended to improve school education in India. It was established in 1961 and advises the federal and state governments on educational policy. In order to improve education in India, the NCERT carries out considerable research. As part of its studies to improve education across the country, it collaborates with a number of academic institutions and foreign organisations.Furthermore, it provides instructor training programmes to help teachers become proficient in innovative teaching methods. One of the NCERT’s primary responsibilities is the publication of textbooks and other educational materials. In order to provide students of all classes with a more advanced education, it also publishes newsletters, journals, and other supplemental materials. Besides that, it provides students with online learning resources on its website, including PDF files of the NCERT textbooks. Reading the NCERT books is the most important part of exam preparation for CBSE students. The NCERT textbooks also provide the basis for a substantial number of competitive exams. This makes it crucial for Class 6 students to finish the NCERT textbooks completely.

Exercise 3.1 is based on Factors and Multiples. Solving this exercise will help students learn to find the factors and multiples of a given number. These concepts are very important to learn in Maths. There are a lot of questions in Class 6 Maths Chapter 3 Exercise 3.1 that commonly occur in exams. There are a total of 4 questions in Maths Class 6 Chapter 3 Exercise 3.1. There are some problems in this exercise that call for students to think deeply. Students must learn how to approach these questions correctly. They can benefit from Extramarks’ NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 in this regard. Students benefit from practising these questions not just for their Class 6 exams, but also for the future. These questions help students develop their analytical abilities, which will benefit them in future exams.

Extramarks offers a comprehensive solution to a student’s learning requirements.Despite the fact that NCERT textbooks are excellent study tools, students may find it difficult to locate credible NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1. The NCERT textbook contains the questions’ answers at the end, but not their in-depth step-by-step solutions. When answering questions on factors and multiples, students must comprehend the methods used to find the final answer. If students want to get the maximum marks possible when responding to questions in exams, they must write down each step they took to solve a problem. If students have access to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1, they can evaluate how well they comprehend the ideas behind factors and multiples, as well as identify their strong and weak points.

Understanding the several topics covered in Class 6 requires receiving proper support. Gaining high grades in a subject like Maths is only made more difficult by exam stress. In addition to obtaining the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 from top subject experts, students may get additional help at Extramarks to help them fully comprehend the fundamentals of a particular topic. Students can acquire the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 from well-known subject experts by using the methodically designed study resources that Extramarks provides. They can increase their confidence in their study strategies and for the upcoming exams with the guidance of the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1. Many exams and assessments are taken in Class 6 at the school level to facilitate students  moving forward with their education. Nevertheless, students need the assistance of experts in order to perform well on their exams. Exam preparation might benefit from having access to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 by the best subject experts.

When preparing for the Class 6 annual exams, students must select textbooks that follow CBSE regulations. Students are required to use NCERT-published textbooks in accordance with the CBSE guidelines. Students should attempt to answer the questions in the NCERT book after studying each chapter, including those found in the examples and exercises. To assess their own responses, students need to be aware of the correct answers to the questions. As a result, the Extramarks website has the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 available. Students can evaluate their understanding of the concepts and determine their level of understanding by checking the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1.  The NCERT Solutions for Class 6 Maths, Chapter 3, Exercise 3.1, also help students develop a variety of skills, including logical and reasoning abilities, while providing critically analysed learning.The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 also aid students in effectively studying for the annual exams, making it a crucial component in test preparation. The solutions provided in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 are carefully designed in such a way that they guide the students in developing specific problem-solving skills. Consequently, they will be able to use them in different practical as well as theoretical situations and solve various problems.

### Introduction

The chapter Playing with Numbers is a very crucial chapter to study in Class 6. Students should start the chapter by reading the introduction. This will help them understand the concepts needed to understand the chapter.

### Factors and Multiples

Students should understand the concepts of factors and how to find them. Then they can also understand the theory of multiples. They should solve the examples as well as the exercises. Once they are done, they can refer to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 to check their answers.

### Exercise 3.1 Questions and Answers

Exercise 3.1 includes four questions. These questions are based on the concepts of multiples and factors of a number. Students can refer to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 for assistance in solving these questions.

### Prime and Composite Numbers

After completing Exercise 3.1, students should study the Prime and Composite Numbers. This will help them identify the numbers as prime or composite.

### Exercise 3.2 Questions and Answers

Exercise 3.2 is based on Prime and Composite Numbers. This exercise has 12 questions in total.

### Tests for Divisibility of Numbers

Students also need to learn about the Tests for the Divisibility of Numbers. By studying this topic, they will be able to check the divisibility of a number by numbers such as 2, 3, 5, 10, etc.

### Exercise 3.3 Questions and Answers

Exercise 3.3 is based on Tests for the Divisibility of Numbers. There are six questions in this exercise. Students need to learn to check the divisibility of a number by another number to solve the questions in this exercise.

### Common Factors and Common Multiples

Another important topic to study is Common Factors and Common Multiples. Students can learn the method to find the common factors and multiples of two or more given numbers.

### Exercise 3.4 Questions and Answers

Exercise 3.4 is on the topic of Common Factors and Common Multiples. There are seven questions in this exercise and are very crucial for examinations.

### Some More Divisibility Rules

This topic teaches students some more methods of checking the divisibility of a number. These rules are often applied to solve questions subsequently.

### Prime Factorisation

Prime Factorisation is a crucial topic for Class 6 students to learn. Learning to find the prime factorisation of a number is very crucial and has wide applications.

### Exercise 3.5 Questions and Answers

Exercise 3.5 is based on the topics of Some More Divisibility Rules and Prime Factorisation. There are 12 questions in this exercise that are quite important for exams.

### Highest Common Factor

The Highest Common Factor is a very crucial topic for Class 6 students not just in Class 6 but also in their higher classes. Students should thoroughly learn the method of finding the HCF of two or more numbers.

### Exercise 3.6 Questions and Answers

Exercise 3.6 is based on the topic Highest Common Factor. There are three questions in this exercise.

### Lowest Common Multiple

The topic of the Lowest Common Multiple is just as important as Highest Common Factor. It is essential to learn the proper method of finding the LCM of two or more numbers.

### Some Problems on HCF and LCM

There are also some problems in the NCERT book that are based on the application of HCF and LCM. Solving these problems will help students learn to apply the concepts of HCF and LCM in various real-life situations.

Extramarks is one of the most trusted educational platforms in India. The Extramarks platform provides a complete solution to students’ study needs by providing various study modules that help students learn and perform well in exams. To make sure that Class 6 students have a thorough understanding of all the topics in the syllabus, the Extramarks Learning App offers chapter-based worksheets, interactive exercises, a tonne of practise questions, and much more. Class 6 students can assess their understanding and create an upward learning curve by using MCQs, mock tests, and adaptive tests with varying degrees of difficulty. For assistance with Exercise 3.1 of the Maths NCERT book, students can access comprehensive NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1. Extramarks uses animations and images to make basic textbook subjects more engaging. The 2D and 3D animation teams specialise in enhancing knowledge and memory recall during web-based learning to make learning more meaningful.

Q.1 Write all the factors of the following numbers:
(a) 24 (b) 15 (c) 21
(d) 27 (e) 12 (f) 20
(g) 18 (h) 23 (i) 36

Ans.

(a) Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
(b) Factors of 15 = 1, 3, 5, 15
(c) Factors of 21 = 1, 3, 7, 21
(d) Factors of 27 = 1, 3, 9, 27
(e) Factors of 12 = 1, 2, 3, 4, 6, 12
(f) Factors of 20 = 1, 2, 4, 5, 10, 20
(g) Factors of 18 = 1, 2, 3, 6, 9, 18
(h) Factors of 23 = 1, 23
(i) Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36

Q.2 Write first five multiples of:

(a) 5 (b) 8 (c) 9

Ans.

(a) First five multiples of 5 = 5, 10, 15, 20, 25
(b) First five multiples of 8 = 8, 16, 24, 32, 40
(c) First five multiples of 9 = 9, 18, 27, 36, 45

Q.3 Match the items in column 1 with the items in column 2.

 Column 1 Column 2 (i) 35 (a) Multiple of 8 (ii) 15 (b) Multiple of 7 (iii) 16 (c) Multiple of 70 (iv) 20 (d) Factor of 30 (v) 25 (e) Factor of 50 (f) Factor of 20

Ans.(i) 35 (b) Multiple of 7

(ii) 15 (d) Factor of 30

(iii) 16 (a) Multiple of 8

(iv) 20 (f) Factor of 20

(v) 25 (e) Factor of 50

Q.4 Find all the multiples of 9 upto 100.

Ans.

Sol: Multiples of 9 upto 100 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.

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### 1. Where can students find the correct NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1?

The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 are available on the Extramarks website and mobile application. The NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 are created and updated by academic specialists who follow the CBSE rules, making them a reliable source of information. The Class 6 Maths Chapter 3 Exercise 3.1 Solution is explained in detail and cross-checked with the answers provided in the NCERT textbooks to give students a reliable and legitimate resource.

### 2. Do the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 help students finish the question paper on time?

It helps to finish the exam paper within the allocated time if students practice with NCERT textbook questions on a regular basis. When they rehearse the questions, their writing speed increases. The exam paper also contains questions from the NCERT textbook. Students who have access to the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 learn how to structure their responses so that they may complete the test question paper on time.

### 3. How many questions are solved in the NCERT Solutions Class 6 Maths Chapter 3 Exercise 3.1 provided by Extramarks?

All four questions in Class 6th Math Exercise 3.1 are solved in the solutions provided by Extramarks. Students can have access to these solutions on the Extramarks website.