case study questions on playing with numbers for class 6

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Important Questions for CBSE Class 6 Maths Chapter 3 – Playing with Numbers

Home » CBSE » Important Questions for CBSE Class 6 Maths Chapter 3 – Playing with Numbers

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Maths is one of the  important subjects taught in school. We require Maths in our daily life to develop the power of analytical skills, reasoning and we begin with mathematical abilities to deal   with numbers in lower classes.

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Chapter 3 of Class 6 Maths is about playing with numbers. It includes prime and composite numbers, divisibility, factors and multiples. It also includes two vital concepts- Highest Common Factor (HCF) and Lowest Common Multiple (LCM). The chapter is quite lengthy  and has different questions, and students must practise questions from this chapter to clear their concepts.

Extramarks is a leading educational company that helps students by providing different study materials.  Extramarks subject experts identify the importance of practising questions regularly. For this purpose, they have prepared  the Important Questions Class 6 Maths Chapter 3. They have collected several important questions and provided the solutions in the question series. You may follow this article to solve different types of questions.

Extramarks, one of the leading educational platforms, believes in incorporating the best learning experiences through its own repository.To enjoy the maximum benefit of these resources,one may register on the official website of Extramarks and download a wide range of study materials. We provide CBSE syllabus, NCERT books, CBSE past years’ question papers , CBSE extra questions , CBSE sample papers, CBSE revision notes , NCERT solutions, NCERT important questions and much  more.

Get Access to CBSE Class 6 Maths Important Questions with Solutions

Also, get access to CBSE Class 6 Maths Important Questions for other chapters too:

Playing with Numbers Class 6 Extra Questions With Answers

As stated  above,Extramarks faculty experts have collected the questions from different sources like the textbook exercise, NCERT exemplar and reference books. They have taken help from CBSE past years’ question papers and CBSE sample question papers. They have provided the answers to the questions. Thus, students will find questions and solutions in the Important Questions Class 6 Maths Chapter 3 article extremely beneficial. The following are some of the important questions – to get an overview of the questions  and for further practice one may sign up at Extramarks website.

Question 1. Write down all the factors of the following numbers given below:

24 = 1 × 24

Stop here as factors of  4 and 6  have already been counted. .

Therefore, the factors of 24 are – 1,2,3,4,6,8,12 and 24

15 = 1 × 15

Stop here, as factors of  3 and 5 have already been counted.

Therefore, the factors of 15 are – 1, 3, 5 and 15

21 = 1 × 21

Stop here, as factors 3 and 7 have occurred earlier.

Therefore, the factors of 21 are – 1, 3, 7 and 21

27 = 1 × 27

Stop here, as 3 and 9 have occurred earlier.

Therefore, the factors of 27 are – 1, 3, 9 and 27

12 = 1 × 12

Stop here, as the factors of 3 and 4 have already occurred earlier.

Therefore, the factors of 12 are – 1, 2, 3, 4, 6 and 12

20 = 1 × 20

20 = 2 × 10

Stop here as the factors of 4 and 5 have occurred earlier.

Therefore, the factors of 20 are – 1, 2, 4, 5, 10 and 20

18 = 1 × 18

Stop here, as 3 and 6 have already occurred earlier.

Therefore, the factors of 18 are – 1, 2, 3, 6, 9 and 18

23 = 1 × 23

23 = 23 × 1

As 1 and 23 have occurred earlier

Therefore, the factors of 23 are – 1 and 23

36 = 1 × 36

36 = 2 × 18

36 = 3 × 12

Stop here since both factors (6) are the same. Therefore, the factors of 36 are – 1, 2, 3, 4, 6, 9, 12, 18 and 36.

Question 2. Write the first five multiples of:

(i) The required five multiples are –

Therefore, the first five multiples of 5 are 5, 10, 15, 20 and 25.

(ii) The required multiples are:

Therefore, the first five multiples of 8 are 8, 16, 24, 32 and 40.

(iii) The required multiples are:

Therefore, the first five multiples of 9 are 9, 18, 27, 36 and 45.

Question 3. State whether the following statements are True(T) or False(F) –

(i) The total sum of three odd numbers is even.

(ii) The total sum of two odd numbers and one even number is even.

(iii) The product of 3 odd numbers is odd.

(iv) If an even number is divided by two, the quotient is always odd.

(v) All prime numbers are odd.

(vi) Prime numbers don’t have any factors.

(vii) The sum of two prime numbers is always even.

(viii) Two is the only even prime number.

(ix) All the even numbers are composite numbers.

(x) The product of 2 even numbers is always even.

(i) False. The sum of 3 odd numbers is odd.

For example: 7 + 9 + 5 = 21 i.e odd number

(ii) True. The sum of 2 odd numbers and 1  even number is even.

For example: 3 + 5 + 8 = 16 i.e is an even number.

(iii) True. The product of 3 odd numbers is odd.

For example: 3 × 7 × 9 = 189 i.e is an odd number.

(iv) False. If an even number is divided by two, the quotient is even.

For example: 8 ÷ 2 = 4

(v) False, All the prime numbers are not odd.

Example: Two is a prime number, but it is also an even number.

(vi) False. Since one and the number itself are factors of the number

(vii) False. The sum of 2 prime numbers may also be an odd number

For example: 2 + 5 = 7  which is an odd number.

(viii) True. 2 is the only even and the lowest prime number.

(ix) False. Since 2 is a prime number but not a composite number.

(x) True. The product of 2 even numbers is always even.

For example: 2 × 4 = 8 which is an  even number.

Question 4. The numbers 13 and 31 both are prime numbers. Both of these numbers have the same digits, one and three. Find such pairs of all the prime numbers up to 100.

The prime number pairs with the same digits up to 100 are as follows:

(a) 17 and 71

(b) 37 and 73

(c) 79 and 97

Question 5. Write down separately the prime and composite numbers which are less than 20.

2,3,5,7,11,13,17 and 19 are the prime numbers less than 20

4,6,8,9,10,12,14,15,16 and 18 are the composite numbers less than 20

Question 6. What is the greatest prime number between 1 and 10?

2,3,5 and 7 are the prime numbers between 1 and 10. 7 is the greatest prime number among them.

Question 7. Express the following given numbers as the sum of two odd primes.

(i) 3 + 41 = 44

(ii) 5 + 31 = 36

(iii) 5 + 19 = 24

(iv) 5 + 13 = 18

Question 8. Which of the following numbers is prime?

1 × 23 = 23

23 × 1 = 23

Therefore, 23 has only 2 factors, that is, 1 and 23. Hence, it is a prime number.

1 × 51 = 51

3 × 17 = 51

Therefore 51 has 4 factors that are 1, 3, 17 and 51. So, it is not a prime number, and it is a composite number.

1 × 37 = 37

37 × 1 = 37

Therefore 37 has 2 factors, 1 and 37. Hence, it is a prime number.

1 × 26 = 26

2 × 13 = 26

Therefore 26 has 4 factors 1, 2, 13 and 26. So, it is not a prime number, and it is a composite number.

Question 9. Express each of the following given numbers as the sum of 3 odd primes:

(i) 3 + 5 + 13 = 21

(ii) 3 + 5 + 23 = 31

(iii) 13 + 17 + 23= 53

(iv) 7 + 13 + 41 = 61

Question 10. Write 5 pairs of prime numbers less than 20 whose sum is divisible by five. (Hint: 3 + 7 = 10)

The 5 pairs of prime numbers less than 20 whose sum is divisible by 5 are

(i) 2 + 3 = 5

(ii) 2 + 13 = 15

(iii) 3 + 17 = 20

(iv) 7 + 13 = 20

(v) 19 + 11 = 30

Question 11. Fill in the blanks:

(i) A number with only two factors is called a ______.

(ii) A number with more than two factors is called a ______.

(iii) 1 is neither ______ nor ______.

(iv) The smallest prime number is ______.

(v) The smallest composite number is _____.

(vi) The smallest even number is ______.

(i) A number with only two factors is called a prime number.

(ii) A number with more than two factors is called a composite number.

(iii) 1 is neither a prime number nor a composite number.

(iv) The smallest prime number is 2

(v) The smallest composite number is 4

(vi) The smallest even number is 2.

Question 12. By using divisibility tests, determine which of the following given numbers are divisible by 6:

(vi) 438750

(vii) 1790184

(viii) 12583

(ix) 639210

As the last digit of the number is four. Therefore, the number is divisible by two.

By adding  up all the digits of the number, we get 27 which is divisible by three. Hence, the number is divisible by 3

∴ The number is divisible by both two and three. Hence, the number is divisible by 6

As the last digit of the number is eight. Hence, the number is divisible by two.

By adding  up all the digits of the number, we get 16 which is not divisible by three. Hence, the number is not divisible by three.

∴ The number is not divisible by both two and three. Therefore, the number is not divisible by six.

Since the last digit of the number is five, which is not divisible by two. Hence, the number is not divisible by two.

By adding all the digits of the number, we get 15 divisible by three. Therefore, the number is divisible by three.

∴ The number is not divisible by two. . Hence, the number is not divisible by six.

As the last digit of the number is three, which is not divisible by two. Hence, the number is not divisible by two.

By adding  up all the digits of the number, we get 15 divisible by three. Hence, the number is divisible by three.

∴ The number is not divisible by two.. Hence, the number is not divisible by six.

As the last digit of the number is two. Hence, the number is divisible by two.

The sum of all the digits of the number, we get 20 which is not divisible by three. Hence, the number is not divisible by three.

∴ The number is not divisible by  three. Hence, the number is not divisible by six.

As the last digit of the number is zero. Hence, the number is divisible by two.

By adding  up all the digits of the number, we get 27 which is divisible by three. Hence, the number is divisible by three.

∴ The number is divisible by both two and three. Hence, the number is divisible by six.

As the last digit of the number is four. Hence, the number is divisible by two.

By adding  up all the digits of the number, we get 30 divisible by 3. Hence, the number is divisible by 3

As the last digit of the number is three. Hence, the number is not divisible by two

By adding  all the digits of the number, we get 19 which is not divisible by three. Hence, the number is not divisible by three.

∴ The number is not divisible by both two and three. Hence, the number is not divisible by six

By adding  up all the digits of the number, we get 21 which is divisible by three. Hence, the number is divisible by three

By summing up all the digits of the number, we get 23 which is not divisible by three. Hence, the number is not divisible by three.

Question 13. Find the common factors of:

(i) 20 and 28

(ii) 15 and 25

(iii) 35 and 50

(iv) 56 and 120

1, 2, 4, 5, 10 and 20 are factors of 20

1, 2, 4, 7, 14 and 28 are factors of 28

Common factors = 1, 2, 4

1, 3, 5 and 15 are the factors of 15

1, 5 and 25 are the factors of 25

Common factors = 1, 5

1,5,7 and 35 are the factors of 35

1, 2, 5, 10, 25 and 50 are the factors of 50

1,2,4,7,8,14,28 and 56 are the factors of 56

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60 and 120 are factors of 120

Common factors = 1, 2, 4, 8

Question 14. Using divisibility tests, determine which of the following given numbers are divisible by 11:

(iii) 7138965

(iv) 70169308

(v) 10000001

(vi) 901153

Sum of digits at odd places = 5 + 4

Sum of digits at even places = 4 + 5

Difference between odd place and even place= 9 – 9 = 0

As the difference between the sum of digits at odd places and the sum of digits at even places is zero. Hence, 5445 is divisible by 11

Sum of digits at the odd places = 4 + 8 + 1

Sum of digits at the even places = 2 + 0

Difference = 13 – 2 = 11

As the difference between the sum of digits at odd places and the sum of digits at even places is 11, which is divisible by 11. Hence, 10824 is divisible by 11

Sum of digits at the odd places = 5 + 9 + 3 + 7 = 24

Sum of digits at the even places = 6 + 8 + 1 = 15

Difference = 24 – 15 = 9

As, the difference between the sum of digits at odd places and the sum of digits at even places is nine, which is not divisible by 11. Hence, 7138965 is not divisible by 11

Sum of digits at the odd places = 8 + 3 + 6 + 0

Sum of digits at the even places = 0 + 9 + 1 + 7

Difference = 17 – 17 = 0

As the difference between the sum of digits at odd places and the sum of digits at even places is 0. Hence, 70169308 is divisible by 11

Sum of digits at odd places = 1

Sum of digits at even places = 1

Difference = 1 – 1 = 0

As the difference between the sum of digits at odd places and the sum of digits at even places is 0. Hence, 10000001 is divisible by 11

Sum of digits at the odd places = 3 + 1 + 0

Sum of digits at the even places = 5 + 1 + 9

Difference = 15 – 4 = 11

As, the difference between the sum of digits at odd places and the sum of digits at even places is 11, which is divisible by 11. Hence, 901153 is divisible by 11.

Question 15. Which of the following statements is true?

(i) If the number is divisible by 3, it must be divisible by 9.

(ii) If the number is divisible by 9, it must be divisible by 3.

(iii) A number is divisible by 18 if it is divisible by both 3 and 6.

(iv) If a number is divisible by 9 and 10, then it must be divisible by 90.

(v) If two numbers are co-primes, at least one of them must be prime.

(vi) All numbers divisible by four must also be divisible by 8.

(vii) All numbers divisible by eight must also be divisible by 4.

(viii) If a number exactly divides two numbers separately, it must exactly divide their sum.

(ix) If a number exactly divides the sum of two numbers, it must divide the two numbers separately.

(i) False, six is divisible by three but is not divisible by 9

(ii) True, as 9 = 3 × 3. Therefore, if a number is divisible by nine, it will also be divisible by 3

(iii) False. Since 30 is divisible by both three and six but is not divisible by 18.

(iv) True, as 9 × 10 = 90. Therefore, if the number is divisible by both nine and ten, then it is divisible by 90

(v) False, because 15 and 32 are co-primes and also composite numbers.

(vi) False, as 12 is divisible by four but is not divisible by 8

(vii) True, as 2 × 4 = 8. Therefore, if a number is divisible by eight, it will also be divisible by 2 and 4.

(viii) True, as 2 divides 4 and 8 and it also divides 12 (4 + 8 = 12)

(ix) False, since 2 divides 12, but it does not divide 7 and 5

Benefits of Solving Class 6 Maths Chapter 3 Extra Questions

Extramarks believes in incorporating the best learning experiences through its own repository.To enjoy the maximum benefit of these resources , students just need to register themselves at Extramarks official website and stay ahead of the competition. Practice is a key to getting  better in Maths. Students must solve questions as much as possible to clear their concepts. The experts identify the importance of practice. For this purpose, they have made the Important Questions Class 6 Maths Chapter 3 to help students. They have collected the questions from various sources and provided the answers too. Experienced professionals have further checked the solutions to ensure the best  content for students. Thus, students will have multiple benefits if they follow the Important Questions Class 6 Maths Chapter 3. The benefits are-

• The textbook exercise is often not enough for students. So, they must take help from other references. The experts  have collected questions from different sources so that students need not search for similar study materials for further practice elsewhere. Apart from the textbook, they have taken help from CBSE sample papers and CBSE past years’ question papers. Thus, students  have a complete set of practice study materials at their disposal not just for Maths but for other subjects as well. Students will find one of them in the class 6 playing with numbers extra questions . So, it will help students in revising and practising to get a 100% score in Maths.
• Only solving questions may not be enough to score better in exams. Students must check the answers and get feedback. Sometimes, there can be errors in their processes of solving a problem. Keeping this fact in mind, the experts have also solved the questions and provided detailed solutions with step by step explanation. Experienced professionals have further checked the answers to ensure the answers are foolproof. . Thus, students will find the questions and the solutions in the Important Questions Class 6 Maths Chapter 3.
• The experts have tried to include every kind of question that is usually expected  in exams from the chapter. They have also included questions from past years’ question papers to provide an idea of possible types of questions in exams. Apart from this, they have given the answers in the Chapter 3 Class 6 Maths Important Questions so that students check the answers and solve their doubts. Thus, if students follow the question series, it will increase their confidence, strengthen their knowledge of maths and help them in their  performance.

Extramarks subject experts understand the importance of solving important questions and we take our role seriously to provide the best resource to the students and help them excel in academics We provide a large variety of study materials. Like the Maths Class 6 Chapter 3 Important Questions, you will find important questions from other chapters of Maths Class 6. Register on the official website of Extramarks to access  a wide range of materials like the CBSE syllabus , NCERT books, CBSE sample papers, CBSE past years’ question papers, NCERT exemplar, NCERT solutions, vital formulas and much  more. The links to the following study materials are given below –

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Q.1 A greatest 3 ?digit number exactly divisible by 8, 10 and 14 is:

The prime factors of 8 = 2 × 2 × 2

The prime factors of 10 = 2 × 5

The prime factors of 14 = 2 × 7

LCM of 8, 10 and 14 = 2 × 2 × 2 × 5 × 7

The greatest number of 3 digits is 999.

999/280 gives, quotient = 3, remainder = 159

Therefore, the greatest 3-digit number exactly divisible by 8, 10 and 12 = 999 ? 159 = 840.

Q.2 Rajesh bought two barrels of oil of capacities 75 litres and 69 litres. The maximum capacity of a container, which can measure the oil in exact number of times, is

The prime factors of 75 = 3 × 5 × 5

The prime factors of 69 = 3 × 23

HCF of 75 and 69 is 3.

Therefore, the maximum capacity of a container used to measure the oil in exact number of times is 3 litres.

Q.3 Which of the following are co-prime numbers?

The common factor of 7 and 14 is 7, so these are not co-primes.

The common factor of 8 and 24 is 8, so these are not co-primes.

The common factor of 15 and 21 is 3, so these are not co-primes.

The common factor of 7 and 15 is 1, so these are co-primes.

Q.4 What is the HCF of two prime numbers?

The HCF of two prime numbers is 1.

Q.5 Find the prime factorisation of 96.

2 96 2 48 2 24 2 12 2 6 2 3 1

Prime factorisation of 96 is 2 — 2 — 2 — 2 — 2 — 3

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Cbse important questions for class 6 maths, chapter 1 - knowing our numbers.

Chapter 2 - Whole 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, faqs (frequently asked questions), 1. what does class 6 maths chapter 3 contain.

Chapter 3 of Class 6 Maths is about the relationship between numbers. It deals with prime and compound numbers, divisibility, factors and multiples etc. It contains two main concepts- Highest Common Factor or HCF and Lowest Common Multiple or LCM. Students must practise questions from this chapter as a wide range of questions can be made from the chapter. You can follow the Important Questions Class 6 Maths Chapter 3 compiled  by our experts. Apart from questions, you will also find solutions. So, it will greatly help you in preparing for exams.

2. Is Class 6 Maths Chapter 3 tough?

Students may find this chapter a bit  difficult because it is lengthy and contains different concepts. One can take help from the Important Questions Class 6 Maths Chapter 3 to clear the concepts. Ideas like HCF and LCM may be a new concept for  the students. So, they must practise questions to get conceptual clarity. . But the chapter is not complex; students can easily understand the subject matter if they sincerely follow the textbook and practice regularly.

3. How can the Important Questions Class 6 Maths Chapter 3 help students?

Students must practise questions as much as possible to score better in exams. The experts of Extramarks have collected all types of questions from different sources and provided the solutions with a step-by-step process.  Experts  have taken help from the NCERT textbook, CBSE past years’ question papers and NCERT exemplar to collect the questions. Thus, students will find different questions and solutions in the Important Questions Class 6 Maths Chapter 3. It will help them to improve their mathematical skills and problem-solving ability to get a 100% score in Maths. Register yourself now and get started now without any further delay.

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NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers

NCERT Solutions for class 6 maths chapter 3 Playing With Numbers will help students study the topics, such as multiples, divisor, factors, and the identification of factors and multiples. In the previous two chapters, we studied whole numbers and natural numbers. With the help of this chapter, we will take a step ahead and learn the meaning of factors and multiples of a number. NCERT Solutions Class 6 maths chapter 3 consists of activities related to these concepts that make learning super easy.

With the help of the exercise questions, students will be able to find out the factors of a number using different methods. They will also be able to comprehend the application of these concepts in their day-to-day lives. Class 6 Maths NCERT Solutions Chapter 3 Playing with Numbers has a total of 7 exercises. With the help of this article, we will do an in-depth analysis of NCERT Solutions Class 6 Maths Chapter 3, and also you can find some of these in the exercises given below.

• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.1
• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.2
• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.3
• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.4
• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.5
• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.6
• NCERT Solutions Class 6 Maths Chapter 3 Ex 3.7

NCERT Solutions for Class 6 Maths Chapter 3 PDF

One of the key concepts covered in the NCERT solutions class 6 maths is finding the factors of a number in a stepwise manner. The only way students can get a good grasp of the concepts is by solving all the questions given in this coursebook. The NCERT Solutions for Class 6 Maths Chapter 3 are free to download using the links given below:

☛ Download Class 6 Maths NCERT Solutions Chapter 3 Playing with Numbers

NCERT Class 6 Maths Chapter 3   Download PDF

The best way to get strong fundamentals in maths is by practicing many questions on a regular basis. Thus, students need to visit the above links from time to time and revise all the questions. Numbers are everywhere, be it time, date, year, and weather; we use numerals to count things. We utilize numbers for counting money, measurements , phone numbers, phone passwords, locks, reading, page numbers, and TV channels. Engineers utilize numbers in their calculations when creating structures and roadways. They are also used by doctors to check blood counts and administer medications. With such wide applications of numbers , it is important for us to study the numbers in detail. An elaborate analysis of NCERT Solutions Class 6 Maths Chapter 3 is given below :

• Class 6 Maths Chapter 3 Ex 3.1 - 4 Questions
• Class 6 Maths Chapter 3 Ex 3.2 - 9 Questions
• Class 6 Maths Chapter 3 Ex 3.3 - 6 Questions
• Class 6 Maths Chapter 3 Ex 3.4 - 7 Questions
• Class 6 Maths Chapter 3 Ex 3.5 - 12 Questions
• Class 6 Maths Chapter 3 Ex 3.6 - 3 Questions
• Class 6 Maths Chapter 3 Ex 3.7 - 11 Questions

☛ Download Class 6 Maths Chapter 3 NCERT Book

Topics Covered: The topics covered under class 6 maths NCERT solutions chapter 3 are multiples , divisors , factors , identification of multiples, and factors. We will also learn how to determine if a number is prime or composite using the factors. Apart from that, we will explore how to find the HCF and LCM using the factors method.

Total Questions: Class 6 maths chapter 3 Playing with Numbers has 52 questions in total out of which 30 can be classified as easy short answer sums, 15 are long answer type problems while the other 7 are complex problems.

List of Formulas in NCERT Solutions Class 6 Maths Chapter 3

NCERT solutions class 6 maths chapter 3 does not consist of any formulas however there are some important concepts discussed in the chapter related to finding the HCF, LCM, and factors of numbers. We will discuss these essential concepts in this section.

• A prime number is any number other than 1 that has only two factors: 1 and the number itself. Composite numbers are those that have more than two factors. Number one is neither composite nor prime.
• If two numbers are divisible by a number, their sum and difference are likewise divisible by the same number.
• The Highest Common Factor (HCF) of two or more numbers is the highest common factor among them.
• The Least Common Multiple (LCM) of two or more numbers is the smallest of their common multiples.

Important Questions for Class 6 Maths NCERT Solutions Chapter 3

FAQs on NCERT Solutions for Class 6 Maths Chapter 3

Why are ncert solutions class 6 maths chapter 3 important.

NCERT solutions class 6 Maths Chapter 3 are designed by subject experts from IIT and Cambridge university. This chapter will help you understand the prime role that different numbers and their multiples play in solving an equation. These solutions also include various questions based on the laws of divisibility which are explained in detail. The NCERT solutions class 6 maths chapter 3 are the perfect study material for class 6 students as it will help them review their answers and also provide a step-wise approach to solve all questions.

Do I Need to Practice all Questions Provided in Class 6 Maths NCERT Solutions Playing with Numbers?

It is crucial for the students to practice all the questions in NCERT Solutions Class 6 Maths Playing With Numbers. This will help them understand the concepts better and build confidence, thus enabling them to memorize formulas faster. The main highlight of this chapter is HCF and LCM, and it is essential to practice all of the questions related to these topics. All the problems cover a variety of subject matter, thus allowing students to get a better grasp of numbers.

What are the Important Topics Covered in NCERT Solutions Class 6 Maths Chapter 3?

All the topics covered in NCERT Solutions Class 6 Maths Chapter 3 are equally important. However, to streamline the studying process, students need to give ample time in preparing questions based on HCF, LCM, and factors. Additionally, they must also go through the entire theory of the chapter to understand the concepts better.

How Many Questions are there in Class 6 Maths NCERT Solutions Chapter 3 Playing With Numbers?

There are 52 questions in the NCERT Solutions Class 6 Maths Chapter 3 Playing With Numbers. These are divided into seven different exercises. Exercise 3.6 and 3.7 are the most important exercises from an examination perspective, covering important topics like the prime factors, HCF, and LCM of numbers. Since these concepts are new to students, they should engage in activities to understand these concepts in a more practical way.

What are the Important Formulas in NCERT Solutions Class 6 Maths Chapter 3?

Students will come across many important concepts in the NCERT Solutions Class 6 maths chapter 3. We do not have any important formulas in this chapter; however certain facts like every number is a factor and multiple will help them understand the prime role that different numbers and their multiples play in solving an equation. Students must go through all the questions and solve the examples in order to develop a rock-solid foundation.

How CBSE Students can utilize NCERT Solutions Class 6 Maths Chapter 3 effectively?

To effectively utilize the NCERT Solutions Class 6 Maths Chapter 3, kids must first go through the theoretical concepts and activities discussed in the chapter. Topics such as common factors and multiples, divisibility laws, greatest common factors, lowest common factors, etc., are introduced to the kids. Students will be able to understand prime and composite numbers, as well as their differences, provided they have a thorough understanding of the chapter. This will help students identify practical ways of solving a problem.

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers are provided below. Our solutions covered each questions of the chapter and explains every concept with a clarified explanation. It helps the students to understand slowly and to get practice well to become perfect and again a good score in their examination.

These materials are prepared based on Class 6 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration. Further, all the CBSE Class 6 Solutions Maths Chapter 3 Playing With Numbers are in accordance with the latest CBSE guidelines and marking schemes

Class 6 Maths Chapter 3 Exercise 3.1 Solutions

Class 6 Maths Chapter 3 Exercise 3.2 Solutions

Class 6 Maths Chapter 3 Exercise 3.3 Solutions

Class 6 Maths Chapter 3 Exercise 3.4 Solutions

Class 6 Maths Chapter 3 Exercise 3.5 Solutions

Class 6 Maths Chapter 3 Exercise 3.6 Solutions

Class 6 Maths Chapter 3 Exercise 3.7 Solutions

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers

September 10, 2019 by phani

Free download NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1, Ex 3.2, Ex 3.3, Ex 3.4, Ex 3.5, Ex 3.6 and Ex 3.7 Playing with Numbers PDF for CBSE 2020 Exams.

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NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers

• Exercise 3.1 Chapter 3 Class 6 Maths NCERT Solutions
• Exercise 3.2 Chapter 3 Class 6 Maths NCERT Solutions
• Exercise 3.3 Chapter 3 Class 6 Maths NCERT Solutions
• Exercise 3.4 Chapter 3 Class 6 Maths NCERT Solutions
• Exercise 3.5 Chapter 3 Class 6 Maths NCERT Solutions
• Exercise 3.6 Chapter 3 Class 6 Maths NCERT Solutions
• Exercise 3.7 Chapter 3 Class 6 Maths NCERT Solutions

NCERT Solutions for Class 6 Maths Chapters:

How many exercises in Chapter 3 Playing with Numbers?

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6th Class Mathematics Playing with Numbers Question Bank

Done playing with numbers total questions - 58.

question_answer 1) What are the numbers which have more than two factors called?

A)  Even numbers done clear

B)  Prime numbers done clear

C)  Composite numbers   done clear

D)  Odd numbers done clear

question_answer 2) What are the numbers which have only two factors (1 and the number itself) called?

A)  Composite numbers done clear

B)  Even numbers done clear

C)  Prime numbers   done clear

question_answer 3) Which is the number that is neither prime nor composite?

A)  0                                             done clear

B)  1   done clear

C)  2                             done clear

D) 5 done clear

question_answer 4) Which of the following is the L.C.M. of 36 and 72?

A) 36                                          done clear

B) 72   done clear

C) 108                        done clear

D) 2 done clear

question_answer 5) What is the L.C.M. of 17 and 5?

A) 105                                        done clear

B) 95 done clear

C) 85                            done clear

question_answer 6) What is the H.C.F. of 17 and 5?

A) 1                               done clear

B) 5 done clear

C) 17                          done clear

D) 85 done clear

question_answer 7) Give an example for twin primes.

A) 5, 11                      done clear

B) 3, 5   done clear

C) 11, 17   done clear

D) 3, 7 done clear

question_answer 8) What is the H.C.F. of two co-prime numbers?

A)  1                                               done clear

B)  0 done clear

C)  2                                             done clear

D)  4 done clear

question_answer 9) Which of the following is an example of an even number?

A) 10351   done clear

B) 20989 done clear

C) 69007   done clear

D) 973572   done clear

question_answer 10) What is the H.C.F. of 120, 144 and 216 ?

A) 38                          done clear

B) 24   done clear

C) 120                        done clear

D) 144 done clear

question_answer 11) What do you get when you multiply two factors?

A) Sum                      done clear

B) Product   done clear

C) Difference         done clear

D) Quotient done clear

question_answer 12) Every number is a _____ and a _____ of itself.

A)  factor, multiple   done clear

B)  prime, composite done clear

C)  even, odd done clear

D)  prime, twin prime done clear

question_answer 13) What are the numbers which are multiples of 2 called?

A)  Odd numbers done clear

B)  Even numbers   done clear

C)  Prime numbers done clear

D)  Composite numbers done clear

question_answer 14) What is the H.C.F. of the two numbers equal to?

A)  Product of the numbers \[\div \] their L.C.M.   done clear

B)  Product of the numbers \[\times \] their L.C.M. done clear

C)  Product of the numbers. done clear

D)  Quotient of the numbers. done clear

question_answer 15) Which of these numbers is a factor of every number ?

A) 0                                             done clear

B) 1   done clear

C) 2                             done clear

D) 4 done clear

question_answer 16) How many prime numbers are there between 1 and 50?

A)  18                                          done clear

B)  12 done clear

C)  15                            done clear

D) 20 done clear

question_answer 17) A is the 5th prime number. B is the 7th prime number. What is B - A?

A) 6                               done clear

B) 8 done clear

C) 12                                          done clear

question_answer 18) What is the number of prime numbers between 50 and 60?

A)  1                                             done clear

B)  2   done clear

C)  3                             done clear

question_answer 19) Which of the following is the prime factorisation of 140?

A) \[\text{2  }\!\!\times\!\!\text{  2  }\!\!\times\!\!\text{  7}\]        done clear

B) \[\text{2  }\!\!\times\!\!\text{  2  }\!\!\times\!\!\text{  5}\] done clear

C) \[\text{2 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 5 }\!\!\times\!\!\text{ 7}\]                done clear

D) \[\text{2 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 5 }\!\!\times\!\!\text{ 7 }\!\!\times\!\!\text{ 3}\] done clear

question_answer 20) The successor of every even number is

A) even     done clear

B) prime done clear

C) odd                         done clear

D) composite. done clear

question_answer 21) What is the sum of the first five multiples of 6?

A) 90                            done clear

B) 60 done clear

C) 30                          done clear

D) 120 done clear

question_answer 22) What is the smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively?

A) 1394                        done clear

B) 1404 done clear

C) 1664      done clear

D) 1406 done clear

question_answer 23) What is the least number which when decreased by 7 is exactly divisible by 12, 16, 18, 21 and 28?

A) 1012                      done clear

B) 1008 done clear

C) 1015        done clear

D) 1022 done clear

question_answer 24) What is the greatest 4-digit number exactly divisible by 12, 15, 20 and 35?

A)  9999                      done clear

B)  9660   done clear

C)  9832                      done clear

D)  9860 done clear

question_answer 25) Four bells ring at intervals of 6, 7, 8 and 9 seconds respectively. After how many seconds do all the bells ring together?

A) 504                          done clear

B) 516 done clear

C) 508                        done clear

D) 512 done clear

question_answer 26) What is the greatest number that divides 37,50 and 123 leaving remainders 1,2 and 3 respectively?

A) 9                             done clear

B) 10 done clear

C) 15                          done clear

D) 12   done clear

question_answer 27) A number is always divisible by 90 if

A)  it is divisible by both 2 and 45. done clear

B)  it is divisible by both 5 and 18. done clear

C)  it is divisible by both 9 and 10. done clear

D)  All the above.   done clear

question_answer 28) Statement-I: 1 is a factor of every number. Statement-II: 2 is the first prime number. Which of the following options is correct?

A) I only                    done clear

B)  II only done clear

C)  Both I and II         done clear

D) Neither I nor II done clear

question_answer 29) Which of the following numbers is divisible by 11?

A) 3,116,365            done clear

B) 901,351   done clear

C) 8,790,322            done clear

D) 311,136 done clear

question_answer 30) Which of the following numbers is a perfect number?

A) 6                             done clear

B) 28 done clear

C) 6 and 28                done clear

D) 34 done clear

question_answer 31) Every even number greater than 4 can be expressed as a sum of two odd prime numbers. Which of the following is an example for this statement?

A) 8 = 1 + 7               done clear

B) 8 = 3 + 5   done clear

C) 4 = 1 + 3               done clear

D) 4 = 2 + 2 done clear

question_answer 32) What is the least value that should be given to * so that the number 653*47 is divisible by 11?

B) 6 done clear

D) 1   done clear

question_answer 33) The L.C.M. of 64 and 48 is 192.What is the H.C.F. of these numbers?

A) 16                                            done clear

B) 24 done clear

C) 8                                             done clear

D) 12 done clear

question_answer 34) What is the prime factorisation of 143?

A)  \[\text{2 }\!\!\times\!\!\text{ 11 }\!\!\times\!\!\text{ 13}\]       done clear

B) \[\text{11 }\!\!\times\!\!\text{ 13}\]   done clear

C)  \[\text{2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 7}\]            done clear

D) \[\text{1 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 7}\] done clear

question_answer 35) The L.C.M of two numbers is 3718. Which of the following numbers CANNOT possibly be the H.C.F of these numbers?

A) 13                          done clear

B) 26 done clear

C) 104                          done clear

D) 143 done clear

question_answer 36) The answers of four students A, B, C and D for prime factorisation of 24 are given. Whose answer is wrong?

A) \[\text{2}\times \text{2}\times \text{2}\times \text{3}\]             done clear

B) \[\text{8 }\!\!\times\!\!\text{ 3}\]   done clear

C) \[\text{3 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 2}\]              done clear

D) \[\text{2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 2}\] done clear

question_answer 38) Find a number which is a multiple of all the numbers from 1 to 10?

A) 5040        done clear

B) 1260 done clear

C) 720                        done clear

D) 1440 done clear

A) 121                        done clear

B) 81 done clear

C) 100                        done clear

D) 64   done clear

question_answer 40) How many factors does 48 have?

A) 2                             done clear

B) 4 done clear

C) 8                             done clear

D) 10   done clear

A)  10                                          done clear

B)  7 done clear

C)  5                             done clear

D) 8   done clear

A)  2                                               done clear

B)  4 done clear

C)  6                             done clear

D) 8 done clear

question_answer 43) Which of the following is a prime number?

A) 117                        done clear

B) 171 done clear

C) 179                          done clear

question_answer 44) Which of the following is a composite number?

A) 23                          done clear

B) 29 done clear

C) 32                            done clear

D) 13 done clear

question_answer 45) Which of the following products is an odd number?

A)  \[\text{even  }\!\!\times\!\!\text{  odd  }\!\!\times\!\!\text{  even}\] done clear

B)  \[\text{odd  }\!\!\times\!\!\text{  odd  }\!\!\times\!\!\text{  even}\] done clear

C)  \[\text{even  }\!\!\times\!\!\text{  even  }\!\!\times\!\!\text{  even}\] done clear

D)  \[\text{odd  }\!\!\times\!\!\text{  odd  }\!\!\times\!\!\text{  odd}\]   done clear

question_answer 46) What is the greatest number which divides 134 and 167 leaving 2 as remainder in each case?

A)  34                                          done clear

B)  37 done clear

C)  39                                          done clear

D)  33   done clear

question_answer 47) What is the L.C.M. of 12, 15, 20 and 27?

A) 270                        done clear

B) 360 done clear

C) 480                        done clear

D) 540   done clear

question_answer 48) If a and bare co-primes, then what is their L.C.M.?

A) 1                             done clear

B) \[\frac{\text{a}}{\text{b}}\] done clear

C) \[\text{ab}\]                       done clear

D) \[\text{a + b}\] done clear

question_answer 49) Three bells toll together at intervals of 9, 12 and 15 minutes. If they start toiling together, after what time will they toll next?

A) 1 hour  done clear

B) \[\text{1}\frac{1}{2}\]hours done clear

C) \[2\frac{1}{2}\] hours    done clear

D) 3 hours   done clear

question_answer 50) Observe the given multiples of 37. \[\underline{\begin{align}   & \underline{\begin{align}   & \text{37  }\times \text{  3=111} \\  & \text{37  }\times \text{  6 = 222} \\  & \text{37  }\times \text{  9 = 333} \\  & \text{37  }\times \text{  12=444} \\ \end{align}} \\  &  \\ \end{align}}\] Find the product of\[\text{37 }\!\!\times\!\!\text{ 27}\].

A)  999 done clear

B)  The greatest 3 digit number. done clear

C)  Both [a] and [b]   done clear

D)  The smallest 3-digit number. done clear

question_answer 51) The lowest common multiple of 8,16 and p is 48. What is the possible value of p?

A)  64                          done clear

B)  24   done clear

D) 32 done clear

question_answer 52) 67, 61, p, q, r, s, 41 is an arrangement of prime numbers in decreasing order. Among the following, which is the number 53?

A) p                            done clear

B) r done clear

C) q                              done clear

D) s done clear

question_answer 53) The sum of all the prime factors of m is 9. Find the number m.

A) 15                          done clear

C) 20                                            done clear

D) 63 done clear

question_answer 54) Which of the following is the least perfect square which is divisible by 3,4,5,6 and 8?

A) 900                        done clear

B) 2500 done clear

C) 1200      done clear

D) 3600   done clear

question_answer 55) What is the L.C.M. of X and Y if X is the first odd prime number and Y is the only even prime number?

B) 2 done clear

question_answer 56) Given that (p + 3) is the highest common factor of 81 and 108, find the value of p.

B) 9 done clear

C) 12                          done clear

D) 24   done clear

question_answer 57) Identify the H.C.F. of the first even number and the fifth composite number.

A) 10                          done clear

B) 2   done clear

C) 20                          done clear

question_answer 58) What is the possible value of the product of P and Q, given that their H.C.F is 12 and L.C.M is 120?

A) 1200      done clear

B) 120 done clear

C) 1440        done clear

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Case Study Questions for Class 6 Maths

• Last modified on: 12 months ago
• Reading Time: 7 Minutes

Table of Contents

Here in this article, we are providing case study questions for class 6 maths.

Maths Class 6 Chapter List

Latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

Old Chapter List

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

Deleted Chapter:

Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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Home » 6th Class » RD Sharma Solutions for Class 6 Maths Chapter 2 Playing with Numbers

RD Sharma Solutions for Class 6 Maths Chapter 2 Playing with Numbers

RD Sharma Solutions for Class 6 Maths Chapter 2 Playing with Numbers has been published. You can download the RD Sharma Class 6 Chapter 2 Solutions PDF here from aglasem. Mathematics experts have solved questions of Playing with Numbers from latest edition to publish this RD Sharma Solutions for Class 6 . Therefore these RD Sharma Solutions tell you best way to solve all Chapter 2 exercise, MCQs, extra questions.

The RD Sharma Class 6 Chapter 2 Playing with Numbers Solutions is the compilation of questions, answers, and stepwise solving process for all questions asked in the Chapter 2 titled Playing with Numbers in the latest RD Sharma Maths textbook. As this chapter has number of exercises. Therefore we have provided following exercise wise RD Sharma solutions for Chapter 2.

• Chapter 2 Ex 2.1
• Chapter 2 Ex 2.2
• Chapter 2 Ex 2.3
• Chapter 2 Ex 2.4
• Chapter 2 Ex 2.5
• Chapter 2 Ex 2.6
• Chapter 2 Ex 2.7
• Chapter 2 Ex 2.8
• Chapter 2 Ex 2.9
• Chapter 2 Ex 2.10
• Chapter 2 Ex 2.11
• Chapter 2 MCQ

RD Sharma Solutions for Class 6

If you are in class 6th, then you study more chapters from RD Sharma maths book, in addition to Playing with Numbers. Therefore you may be looking for solutions of those too. Following are the RD Sharma class 6 solutions for the entire maths book.

• Chapter 1 – Knowing Our Numbers
• Chapter 2 – Playing with Numbers
• Chapter 3 – Whole Numbers
• Chapter 4 – Operations on Whole Numbers
• Chapter 5 – Negative Numbers and Integers
• Chapter 6 – Fractions
• Chapter 7 – Decimals
• Chapter 8 – Introduction to Algebra
• Chapter 9 – Ratio, Proportion and Unitary Method
• Chapter 10 – Basic Geometrical Concepts
• Chapter 11 – Angles
• Chapter 12 – Triangles
• Chapter 13 – Quadrilaterals
• Chapter 14 – Circles
• Chapter 15 – Pair of Lines and Transversal
• Chapter 16 – Understanding Three Dimensional Shapes
• Chapter 17 – Symmetry
• Chapter 18 – Basic Geometrical Tools
• Chapter 19 – Geometrical Constructions
• Chapter 20 – Mensuration
• Chapter 21 – Data Handling
• Chapter 22 – Data Handling
• Chapter 23 – Data Handling

The RD Sharma Solutions are highly sought after study material in India. This is because of the popularity of RD Sharma maths book. On one hand RD Sharma book PDF helps you study board recommended topics in mathematics. Whereas on the other hand the RD Sharma solutions help you solve the difficult back exercise questions, examples, and MCQs. Following are the solutions for all classes.

RD Sharma Solutions Class 6 Chapter 2 Playing with Numbers PDF

You must be looking for PDF of the RD Sharma Class 6 Chapter 2 Playing with Numbers solutions. Following are the key details.

• You can download RD Sharma Class 6 Playing with Numbers solutions PDF at aglasem from links above.
• The portable document format of this class 6 Playing with Numbers solutions contain questions and answers by exercise.
• Thus there is one class 6 solutions PDF for each exercise of this chapter 2.
• Moreover the Playing with Numbers solutions PDF contain solved questions in ascending order of question number.

RD Sharma Solutions for Class 6 Maths Chapter 2 Playing with Numbers – An Overview

Following are the highlights of this book solutions.

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RD Sharma Solutions for Class 6 Maths Chapter 19 Geometrical Constructions

Rd sharma solutions for class 6 maths chapter 22 data handling, related posts.

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• RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers
• RD Sharma Solutions

RD Sharma Solutions for Class 6 Maths Chapter 2 - Free PDF Download

Download free PDF of RD Sharma Solutions for Class 6 Maths Chapter 2 - Playing with Numbers solved by expert mathematics teachers at Vedantu .com and also right here. These exercise questions have been provided with solutions to help you to revise the complete syllabus and score more increased marks. 

Vedantu’s RD Sharma Class 6 Maths Solutions is a very valuable resource for students of Class 6. The RD Sharma Class 6 Maths Solutions include answers to every question except the ones which are not in the syllabus. These Class 6 maths solutions have been provided by the most skilled teachers. It has been prepared in a way students will find it extremely easy to understand the problems and how to answer them. 

Effective Tips to Study Maths with RD Sharma Class 6 Maths Solutions for Chapter 2 Playing with Numbers

Mathematics is a subject you should learn through practice. Writing down the solutions and understanding them is better than mindlessly memorizing them.

Try starting to solve the simple problems first and then go for the complex questions.

Clear all your doubts. Even the smallest of your doubts can get complicated if not cleared.  

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 6 RD Sharma Chapter 2 - Playing with Numbers. All the Exercise questions with solutions in Chapter 2 - Playing with Numbers are given below:

Exercise 2.1

Exercise 2.2

Exercise 2.3

Exercise 2.4

Exercise 2.5

Exercise 2.6

Exercise 2.7

Exercise 2.8

Exercise 2.9

Exercise 2.10

Exercise 2.11

This chapter covers; Prime numbers Even numbers Odd numbers Whole numbers Natural numbers Composite numbers

FAQs on RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers

1. Why should you opt for RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers?

A subject like Mathematics isn’t often a favorite among the students. However, with RD Sharma Solutions for CBSE Class 6 Maths, students will find the subject much more interesting and gain motivation in preparing for the exams. These study materials will help clear many doubts of the students as well as improve their time management problem-solving capabilities.

2. How can I prepare for my board exams with RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers?

All that you’ll need to do is visit the official website of Vedantu and you will get to see the PDF version of the solutions provided by our experts. You can always practice these solutions over and over again to manage time better and have some knowledge about the marketing strategies and the question paper.

3. Why should I use the RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers?

Students should use the RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers provided by Vedantu because they are easy to understand. You can download the RD Sharma Maths Book Class 6 Solutions PDT for free to understand the concepts well. You can find answers to all the exercises and learn the formulas properly and refer to them whenever you want. These solutions are free at cost and are 100% reliable as they are prepared by specialists. 

4. In Class 6 Maths, which are the most important topics to focus on for the exams?

Class 6 of Maths has a total of 14 chapters. Some of the chapters need more time and practice than the others like Chapter 10- Mensuration and Chapter 12- Ratio and Proportion. Therefore, students need to concentrate more on these two chapters to score excellent marks. 

5. Is it sufficient if I study only from the RD Sharma Class 6 Maths Solutions Chapter 2 - Playing with Numbers?

Yes, it is sufficient if you study and prepare for the questions from the Class 6 Maths RD Sharma book. RD Sharma’s books are published by subject matter experts and are accurate. They follow the latest guidelines of CBSE and its exam patterns. Though, practicing all the questions thoroughly and understanding the concept is important. To check the solutions, students can download the RD Sharma Maths Book Class 6 Solutions PDF for free.

6. Why should the students solve Class 6 Maths Questions?

Solving mathematic questions with understanding can sharpen your brain. Regular practice of maths can be proven helpful in the future when you would have to apply it in your practical daily life. Vedantu provides Class 6 Maths RD Sharma Solutions with clear and better explanations for the students in PDF form. The skillful teachers have put the syllabus into a simple and comfortable format intending to make it easy for the students.

7. Are the RD Sharma Solutions for Class 6 Maths provided by Vedantu free of cost?

Yes, RD Sharma Solutions for Class 6 Maths provided by Vedantu are free of cost. All the students need to do is download the PDF on their computers or mobile phones. You can visit the page on Maths Book Class 6 Solutions pdf free download on the Vedantu website (vedantu.com). Click on any of the chapters you want and have access to the solutions. The solutions are both in Hindi and English medium. You can also save them and refer to them whenever you have doubts or queries.

RD Sharma Class 6 Maths Solutions

Question and Answer forum for K12 Students

MCQ Questions for Class 6 Maths Chapter 3 Playing with Numbers with Answers

We have compiled the NCERT MCQ Questions for Class 6 Maths Chapter 3 Playing with Numbers with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 6 Maths with Answers on a daily basis and score well in exams. Refer to the Playing with Numbers Class 6 MCQs Questions with Answers here along with a detailed explanation.

Playing with Numbers Class 6 MCQs Questions with Answers

Choose the correct option.

Question 1. Which of these is the factor of 50. (a) 10 (b) 3 (c) 7 (d) 6

Answer: (a) 10

Question 2. What is the sixth multiple of 13? (a) 78 (b) 65 (c) 52 (d) 91

Answer: (a) 78

Question 3. Which of them is a prime number? (a) 13 (b) 14 (c) 28 (d) 25

Answer: (a) 13

Question 4. Which of them is a composite number? (a) 45 (b) 11 (c) 31 (d) 13

Answer: (a) 45

Question 5. The number of multiples of a given number is (a) 10 (b) 100 (c) 1000 (d) infinite

Answer: (d) infinite

Question 6. The smallest composite number is (a) 4 (b) 1 (c) 9 (d) 6

Answer: (a) 4

Question 7. What are two numbers called having only 1 as a common factor. (a) co-prime numbers (b) twin prime numbers (c) composite numbers (d) prime numbers.

Answer: (a) co-prime numbers

Question 8. The HCF of two co-prime numbers is (a) 0 (b) 3 (c) 2 (d) 1

Answer: (d) 1

Question 9. The HCF of 12 and 16 is (a) 2 (b) 4 (c) 6 (d) 1

Answer: (b) 4

Question 10. The LCM of 12 and 16 is (a) 24 (b) 48 (c) 96 (d) 32

Answer: (b) 48

Question 11. The only even number which is not a composite number is: (a) 2 (b) 4 (c) 6 (d) 8

Answer: (a) 2

Question 12. The smallest prime number is: (a) 0 (b) 1 (c) 2 (d) 3

Answer: (c) 2

Fill in the blanks

Question 1. Every multiple of a given number is greater than or equal to that …………………..

Answer: Number

Question 2. The number ………………….. is the smallest prime number and is even.

Question 3. HCF of 10 and 15 is …………………..

Question 4. First three multiples of 11 are …………………..

Answer: 11, 22, 33

Question 5. The HCF of two co-prime numbers is …………………..

Question 6. The LCM of two co-prime numbers is …………………..

Answer: Product of numbers

Question 7. If two given numbers are divisible by a number, then their ………………….. also divisible by that number.

Answer: sum

Question 8. A number is divisible by ………………….., if it is divisible by both 3 and 6.

Question 9. HCF of 11 and 44 is …………………..

Question 10. The numbers which are not multiple of 2 are called ………………….. numbers.

Answer: odd

Question 11. The numbers which are a multiple of 2 are called ………………….. numbers.

Answer: even

Question 12. First two multiples of 8 are …………………..

Answer: 8, 16

Question 13. There are ………………… prime numbers up to 100.

Question 14. Two consecutive odd prime numbers are called ……………………. primes.

Answer: Twin

Question 15. A …………………….. of a number is an exact divisor of that number.

Answer: Factor

Question 16. Every number is a factor of …………………

Answer: Itself

Match the Following

Hope the information shed above regarding NCERT MCQ Questions for Class 6 Maths Chapter 3 Playing with Numbers with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 6 Maths Playing with Numbers MCQs Multiple Choice Questions with Answers, feel free to reach us so that we can revert back to us at the earliest possible.