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Class 6 Maths | Mathematics Class 6 | Maths Guide for Class 6 CBSE NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers are a comprehensive study material for students preparing for Class 6 mathematics exam. These NCERT Solutions are prepared by our experts to provide a proper understanding of the basic concepts included in this chapter. It includes exercise-wise solved questions along with important. Selina Solutions Concise Mathematics Class 6 are provided in PDF format, which can be downloaded by the students easily. The Solutions are formulated by the teachers at BYJU�S to boost the exam preparation of students. The main aim is to help them self analyse the areas, which require more practice, from the exam point of view. *Books Price Subject to Change BYJU'S Learning App for Class 1 to Class 12 has become the most loved and preferred educational tools for students. With its highly adaptive, engaging and effective learning programs. The personalised learning programs have been designed to adapt to the unique learning style of every st.
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Questions are ordered from easy to difficult. Note: When you click on a topic link, or an exercise link - the first question will open. To check other concepts or questions of that exercise, there is a list with arrows at the bottom of the page. You can check all the questions from it. On signing up you are confirming that you have read and agree to Terms of Service.

You can click on any exercise link to find the answer to particular question. F d If an even number is divided by 2, the quotient is always odd. F e All prime numbers are odd. F f Prime numbers do not have any factors. F g Sum of two prime numbers is always even. T h 2 is the only even prime number. T i All even numbers are composite numbers. F j The product of two even numbers is always even. What is the sum of any two a Odd numbers? Answer : b Even numbers Question 3: The numbers 13 and 31 are prime numbers.

Both these numbers have same digits 1 and 3. Find such pairs of prime numbers up to Answer: 17, 71 37, 73 79, 97 Question 4: Write down separately the prime and composite numbers less than Answer 4: Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17, 19 Composite numbers less than 20 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18 Question 5: What is the greatest prime number between 1 and 10? Answer 5: Prime numbers between 1 and 10 are 2, 3, 5, and 7.

Among these numbers, 7 is the greatest. Question 6: Express the following as the sum of two odd primes. Question 7: Give three pairs of prime numbers whose difference is 2. Answer 7: 3, 5 41, 43 71, 73 Question 8: Which of the following numbers are prime? Therefore, it is a prime number. Therefore, it is not a prime number. It is a composite number. Question 9: Write seven consecutive composite numbers less than so that there is no prime number between them.

Answer 9: Between 89 and 97, both of which are prime numbers, there are 7 composite numbers. They are 90, 91, 92, 93, 94, 95, 96 Numbers Factors 90 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 91 1, 7, 13, 91 92 1, 2, 4, 23, 46, 92 93 1, 3, 31, 93 94 1, 2, 47, 94 95 1, 5, 19, 95 96 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 Question Write five pairs of prime numbers less than 20 whose sum is divisible by 5.

Answer a Prime number b Composite number c Prime number, composite number d 2 e 4 f 2 Question 1: What is the sum of any two a Odd numbers? Answer1: a The sum of two odd numbers is even. Question 2 : Using divisibility tests, determine which of the following numbers are divisible by 4; by 8: a b c d e f g h i j Answer2: a The last two digits are Since 72 is divisible by 4, the given number is also divisible by 4.

The last three digits are Since is not divisible by 8, the given number is also not divisible by 8. As 52 is divisible by 4, the given number is also divisible by 4. Since is divisible by 8, the given number is also divisible by 8.

The last 3 digits are Since the last 3 digits are , the given number is divisible by 8. Since 59 is not divisible by 4, the given number is also not divisible by 4.

Since is not divisible by 8, the given number is not divisible by 8. Since 60 is divisible by 4, the given number is divisible by 4. Since is divisible by 8, the given number is divisible by 8. Since 84 is divisible by 4, the given number is divisible by 4. Since 72 is divisible by 4, the given number is divisible by 4. Since 00 is divisible by 4, the given number is divisible by 4. Since 50 is not divisible by 4, the given number is not divisible by 4.

Question 3: Using divisibility tests, determine which of following numbers are divisible by 6: a b c d e f g h i j Answer3: a Since the last digit of the number is 4, it is divisible by 2. On adding all the digits of the number, the sum obtained is Since 27 is divisible by 3, the given number is also divisible by 3.

As the number is divisible by both 2 and 3, it is divisible by 6. Since 16 is not divisible by 3, the given number is also not divisible by 3. As the number is not divisible by both 2 and 3, it is not divisible by 6. Therefore, the given number is also not divisible by 2. Since 15 is divisible by 3, the given number is also divisible by 3. Since 20 is not divisible by 3, the given number is also not divisible by 3. Since 30 is divisible by 3, the given number is also divisible by 3.

Since 19 is not divisible by 3, the given number is also not divisible by 3. Since 21 is divisible by 3, the given number is also divisible by 3. Since 23 is not divisible by 3, the given number is also not divisible by 3. Therefore, is divisible by The smallest multiple of 3 which comes after 19 is Therefore, the largest number is 8.

As 24 is already divisible by 3, the smallest number that can be placed here is 0. Therefore, the largest number is 9. A closest multiple of 11, which is near to 3, has to be taken. It is 11itself. A multiple of 11 has to be taken. Question 5: Which of the following numbers are co-prime? Question 6: A number is divisible by both 5 and By which other number will that number be always divisible? Question 7: A number is divisible by By what other number will that number be divisible?

Answer7: Since the number is divisible by 12, it will also be divisible by its factors i. Clearly, 1, 2, 3, 4, and 6 are numbers other than 12 by which this number is also divisible. Question 1: Which of the following statements are true? T b If a number is divisible by 9, it must be divisible by 3. T c A number is divisible by 18, if it is divisible by both 3 and 6. F d If a number is divisible by 9 and 10 both, then it must be divisible by T e If two numbers are co-primes, at least one of them must be prime.

F f All numbers which are divisible by 4 must also be divisible by 8. F g All numbers which are divisible by 8 must also be divisible by 4.

T h If a number exactly divides two numbers separately, it must exactly divide their sum. T i If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

Question 2: Here are two different factor trees for Write the missing numbers. Question 3: Which factors are not included in the prime factorization of a composite number? Answer3: 1 and the number itself Question 4: Write the greatest 4-digit number and express it in terms of its prime factors. Question 5: Write the smallest 5-digit number and express it in the form of its prime factors.

Question 6: Find all prime factors of and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors. Question 8: The sum of two consecutive odd numbers is divisible by 4.

Verify this statement with the help of some examples. Question 9: In which of the following expressions, prime factorization has been done? Question Determine if is divisible by Test the divisibility of the number by 5 and 9]. She has demonstrated amazing memorization and calculation skills at these competitions. Avantika has also consistently solved a 3x3x3 Rubik's Cube blindfolded in under 20 seconds, and solves both a 2x2x2 Rubik's Cube and standard Pyraminx in a jiffy.

Avantika's journey started young, when she was memorizing numeric tables, and did it in a jiffy. Following which, her parents enrolled her in a class for higher Math, which she aced. Her current specialty is square roots of numbers. She also shares that she wants to be the next "Shakuntala devi. She will be representing India this year in Dubai. When Avantika isn't applying her brains for Math, she's taking violin lessons and visiting Aarey forest in Mumbai, and helping plant trees.

Chirag Rathi is currently 15 years old, and has the ability to add, subtract and multiply numbers upto 20 crore so far.




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Byjus Maths Class 6 Digit