NCERT Solutions for Class 6 Maths Chapter 3: Playing With Numbers

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Jasmine Grover

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NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers deals with questions related to prime and composite numbers, factors, multiples, divisibility Rules, common factors, common multiples, prime factorization, HCF, and LCM Formula. A number is an arithmetical value, that is expressed through a word, figure, or symbol. The numbers can be written in single digits, double digits, and three digits or in the generalized form.

Download PDF: NCERT Solutions for Class 6 Maths Chapter 3


NCERT Solutions for Class 6 Maths Chapter 3

Class 6 Maths Chapter 3 NCERT Solutions can be accessed below – 

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Important Topics in Class 6 Maths Chapter 3 

Class 6 Maths Chapter 3 Playing With Numbers has a number of important concepts which are as given below – 

  • A number system is a system of writing or expressing numbers.

According to the number system, the different types of numbers are Prime numbers, Even numbers, Odd numbers, Whole numbers, Natural numbers, and Composite numbers.
  • The factor of a number is an exact divisor of that number. 

Example: 1, 2, 3, and 6 are all factors of the number 6.

  • Perfect Numbers: A number for which the sum of all its factors is equal to twice that number is known as a perfect number

Example: Factors of 28 can be identified as 1, 2, 4, 7, 14 and 28.

  • Multiples of a number are the numbers we get on multiplying a given number by any integer.

Each multiple of a number is either greater than or equal to that number

  • Prime Numbers are all the numbers other than 1 whose only factors are 1 and the number itself.
Example: 2, 3, 5, 7, 11, 13, etc.

NCERT Solutions For Class 6 Maths Chapter 3 Exercises:

The detailed solutions for all the NCERT Solutions for Knowing Our Numbers under different exercises are as follows:


Playing With Numbers – Related Topics:

CBSE Class 6 Mathematics Study Guides:

CBSE X Related Questions

  • 1.
    Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).


      • 2.
        The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

          • 0
          • 1
          • 3
          • 2

        • 3.
          The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

            • \(2:5\)
            • \(1:2\)
            • \(2:1\)
            • \(5:2\)

          • 4.
            Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
            Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

              • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
              • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Assertion (A) is false, but Reason (R) is true.

            • 5.
              In the adjoining figure, the slant height of the conical part is :

                • 4 cm
                • 7 cm
                • 5 cm
                • 25 cm

              • 6.
                If the median of the following distribution is 32.5, then find the values of x and y.

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