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.
    The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


      • 2.
        An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

          • \(1 : 8\)
          • \(1 : 2\)
          • \(1 : 1\)
          • \(2 : 1\)

        • 3.
          Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

            • \(2\pi r^3\)
            • \(3\pi r^3\)
            • \(5\pi r^3\)
            • \(4\pi r^3\)

          • 4.
            Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
            Reason (R) : Sum of the any two irrational numbers is always irrational.

              • 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 Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Assertion (A) is false, but Reason (R) is true.

            • 5.
              Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is

                • \(10^{\circ}\)
                • \(60^{\circ}\)
                • \(45^{\circ}\)
                • \(100^{\circ}\)

              • 6.
                A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

                  • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
                  • \(314\) \(\text{cm}^{2}\)
                  • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
                  • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

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