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

      • 0
      • 1
      • 3
      • 2

    • 2.
      In the given figure, PA and PB are tangents to a circle centred at O. If \( \angle AOB = 130^\circ \), then \( \angle APB \) is equal to :

        • \( 130^\circ \)
        • \( 50^\circ \)
        • \( 120^\circ \)
        • \( 90^\circ \)

      • 3.
        In a class test, the sum of Anamika's marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.


          • 4.
            In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.


              • 5.
                A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.


                  • 6.
                    There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

                      • 144
                      • 2
                      • 420
                      • 272

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