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

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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 –

NCERT Solutions

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:

Is 1 a prime number?	Sum of even numbers	Divisibility Rules for 13
Missing Numbers	Greatest Common Divisor	Even and Odd Numbers
Divisor	Co-prime numbers	What are twin primes?

CBSE Class 6 Mathematics Study Guides:

Difference between in Maths	NCERT Solutions for Class 6 Maths	Maths Study Material
Algebra	Math MCQs	Geometry
Math Formula	Mensuration	Number System

CBSE X Related Questions

1.
\(17 \times 11 \times 13 + 11\) is
- a prime number.
- multiple of 17.
- a composite number.
- an odd number.
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2.
In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

37(i) Find \(m\angle AOP\).
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3.
Three coins are tossed together. The probability of getting exactly two tails is
- \(\frac{2}{8}\)
- \(\frac{1}{2}\)
- \(\frac{3}{8}\)
- 1
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4.
In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).
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5.
In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)
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6.
If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :
- \( \sqrt{3} \)
- \( \frac{4}{\sqrt{3}} \)
- \( \frac{\sqrt{3}}{2} \)
- \( 1 \)
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