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.

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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.
If $ \alpha $ and $ \beta $ are two zeroes of a polynomial $ f(x) = px^2 - 2x + 3p $ and $ \alpha + \beta = \alpha\beta $, then value of p is :
- $ -\frac{2}{3} $
- $ \frac{2}{3} $
- $ \frac{1}{3} $
- $ -\frac{1}{3} $
View Solution
2.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are
- $(x + 2), (x - 5)$
- $(x + 5), (x - 2)$
- $(x + 1), (x - 5)$
- $(x - 1), (x + 2)$
View Solution
3.
If roots of the quadratic equation $x^2 - k\sqrt{3}x + 2 = 0$ are real and equal, then value of k is
- $-2$
- $\sqrt{\frac{8}{3}}$
- $1$
- $2$
View Solution
4.
If the zeroes of the polynomial $p(x) = 2x^2 - 7x + 6$ are $\alpha$ and $\beta$, then the value of $\frac{1}{\alpha} + \frac{1}{\beta}$ is
- $\frac{7}{2}$
- $\frac{6}{7}$
- $\frac{-7}{6}$
- $\frac{7}{6}$
View Solution
5.
In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is
- $6$
- $4$
- $\pm 4$
- $3$
View Solution
6.
Which of the following graphs represents a polynomial with both zeroes being positive?
View Solution

View All

Mathematics Preparation Guides

HCF: Definition, Process, Methods, Examples

Roman numerals: Rules, Conversion, Sample Questions

Prime numbers: Definition, Properties, and Methods

Face Value and Place Value: Definition, Difference, Properties

Is ‘1’ a Prime Number?

Decimals: Definition, Expanded Form, Place Value, Types & Solved Examples

Difference Between In Maths: Comparison Articles

Co-Prime Numbers: Properties, List & Examples

Decimals: Standard Form of Numbers & Scientific Notations

Proportion Formula: Direct and Inverse Proportion, Solved Examples

Divisibility Rules: From 1 to 13, Divisibility Chart & Examples

Estimation of Numbers: Meaning, Rules & Solved Examples

Even and Odd Numbers: Definition, Difference, Properties & Solved Examples

Difference between Natural Numbers and Whole Numbers

Addition and Subtraction In Decimals, Sample Questions

Maths Formulas: List of Important Formulas

Addition Table chart 1 to 10: solved questions

Digits: History, Types & Examples

Math Study Material: Chapter-wise Topics, Formulae, NCERT Solutions

Fractions on the Number Line: Representation, Type & Examples

Mathematics NCERT Solutions

Natural Numbers and Whole Numbers: Examples, Properties and Differences

Important Formulas and Examples

NCERT Solutions for Class 6 Maths Chapter 1: Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 10: Mensuration

NCERT Solutions for Class 6 Maths Chapter 14: Practical Geometry

NCERT Solutions for Class 6 Maths Chapter 5: Understanding Elementary Shapes

NCERT Solutions for Class 6 Maths Chapter 9: Data Handling

NCERT Solutions for Class 6 Maths Chapter 12: Ratio and Proportion

NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas

NCERT Solutions for Class 6 Maths Chapter 13: Symmetry

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

NCERT Solutions for Class 6 Maths Chapter 3

Important Topics in Class 6 Maths Chapter 3

NCERT Solutions For Class 6 Maths Chapter 3 Exercises:

CBSE X Related Questions

1.
If \( \alpha \) and \( \beta \) are two zeroes of a polynomial \( f(x) = px^2 - 2x + 3p \) and \( \alpha + \beta = \alpha\beta \), then value of p is :

2.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

3.
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

4.
If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

5.
In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

6.
Which of the following graphs represents a polynomial with both zeroes being positive?

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

NCERT Solutions for Class 6 Maths Chapter 3

Important Topics in Class 6 Maths Chapter 3

NCERT Solutions For Class 6 Maths Chapter 3 Exercises:

CBSE X Related Questions

1.If \( \alpha \) and \( \beta \) are two zeroes of a polynomial \( f(x) = px^2 - 2x + 3p \) and \( \alpha + \beta = \alpha\beta \), then value of p is :

2.The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

3.If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

4.If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

5.In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

6.Which of the following graphs represents a polynomial with both zeroes being positive?

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \( \alpha \) and \( \beta \) are two zeroes of a polynomial \( f(x) = px^2 - 2x + 3p \) and \( \alpha + \beta = \alpha\beta \), then value of p is :

2.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

3.
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

4.
If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

5.
In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

6.
Which of the following graphs represents a polynomial with both zeroes being positive?