NCERT Solutions for Class 6 Maths Chapter 11: Algebra

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Jasmine Grover

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NCERT Solutions for Class 6 Maths Chapter 11 Algebra is given in this article with a detailed explanation. Algebra includes different kinds of simple mathematical operations such as addition and subtraction of integers, multiplication, and division using both variables and constants. For example, x + 20 = 0. 

Download PDF: NCERT Solutions for Class 6 Maths Chapter 11


NCERT Solutions for Class 6 Maths Chapter 11

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Important Topics in Class 6 Maths Chapter 11 

Class 6 Maths Chapter 11 covers the following concepts – 

  • Algebra is a branch of mathematics that substitute letters for numbers to find unknown variables.
It can also be understood as putting real-life variables into equations to solve them.
  •  A variable is an unknown quantity that can change in the context of a situation.

Example: For the expression 2x + 5, x is the variable.

  • Constant is a quantity having a fixed value.

Example: In 2x + 5, 5 is a constant

  • Parts of an expression that are separately formed first and then added or subtracted, are referred to as terms. 

Factors of a term refers to the quantities that can’t be further factorised.

  • The numerical factor of a given term is known as the coefficient of the term.
Example: In 2x + 5, 2 is the coefficient of the term 2x

NCERT Solutions For Class 6 Maths Chapter 11 Exercises:

The detailed solutions for all the NCERT Solutions for Algebra under different exercises are as follows:


Algebra – Related Topics:

CBSE Class 6 Mathematics Study Guides:

CBSE X Related Questions

  • 1.
    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


      • 2.
        Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


          • 3.
            A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


              • 4.
                Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


                  • 5.
                    Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


                      • 6.
                        A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

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