## Maths Formulas for Class 6

Are you looking for Maths formulas for class 6, it means you are studying in the class of six. You are not a single student who is looking for Maths formulas for class 6. According to me, millions of students are looking for Class 6 Maths formulas. I decided to share Maths formulas for class 6 which is very important to calculate maths-related problems. These maths formulas will help you for higher studies for classes 7, 8, 9, and 10 as well as 11 and 12 also. I have categorized Maths formulas according to the chapters it means it is very easy to find maths formulas by chapter.

#### Class 6 Fractions Formulas

- \( Proper\; fraction = \frac{p}{q} \)
**Note:**Where, p > q - \( Improper\; fraction = \frac{p}{q} \)
**Note:**where, p < q - \(Mixed \;fraction = a \frac{p}{q} \)
**Note:**Combination with natural number and proper fraction - \( Like \;fractions = \frac{1}{2}, \frac{3}{2}, \frac{5}{2}, \frac{7}{2}, \frac{9}{2} \)
**Note:**Same denominator - \( Unlike\; fractions = \frac{1}{2}, \frac{3}{4}, \frac{5}{3}, \frac{7}{4}, \frac{9}{5} \)
**Note:**Different denominator - \( Product \;of\;two \;fractions = \frac{a}{b} \times \frac{p}{q} = \frac{ap}{bq} \)
- \( Reciprocal\; fractions = \frac{p}{q} = \frac{q}{p} \)
- \( Addition \;of\; fractions = \frac{a}{b} + \frac{p}{q} = \frac{qa+bp}{bq} \)
- \(Subtraction \;of\; fractions = \frac{a}{b} – \frac{p}{q} = \frac{qa-bp}{bq} \)
- \( Multiplication\; of\; fractions = \frac{a}{b} \times \frac{p}{q} = \frac{ap}{bq} \)
- \( Division\; of\; fractions = \frac{\frac{a}{b}}{\frac{p}{q}} = \frac{aq}{bp} \)

#### Class 6 Data Handling Formulas

- \( Arithmetic\; Mean = \frac{Sum\; of\; Observation}{Number\; of\; Observation} \)
- \(Range = Largest \;Observation – Smallest\; Observation\)
- \(Mode = Large \;Number\; of\; Observations\)
- \( Median = (\frac{n + 1}{2})^{th} Obserbation \)
- \( Probability = \frac{No.\; of\; Favorabl\;e outcome}{No.\; of\; all\; possible \;outcome} \)

#### Class 6 Algebra Formulas

- (a + b)
^{2}=a^{2}+ 2ab + b^{2} - (a−b)
^{2}=a^{2}−2ab + b^{2} - (a + b)(a – b)=a
^{2}– b^{2} - (x + a)(x + b)=x
^{2}+ (a + b)x + ab - (x + a)(x – b)=x
^{2}+ (a – b)x – ab - (x – a)(x + b)=x
^{2}+ (b – a)x – ab - (x – a)(x – b)=x
^{2}– (a + b)x + ab - (a + b)
^{3}=a^{3}+ b^{3}+ 3ab(a + b) - (a – b)
^{3}=a^{3}– b^{3}– 3ab(a – b)

#### Class 6 Mensuration Formulas

- \( Perimeter\; of\; a\; Square = 4 \times side \)
- \( Perimeter\; of\; a\; Rectangle = 2 (Length + Breadth)\)
- \( Area\; of\; a\; Square = Side^{2}\)
- \( Area\; of\; a\; Rectangle = Length \times Breadth \)
- \( Area\; of\; a\; Parallelogram = Base \times Height \)
- \( Area\; of\; a\; Triangle = \frac{1}{2} (Base \times Height) \)
- \( Area\; of\; a\; Circle = \pi r^{2}\)

#### Class 6 Ratio and Proportion

- A Fraction is expressed in ratio \( \frac{A}{B} \; Written \; as\; A : B \)
- An equality of two ratios is known as the proportion such that a : b = c : d it is also equal to ad = bc
- \( Value of One Article = \frac{Value of given number of article} {number of article} \)

### NCERT Solutions of Class 6 Maths by Chapters

We have listed Maths Formulas for Class 6 above, you can easily find it. Now in this Section, we link the NCERT Solutions page where you can find the solution of Maths questions one by one and by Chapters. I have shared two versions of NCERT Solution for Class 6 Maths first in the Text or PDF and the second is the video version. You must be subscribing to our Channel for NCERT Solutions.

- Chapter 1 Knowing Our Numbers
- Chapter 2 Whole Numbers
- Chapter 3 Playing with Numbers
- Chapter 4 Basic Geometrical Ideas
- Chapter 5 Understanding Elementary Shapes
- Chapter 6 Integers
- Chapter 7 Fractions
- Chapter 8 Decimals
- Chapter 9 Data Handling
- Chapter 10 Mensuration
- Chapter 11 Algebra
- Chapter 12 Ratio and Proportion
- Chapter 13 Symmetry
- Chapter 14 Practical Geometry

### Class 6 Maths Formulas by Chapters

Now, we are going to link Maths formulas by Chapter you can also find the maths formulas by chapter. You must visit chapter wise maths formulas for class 6.

- Chapter 1 Knowing Our Numbers
- Chapter 2 Whole Numbers
- Chapter 3 Playing with Numbers
- Chapter 6 Integers
- Chapter 7 Fractions
- Chapter 8 Decimals
- Chapter 9 Data Handling
- Chapter 10 Mensuration
- Chapter 11 Algebra
- Chapter 12 Ratio and Proportion

#### Summary

I have listed Maths Formulas for class 6 above. If you have any issues or doubts in the Maths formulas please let me know through comment or mail or social media channel to easily connect.