 # Maths Formulas For Class 6

Most of the trouble arises for the students when the examination fears kick in. To avoid this, students need to understand the concepts and learn to apply the necessary maths formulas to solve the difficult problems. Many of the students learnt the maths formulas properly, but they fail to apply the correct formulas for the questions asked. Use associated diagrams and graphs to remember the formulas for the condition provided. This will be good for your future learning since this technique helps to grasp the basics of mathematics. Refer to the maths formulas for class 6 to solve the problems. The topics involved in class 6 Mathematics are as follows:

• Number System
• Integers
• Fractions
• Decimals
• Mensuration
• Algebra
• Ratio and Proportion

## List of Maths formulas for class 6

 Formulas Related to Number System $$\begin{array}{l}\sqrt{ab}=\sqrt{a}\sqrt{b}\end{array}$$ $$\begin{array}{l}\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\end{array}$$ $$\begin{array}{l}(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})=a-b\end{array}$$ $$\begin{array}{l}(a+\sqrt{b})(a-\sqrt{b})=a^{2}-b\end{array}$$ $$\begin{array}{l}(\sqrt{a}+\sqrt{b})^{2}=a+2\sqrt{ab}+b\end{array}$$ $$\begin{array}{l}a^{p}a^{q}=a^{p+q}\end{array}$$ $$\begin{array}{l}(a^{p})^{q}=a^{pq}\end{array}$$ $$\begin{array}{l}\frac{a^{p}}{a^{q}}=a^{p-q}\end{array}$$ $$\begin{array}{l}a^{p}b^{p}=(ab)^{p}\end{array}$$ If a and b are integers, to rationalise the denominator of $$\begin{array}{l}\frac{1}{\sqrt{a}+b}\end{array}$$ multiply it by $$\begin{array}{l}\frac{\sqrt{a}-b}{\sqrt{a}-b}\end{array}$$
 Integer Properties : For any integers a and b, Addition of integers is commutative a + b = b + a Addition of integers is associative a + ( b + c ) = ( a + b) + c 0 is the identity element under addition a + 0 = 0 + a = a Multiplication of integers is commutative. a x b = b x a 1 is the identity element under multiplication 1 x a = a x 1 = a

### Mensuration Formulas for Two dimensional Figures

 2-Dimensional Figures Area (Sq.units) Perimeter (Units) Square $$\begin{array}{l}(side)^{2}\end{array}$$ 4 x side Triangle ½ ( b x h ) Sum of all sides Rectangle length x breadth 2 ( length + breadth ) Circle $$\begin{array}{l}\pi r^{2}\end{array}$$ $$\begin{array}{l}2\pi r\end{array}$$

### Basic Algebra Formula:

$$\begin{array}{l}ax^{2}+bx+c=0\end{array}$$

Where, a is the coefficient of

$$\begin{array}{l}x^{2}\end{array}$$

b is the coefficient of x

c is a constant term

The quadratic formula to find the variable x is,

$$\begin{array}{l}x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\end{array}$$

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