Maths Formulas For Class 6

Most of the trouble arises for the students when the examination fear kicks in. To avoid this, students need to understand the concepts and they learn to apply the necessary maths formulas required 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 grasps the basics of mathematics. Refer 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
\(\sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\)
\((\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})=a-b\)
\((a+\sqrt{b})(a-\sqrt{b})=a^{2}-b\)
\((\sqrt{a}+\sqrt{b})^{2}=a+2\sqrt{ab}+b\)
\(a^{p}a^{q}=a^{p+q}\)
\((a^{p})^{q}=a^{pq}\)
\(\frac{a^{p}}{a^{q}}=a^{p-q}\)
\(a^{p}b^{p}=(ab)^{p}\)
If a and b are integers, to rationalise the denominator of \(\frac{1}{\sqrt{a}+b}\) multiply it by \(\frac{\sqrt{a}-b}{\sqrt{a}-b}\)
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

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

Basic Algebra Formula:

Consider the simple quadratic equation \(ax^{2}+bx+c=0\)

Where, a is the coefficient of \(x^{2}\)

b is the coefficient of x

c is a constant term

The quadratic equation to find the variable x is, \(x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\)

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