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Maths Formulas for Class 6 to Class 12
 BODMAS Rule
 Trigonometry Formulas
 Integration Formulas
 Determinant Formulas
 Complex Numbers Formulas
 Quadratic Equations Formulas
 Permutation and Combination Questions, Formulas and Examples
 Probability Formulas
 Trigonometric Ratios
 Height and Distance Formulas
 Total Surface Area of Cylinder, Volume of a Cylinder Formulas, Examples
 Maths Formulas for Class 12
 Maths Formulas for Class 11
 Maths Formulas for Class 10
 Maths Formulas for Class 9
 Maths Formulas for Class 8
 Maths Formulas for Class 7
 Maths Formulas for Class 6
 Geometry Formulas
Maths Formulas for Class 6
 Knowing Our Numbers Formulas for Class 6
 Whole Numbers Formulas for Class 6
 Playing with Numbers Formulas for Class 6
 Basic Geometrical Ideas Formulas for Class 6
 Integers Formulas Formulas for Class 6
 Mensuration Formulas Formulas for Class 6
 Algebra Formulas Formulas for Class 6
 Ratio and Proportion Formulas Formulas for Class 6
 Geometry Formulas for Class 6
 Properties of Whole Numbers
 Formulas Related to Number System
 Integer Properties
 Mensuration Formulas for Two Dimensional Figures
 Basic Algebra Formulas
Maths Formulas for Class 7
 Integers Formulas for class 7
 Fractions and Decimals Formulas for class 7
 Data Handling Formulas for class 7
 Lines and Angles Formulas for class 7
 The Triangle and Its Properties Formulas for class 7
 Congruence of Triangles Formulas for class 7
 Rational Numbers Formulas for class 7
 Algebraic Expressions Formulas for class 7
 Exponents and Powers Formulas for class 7
 Symmetry Formulas for class 7
Maths Formulas for Class 8
 Rational Numbers Formulas for Class 8
 Linear Equations in One Variable Formulas for Class 8
 Understanding Quadrilaterals Formulas for Class 8
 Practical Geometry Formulas for Class 8
 Data Handling Formulas for Class 8
 Squares and Square Roots Formulas for Class 8
 Cubes and Cube Roots Formulas for Class 8
 Comparing Quantities Formulas Class 8
 Algebraic Expressions and Identities Formulas Class 8
 Visualising Solid Shapes Formulas Class 8
 Mensuration Formulas Class 8
 Exponents and Powers Formulas Class 8
 Direct and Inverse Proportions Formulas Class 8
 Factorisation Formulas Class 8
 Introduction to Graphs Formulas Class 8
 Playing with Numbers Formulas for Class 8
Maths Formulas for Class 9
 Number Systems Formulas for Class 9
 Polynomials Formulas for Class 9
 Coordinate Geometry Formulas for Class 9
 Linear Equations in Two Variables Formulas for Class 9
 Introduction to Euclid’s Geometry Formulas for Class 9
 Lines and Angles Formulas for Class 9
 Triangles Formulas for Class 9
 Quadrilaterals Formulas for Class 9
 Areas of Parallelograms and Triangles Formulas for Class 9
 Circles Formulas for Class 9
 Heron’s Formula Formulas for Class 9
 Surface Areas and Volumes Formulas for Class 9
 Statistics Formulas for Class 9
 Probability Formulas for Class 9
Maths Formulas for Class 10
 Real Numbers Formulas for Class 10
 Polynomials Formulas for Class 10
 Pair of Linear Equations in Two Variables Formulas for Class 10
 Quadratic Equations Formulas for Class 10
 Arithmetic Progressions Formulas for Class 10
 Triangles Formulas for Class 10
 Coordinate Geometry Formulas for Class 10
 Introduction to Trigonometry Formulas for Class 10
 Circles Formulas for Class 10
 Areas Related to Circles Formulas for Class 10
 Surface Areas and Volumes Formulas for Class 10
 Statistics Formulas for Class 10
 Probability Formulas for Class 10
Maths Formulas for Class 12
 Relations and Functions Formulas for Class 12
 Inverse Trigonometric Functions Formulas for Class 12
 Matrices Formulas for Class 12
 Determinants Formulas for Class 12
 Continuity and Differentiability Formulas for Class 12
 Application of Derivatives Formulas for Class 12
 Integrals Formulas for Class 12
 Application of Integrals Formulas for Class 12
 Differential Equations Formulas for Class 12
 Vector Algebra Formulas for Class 12
 Three Dimensional Geometry Formulas for Class 12
 Linear Programming Formulas for Class 12
 Probability Formulas for Class 12
Important Maths Formulas  Area Formulas


 Area of a Circle Formula = π r^{2}
where
r – radius of a circle  Area of a Triangle Formula A=[latex s=2 ] \frac{1}{2} b h [/latex]
where
b – base of a triangle.
h – height of a triangle.
 Area of Equilateral Triangle Formula = [latex s=2 ] \frac{\sqrt{3}}{4} s^{2} [/latex]
where
s is the length of any side of the triangle.
 Area of Isosceles Triangle Formula = [latex s=2 ] \frac{1}{2} b h [/latex]
where:
a be the measure of the equal sides of an isosceles triangle.
b be the base of the isosceles triangle.
h be the altitude of the isosceles triangle.  Area of a Square Formula = a^{2}
 Area of a Rectangle Formula = L. B
where
L is the length.
B is the Breadth.  Area of a Pentagon Formula = [latex s=2 ] \frac{5}{2} s . a [/latex]
Where,
s is the side of the pentagon.
a is the apothem length.
 Area of a Hexagon Formula = [latex s=2 ]\frac{3 \sqrt{3}}{2} x^{2} [/latex]
where
where “x” denotes the sides of the hexagon.
Area of a Hexagon Formula = [latex s=2 ]\frac{3}{2} . d . t [/latex]
Where “t” is the length of each side of the hexagon and “d” is the height of the hexagon when it is made to lie on one of the bases of it.  Area of an Octagon Formula = [latex s=2 ] 2 a^{2}(1+\sqrt{2}) [/latex]
Consider a regular octagon with each side “a” units.
 Area of Regular Polygon Formula:
By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:
where
s is the length of any side
n is the number of sides
tan is the tangent function calculated in degrees

Area of a Parallelogram Formula = b . a
where
b is the length of any base
a is the corresponding altitudeArea of Parallelogram: The number of square units it takes to completely fill a parallelogram.
Formula: Base × Altitude  Area of a Rhombus Formula = b . a
where
b is the length of the base
a is the altitude (height).
 Area of a Trapezoid Formula = The number of square units it takes to completely fill a trapezoid.
Formula: Average width × Altitude
The area of a trapezoid is given by the formula
where
b1, b2 are the lengths of each base
h is the altitude (height)
 Area of a Sector Formula (or) Area of a Sector of a Circle Formula = [latex s=2 ]\pi r^{2}\left(\frac{C}{360}\right) [/latex]
where:
C is the central angle in degrees
r is the radius of the circle of which the sector is part.
π is Pi, approximately 3.142
Sector Area – The number of square units it takes to exactly fill a sector of a circle.  Area of a Segment of a Circle Formula
Area of a Segment in Radians [latex s=2 ]A =1 / 2 \times r^{2}(\theta\sin \theta) [/latex]
Area of a Segment in Degrees [latex s=2 ]A =\frac{1}{2} r^{2}\left(\frac{\pi}{180} \theta\sin \theta\right) [/latex]  Area under the Curve Formula:
The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.
 Area of a Circle Formula = π r^{2}

Algebra Formulas  Maths Formulas
1. [latex s=2 ]a^{2}b^{2}=(a+b)(ab)[/latex]
2. [latex s=2 ](a+b)^{2}=a^{2}+2 a b+b^{2}[/latex]
3. [latex s=2 ]a^{2}+b^{2}=(ab)^{2}+2 a b[/latex]
4. [latex s=2 ](ab)^{2}=a^{2}2 a b+b^{2}[/latex]
5. [latex s=2 ](a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2 a b+2 a c+2 b c[/latex]
6. [latex s=2 ](abc)^{2}=a^{2}+b^{2}+c^{2}2 a b2 a c+2 b c[/latex]
7. [latex s=2 ](a+b)^{3}=a^{3}+3 a^{2} b+3 a b^{2}+b^{3} ;(a+b)^{3}=a^{3}+b^{3}+3 a b(a+b)[/latex]
8. [latex s=2 ](ab)^{3}=a^{3}3 a^{2} b+3 a b^{2}b^{3}[/latex]
9. [latex s=2 ]a^{3}b^{3}=(ab)\left(a^{2}+a b+b^{2}\right)[/latex]
10. [latex s=2 ]a^{3}+b^{3}=(a+b)\left(a^{2}a b+b^{2}\right)[/latex]
11. [latex s=2 ](a+b)^{4}=a^{4}+4 a^{3} b+6 a^{2} b^{2}+4 a b^{3}+b^{4}[/latex]
12. [latex s=2 ](ab)^{4}=a^{4}4 a^{3} b+6 a^{2} b^{2}4 a b^{3}+b^{4}[/latex]
13. [latex s=2 ]a^{4}b^{4}=(ab)(a+b)\left(a^{2}+b^{2}\right)[/latex]
14. [latex s=2 ]a^{5}b^{5}=(ab)\left(a^{4}+a^{3} b+a^{2} b^{2}+a b^{3}+b^{4}\right)[/latex]
15. [latex s=2 ](x+y+z)^{2}=x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 x z[/latex]
16. [latex s=2 ](x+yz)^{2}=x^{2}+y^{2}+z^{2}+2 x y2 y z2 x z[/latex]
17. [latex s=2 ](xy+z)^{2}=x^{2}+y^{2}+z^{2}2 x y2 y z+2 x z[/latex]
18. [latex s=2 ](xyz)^{2}=x^{2}+y^{2}+z^{2}2 x y+2 y z2 x z[/latex]
19. [latex s=2 ]x^{3}+y^{3}+z^{3}3 x y z=(x+y+z)\left(x^{2}+y^{2}+z^{2}x yy zx z\right)[/latex]
20. [latex s=2 ]x^{2}+y^{2}=\frac{1}{2}\left[(x+y)^{2}+(xy)^{2}\right][/latex]
21. [latex s=2 ](x+a)(x+b)(x+c)=x^{3}+(a+b+c) x^{2}+(a b+b c+c a) x+a b c[/latex]
22. [latex s=2 ]x^{3}+y^{3}=(x+y)\left(x^{2}x y+y^{2}\right)[/latex]
23. [latex s=2 ]x^{3}y^{3}=(xy)\left(x^{2}+x y+y^{2}\right)[/latex]
24. [latex s=2 ]x^{2}+y^{2}+z^{2}x yy zz x=\frac{1}{2}\left[(xy)^{2}+(yz)^{2}+(zx)^{2}\right][/latex]
25. if n is a natural number, [latex s=2 ]a^{n}b^{n}=(ab)\left(a^{n1}+a^{n2} b+\ldots+b^{n2} a+b^{n1}\right)[/latex]
26. if n is even n = 2k, [latex s=2 ]a^{n}+b^{n}=(a+b)\left(a^{n1}a^{n2} b+\ldots+b^{n2} ab^{n1}\right)[/latex]
27. if n is odd n = 2k+1, [latex s=2 ]a^{n}+b^{n}=(a+b)\left(a^{n1}a^{n2} b+\ldotsb^{n2} a+b^{n1}\right)[/latex]
28. [latex s=2 ](a+b+c+\ldots)^{2}=a^{2}+b^{2}+c^{2}+\ldots+2(a b+b c+\ldots)[/latex]
29. [latex s=2 ]\begin{aligned}\left(a^{m}\right)\left(a^{n}\right) &=a^{m+n} \\(a b)^{m} &=a^{m} b^{m} \\\left(a^{m}\right)^{n} &=a^{m n} \end{aligned}[/latex]
30. [latex s=2 ]\begin{aligned} a^{0} &=1 \\ \frac{a^{m}}{a^{n}} &=a^{mn} \\ a^{m} &=\frac{1}{a^{m}} \\ a^{m} &=\frac{1}{a^{m}} \end{aligned}[/latex]
Root Maths Formulas
Square Root :
If x^{2} = y then we say that square root of y is x and we write √y = x
So, √4 = 2, √9 = 3, √36 = 6
Cube Root:
The cube root of a given number x is the number whose cube is x.
we can say the cube root of x by ^{3}√x
 √xy = √x * √y
 √x/y = √x / √y = √x / √y x √y / √y = √xy / y.
Fractions Maths Formulas
What is fraction ?
Fraction is name of part of a whole.
Let the fraction number is 1 / 8.
Numerator : Number of parts that you of the top number(1)
Denominator : It is the number of equal part the whole is divided into the bottom number (8).
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