Maths Formulas are created by expert teachers from latest edition books. Basic Maths formulas enables students to complete the syllabus in a unique do-learn-do pattern of study. These mathematical formulas helps students:
- Improve Score in Board Exams and Entrance Examinations.
- Makes Complete Preparation easy on time.
- Helps you in making revision
- Mind Maps and Tables Helps you to Memories easily.
- Know their strengths and weaknesses in Mathematics formula
- Math Formulas are indispensable for students preparing for competitive Exams and Board Exams.
- Math formula empower students for hands-on practice and help them to score high both in-class exams and boards.
- Complete the syllabus on time
- Prepare for all entrance exams like JEE Main
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
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- Area of a Circle Formula = π r2
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 = a2
- 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
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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 of a Segment of a Circle Formula - 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 r2
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Algebra Formulas | Maths Formulas
1. [latex s=2 ]a^{2}-b^{2}=(a+b)(a-b)[/latex]
2. [latex s=2 ](a+b)^{2}=a^{2}+2 a b+b^{2}[/latex]
3. [latex s=2 ]a^{2}+b^{2}=(a-b)^{2}+2 a b[/latex]
4. [latex s=2 ](a-b)^{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 ](a-b-c)^{2}=a^{2}+b^{2}+c^{2}-2 a b-2 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 ](a-b)^{3}=a^{3}-3 a^{2} b+3 a b^{2}-b^{3}[/latex]
9. [latex s=2 ]a^{3}-b^{3}=(a-b)\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 ](a-b)^{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}=(a-b)(a+b)\left(a^{2}+b^{2}\right)[/latex]
14. [latex s=2 ]a^{5}-b^{5}=(a-b)\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+y-z)^{2}=x^{2}+y^{2}+z^{2}+2 x y-2 y z-2 x z[/latex]
17. [latex s=2 ](x-y+z)^{2}=x^{2}+y^{2}+z^{2}-2 x y-2 y z+2 x z[/latex]
18. [latex s=2 ](x-y-z)^{2}=x^{2}+y^{2}+z^{2}-2 x y+2 y z-2 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 y-y z-x z\right)[/latex]
20. [latex s=2 ]x^{2}+y^{2}=\frac{1}{2}\left[(x+y)^{2}+(x-y)^{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}=(x-y)\left(x^{2}+x y+y^{2}\right)[/latex]
24. [latex s=2 ]x^{2}+y^{2}+z^{2}-x y-y z-z x=\frac{1}{2}\left[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}\right][/latex]
25. if n is a natural number, [latex s=2 ]a^{n}-b^{n}=(a-b)\left(a^{n-1}+a^{n-2} b+\ldots+b^{n-2} a+b^{n-1}\right)[/latex]
26. if n is even n = 2k, [latex s=2 ]a^{n}+b^{n}=(a+b)\left(a^{n-1}-a^{n-2} b+\ldots+b^{n-2} a-b^{n-1}\right)[/latex]
27. if n is odd n = 2k+1, [latex s=2 ]a^{n}+b^{n}=(a+b)\left(a^{n-1}-a^{n-2} b+\ldots-b^{n-2} a+b^{n-1}\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^{m-n} \\ a^{m} &=\frac{1}{a^{-m}} \\ a^{-m} &=\frac{1}{a^{m}} \end{aligned}[/latex]
Root Maths Formulas
Square Root :
If x2 = 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).
We hope the Maths Formulas for Class 6 to Class 12, help you. If you have any query regarding Class 6 to Class 12 Maths Formulas, drop a comment below and we will get back to you at the earliest.