Math Formulas

Maths formulas, for all the concepts covered under different classes (6, 7, 8, 9, 10, 11, and 12), as per the CBSE syllabus are provided here by our expert teachers. To solve the mathematical problems easily, students should learn and remember the basic formulas based on certain fundamentals such as algebra, arithmetic, and geometry. Also, check with Maths Syllabus here for all classes.

Addition, subtraction, multiplication and division are easy, what if you come across derivation, calculus and geometry? You would need formulas to solve them. Here, at CoolGyan’S, you get a unique way of solving the maths problem which will make you learn how the equation came into existence, which is a way better than memorizing and applying the formula. We present you a host of formulas (more than 400) for your reference to solve all important mathematical operations and questions. Also, each formula here is given with solved examples.

List of Maths Formulas (for All Concepts)

2cosacosb Formula30-60-90 Formulas
Absolute Value FormulaAddition Formula
Algebra FormulasAlgebraic Expressions Formula
Angle FormulaAnnulus Formula
Anova FormulaAntiderivative Formula
Arc Length FormulaArccot Formula
Arctan FormulaArea Formula for Quadrilaterals
Area FormulasArea of a Circle Formula
Area of a Pentagon FormulaArea Of A Sector Of A Circle Formula
Area of a Square FormulaArea of a Trapezoid Formula
Area Of An Octagon FormulaArea of Regular Polygon Formula
Area Under the Curve FormulaArithmetic Mean Formula
Arithmetic Sequence Explicit FormulaArithmetic Sequence Formula
Arithmetic Sequence Recursive FormulaAssociative Property Formula
Asymptote FormulaAverage Deviation Formula
Average Rate of Change FormulaAxis of Symmetry Formula
Basic Math FormulasBayes Theorem Formula
Binary FormulaBinary to Decimal Formula
Binomial Distribution FormulaBinomial Expansion Formula
Binomial Probability FormulaBinomial Theorem Formula
Calculus FormulasCelsius Formula
Central Angle of a Circle FormulaCentral Limit Theorem Formula
Centroid of a Trapezoid FormulaChain Rule Formula
Change of Base FormulaChi Square Formula
Circle Graph FormulaCircumference Formula
Coefficient of Determination FormulaCoefficient of Variation Formula
Cofactor FormulaCofunction Formulas
Coin Toss Probability FormulaCombination Formula
Commutative Property FormulaCompleting the Square Formula
Complex Number Division FormulaComplex Number Formula
Complex Number Power FormulaCompound Interest Formula
Conditional Probability FormulaConfidence Interval Formula
Consecutive Integers FormulaCorrelation Coefficient Formula
Cos Inverse FormulaCos Square theta Formula
Cos Theta FormulaCos Double Angle Formula
Cosec Cot FormulaCosecant Formula
Cosine FormulaCot Half Angle Formula
Cot-Tan formulaCotangent Formula
Covariance FormulaCovariance Matrix Formula
Cp FormulaCpk Formula
Cross Product FormulaCube Formula
Cube Root FormulaCubic Equation Formula
Daily Compound Interest FormulaDe Moivre Formula
Decay FormulaDecimal to Binary Formula
Decimal to fraction FormulaDefinite Integral Formula
Degree and Radian Measure FormulaDegrees of Freedom Formula
Derivative FormulaDeterminant Formula
Diagonal FormulaDiagonal of a Cube Formula
Diagonal of Parallelogram FormulaDiagonal Of A Polygon Formula
Diagonal Of A Square FormulaDiameter Formula
Difference of Cubes FormulaDifference of Squares Formula
Difference Quotient FormulaDifferential Equations formula
Differentiation and Integration FormulaDirect Variation Formula
Direction of a Vector FormulaDiscount Formula
Discriminant FormulaDistributive Property Formula
Division FormulaDot Product Formula
Double Angle FormulasDouble Time Formula
Effect Size FormulaEllipse Formula
Empirical Probability FormulaEquation Formula
Equation of a Circle FormulaEquation of a Line Formula
Equilateral Triangle FormulaEuler Maclaurin Formula
Euler’s FormulaExponential Distribution Formula
Exponential Equation FormulaExponential Formula
Exponential Function FormulaExponential Growth Formula
Exponents FormulaF Test Formula
Factorial FormulaFactoring Formulas
Factoring Trinomials FormulaFahrenheit to Celsius Formula
Fibonacci FormulaFoil Formula
Fourier Series FormulaFrequency Distribution Formula
Frustum of a Regular Pyramid FormulaFrustum of a Right Circular Cone Formula
Function FormulasFunction Notation Formula
Gaussian Distribution FormulaGeometric Distribution Formula
Geometric Mean FormulaGeometric Sequence Formula
Geometric Series FormulaGeometry Formulas
Graph FormulaGraphs of Trigonometric Functions Formula
Great Circle FormulaGross Profit Formula
Half Angle formulaHalf Life Formula
HARMONIC MEAN FORMULAHeight of a Parallelogram Formula
Hexagon FormulaHexagonal Pyramid Formula
HYPERBOLA FORMULAHyperbolic Function Formula
Hypergeometric Distribution FormulaHypothesis Testing Formula
Implicit Differentiation FormulaInfinite Geometric Series Formula
Infinite Series FormulaIntegral Calculus Formula
Integral FormulasIntegration By Parts Formula
Integration by Substitution FormulaInterest Formula
Interpolation FormulaInterquartile Range Formula
Inverse Function FormulaInverse Hyperbolic Functions Formula
Inverse Matrix FormulaInverse Tangent Formula
Inverse Trigonometric FormulasInverse Variation Formula
Isosceles Trapezoid FormulaIsosceles Triangle Perimeter Formula
Lagrange Interpolation FormulaLateral Area Formula
Law of Cosines FormulaLaw Of Sines And Cosines Formula
Law of Sines FormulaLaw of tangent formula
LCM FormulaLimit Formula
Line of Best Fit FormulaLinear Approximation Formula
Linear Correlation Coefficient FormulaLinear Equations Formula
Linear Function FormulaLinear Interpolation Formula
Linear Regression FormulaLoan Balance Formula
Logarithm FormulaMaclaurin Series Formula
Magnitude of a Vector FormulaMargin of Error Formula
Area Of Isosceles TrianglePerimeter of Rectangle
Matrix FormulaMean Absolute Deviation Formula
Mean Deviation FormulaMean Median Mode Formula
Mean Value Theorem FormulaMidpoint Formula
Monthly Compound Interest FormulaMultiple Angle Formulas
N Choose K FormulaNatural Log Formula
Newton’s Method FormulaNormal Distribution Formula
Octagon FormulaOrthocenter Formula
Parabola FormulaParallel Line Formula
Parallelogram FormulaPartial Differential Equations
Pearson Correlation FormulaPercent Composition Formula
Percent Decrease FormulaPercent Difference Formula
Percent Error FormulaPercentage Change Formula
Percentage Decrease FormulaPercentage Formula
Percentage Increase FormulaPercentage Yield Formula
Percentile FormulaPerfect Square Formula
Perfect Square Trinomial FormulaPerimeter Formulas
Perimeter of a Kite FormulaPerimeter of a Parallelogram Formula
Perimeter of a Square FormulaPerimeter of a Trapezoid Formula
Perimeter of a Triangle FormulaPerimeter of Hexagon Formula
Perimeter of Rhombus FormulaPeriodic Formulas
Permutation FormulaPermutations And Combinations Formulas
Perpendicular Line FormulaPi Formulas
Platonic Solids FormulaPoint Gradient Formula
Point of Intersection FormulaPoint Slope Form Formula
Poisson Distribution FormulaPolygon Formula
Polynomial FormulaPopulation Mean Formula
Prime Number FormulaPrism Formula
Probability Distribution FormulaThe probability Distribution Function Formula
Probability FormulasProduct Rule Formula
Product to Sum FormulaProfit Formula
Profit Margin FormulaProportion Formula
Pyramid FormulaPythagorean Theorem Formula
Pythagorean Triples FormulaQuadratic Function Formula
Quadratic Interpolation FormulaQuadrilateral Formulas
Quartile FormulaQuotient Rule Formula
R Squared FormulaRadians to Degrees Formula
Radical FormulaRadius Formula
Radius of Curvature FormulaRate of Change Formula
Rectangle FormulaRectangular Parallelepiped Formula
Recursive FormulaReduction Formula
Regression Sum of Squares FormulaRegular Hexagon Formula
Regular Square Pyramid FormulaRegular Tetrahedron Formula
RELATIVE FREQUENCY FORMULARelative Standard Deviation Formula
Resistors in Parallel FormulaRESULTANT VECTOR FORMULA
Retention Factor FormulaRevenue Formula
Rhombus FormulaRiemann Sum Formula
Right Angle FormulaRight Triangle Formula
Root Mean Square FormulaRotation Formula
Sample Mean FormulaSample Size Formula
Sampling Error FormulaScalene Triangle Formula
Scientific Notation FormulaSecant Formula
Secant Square x FormulaSelling Price Formula
Sequences and Series FormulasSequence Formula
Series FormulaSet Formulas
SIDE ANGLE SIDE FORMULASignal to Noise Ratio Formula
Simple Interest FormulaSimpson’s Rule Formula
Sin 30 FormulaSin Cos Formulas
Sin squared x formulaSin Tan formula
Sin Theta FormulaSin to Cos Formula
Sin2x FormulaSine Cosine Tangent Formula
Sine FormulaSine Half Angle Formula
Sine Rule FormulaSkewness Formula
Slant Asymptote FormulaSlope Formula
Slope Intercept Form FormulaSlope of the Secant Line Formula
Sphere formulaSpherical Cap Volume Formulas
Spherical Sector FormulaSpherical Segment Formula
Spherical Wedge and Spherical Lune FormulaSquare Footage Formula
Square FormulaSquare Root Formula
Square Root Property FormulaStandard Deviation Formula
Standard Error FormulaStandard Form Formula
Statistical Significance FormulaStatistics Formulas
Stirling FormulaSubtraction Formulas
Sum of Arithmetic Sequence FormulaSum of Cubes Formula
Sum of Squares FormulaSUMMATION FORMULA
Surface Area FormulasSurface Area of a Cone Formula
Surface Area of a Cube FormulaSurface Area of a Cylinder Formula
Surface Area of a Prism FormulaSurface Area of a Pyramid Formula
Surface Area of a Rectangular Prism FormulaSurface Area of a Sphere Formula
Surface Area of a Square Pyramid FormulaSurface Area of a Triangular Prism Formula
Surface Area of Circle FormulaSurface Area of Hemisphere formula
Surface Area of a Rectangle FormulaT-Distribution Formula
T-Test FormulaTan Theta formula
Tan2x FormulaTangent 3 Theta Formula
Tangent Addition FormulaTangent Circle Formula
Tangent FormulaTangent Line Formula
Tangential Quadrilateral FormulaTaylor Series Formula
Temperature Conversion FormulaThe Distance Formula
Trajectory FormulaTrapezoid formula
Trapezoidal Rule FormulaTriangle Formula
Triangular Pyramid FormulaTrigonometric Function Formulas
U Substitution FormulaUniform Distribution Formula
Unit Circle FormulaUnit Rate Formula
Unit Vector FormulaVariance Formula
Vector FormulasVector Projection Formula
Vertex FormulaVieta’s Formula
Volume Charge Density FormulaVolume Formulas
Volume of a Cone FormulaVolume of a Cube Formula
Volume Of A Cylinder FormulaVolume of a Pyramid Formula
Volume of a Rectangular Prism FormulaVolume Of A Sphere Formula
Volume of a Square Pyramid FormulaVolume of a Triangular Prism Formula
Volume of an Ellipsoid FormulaVolume of Parallelepiped Formula
Weighted Average FormulaWeighted Mean Formula
X and Y Intercept FormulaX Intercept Formula
Y Intercept FormulaZ Score Formula

The above given formulas are very helpful for students to solve problems based on them. All the formulas are also provided here with solved examples to help you understand the application of formulas.

See the Maths videos here for a more comprehensive approach to solve maths problems using formulas.

Feel free to use our directory of formulas for your homework.

Math Formulas From Class 6 to Class 12

Basic Maths Formulas

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The Math Formula Chart has all the basic math formulas, below:

  1. Square
  2. Rectangle
  1. P = 4a
  2. P = 2(l+b)
  1. Circle
  1. C = 2 (pi) r
  1. Square
  2. Rectangle
  3. Triangle
  4. Trapezoid
  5. Circle
  1. A = a2
  2. A = l x b
  3. A = ½(b x h)
  4. A = ((b1 +b2 ) x h) / 2
  5. A = π x r 2
Surface Area
  1. Cube
  2. Cylinder
  3. Cone
  4. Sphere
  1. S = 6l2
  2. CSA = 2 x π x r x h
  3. CSA = π x r x l
  4. S = 4 x π x r 2
  1. Cylinder
  2. Cone
  3. Sphere
  1. V = πr 2h
  2. V =1/3 πr 2h
  3. V = 4/3 x π x r
Pythagoras Theorema2 + b2 = c2
Distance Formulad = √[(x2 – x1)2 +(y2 – y1)2]
Slope of a linem = y2 – y1 / x2 – x1
Mid- Point FormulaM = [(x1 + x2 )/ 2 , (y1 + y2 )/ 2]
Algebraic Formula
  1. Pythagorean theorem
  2. Slope-intercept form of the equation of a line
  3. Distance formula
  4. Total cost
  5. Quadratic formula
  6. Laws of Exponents
  7. Fractional Exponents
  1. a2 + b2 = c2
  2. y = mx + c
  3. d = rt
  4. total cost = (number of units) × (price per unit)
  5. X = [-b ± √(b2 – 4ac)] /2a
  6. am x b m = (a x b)m; am x a n = (a)m+n
  7. a1/2 = √a
Trigonometric Formulas
  1. Sine Function
  2. Cosine Function
  3. Tangent Function
  1. Sin x = Opposite Side/ Hypotenuse
  2. Cos X = Adjacent Side/ Hypotenuse
  3. Tan x = Opposite Side/ Adjacent Side

Additional guidelines based on all Math formulas are given on our site. Students can also get help from our tutors who are available 24/7.

Frequently Asked Questions – FAQs

What are the basic Maths formulas?

The basic Maths formulas include arithmetic operations, where we learn to add, subtract, multiply and divide. Also, algebraic identities help to solve equations. Some of the formulas are:
(a + b)2 = a+ b+ 2ab
(a – b)2 = a+ b– 2ab
a– b2 = (a + b) (a – b)

What are the fundamental topics for formulas in Maths?

The fundamental concepts we learn for maths formulas are:
Area and perimeter of shapes
Surface areas and Volumes
Powers and exponents
Percentage, etc.

What are the important Maths formulas?

The important formulas are related to algebra, Pythagoras theorem, series and sequence, mensuration, calculus, probability and statistics, trigonometry, matrices, etc.

What are the area and perimeter formula?

The area of a shape defines the region covered by it whereas perimeter gives the total length of the outer boundary of the shape. Area is measure in square units but the perimeter is denoted by the unit of the dimension. Suppose, the formula for the area of a square is side2 sq.units. and perimeter of a square is 4(side) units.

What is a– b3 formula?

The formula for a– b3 is given by:
a– b3 = (a – b) (a+ ab + b2 )