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Maths Formulas include the formulas related to real numbers, polynomials, quadratic equations, triangles, circles, statistics, probability etc. Formulas can be quite hard to memorise. But it becomes easier if we know the process of deriving formulas from basic concept. Thus it is very important to understand the basic concepts first before jumping into identities and formulas. These formulas make it easy to solve problems quickly especially in CBSE Class 10 and Class 12 Board Examinations.
Read More: Important Formulas and Examples
List of Important Maths Formulas
Mathematics has varied sub-field ranging from the number system to complex calculus. Each topic has its one set of formulas which make it easy to solve the problems. Different topics in mathematics and respective formulas are below.
Number System Formulas
Number system is the study of different types of numbers. Whole numbers, natural numbers, real numbers, rational numbers, irrational numbers, imaginary numbers are all part of the number system. Some of the important formulas from this topic include:
- Real Numbers Formula
- Square Root Formula
- Arithmetic Mean Formula
- Difference of Cubes Formula
- Arithmetic Sequence Recursive Formula
- Cube Root Formula
- Infinite Series Formula
- LCM Formula
- Decimal to Binary Formula
- Formula for relation between AM, GM and HM
- Geometric Mean Formula
- Harmonic Mean Formula
- Geometric Series Formula
- Sequence Formula
- Sum of Arithmetic Sequence Formula
- Commutative Property Formula
- Consecutive Integers Formula
- Arithmetic Sequence Formula
- Infinite Geometric Series Formula
- Factorial Formula
- Arithmetic Sequence Explicit Formula
- Difference of Squares Formula
- Prime Number Formula
Comparing Quantities Formulas
In this topic, two quantities are compared by means of percentage, ratio and proportions. Profit, loss, simple interest and compound interest also come under this topic.
- Simple Interest Formula
- Gross Profit Formula
- Interest Formula
- Ratio Formula
- Percentage Formula
- Loss Percentage Formula
- Percent Decrease Formula
- Percentage Change Formula
- Profit and Loss Formula
- Percent Error Formula
Algebra Formulas
Algebra is known for its identities. Without algebraic identities, it would be troublesome to solve equations. Some of the important formulas in this topic are:
- Algebra Formula
- Polynomials Formula
- Pair of Linear Equation in Two Variables Formula
- Quadratic Equation Formula
- Algebraic Expressions Formula
- Binomial Expansion Formula
- Foil Formula
- Factoring Formula
- Factoring Trinomials Formula
- Vietas Formula
Coordinate Geometry Formulas
Coordinate geometry is a subset of algebra and geometry together where two-dimensional figures are represented in terms of algebraic equations. Some of the formulas in this topic include:
- Equation of a line Formula
- Construction Formula
- Midpoint Formula
- Centroid Formula
- Parabola Formula
- Slope Formula
- Arc Length Formula
- Vertex Formula
- Point Gradient Formula
- Asymptote Formula
- Great Circle Formula
- Point Slope Formula
- Point of Intersection Formula
- Hyperbola Formula
- Area Under the Curve Formula
Vector Algebra Formulas
Vector algebra is again a subset of algebra that takes into account the concept of imaginary numbers. Some of the important formulas include:
Geometry Formulas
Geometry is the study of shapes. Various physical quantities such as areas, perimeter, surface areas and volumes are calculated using formulas in geometry. Some of the important formulas include:
- Geometry Formula
- Section Formula
- Angle Formula
- Formula of Perimeter Shapes
- Volume of Cylinder Formula
- Half Angle Formula
- Pythagorean Triples Formula
- Quadrilateral Formula
- Trapezoid Formula
- Surface area of a cylinder Formula
- Circles Formula
- Area of Equilateral Triangle Formula
- Area of Kite Formula
- Surface Area of a Cone Formula
- Sphere Formula
- Area and Perimeter Formula
- Mensuration Formula
- Volume of Pyramid Formula
- Anova Formula
- Volume of Square Pyramid Formula
- Volume of Rectangular Prism Formula
- Volume of Triangular Pyramid Formula
- Trapezoidal Rule Formula
- Hexagon Formula
- SAS Formula
- Octane Formula
- Surface area of rectangular prism Formula
- Section 3D Formula
- Rectangular Parallelopiped Formula
- Surface area of Prism Formula
- Central Angle of a Circle Formula
- Pi Formula
- Multiple Angle Formula
- Perimeter of Rectangle
- Parallelogram Formula
- Platonic Solids Formula
Trigonometry Formulas
Trigonometry is the study of heights and distances using the six trigonometric functions. Some of the important formulas include:
- Cosine Formula
- Sin Cos Formula
- Inverse Trigonometric Formula
- Tan2x Formula
- Sin2x Formula
- Cos 2x Formula
- Sin squared x Formula
- Tangent Circle Formula
- 30 60 90 Triangle Formula
- 2 cos a cos b Formula
- Secant Line Formula
- Chi Square Formula
- Tangent 3 theta Formula
- Cos square theta Formula
- Cos Inverse Formula
- Cot Tan Formula
- Secant Squared X Formula
- Inverse Function Formula
- Cosec Cot Formula
- Inverse Variation Formula
- ArcTan Formula
- Arccot Formula
- Tangential Quadrilateral Formula
Statistics Formulas
Statistics is a field of mathematics that emerged out of data handling. Formulas are used to find measures such as mean, median and mode. Some of the important formulas include:
- Coefficient of Variation Formula
- Statistics Formula
- Interquartile Range Formula
- Standard Form Formula
- Cpk Formula
- Sampling Error Formula
- Frequency Distribution Formula
- Empirical Probability Formula
- Normal Distribution Formula
- Population Mean Formula
- Correlation Coefficient Formula
- Weighted Mean Formula
- F test Formula
- u substitution Formula
Logarithm Formulas
Logarithm is the inverse function to exponentiation. Some of the important formulas include:
- Logarithm Formula
- Limit Formula
- Euler’s Formula
- Discriminant Formula
- Change of Base Formula
- Perfect Square Binomial Formula
- Exponential Growth Formula
- Reduction Formula
- Double Time Formula
Calculus Formulas
Calculus is the field of mathematics that deals with continuous change. Some of the important formulas include:
- Differentiation and Integration Formula
- Definite Integral Formula
- Calculus Formula
- Determinant Formula
- Integral Formula
- Coefficient of Determination Formula
- Integral Calculus Formula
- Newton Method Formula
Probability Formulas
Probability is the study of the possibility or likely event of something happening. Some of the important formulas include:
Sets and Functions Formulas
Sets and Function chapter deals with the grouping of elements. A function is the mapping of elements from one set to another. Some of the important formulas include:
- Set Formula
- Function Notation Formula
- Fourier Series Formula
- Difference Quotient Formula
- Stirling Formula
Matrix Formulas
Matrix is the rectangular arrangement of rows and columns over which mathematical operations are performed. Some of the important formulas include:
Permutation and Combination Formulas
Permutation is the arrangement of elements and combination is the selection of elements from different groups to create another group. Some of the important formulas include:
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