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Math as a subject in school has been made more friendly to students with the use of formulas. Any mathematical expression with numbers and letters, exponents, fractions and a whole lot of mathematically relevant terms help students to solve problems with ease. We’re on a quest to make formulas available to all students! ...Read MoreRead Less

- Customary Units of Weight Conversion Formulas
- Units of Time Conversion Formulas
- Powers Evaluation Formulas
- Perimeter of a Parallelogram Formulas
- Percent and Decimals Relation Formulas
- Percent and Fraction Relation Formulas
- LCM Formula
- Statistical Measures of Variation Formulas
- Measures of Variability - Mean Absolute Deviation Formulas
- Perimeter of Similar Shapes Formulas
- Supplementary and Complementary Angles Formulas
- Division Formula
- Pythagorean Triples Formula
- Surface Area Formulas
- Volume of 3-D Figures - Prisms Formulas
- Surface Area of a Triangular Prism Formulas
- Volume of Similar Solids Formulas
- Square Root Formulas
- Perimeter Formula
- Isosceles Triangle Perimeter Formulas
- Associative Property of Multiplication Formulas
- Perimeter of Hexagon Formulas
- Metric Units of Length Conversion Formulas
- Distance Speed Time Formulas
- Equilateral Triangle Formulas
- Perimeter of a Rhombus Formulas
- Units of Weight Conversion Formulas : Metric
- Perimeter of Rectangles Formulas
- Probability of Compound Events Formulas
- Volume of Cones Formulas
- Surface and Lateral Area of 3-D Figures - Cylinders Formulas
- Metric Units of Capacity Conversion Formulas
- Y Intercept Formulas
- Selling Price Formulas
- Customary Units of Capacity Conversion Formulas
- Percent Error Formula
- Distance Formulas
- Area of Polygons: Parallelogram Formulas
- Height of a Parallelogram Formulas
- Coin Toss Probability Formula
- Area Formula for Quadrilaterals
- Area of Rectangles Formulas
- Area of Rhombus Formulas
- Fractions Division Formulas
- Diagonal of Square Formulas
- Volume of Triangular Prism Formula
- Perimeter of Trapezoid Formulas
- Volume of a Square Pyramid Formulas
- Statistical Measures of Centre: Median and Mode Formulas
- X Intercept Formula
- Loss Percentage Formulas
- Circle Formulas
- Area Formulas
- Perimeter of a Kite Formula
- Area of Polygons: Triangle Formulas
- Angle Measure Formulas
- Customary Units of Length Conversion Formulas
- Graphing and Linear Equations Formulas
- Volume Formulas
- Triangular Pyramid Formulas
- Percent Equations Formulas
- Geometric Shapes - Area of Circles Formulas
- Probability Formulas
- Lateral Area Formula
- Percent Decrease Formulas
- Square Formulas
- Slope Formulas
- Right Triangle Formulas
- Surface Area of a Rectangular Prism Formula
- Exponent Formulas
- Surface Area of 3-D Figures - Pyramids Formulas
- Surface Area of 3-D Figures - Prisms and Cubes Formulas
- Area of Polygons: Trapezoid and Kite Formulas
- Associative Property Formulas
- Area Perimeter Formulas
- Mixed Numbers Multiplication Formulas
- Volume of Cylinders Formulas
- Statistical Measures of Centre - Mean of Data Formulas
- Geometric Shapes - Circumference of Circles Formulas
- Surface and Lateral Area of Pyramids Formulas
- Simple Interest Formulas
- Sum of Interior Angles of Polygons Formulas
- Fractions Multiplication Formulas
- Distributive Property Formulas
- Radius Formulas
- Distributive Property of Multiplication Formulas
- Diameter of a Circle Formula
- Surface and Lateral Area of 3-D Figures - Prisms Formulas
- Commutative Property of Multiplication Formulas
- Diagonal of Rectangle and Square Formulas
- Profit and Loss Formulas
- Adjacent and Vertical Angles Formulas
- Unit Rate Formulas
- Discounts and Markups Formulas
- Absolute Value Formulas
- Percents of Change Formulas
- Isosceles Trapezoid Formulas
- Volumes of 3-D Figures - Pyramids Formulas
- Cube Number Formula
- Volume of 3-D Figures - Rectangular Prism and Cubes Formulas
- Area of a Kite Formulas
- Angles in Parallel Lines Formulas
- Perfect Square Formula
- Cube Root Formulas
- Volume of Spheres Formulas
- Area of Similar Shapes Formulas
- Ratio Formula
- Pythagorean Theorem Formulas
- Surface Area of Similar Solids Formulas
- Hexagon Formulas
- Cone Formula

In addition to the list of formulas that have been mentioned so far, there are other formulas that are frequently used by a student in either geometry or algebra.

- Surface Area of a sphere \( =4\pi r^2 \) where r is the radius of the sphere – We’re getting back to the characteristics of a sphere and finding the surface area with the formula that has been mentioned.
- Slope-intercept form: \( y=mx+b \), m is the and b is the y-intercept. – Having already observed the point slope equation for a straight line, another popular formula is the slope intercept form in which all straight lines have an equation linked to them, \( y=mx+b \)!
- \( (a+b)^2=a^2+2ab+b^2 \) – This is probably iconic, and one of the fundamental formulas in algebra, which is the square of two variables added together!

When we talk about formulas, we expect complex expressions and numbers and exponents! Formulas actually make it easier for students to solve and understand the concepts of mathematics usually introduced to them from lower. Here is a list of a few important formulas that students from different grades apply in the classroom.

- Volume of Sphere \( =\frac{4}{3}\pi r^3 \), r is the radius – A formula that is applied to calculate the volume of a sphere, a three dimensional, circular solid.
- Area of a Circle \( =\pi r^2 \), r is the radius – If we cut a sphere in exactly two halves, we get a circle at the surface of one of the halves, and the area of the circle is calculated with the given formula.
- Perimeter of a Rectangle \( =2(l+b) \), l is the length and b is the breadth. – Now that we see the area of a circle, the perimeter is a different concept in relation to geometric shapes. The perimeter of a rectangle introduces us to the length of the boundary of a geometric shape.
- Pythagoras Theorem, \( c^2=a^2+b^2 \) where c is the length of the hypotenuse, a and b are the lengths of the other two sides of the right triangle. – Created by the great Pythagoras, a Greek mathematician, this formula mentions the relationship between the hypotenuse, the longest side of a right angled triangle, and the lengths of the other two sides.
- Sum of interior angles of a polygon \( :(n-2)\times 180^{\circ} \), where n is the number of sides. – The previous formula spoke of a right angled triangle, which is a polygon. In fact all closed shapes with three or more than three sides are polygons. And the sum of the interior angles of a polygon is calculated with the formula given.
- Point slope form: \( y-y_1=m(x-x_1) \), where m is the slope and \( (x_1,~y_1) \) are the coordinates of the point passing through the line. – Polygons are made up of straight lines and when we speak of lines, there is a way to represent a straight line in the form of one of mainly four types of equations, and this equation represents the slope, and one point on the line.
- Exponents: \( a\times a\times a\times a\ldots(n~times)=a^n \) – Moving away from geometry we have a formula that prevents us from repeated multiplication. Representing an expression that indicates repeated multiplication makes life easier for a lot of students.
- Simple Interest: \( I=Prt \) where P is the principal amount, r is the rate of interest (in decimal form), and t is the time period. – While on the topic of increasing a number exponentially, we can also look at making money grow with the application of simple interest.
- \( \text{Mean}=\frac{\text{Sum of all data values}}{\text{Number of data values}} \) – And when we need to calculate the mean of a set of numbers or values, we just need the sum of all the values and divide it by the number of values. This formula is definitely of statistical significance!
- Dilation: On dilation, the coordinates of the figure \( (x,~y) \) become \( (kx,~ky) \), where k is the scale factor. – Of importance in coordinate geometry the concept of dilation is to either increase or decrease the size of a geometric shape by a given scale factor.

- Mathematics as a subject is not isolated from a lot of other subjects. In fact, math is linked to branches of science such as physics, chemistry and biology. Not only does math help support theories in these subjects, the projections made by researchers and scientists are based on mathematical models.

- Talking about mathematical models, many real life scenarios are solved using rules and symbols. All these rules and symbols combine to give us formulas. There is a transition in learning equations and formulas, from learning one and one gives two, to, “x” subtracted from “y” giving us “z”.

- The difference here is that as a student progresses from one grade to the next, the complexity of the formulas a student learns gradually increases. It’s the lessons in class and the formulas in math that are introduced in greater numbers that allows a students to decode the reality around them.

- Formulas make math convenient to learn, and so does practice. A constant interaction with the formulas on our website is bound to make students sharper and more focused on everything that they do on a day to day basis.

- Fluency in terms of recalling formulas is sure to help students in higher grades and college. As the formulas introduced in school are the foundations for more complex ones in higher grades and college.

- From college to a career, definitely has formulas linked to them. Not simple ones like the area of a square or finding the speed of a car, but ones that could man on Mars, or building the next tallest building, or even exploring the deepest parts of the ocean!

Frequently Asked Questions

Formulas provide a method of solving problems and they also make a student sharp, focused and ready to face real world problems.

Sure, math problems can be solved without formulas. However, the process of obtaining the solution to a problem may involve many more steps when compared to the application of a formula to the same problem, and solving it in fewer steps.

Even though math started with counting numbers, complex formulas were known to many ancient civilizations as they needed to build monuments, measure land, keep a track of commerce and so on. However, Pythagoras and his formula for the hypotenuse or even Euclid are a couple of Greek mathematicians whose formulas have become famous!

Whether it is algebra, geometry or arithmetic, there are formulas for all these branches of mathematics.

The method to get those formulas ingrained is to understand a concept, and understand why the final form of the formula is the way it is written. Adding to the clarity about the why and how a formula is expressed, practice, the golden rule, is always the best option to remember a formula.

It’s common to find formulas in the textbook that are the backbones of different math concepts. There is also a possibility of deriving or simply arriving at a formula from known information, especially in algebra and geometry.

The most famous of mathematical relationships is the \( E=mc^2 \), which was proposed by Einstein. Euclid, Euler and Pythagoras are other mathematicians who have formulas named after them.

Formulas provide a direct way of solving problems and are not shortcuts. Even though there could be alternate methods of solving problems, using a formula and substituting the values in the expression, could be a quicker and a more efficient way to obtain the solution.

There is no fixed number of formulas for every grade as the number of formulas may vary according to the math concepts related to a particular grade, starting from the grade four.

The application of formulas starts from grade 4 as in the lower grades an introduction to formulas with unknowns may seem difficult to process by the student.