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Maths Formulas

Maths Formulas | List of Basic Mathematics Formulas for Class 5 to 12

Maths Formulas can be difficult to memorize. That is why we have created a huge list of maths formulas just for you. You can use this list as a go-to sheet whenever you need any mathematics formula. In this article, you will formulas from all the Maths subjects like Algebra, Calculus, Geometry, and more. It also has basic maths rules and statements which will be very helpful for your high school homework. We will soon also provide the PDF of Maths Formulas for Class 5, 6, 7, 8, 9, 10, 11, and 12.

To some Maths can be fun! To some Maths can be surprising and some maths can be unexpected. In our daily life, we can determine which the best route to our schools is, or which supermarket is providing cheaper groceries. Addition, subtraction, multiplication and division and many more are the easy computations of basic mathematics. Here, in this article, we will discuss basic math formulas with examples. Let us learn the fundamentals of mathematics.

Maths Formulas

List of Maths Formulas

Basic Mathemathics Formulas

Let us discuss here the very general and fundamental formula used in basic maths.  These are used not only in academic books but also in our day to day life. In your primary classes these formulae and their applications in solving and simplifying equations, we used general BODMAS Rule.

But as students go with higher classes from 6 to 10, you will come across various mathematic formulas based on different concepts such as Algebra. By practicing questions and answers based on these formulas, you can by-heart them. Some of the other concepts which have formulas are;

  • Fractions
  • Percentage
  • Formula for proportion
  • Expression

The basics of Maths will work out with the help of some equations such as the equation of forces, accelerations or work done. Also, they are used to provide mathematical solutions for real-world problems. There are many types of equations, which are found in many areas of mathematics.

The techniques used to examine them will differ according to their type. It may be as simple as a basic addition formula or complicated as the integration of differentiation.

Basic Maths Formulas List

Some of the Basic Math Formulae are listed below:

(1)Adding Fractions

\(\frac{p}{q} + \frac{r}{s} = \frac{p*s+r*q}{q*s}\)

(2) Subtracting Fractions

\(\frac{p}{q} – \frac{r}{s} = \frac{p*s-r*q}{q*s}\)

(3) Multiplying Fractions

\(\frac{p}{q} * \frac{r}{s} = \frac{p*r}{q*s}\)

(4) Dividing Fractions

\(\frac{\frac{a}{b}}{\frac{c}{d}}= \frac{a*d}{b*c}\)

(5) Proportion Rule:

\(\frac{p}{q}= \frac{c}{d}\)

then\( p*d= q*c\)

(6) Percentage to fraction:

x % = \(\frac{x}{100}\)

BODMAS Rule

BODMAS is a very important rule of mathematics. It is used in the simplification of mathematical expressions and equations involving basic operations of mathematics. BODMAS stands for the bracket, Of, Division, Multiplication, Addition, and Subtraction. It explains the sequence and order of operations to solve the expression.

According to it, if an expression contains brackets ((), {}, []) we have to first solve these brackets followed by “of” i.e. powers, then division, multiplication, addition and subtraction from left to right. The order of brackets for the simplification (), {}, [].

Solved Maths Examples

Q.1:  Find x,   if \(\frac{1}{5} =  \frac{2}{x}\).

Solution: Given, \(\frac{1}{5} =  \frac{2}{x}\)

On cross multiplication, we get,

\(1 * x = 2 * 5\)

Thus,  x = 10.

Q.2:  Add the fractions

\(\frac{2}{5} +  \frac{6}{7}\)

Solution: Given,

\(\frac{2}{5} and \frac{6}{7}\) as two fractions. On adding them,

\(\frac{2}{5} +  \frac{6}{7}\)

=  \(\frac{2*7+6*5}{5*7}\)

= \(\frac{44}{35}\)

Q.3: Simplify:

\(-2(13+2)\div 5+16\)

Solution:

\(-2(13+2)\div 5+16\)

We will follow BODMAS rule to perform operations as follows:

Step 1: Simplify the terms inside ( )  to get  13+2  i.e. 15

Step 2: Divide the result by 5 ,    to get 3.

Step 3: Multiply the result by -2 to get -6.

Step-4: Add the result in 16 to get 10.

Thus the final result is 10.

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