Vedic Maths is one of the fastest Mental Maths system ever. Apart from the traditional methods used in classrooms, Vedic Maths in itself has a set of rules and principles which when mastered helps you perform simple mathematical operations (like addition, subtraction, multiplication and division) as well as complex arithmetics, algebra, geometry, calculus, conics and so on in an easier and faster way.

The term “Vedic” is derived from the Sanskrit word “Veda” which means knowledge.

It consists of 16 sutras or formulae and 13 sub-sutras or sub-formulae. By learning these sutras and sub-sutras and also practicing and mastering them, you can solve mathematical arithmetics faster than a calculator.

BEAUTY of Vedic Maths

Using the Vedic Maths concepts, any time-consuming or difficult calculations for competitive exams can be solved quickly as time is a critical factor for such exams.

Also, the complex mathematical topics like polynomial functions and quadratic sums encountered in higher classes in CBSE or any other board can be solved easily with the knowledge of Vedic Maths.

Below are some simple illustrations which depicts the beauty of Vedic Maths:

1. Subtract from 1000, 10000, 100000 and so on

Eg: Subtract 4627 from 10000

Subtract all digits from 9 except last digit

Step 1: 9 - 4 = 5
Step 2: 9 - 6 = 3 
Step 3: 9 - 2 = 7             
Step 3: Last digit, 10 - 7 = 3

Answer = 5373

2. Square of a Number ending with ‘5’

Eg: Find (75)²

Step 1: Add 1 to the first digit and multiply with the digit itself 
        i.e: 7 * (7 + 1) = 7 * 8 = 56
Step 2: (5)2 = 25, which will be the last part of the answer              
Step 3: Combining them, answer will be 5625

Answer = 5625

3. Multiplication by 5

Firstly, identify whether the number is even or odd

Even number

Eg: 5284 * 5

Step 1: Divide 5284 by 2 which is 2642
Step 2: Add 0 to the end

Answer = 26420

Odd Number

Eg: 7353 * 5

Step 1: Subtract 1 from the number
        i.e: 7353 - 1 = 7352
Step 2: Divide the result by 2
        i.e: 7352 / 2 = 3676
Step 3: Add 5 to the end

Answer = 36765

4. Multiplication by 11

Check whether the number is even or odd

Even number

Eg: 63 * 11

Assume that the answer is ABC

Step 1: A = the first digit of the number which is 6
Step 2: B = the sum of first and last digit which is 6 + 3 = 9
Step 3: C = the last digit of the number which is 3

Answer = 693

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sutras in Vedic Maths

Below are the 16 sutras used in Vedic Maths:

No.	Sutra Name	Meaning	Where to Use
1	Ekadhikena Purvena	By one more than the previous one	Squaring of a number ending with 5
2	Nikhilam Navatashcaramam Dashatah	All from 9 and the last from 10	Multiplication of numbers, which are near to base 10, 100, 1000
3	Urdhva-Tiryagbyham	Vertically and crosswise	It is a general formula, applicable to all cases of multiplication of two large number
4	Paravartya Yojayet	Transpose and adjust	When divisor is greater than 10
5	Shunyam Saamyasamuccaye	When the sum is the same that sum is zero
6	Anurupyen Shunyamanyat	If one is in ratio, the other is zero	To find out the product of two number when both are near the common base like 40, 40, etc. (multiples of powers of 10).
7	Sankalana-Vyavakalanabhyam	By addition and by subtraction	It is used to solve simultaneous simple equations which have the co-efficient of the variables interchanged.
8	Puranapuranabyham	By the completion or Non-completion	Used to simplify or solve the algebra problems.
9	Chalana-Kalanabyham	Differences and Similarities
10	Yaavadunam	Whatever the extent of its deficiency	Applicable to obtain sq. of a number close to bases of powers of 10
11	Vyashtisamasthi	Part and Whole	Help in the factorisation of the quadratic equation of types
12	Shesanyankena Charamena	The remainders by the last digit	It is to express a fraction as a decimal to all its decimal places
13	Sopaantyadvayamantyam	The ultimate and twice the penultimate
14	Ekanyunena Purvena	By one less than the previous one	This sutra is used in case of multiplication by 9, 99…
15	Gunitasamuchyah	The product of the sum is equal to the sum of the product	Used to verify the correctness of obtained answers in multiplications, divisions and factorizations.
16	Gunakasamuchyah	The factors of the sum are equal to the sum of the factors

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