One day I was lethargic, suddenly i got an idea to improve my Math. I googled Internet and got some tricks for Smart Math (also called Vedic math).

I was really surprised, here I got some very useful tricks to solve the hardest calculation in seconds. Here I am sharing some tricks which can really prove “Mathematics is fun”.

Multiply Up to 20X20 In 20 second:

Yes you can solve this in seconds. see how

1. Take 15 x 13 for an example.
2. Always place the larger number of the two on top in your mind.
3. Then draw the shape of Africa mentally so it covers the 15 and the 3 from the 13 below. Those covered numbers are all you need.
4. First add 15 + 3 = 18
5. Add a zero behind it (multiply by 10) to get 180.
6. Multiply the covered lower 3 x the single digit above it the “5″ (3×5= 15)
7. Add 180 + 15 = 195

Square a 2 Digit Number Ending in 5:

For this example we will use 25

1. Take the “tens” part of the number (the 2 and add 1)=3
2. Multiply the original “tens” part of the number by the new number (2×3)
3. Take the result (2×3=6) and put 25 behind it. Result the answer 625.

Try a few more 75 squared … = 7×8=56 … put 25 behind it is 5625.
55 squared = 5×6=30 … put 25 behind it … is 3025. Another easy one! Practice it on paper first!

Multiplying two numbers when a round number is halfway between them:

Suppose you are multiplying two moderately large numbers, 84 and 76. Note that the number 80 is halfway between the two.

This means that 84*76 can be rewritten as
(80 + 4)(80 – 4)
which simplifies to 80² – 4², which is easier to figure out: 6400 – 16 = 6384.

Adding even numbers from two through a selected 2-digit even number:

1. If the 2-digit even number selected is 24:
2. Divide 24 by 2 (24/2 = 12) or multiply by 1/2 (1/2 × 24 = 12).
3. The next number is 13; 12 × 13 = 156.
   Ways to multiply 13 by 12:
   • Square 12, then add 12: 12 × 12 = 144, 144 + 12 = 156.
   • Multiply left to right. 12 × 13 can be done in steps: 12 × (10+3) = (12 × 10) + (12 × 3) = 120 + 36 = 156.
4. So the sum of all the even numbers from two through 24 is 156.

Adding the digits of the square of repeating ones:

1. If the number selected is 1111:
2. Square the number: 1111 × 1111 = 1234321
3. Add the digits of the square:
   1 + 2 + 3 + 4 + 3 + 2 + 1 = 16
4. The answer is the square of the number of ones in 1111.

Adding a sequence of consecutive odd numbers:

1. If the 2-digit odd number selected is 35:
2. 35+1 = 36 (add 1).
3. 36/2 = 18 (divide by 2) or 1/2 × 36 = 18 (multiply by 1/2).
4. 18 × 18 = 324 (square 18): 18 × 18 = (20 – 2)(18) = (20 × 18) – (2 × 18) = 360 – 36 = 360 – 30 – 6 = 324.
5. So the sum of all the odd numbers from one through 35 is 324.

Adding consecutive numbers between two numbers:

1. If the two numbers selected are 6 and 19:
2. Add the numbers: 6 + 19 = 25.
3. Subtract the numbers: 19 – 6 = 13.
4. Add 1: 13 + 1 = 14.
5. Multiply 25 by half of 14: 25 × 7 = 175
6. So the sum of the numbers from 6 through 19 is 175.

Subtracting the squares of two numbers:

1. Select a 2-digit number and then choose a number two larger or two smaller.
2. Multiply the middle number by 4.

Example:

1. If the the first number selected is 31:
2. Choose 29.
3. Multiply the number between them by 4: 4 × 30 = 120
4. So (31)(31) – (29)(29) = 120.

Reversing/adding/subtracting 3-digit numbers:

1. Select a number with different 1st and 3rd digits.
2. Reverse the digits.
3. Subtract the smaller digit from the larger.
4. Reverse the digits of this answer.
5. Add these two numbers.
6. Subtract a number from this sum.
7. The final answer will be 1089 minus whatever number you choose in step 6!

Example:

1. For the last step you say to subtract 22.
2. The answer is: 1089 – 22 = 1067.

Finding 5 percent of a number:

1. Choose a large number (or sum of money).
2. Move the decimal point one place to the left.
3. Divide by 2 (take half of it).

Example:

1. If the amount of money selected is 850:
2. Move the decimal point one place to the left.: 85
3. Divide by 2: 85/2 = 42.50
4. So 5% of 850 = 42.50.

Finding 15 percent of a number:

1. Choose a 2-digit number.
2. Multiply the number by 3.
3. Divide by 2.
4. Move the decimal point one place to the left.

Example:

1. If the number selected is 43:
2. Multiply by 3: 3 × 43 = 129
3. Divide by 2: 129/2 = 64.5
4. Move the decimal point one place to the left: 6.45
5. So 15% of 43 = 6.45.

Sum of first n integers:

Another easy formula likely to show up:

1+2+3+4+…+n = n(n+1)/2

Example: 1 + 2 + 3 + … + 12 = 12*13/2 = 6*13 = 78

Sum of the first n square numbers:

1 + 2² + 3² + … + n² = n(n+1)(2n+1)/6

Example: The sum of the first 10 square numbers:
The long way: 1 + 4 + 9 + 6 + 25 + 36 + 49 + 64 + 81 + 100 = 385
The faster way: 10*(10+1)(20+1)/6 = 10*11*21/6 = 385

Here I have posted some basic fast Math Tricks which we use in our regular life. If you have more send it to iimage.post@gmail.com, We will publish it in this post.

Friends are you tired from regular Orkutting? Then I have collected some really useful and cool tricks from the web.

Here is the list of 10 web links which I feel best. If you have more link and tricks please post it in Comment Box.

1. Orkutrix: One of the Best Link for Orkut Lovers. (http://www.orkutrix.com)
2. Change Background of Orkut: If you are a Firefox user you got lots of options for changing the look and feel for orkut. (http://www.insideorkut.com/2006/06/changing-your-orkut-background.html)
3. Orkut Cute: Orkut cute is a program that let you send scraps to all your friends in orkut. It also alerts you when you receive new scraps send notifications when forums are updated. (http://www.apcsoftware.com.br/ingles)
4. Tricks 4 Fun: Best List of Orkut Proxy (http://www.tricks4fun.com/category/orkut)
5. Tricks 4 Fun: Some Tricks related to Scrap, Post, Fan and Testimonial. (http://www.tricks4fun.com/2006/11/15/orkut-tricks)
6. Orkut Under World: Find all the Interesting Orkut Tricks Here… (http://orkutunderworld.blogspot.com/)
7. Kunal Vijan Blog: 72 Orkut Tips, Tricks and Softwares (http://vijan87.wordpress.com/2007/05/24/72-orkut-tips-tricks-scripts-and-softwares)
8. Orkut Dating Tricks: How to find girls and boys in your city <<COOL>> (http://www.devilsworkshop.org/2007/06/25/orkut-dating-tricks-how-to-find-girls-in-your-city)
9. Orkut 4 U: The best and the most funny Tricks for Orkut (http://orkut4u.blogspot.com/)
10. Sandeep’s Blog: Wonderful Orkut Tricks (http://sandeep240887.wetpaint.com/page/wonderful+orkut+tricks)

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