Top 100 Maths Tricks

August 20, 2017 | Author: Manoj Moharana | Category: Multiplication, Physics & Mathematics, Mathematics, Communication, Internet
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Maths Tricks , shortcut tricks for maths to make calculation easy and fast

 

To calculate reminder on dividing the number by 27 and 37

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Let me explain this rule by taking examples consider number 34568276, we have to calculate the reminder on diving this number by 27 and 37 respectively. make triplets as written below starting from units place 34.........568..........276 now sum of all triplets = 34+568+276 = 878 divide it by 27 we get reminder as 14 divide it by 37 we get reminder as 27

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Example.

other examples for the clarification of the rule let the number is 2387850765 triplets are 2...387...850...765 sum of the triplets = 2+387+850+765 = 2004 on revising the steps we get 2......004 sum = 6 divide it by 27 we get reminder as 6 divide it by 37 we get reminder as 6 Is this maths trick helpful?  

Yes

(3126)  

No

(1386)

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To calculate reminder on dividing the number by 7, 11, 13

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19 c ac ed helpful!!!

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Let me explain this rule by taking examples consider number 34568276, we have to calculate the reminder on diving this number by 7, 11, 13 respectively. make triplets as written below starting from units place 34.........568..........276 now alternate sum = 34+276 = 310 and 568 and difference of these sums = 568-310 = 258 divide it by 7 we get reminder as 6 divide it by 11 we get reminder as 5 divide it by 13 we get reminder as 11

e e e y

Example.

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other examples:consider the number 4523895099854 triplet pairs are 4...523...895...099...854 alternate sums are 4+895+854=1753 and 523+099=622 difference = 1131 revise the same tripling process 1......131 so difference = 131-1 = 130 divide it by 7 we get reminder as 4 divide it by 11 we get reminder as 9 divide it by 13 we get reminder as 0 Is this maths trick helpful?  

Yes

(1347)  

No

(631)

To calculate reminder on dividing the number by 3

02

Top 100 maths Tricks whats so special about 143, please check here: http://www.urbandictionary.com/define.php? term=143... janani balasubramanian 2013-02-08 08:43:09 All the puzzle very superb .Its really helpful for me for preparing the interview.First i would search all the aptitude answers for the respective question in Google which will take me for long time.After i came to know the

Maths Quotes (More) "MATHEMATICS is a great motivator for all humans.. Because its career starts with "ZERO" but it never end(INFINITY).." Vignesh R "Measure what is measurable, and make measurable what is not so." Galileo Galilei

Method:- first calculate the digit sum , then divide it by 3, the reminder in this case will be the required reminder example:- 1342568 let the number is as written above its digit sum = 29 = 11 = 2 so reminder will be 2

Example.

Take some others 34259677858 digit sum of the number is 64 = 10 = 1 reminder is 1 similarly let the number is 54670329845 then digit sum = 53 = 8 when we divide 8 by 3 we get reminder as 2 so answer will be 2 Is this maths trick helpful?  

"mathematics is the mirror of our culture" bhavin "Students attend our lectures not because

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To calculate reminder on dividing the number by 3 Method:- first calculate the digit sum , then divide it by 3, the reminder in this case will be the required reminder example:- 1342568 let the number is as written above its digit sum = 29 = 11 = 2 so reminder will be 2

Example.

Take some others 34259677858 digit sum of the number is 64 = 10 = 1 reminder is 1 similarly let the number is 54670329845 then digit sum = 53 = 8 when we divide 8 by 3 we get reminder as 2 so answer will be 2 Is this maths trick helpful?  

Yes

(615)  

No

(288)

To calculate reminder on dividing the number by 3 Method:- first calculate the digit sum , then divide it by 3, the reminder in this case will be the required reminder example:- 1342568 let the number is as written above its digit sum = 29 = 11 = 2 so reminder will be 2

Example.

Take some others 34259677858 digit sum of the number is 64 = 10 = 1 reminder is 1 similarly let the number is 54670329845 then digit sum = 53 = 8 when we divide 8 by 3 we get reminder as 2 so answer will be 2 Is this maths trick helpful?  

Yes

(543)  

Square of numbers near to 100 Let me explain this rule by taking examples 96^2 :First calculate 100-96, it is 4 so 96^2 = (96-4)----4^2 = 9216 similarly 106^2 :First calculate 106-100, it is 6 so 106^2 = (106+6)----6^2 = 11236

http://www.m4maths.com/maths-trick.php[6/4/2013 2:31:12 PM]

No

(281)

Top 100 maths Tricks

Example.

An other case arises 110^2 = (110+10)----100 = (120+1)----00 = 12100 similarly 89^2 = (89-11)----121 = (78+1)----21 = 7921 Is this maths trick helpful?  

Yes

(1180)  

No

(469)

Square of any 2 digit number Let me explain this trick by taking examples 67^2 = [6^2][7^2]+20*6*7 = 3649+840 = 4489 similarly 25^2 = [2^2][5^2]+20*2*5 = 425+200 = 625 Take one more example 97^2 = [9^2][7^2]+20*9*7 = 8149+1260 = 9409 Here [] is not an operation, it is only a separation between initial 2 and last 2 digits

Example.

Here an extra case arises Consider the following examples for that 91^2 = [9^2][1^2]+20*9*1 = 8101+180 = 8281 Is this maths trick helpful?  

Yes

(1458)  

No

(532)

Multiplication of 2 two-digit numbers where the first digit of both the numbers are same and the last digit of the two numbers sum to 10 (You can’t use this rule for other numbers) Let me explain this rule by taking examples To calculate 56×54: Multiply 5 by 5+1. So, 5*6 = 30. Write down 30. Multiply together the last digits: 6*4 = 24. Write down 24. The product of 56 and 54 is thus 3024.

Example.

Understand the rule by 1 more example 78*72 = [7*(7+1)][8*2] = 5616 Is this maths trick helpful?  

Yes

(759)  

No

(296)

Multiplication of two numbers that differ by 6 (This trick only works if you have memorized or can quickly calculate the squares of numbers. If the two numbers differ by 6 then their product is the square of their average minus 9. Let me explain this rule by taking examples 10*16 = 13^2 - 9 = 160 22*28 = 25^2 - 9 = 616

Example.

Understand the rule by 1 more example 997*1003 = 1000^2 - 9 = 999991 Is this maths trick helpful?  

Yes

(549)  

No

(246)

Multiplication of two numbers that differ by 4 (This trick only works if you have memorized or can quickly calculate the squares of numbers. If two numbers differ by 4, then their product is the square of the number in the middle (the average of the two numbers) minus 4. Let me explain this rule by taking examples 22*26 = 24^2 - 4 = 572 98*102 = 100^2 - 4 = 9996

Example.

Understand the rule by 1 more example 148*152 = 150^2 - 4 = 22496 Is this maths trick helpful?  

Yes

(449)  

No

(217)

Multiplication of two numbers that differ by 2 (This trick only works if you have memorized or can quickly calculate the squares of numbers. When two numbers differ by 2, their product is always the square of the number in between these numbers minus

http://www.m4maths.com/maths-trick.php[6/4/2013 2:31:12 PM]

Top 100 maths Tricks 1. Let me explain this rule by taking examples 18*20 = 19^2 - 1 = 361 - 1 = 360 25*27 = 26^2 - 1 = 676 - 1 = 675

Example.

Understand the rule by 1 more example 49*51 = 50^2 - 1 = 2500 - 1 = 2499 Is this maths trick helpful?  

Yes

(411)  

No

(144)

Multiplication of 125 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 93*125 = 93000/8 = 11625. 2. 137*125 = 137000/8 = 17125.

Example.

Understand the rule by 1 more example 3786*125 = 3786000/8 = 473250. Is this maths trick helpful?  

Yes

(524)  

No

(236)

Multiplication of 25 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 67*25 = 6700/4 = 1675. 2. 298*25 = 29800/4 = 7450.

Example.

Understand the rule by 1 more example 5923*25 = 592300/4 = 148075. Is this maths trick helpful?  

Yes

(497)  

No

(224)

Multiplication of 5 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 49*5 = 490/2 = 245. 2. 453*5 = 4530/2 = 2265.

Example.

Understand the rule by 1 more example 5649*5 = 56490/2 = 28245. Is this maths trick helpful?  

Yes

(487)  

No

(164)

Multiplication of 5 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 49*5 = 490/2 = 245. 2. 453*5 = 4530/2 = 2265.

Example.

Understand the rule by 1 more example 5649*5 = 56490/2 = 28245. Is this maths trick helpful?  

Yes

(387)  

No

(184)

Multiplication of 999 with any number (You can\'t use this rule for other numbers) Let me explain this rule by taking examples 1. 51*999 = 51*(1000-1) = 51*1000-51 = 51000-51 = 50949. 2. 147*999 = 147*(1000-1) = 147000-147 = 146853.

Example.

Understand the rule by 1 more example 3825*999 = 3825*(1000-1) = 3825000-3825 = 3821175 Is this maths trick helpful?  

http://www.m4maths.com/maths-trick.php[6/4/2013 2:31:12 PM]

Yes

(397)  

No

(151)

Top 100 maths Tricks

Multiplication of 99 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 46*99 = 46*(100-1) = 46*100-46 = 4600-46 = 4554. 2. 362*99 = 362*(100-1) = 36200-362 = 35838.

Example.

Example. Understand the rule by 1 more example 2841*99 = 2841*(100-1) = 284100-2841 = 281259 Is this maths trick helpful?  

Yes

(360)  

No

(125)

Multiplication of 99 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 46*99 = 46*(100-1) = 46*100-46 = 4600-46 = 4554. 2. 362*99 = 362*(100-1) = 36200-362 = 35838.

Example.

Example. Understand the rule by 1 more example 2841*99 = 2841*(100-1) = 284100-2841 = 281259 Is this maths trick helpful?  

Yes

(301)  

No

(114)

Multiplication of 9 with any number (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 18*9 = 18*(10-1) = 18*10-18 = 180-18 = 162. 2. 187*9 = 187*(10-1) = 1870-187 = 1683.

Example.

Example. Understand the rule by 1 more example 1864*9 = 1864*(10-1) = 18640-1864 = 16776 Is this maths trick helpful?  

Yes

(354)  

No

(131)

Multiplication of 11 with any number. (You can't use this rule for other numbers) Let me explain this rule by taking examples 1) 234163*11 = 2---2+3---3+4---4+1---1+6---6+3---3 = 2575793 Means insert the sum of 2 successive digits and put 2 terminal digits in its place 2) 45345181*11 = 4---4+5---5+3---3+4---4+5---5+1---1+8---8+1---1 = 498796991

Example.

Here an extra case arises Consider the following examples for that 3) 473927*11 = 4+1--- (4+7-10) +1--- (7+3-10) +1--- (3+9-10) +1--- (9+2-10)--- (2+7) ---7 = 5213197 4) 584536*11 = 5+1---(5+8-10)+1---(8+4-10)---(4+5)---(5+3)---(3+6)---6 = 6429896 Is this maths trick helpful?  

Yes

(652)  

No

(356)

Square of any 2 digit number (You can't use this rule for other numbers) Let me explain this rule by taking examples 27^2 = (27+3)*(27-3) + 3^2 = 30*24 + 9 = 720+9 = 729 In this method, we have to make a number ending with 0, that's why; we add 3 to 27.

Example.

Understand the rule by 1 more example 78^2 = (78+2)*(78-2) + 2^2 = 80*76 + 4 = 6080+4 = 6084 Is this maths trick helpful?  

Yes

(456)  

No

(330)

Square of a 2 digit number ending with 5 (You can't use this rule for other numbers) Let me explain this rule by taking examples 35^2 = 3*(3+1) ---25 = 1225

Example.

http://www.m4maths.com/maths-trick.php[6/4/2013 2:31:12 PM]

Top 100 maths Tricks Other example 95^2 = 9*(9+1) ---25 = 9025 Is this maths trick helpful?  

Yes

(608)  

No

(130)

Multiplication of 11 with any number of 3 digits. (You can't use this rule for other numbers) Let me explain this rule by taking examples 1. 352*11 = 3---(3+5)---(5+2)---2 = 3872 Means insert the sum of first and second digits, then sum of second and third digits between the two terminal digits of the number 2. 213*11 = 2---(2+1)---(1+3)---3 = 2343

Example.

Here an extra case arises Consider the following examples for that 1) 329*11 = 3--- (3+2) +1--- (2+9-10) ---9 = 3619 Means, if sum of two digits of the number is greater than 10, then add 1 to previous digit and subtract 10 to the associated digit. 2) 758*11 = 7+1---(7+5-10)+1---(5+8-10)---8 = 8338 Is this maths trick helpful?  

Yes

(419)  

No

(159)

Multiplication of 11 with any number of 2 digits. (You can’t use this rule for other numbers) Let me explain this rule by taking examples 35*11 = 3---(3+5)---5 = 385 Means insert the sum of first and second digits between the two digits of the number 27*11 = 2---(2+7)---7 = 297

Example.

Here an extra case arises Consider the following examples for that 39*11 = 3+1---(3+9-10)---9 = 429 Means, if sum of two digits of the number is greater than 10, then add 1 to first digit and subtract 10 to the inserted term. 78*11 = 7+1---(7+8-10)---8 = 858 Is this maths trick helpful?  

Yes

(500)  

No

(190)

Multiplication of any two numbers, both ranging from 11 to 19. (You can’t use this rule for other numbers) Let me explain this rule by taking examples 13*19 = (13+9)*10 + (3*9) = 220 + 27 = 247 Means add first number and last digit of the second number take zero in the third place of this number then add product of last digit of the two numbers in it.

Example.

18*14 = (18+4)*10 + (8*4) = 220 + 32 = 252 Is this maths trick helpful?  

Yes

(1166)  

No

(358)

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Naveen Kumar · Joginpally B.R.engg college,Moinabad/JNTU wow its great......v need more from u please kepp updating. Reply · Like

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· May 17 at 4:21am

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  Naveen Kumar · Joginpally B.R.engg college,Moinabad/JNTU wow its great but v need more to digest. Reply · Like

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Top 100 maths Tricks

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  Dushyant Yadav · Executive Engineer at Arsh Electronics Pvt.Ltd wow its too gud. thnx for uploading thees Privacy Policy

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