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Page 1: Sample Copy. Not For Distribution

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151 Rapid Math Tricks -

Become a Mathemagician

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Publishing-in-support-of,

EDUCREATION PUBLISHING

RZ 94, Sector - 6, Dwarka, New Delhi - 110075

Shubham Vihar, Mangla, Bilaspur, Chhattisgarh - 495001

Website: www.educreation.in ___________________________________________

© Copyright, Author

All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form by any means, electronic, mechanical, magnetic, optical, chemical, manual, photocopying, recording or otherwise, without the prior written consent of its writer.

ISBN: 978-93-85247-98-9

Price: ` 313.00

The opinions/ contents expressed in this book are solely of the author and do not represent the opinions/ standings/ thoughts of Educreation.

Printed in India

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EDUCREATION PUBLISHING (Since 2011)

www.educreation.in

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About The Author

The Author Shibu c.p is a post graduate in M.COM and

Computer Application from Kerala University. He has

been studying and teaching in the field of Vedic

mathematics for the past 6 years. His research oriented

studies are well appreciated from the mass. He is also

the founder of “Genius Mastermind” Vedic Maths

Academy in Kerala. Institution is functioning to

popularise the essence of Vedic mathematics worldwide.

For this purpose an online course has been started under

the able leadership of him. The online course on Vedic

mathematics can be studied through the website

www.myvedicmaths.com from anywhere in the world.

He also founded a general knowledge website

www.gkandcurrentaffairs.com which can be used for

those who are preparing for the competitive exams.

X

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About The Book

Is it possible to multiply 897589798678 x

999999999999 or divide 889576/ 9999 in less than 10

seconds? Get ready to amaze your friends, teachers,

family and society with 151 mind – blowing and

lightning speed calculating math tricks and world’s

fastest mental calculating techniques. The tricks using in

this book are easier and faster; sometimes even faster

than the computer, often in a matter of seconds. . This

book is fully packed with fascinating short cuts, tips and

tricks by using the techniques of Vedic maths and speed

math that will make you a mathematical wizard in

future.

In 151 Rapid Math Tricks, Become a

Mathemagician, you will learn

1. How to multiply faster than a calculator?

2. How to find square root and cube root in less than

10 seconds?

3. How to solve percentages mentally?

4. How to calculate 3 x 3 digits and 4 x 4 digits

multiplication in single line?

5. How to square numbers in seconds?

6. How to square numbers up to 100?

7. How to divide numbers in your mind?

8. How to subtract without borrowing etc..?

Each trick elucidates how to calculate problems

imminently with examples of over 500 solved problems

in simple language.

This book is very ideal for students, teachers,

people from all walks of life and those preparing for

competitive exams like MBA, MCA, GRE, GMAT,

SSC, PSC, BANKING etc can make use of it.

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Preface and Acknowledgements

Mathematics? Oh no! This is the general reaction to the

subject by the children and others. It is an accepted fact

that the subject mathematics has been a hard nut to crack

for many. The purpose of this book is to get rid of this

fear and replace it with not only love but attraction for

this king of all subjects. There is no doubt about the fact

that this book will be a great consolation for those who

are weak in this subject.

It is my great pleasure to introduce a book on

math tricks. The Speed Math and Vedic Maths

techniques described in this book make mathematical

operations simple and rapid. Based on ancient Vedic

techniques, these methods use simple formulae to do

high speed math calculations. Mathematical operations

which normally take several steps and a long time to do,

now become possible in a single step, where you can

write the answer in a single line, often in a matter of few

seconds.

The tricks using in this book are easier and

faster; sometimes even faster than the computer. Those

appearing for competitive exams like MBA, MCA,

GRE, GMAT, SSC, PSC, BANKING etc will simply lap

it up - I assure. There are few very simple techniques

that will make one really comfortable with mathematics.

Within seconds problems can be solved. Speed Math

methods presented in this book will add speed to

calculations. In a single step the answer can be written in

one line. This holds true for all branches of math –

multiplication, subtraction, square, cube, square root,

cube root and the like.

This book would not have been possible without

the support given by my family. I would especially like

to thank my sisters Manjula and Nisha who spared their

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time to review thoroughly the book adding her

suggestions to make it more interesting. My brothers

Anish and Jiju gave me great help and support. I have a

special word for my father, whose inspiration has taught

me to always optimistic without looking back. My wife

Dhanya has been a pillar of strength standing beside me.

My two sons Siddarth and Gautam played their part too.

I have tried to make the book error free. In case

any mistakes are found, I will be very much indebted to

you, if it is brought to my attention. I would also be

grateful to you, if you can make any suggestions towards

betterment of the book.

X

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Dedicated to my Mother Late Smt M.Radhamony

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Content List

S.No. TOPICS PAGE

Multiplication Tricks Multiply faster than a calculator

1. Multiply by 2 3

2. Multiply by 4 4

3. Multiply by 5 5

4. Multiply by 8 6

5. Multiply by 9 7

6. Multiply by 10, 100, 1000,

10000 etc

8

7. Multiply by 12 10

8. Multiply by 13 12

9. Multiply by 14 13

10. Multiply by 15 14

11. Multiply by 16 15

12. Multiply by 17 16

13. Multiply by 18 17

14. Multiply by 19 18

15. Multiply by 25 19

16. Multiply by 35 20

17. Multiply by 45 21

18. Multiply by 50 22

19. Multiply by 55 23

20. Multiply by 75 25

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21. Multiply by 85 26

22. Multiply by 95 27

23. Multiply by 99 28

24. Multiply by 125 29

25. Multiply by 150 30

26. Multiply by 175 31

27. Multiply by 225 32

28. Multiply by 250 33

29. Multiply by 275 34

30. Multiply by 500 35

31. Multiply two digits by 1001 36

32. Multiply three digits by 1001 37

33. Multiply two digits by 10001 38

34. Multiply three digits by 10001 39

35. Doubling Technique 40

36. Halving Technique 41

Percentage Tricks Solve percentages mentally

37. Finding 1% 45

38. Finding 2.5% 46

39. Finding 5% 47

40. Finding 10% 48

41. Finding 15% 49

42. Finding 20% 50

43. Finding 25% 51

44. Finding 31% 52

45. Finding 33.333% 54

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46. Finding 40% 55

47. Finding 50% 56

48. Finding 70% 57

49. .Finding 75 % 58

50. Finding 95% 59

51. Finding 100% 60

52. Finding 110% 61

Division Tricks Divide numbers in your head

53. Divide by 4 63

54. Divide by 5 64

55. Divide by 8 65

56. Divide by 25 66

57. Divide by 50 67

58. Divide by 125 68

59. Divide by 250 69

60. Divide by 500 70

Divisibility Tricks Divisibility test in seconds

61. Divisibility by 2 73

62. Divisibility by 3 74

63. Divisibility by 4 75

64. Divisibility by 5 76

65. Divisibility by 6 77

66. Divisibility by 7 78

67. Divisibility by 8 79

68. Divisibility by 9 80

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69. Divisibility by 10 81

70. Divisibility by 11 82

71. Divisibility by 12 83

72. Divisibility by 13 84

73. Divisibility by 14 85

74. Divisibility by 15 86

75. Divisibility by 16 87

76. Divisibility by 17 88

77. Divisibility by 18 89

78. Divisibility by 19 90

79. Divisibility by 20 91

80. Divisibility by 24 92

81. Divisibility by 25 93

82. Divisibility by 26: 94

83. Divisibility by 28 95

84. Divisibility by 30 96

85. Divisibility by 33 97

86. Divisibility by 34 98

87. Divisibility by 35 99

88. Divisibility by 36 100

89. Divisibility by 38 101

90. Divisibility by 39 102

91. Divisibility by 40 103

92. Divisibility by 50 104

93. Divisibility rules of composite

numbers

105

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Miscellaneous Tricks Awesome math tricks

94. Squaring numbers made up of

11, 111, 1111 etc

107

95. Squaring numbers made up of

33, 333, 3333 etc.

108

96. Squaring numbers made up of

66, 666, 6666 etc.

109

97. Squaring numbers made up of

34, 334, 3334 etc.

110

98. Squaring numbers 67, 667,

6667 etc.

111

99. Squaring numbers 9, 99, 999,

9999 etc.

112

100. 7 -11 -13 Trick 113

101. Multiply any two digit number

by 101

114

Section 2

What is Vedic mathematics? 117

What is base? 118

How to find complement? 118

World’s fastest mental multiplication tricks

102. Case 1: Multiply numbers by

99, 999, 9999

121

103. Case 2: Multiply numbers by

99, 999, 9999

123

104. Case 3: Multiply numbers by

99, 999, 9999

125

105. Multiply two numbers between

11 and 19

127

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106. Multiply numbers just above

10

128

107. Multiply numbers just below

100

131

108. Multiply numbers just above

100

134

109. Multiply numbers below the

base 100, 1000 etc

137

110. Multiply numbers above the

base 100, 1000 etc

140

111. Multiply numbers near the

base

143

112. Multiply numbers where the

first digit is the same and sum

of last figure is 10

146

113. Multiply numbers whose first

figures are the same and last

figures add up to 100

148

114. Multiply a number by 11 150

115. Multiply a number by 111 152

116. .Multiply a number by 1111 154

117. Multiplication of numbers by

22, 33, 44, 55, 66 (multiple of

11)

156

118. Multiply a number by 222,

333, 3333, 2222, 4444 etc

158

119. Multiply Larger Numbers 160

120. Multiply two digit numbers 162

121. Multiply three Digit Numbers 165

122. Multiply four digit numbers 168

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Squaring Techniques Square numbers in your mind

123. Square numbers ending in 1 173

124. Square numbers ending with 4 174

125. Square the two digit number

that starts with 5

176

126. Square numbers that end in 5 177

127. Square numbers ending with 6 179

128. Square numbers ending in 25 180

129. Square numbers ending in 75 182

130. Square numbers that close to

100

184

131. Square numbers that close to

50

186

132. Square two digits numbers up

to 100

188

133. Square numbers that near

below the base

189

134. Square numbers that near

above the base

191

135. Square any two digit numbers 193

136. Square any three digit numbers 194

Division Tricks Fastest mental division tricks by 9, 99, 999...

137. Divide two digit numbers by 9 197

138. Divide three digit numbers by

9

199

139. Divide four digit numbers by 9 201

140. Divide by 9 (Carry over 202

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Method)

141. Divide by 99 204

142. Divide by 999 206

Subtraction Techniques Mind-blowing subtraction techniques

143. Subtract numbers from 100,

1000, 10000 etc

209

144. Subtract of a number from

200, 500, 5000, 7000 etc

211

145. Subtraction when both the

numbers have same number of

digits

213

146. Subtraction and addition tricks

near numbers 9, 19, 29, 48 etc

215

Square Root Techniques Calculate square root in just 10 seconds

147. Square Roots of perfect

squares

217

Cube Root Techniques Calculate cube root in seconds

148. Cube Roots of perfect cubes

(up to 6 digits)

223

Cubing Techniques Calculate cube of numbers quickly

149. Finding cubes of a numbers 229

150. Cubes of numbers above the

base

232

151. Cubes of numbers below the

base

235

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

1 | S H I B U C P

X MULTIPLICATION TRICKS

Multiply Faster Than a Calculator

X

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

2 | S H I B U C P

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

3 | S H I B U C P

Trick #01

MULTIPLY BY 2

Rule

Add the number to itself or double the

original number

Examples:-

52 x 2 = Add the number,

52 + 52 = 104 or double of 52 is 104

142 x 2 = 142 + 142 = 284 or

double of 142 is 284.

240 x 2 = 240 + 240 = 480 or

double of 240 is 480.

3562 x 2 = 3562 + 3562 = 7124 or

double of 3562 is 7124.

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

4 | S H I B U C P

Trick #02

MULTIPLY BY 4

Rule

Double two times the

original number

Examples:-

31 x 4

Double 31 to 62 and double it again to 124

Answer: 124

328 x 4

Double 328, we get 656 and double 656,

we get 1312

Answer: 1312

4325 x 4

We get, 8650, 17300

Answer: 17300

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

5 | S H I B U C P

Trick #03

MULTIPLY BY 5

Rule

Multiply by 10 and divide by 2

Examples:-

35 x 5

Step 1: 35 x 10 = 350

Step 2: 350 ÷ 2 = 175 (Half the number)

Answer: 175

999 x 5

Step 1: 999x 10 = 990

Step 2: 9990 ÷ 2 = 4995

Answer: 4995

Answer in single line

1732 x 5

17320 ÷ 2 = 8660

Answer: 8660

91756 x 5

917560 ÷ 2 = 458780

Answer: 458780

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

6 | S H I B U C P

Trick #04

MULTIPLY BY 8

Rule

Double 3 times the original number

Examples:-

72 x 8

Double of 72 is 144, double of 144 is 288

and double of 288 is 576

We get 144, 288, and 576

Answer: 576

157 x 8

We get 314, 628, and 1256

Answer: 1256

3256 x 8

We get 6512, 3024, 26048

Answer: 26048

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

7 | S H I B U C P

Trick #05

MULTIPLY BY 9

Rule

Multiply by 10 and subtract

the original number

Examples:-

215 x 9

Step 1: 215 x 10 = 2150 (multiply by 10)

Step 2: 2150 – 215 = 1935

Answer: 1935

Answer in single line

897 x 9

8970 – 897 = 8073

21526 x 9

215260 – 21526 = 193734

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

8 | S H I B U C P

Trick #06

MULTIPLY BY 10, 100, 1000, 10000 etc

Rule

When a number is multiplied by 10, one zero is

placed to the extreme right of the multiplicand

When 100, two zeros are placed.

When 1000, three zeros are placed.

When 10000, four zeros are placed and so on.

Note : When multiplying a decimal number by 10 , 100 , 1000 etc, move the decimal point to the right

side by the same number of places as there are

zeros.

Examples:-

456 x10 = 4560

789 x 100 = 78900

4487 x 1000 = 4487000

56789 x 10000 = 567890000

25.7 x 100 = 2570 (Shift the decimal point

two steps to the right, since 100 has two

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

9 | S H I B U C P

zeros).

455.32 x 1000 = 455320

10 x 0.59 = 05.9 = 5.9 (Shift the decimal

point one step to the right, since 10 has one

zero)

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10 | S H I B U C P

Trick #07

MULTIPLY BY 12

Rule

Multiply by 10 and add twice

the original number

Examples:-

156 x 12

Step 1: 156 x 10 = 1560

Step 2: 156 x 2 = 312

Add up the result of step 1 and step 2 = 1560

+ 312 = 1872

Answer: 1872

1277 x 12

Step 1: 1277 x 10 = 12770

Step 2: 1277 x 2 = 2554

= 12770 + 2554 = 15324

Answer: 15324

Answer in single line

12567 x 12

125670 + 25314 = 150984

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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN

11 | S H I B U C P

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