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151 Rapid Math Tricks -
Become a Mathemagician
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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
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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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151 RAPID MATH TRICKS | BECOME A MATHEMAGICIAN
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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