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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.

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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.

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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

146. Subtraction and addition tricks near numbers 9, 19, 29, 48 etc

213 215

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

X MULTIPLICATION TRICKS Multiply Faster Than a Calculator

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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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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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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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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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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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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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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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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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