Speed maths 12 tricks shortcuts fast vedic mental maths | solve in less than 3 seconds

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453 X 999
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Solution
453 X 999
452 547
3
Step 1: When you multiply any
number(N) with equal number of ‘9s’
then Reduce 1 from that number
(N-1) . Therefore 453 becomes 452.
This is Left part of your answer.
Step 2: The Right part of the answer
is obtained by subtracting N from
1000, i.e. If the number is
consideration is 3 digit number
subtracted by smallest 4 digit
number i.e. 1000. Therefore (1000-
453) you get 547 as the right part of
answer. This is called as obtaining
complement of a number.
Step 3: Combine the Left and Right
part to get the final answer, you get
452547
453 - 1 = 452 1000 - 453 = 547

47 x 43

Solution
47 x 43
2021
5
Step 1: When multiplying 2 – Two
digit numbers whose TENS digits are
identical (4 in this case) and units
digit add to 10 (7 +3 =10). The Left
part of the answer is obtained by
increasing the Tens digit by 1 and
multiplying the increased number
with the original number(4 X 5 = 20)
Step 2: The Right part of the
answer is obtained by Multiplying
the Units digit of both the numbers
i.e. (7 X 3 = 21).
2021
4 x 5 = 20 7 x 3 = 21

85X 85

Solution
85 X 85
7225
7
Step 1: When Squaring a number
ending in 5, The Left part of the
answer is obtained by increasing the
Tens digit by 1 and multiplying the
new number with the original
number (8 X 9 = 72)
the Units digit of both the numbers
i.e. (5 X 5 = 25), which is always 25,
therefore you can directly write 25.
7225
8 x 9 = 72 5 x 5 = 25

(74)
2

Solution
(74)
74
x 74
----
4916
56 (7x4x2 = 56)
----
5476
2
9
Step 1: When Squaring any random 2
DIGIT number, The Left part of the
answer is obtained by multiplying
the TENS digit with itself (7 X 7 = 49)
the Units digit with itself i.e. (4 X4 =
16), Combine the LEFT and RIGHT
part, 4916
AND…
Step 3: Multiply 7 and 4 and 2
(7x4x2 = 56), and write the product
of that below HUNDREDS and TENS
digit, ADD this 56 to the 4916 to GET
5476, as shown
here
7 x 7 = 49 4 x 4 = 16

(57)
2

Solution
(57)
3249
2
11
Step 1: When Squaring numbers
close to 50. The Left part of the
answer is obtained by : adding 25 to
the difference of the number from
50 ( 57 - 50 = 7 ) i.e. (25 + 7 = 32)
Note: If the number is less than 50
say 47, then you will add (-3) to 25 to
get 22.
the Units digit with itself i.e. (7 X 7 =
49),
Step 3: Combine the LEFT and RIGHT
part, 3249
25+7 = 32 7x7 = 49

(512)
2

Solution
(512)
262144
2
13
Step 1: When Squaring numbers close to
500. The Left part of the answer is
obtained by : adding 250 to the difference
of the number from 500 ( 512 - 500 = 12 )
i.e. (250 + 12 = 262)
Note: If the number is less than 500 say
498, then you will add (-2) to 250 to get
248.
Step 2: The Right part of the answer is
obtained by Multiplying the last two
digits with itself i.e. (12 X 12 = 144)
Note: If the difference is less than 10 then
say 9, then the product of 9X9 = 81 will
written as 081 and then combined with
the left part to obtain the answer.
Step 3: Combine the LEFT and RIGHT part,
262144
250 +12 12x12=144

(96)
2

Solution
(96)
96 x 96
9216
2
15
Step 1: When Squaring numbers close to
obtained by FIRST finding the deviation
from 100. (96-100 = - 4). Adding this
deviation to 96 we get i.e. (96 +(- 4) = 92)
obtained by Multiplying the deviation
with itself i.e. (- 4 X - 4 = 16)
9216
-4 -4

98 X 94

Solution
98 X 94
9212
17
Step 1: When Multiplying numbers close to
obtained by FIRST finding the difference
of numbers from 100. (98-100 = - 2) & (94-
100 = - 6). Then adding one of these
differences to the other number (98 +(- 6)
= 92) OR (94 +(-2) = 92), observe that both
answers are same.
obtained by Multiplying BOTH the
differences with each other i.e. (- 2 X - 6 =
12)
9212
-2 -6

104 X 108

Solution
104 X 108
11232
19
Step 1: When Multiplying numbers close to
obtained by FIRST finding the difference
of numbers from 100. (104-100 = 4) &
(108-100 = 8). Then adding one of these
differences to the other number (104 + 8)
= 112) OR (108 + 4) = 112), observe that
both answers are same.
obtained by Multiplying BOTH the
deviations with each other i.e. (4 X 8 = 32)
11232
4 8

104 X 98

Solution
104 X 98
10192
21
Step 1: When Multiplying numbers above and
below 100. The Left part of the answer is obtained
by FIRST finding the deviations of numbers from
100. (104-100 = 4) & (98-100 = -2). Then adding
one of these deviations to the other number (104
+ (- 2) = 102) OR (98 + 4) = 102), observe that both
answers are same.
Step 2: The Right part of the answer is obtained
by Multiplying BOTH the deviations with each
other i.e. (4 X (- 2)) = - 8 ).
BUT…
Step 3: WE CANNOT write -8 next to 102 like we
did in other questions, instead we subtract this
from 8 from 10200 i.e. (10200 - 8 = 10192)
4 -2

(74 X 68)

Solution
(74 X 68)
74
x 68
----
4232
80 (7 x 8 + 6 x 4 = 80)
----
5032 23
Step 1: When Multiplying any
random 2 DIGIT number, The Left
part of the answer is obtained by
multiplying the TENS digit of both
the numbers (7 X 6 = 42)
both the Units digit i.e. (4 X8 = 32),
Combine the LEFT and RIGHT part,
4232
AND…
Step 3: Multiply 7 into 8 plus 6 into
4 i.e. (7x8 +6 X 4 = 80), and write
the product of that below
HUNDREDS and TENS digit, ADD this
80 to the 4232 to GET 5032, as
shown here
7 x 6 = 42 4 x 8 = 32
56 24

5876 X 5

Solution
5876 X 5
58760
------- = 29380
2
25
Step 1: Multiply and divide the
Numerator and Denominator by 2.
Step 2: It is like multiplying the
number in numerator by 10 i.e. (5x2
=10), therefor append a 0 in the
end of the number. 58760
Step 3: Just divide it by 2, it is easy
and very fast.
X 2
2

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BY Arham Faraaz

Speed maths 12 tricks shortcuts fast vedic mental maths | solve in less than 3 seconds

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