Math Tricks

Sum of n consecutive even numbers = n*(n+1)

Step 1 : Find the sum of first 6 even numbers

Step 2 : n= 6

Step3 :n*(n+1) = 6*(6+1) = 6*7

Step 4 : 42 (It’s the final answer)

Example  1 : 18 x 12

Step 1 :  18 * (10 + 2)

Step 2 :  180 + 36.= 216

Step 3 :  216 (It’s the final answer)

Example  1 : 107*107

Step 1 : Here the base number we have to consider is 100

Step 2 : 107 – 100 =7

Step 3 : The last two digits = 7*7 = 49

Step 4 : The first two digits = 107 + 7 = 114

Step 6 : 11449 (It’s the final answer)

Please try :

1. 103*103
2. 108*108
3. 104*104

Example  1 : 42*48 = 2016

Step 1 : The numbers are partially complementary if the sum of their unit place digits is 10 and the tens place digits are same i.e. 42*48

Step 2 : First 2 digits will be 4*5 = 20 (i.e. multiply the first digit with immediate higher number )

Step 3 : Last 2 digits of the result can be obtained by multiplying their unit place digits i.e..2*8 = 16

Step 4 : 2016 (It’s the final answer)

Please try:

1. 53*57
2. 36*34
3. 63*67