Maths Solving made easy!!!!
Beauty of Mathematics
Sequential Inputs of numbers with 8
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
Sequential 1’s with 9
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 + 10 = 1111111111
Sequential 8’s with 9
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
Numeric Palindrome with 1’s
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
Without 8
12345679 x 9 = 111111111
12345679 x 18 = 222222222
12345679 x 27 = 333333333
12345679 x 36 = 444444444
12345679 x 45 = 555555555
12345679 x 54 = 666666666
12345679 x 63 = 777777777
12345679 x 72 = 888888888
12345679 x 81 = 999999999
Sequential Inputs of 9
9 x 9 = 81
99 x 99 = 9801
999 x 999 = 998001
9999 x 9999 = 99980001
99999 x 99999 = 9999800001
999999 x 999999 = 999998000001
9999999 x 9999999 = 99999980000001
99999999 x 99999999 = 9999999800000001
999999999 x 999999999 = 999999998000000001
………………………………..
Amazing Prime Numbers
Sequential Inputs of 6
6 x 7 = 42
66 x 67 = 4422
666 x 667 = 444222
6666 x 6667 = 44442222
66666 x 66667 = 4444422222
666666 x 666667 = 444444222222
6666666 x 6666667 = 44444442222222
66666666 x 66666667 = 4444444422222222
666666666 x 666666667 = 444444444222222222
………………………………..
Here are few amazing prime numbers, these prime numbers were proved by the XVIIIth century.
31
331
3331
33331
333331
3333331
33333331
The next number 333333331 is not a prime number. Whereas it is multiplied by 17 x 19607843 = 333333331.
Names for Powers of 10
Values
Zero’s
Names
100
0
One
101
1
Ten
102
2
Hundred
103
3
Thousand
104
4
Myriad
106
6
Million
109
9
Billion
1012
12
Trillion
1015
15
Quadrillion
1018
18
Quintillion
1021
21
Sextillion
1024
24
Septillion
1027
27
Octillion
1030
30
Nonillion
1033
33
Decillion
1036
36
Undecillion
1039
39
Duodecillion
1042
42
Tredecillion
1045
45
Quattuordecillion
1048
48
Quindecillion
1051
51
Sexdecillion
1054
54
Septdecillion / Septendecillion
1057
57
Octodecillion
1060
60
Nondecillion / Novemdecillion
1063
63
Vigintillion
1066
66
Unvigintillion
1069
69
Duovigintillion
1072
72
Trevigintillion
1075
75
Quattuorvigintillion
1078
78
Quinvigintillion
1081
81
Sexvigintillion
1084
84
Septenvigintillion
1087
87
Octovigintillion
1090
90
Novemvigintillionn
1093
93
Trigintillion
1096
96
Untrigintillion
1099
99
Duotrigintillion
10102
102
Trestrigintillion
10120
120
Novemtrigintillion
10123
123
Quadragintillion
10138
138
Quinto-Quadragintillion
10153
153
Quinquagintillion
10180
180
Novemquinquagintillion
10183
183
Sexagintillion
10213
213
Septuagintillion
10240
240
Novemseptuagintillion
10243
243
Octogintillion
10261
261
Sexoctogintillion
10273
273
Nonagintillion
10300
300
Novemnonagintillion
10303
303
Centillion
10309
309
Duocentillion
10312
312
Trescentillion
10351
351
Centumsedecillion
10366
366
Primo-Vigesimo-Centillion
10402
402
Trestrigintacentillion
10603
603
Ducentillion
10624
624
Septenducentillion
10903
903
Trecentillion
102421
2421
Sexoctingentillion
103003
3003
Millillion
103000003
3000003
Milli-Millillion
Trick Play
Trick 1: Number below 10
Step1: Think of a number below 10.
Step2: Double the number you have thought.
Step3: Add 6 with the getting result.
Step4: Half the answer, that is divide it by 2.
Step5: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.
Answer: 3
Trick 2: Any Number
Step1: Think of any number.
Step2: Subtract the number you have thought with 1.
Step3: Multiply the result with 3.
Step4: Add 12 with the result.
Step5: Divide the answer by 3.
Step6: Add 5 with the answer.
Step7: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.
Answer: 8
Trick 3: Any Number
Step1: Think of any number.
Step2: Multiply the number you have thought with 3.
Step3: Add 45 with the result.
Step4: Double the result.
Step5: Divide the answer by 6.
Step6: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.
Answer: 15
Trick 4: Same 3 Digit Number
Step1: Think of any 3 digit number, but each of the digits must be the same as. Ex: 333, 666.
Step2: Add up the digits.
Step3: Divide the 3 digit number with the digits added up.
Answer: 37
Trick 5: 2 Single Digit Numbers
Step1: Think of 2 single digit numbers.
Step2: Take any one of the number among them and double it.
Step3: Add 5 with the result.
Step4: Multiply the result with 5.
Step5: Add the second number to the answer.
Step6: Subtract the answer with 4.
Step7: Subtract the answer again with 21.
Answer: 2 Single Digit Numbers.
Trick 6: 1, 2, 4, 5, 7, 8
Step1: Choose a number from 1 to 6.
Step2: Multiply the number with 9.
Step3: Multiply the result with 111.
Step4: Multiply the result by 1001.
Step5: Divide the answer by 7.
Answer: All the above numbers will be present.
Trick 7: 1089
Step1: Think of a 3 digit number.
Step2: Arrange the number in descending order.
Step3: Reverse the number and subtract it with the result.
Step4: Remember it and reverse the answer mentally.
Step5: Add it with the result, you have got.
Answer: 1089
Trick 8: x7x11x13
Step1: Think of a 3 digit number.
Step2: Multiply it with x7x11x13.
Ex: Number: 456, Answer: 456456
Trick 9: x3x7x13x37
Step1: Think of a 2 digit number.
Step2: Multiply it with x3x7x13x37.
Ex: Number: 45, Answer: 454545
Trick 10: 9091
Step1: Think of a 5 digit number.
Step2: Multiply it with 11.
Step3: Multiply it with 9091.
Ex: Number: 12345, Answer: 1234512345
Day of the Date
Day of the Week:
January has 31 days. It means that every date in February will be 3 days later than the same date in January(28 is 4 weeks exactly). The below table is calculated in such a way. Remember this table which will help you to calculate.
January
0
February
3
March
3
April
6
May
1
June
4
July
6
August
2
September
5
October
0
November
3
December
5
Step1: Ask for the Date. Ex: 23rd June 1986
Step2: Number of the month on the list, June is 4.
Step3: Take the date of the month, that is 23
Step4: Take the last 2 digits of the year, that is 86.
Step5: Find out the number of leap years. Divide the last 2 digits of the year by 4, 86 divide by 4 is 21.
Step6: Now add all the 4 numbers: 4 + 23 + 86 + 21 = 134.
Step7: Divide 134 by 7 = 19 remainder 1.
The reminder tells you the day.
Sunday
0
Monday
1
Tuesday
2
Wednesday
3
Thursday
4
Friday
5
Saturday
6
Answer: Monday