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 |
| ...................................... |
| 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 |