This document contains several math puzzles and tricks with their solutions. It includes puzzles involving dividing a number into parts in a specific ratio, identifying a unique number, calculating correct and incorrect answers on a test, determining a date based on age information, inserting an operator to make an equation correct, using only zeros and operators to get a target number, and continuing a number pattern. Solutions are provided for each puzzle. Additionally, the document discusses Roman numerals and their values and relationships.

1. 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
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2. Names for Powers of 10
Know the names of the Power 10 which is really amazing. Enjoy the Interesting Facts of numbers list.
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

3. 1090
90 Novemvigintillionn
1093
93 Trigintillion
1096
96 Untrigintillion
1099
99 Duotrigintillion
10100
100 Googol
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
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Amazing Prime Numbers
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.
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4. Age Calculation
Age Calculation Tricks:
Step1: Multiply the first number of the age by 5. (If <10, ex 5, consider it as 05. If it is >100, ex: 102, then
take 10 as the first digit, 2 as the second one.)
Step2: Add 3 to the result.
Step3: Double the answer.
Step4: Add the second digit of the number with the result.
Step5: Subtract 6 from it.
Trick 1: Birthday magic
Step1: Add 18 to your birth month.
Step2: Multiply by 25.
Step3: Subtract 333.
Step4: Multiply by 8.
step5: Subtract 554.
step6: Divide by 2.
step7: Add your birth date.
step8: Multiply by 5.
step9: Add 692.
step10: Multiply by 20.
step11: Add only the last two digits of your birth year.
step12: Subtract 32940 to get your birthday!.
Example: If the answer is 123199 means that you were born on December 31, 1999. If the answer is
not right, you followed the directions incorrectly or lied about your birthday.
Math Magic/Tricks
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

5. 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.

6. 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

7. Trick 1: 2's trick
Step1: Think of a number .
Step2: Multiply it by 3.
Step3: Add 6 with the getting result.
Step4: divide it by 3.
Step5: Subtract it from the first number used.
Answer:2
Trick 2: Any Number
Step1: Think of any number.
Step2: Double the number.
Step3: Add 9 with result.
Step4: sub 3 with the result.
Step5: Divide the result by 2.
Step6: Subtract the number with the number with first number started with.
Answer: 3
Trick 3: Any three digit Number
Step1: Add 7 to it.
Step2: Multiply the number with 2.
Step3: subtract 4 with the result.
Step4: Divide the result by 2.
Step5: Subtract it from the number started with.
Answer: 5
Maths Tricks with Numbers
Trick 1:Quick Square
Step1: If you need to square a 2 digit number ending in 5, you can do so very easily with this trick.
Step2: Mulitply the first digit by itself + 1, and put 25 on the end.
Step3:That is all!
Step4: Ex:25 ie(2*(2+1))&25
Answer:625
Trick 2: Multiply by 5
Step1: Take any number, then divide it by 2
Step2:If the result is whole, add a 0 at the end.
Step3: If it is not, ignore the remainder and add a 5 at the end.
Step4: 2682 x 5 = (2682 / 2) & 5 or 0
Step5:2682 / 2 = 1341 (whole number so add 0)
Step6:Ans:13410

8. Step7:Let’s try another:5887 x 5,2943.5 (fractional numbers (ignore remainder, add 5)
Answer: 29435
Trick 3: Tough Multiplication
Step1: If you have a large number to multiply and one of the numbers is even, you can easily subdivide to get to
the answer
Step2:Ex:32 x 125, is the same as: 16 x 250 is the same as: 8 x 500 is the same as: 4 x 1000 = 4,000
Trick 4: Subtracting from 1,000
Step1:To subtract a large number from 1,000 you can use this basic rule: subtract all but the last number from 9,
then subtract the last number from 10:
Step2:Ex:1000-648
Step3: subtract 6 from 9 = 3
Step4: subtract 4 from 9 = 5
step5: subtract 8 from 10 = 2
Answer: 352
Roman Numerals
Roman Numbers :
Roman numerals were originated in ancient Rome. It is based on certain letters which are given values
as numerals.
Roman Numerals are widely used nowadays, in clocks, books, numberlists, etc.,.
1 I
2 II
3 III
4 IV
5 V
6 VI
7 VII
8 VIII
9 IX
10 X
11 XI
12 XII
13 XIII
14 XIV
21 XXI
22 XXII
23 XXIII
24 XXIV
25 XXV
26 XXVI
27 XXVII
28 XXVIII
29 XXIX
30 XXX
31 XXXI
32 XXXII
33 XXXIII
34 XXXIV
41 XLI
42 XLII
43 XLIII
44 XLIV
45 XLV
46 XLVI
47 XLVII
48 XLVIII
49 XLIX
50 L
51 LI
52 LII
53 LIII
54 LIV
61 LXI
62 LXII
63 LXIII
64 LXIV
65 LXV
66 LXVI
67 LXVII
68 LXVIII
69 LXIX
70 LXX
71 LXXI
72 LXXII
73 LXXIII
74 LXXIV
81 LXXXI
82 LXXXII
83 LXXXIII
84 LXXXIV
85 LXXXV
86 LXXXVI
87 LXXXVII
88 LXXXVIII
89 LXXXIX
90 XC
91 XCI
92 XCII
93 XCIII
94 XCIV

9. 15 XV
16 XVI
17 XVII
18 XVIII
19 XIX
20 XX
35 XXXV
36 XXXVI
37 XXXVII
38 XXXVIII
39 XXXIX
40 XL
55 LV
56 LVI
57 LVII
58 LVIII
59 LIX
60 LX
75 LXXV
76 LXXVI
77 LXXVII
78 LXXVIII
79 LXXIX
80 LXXX
95 XCV
96 XCVI
97 XCVII
98 XCVIII
99 XCIX
100 C
200 CC 300 CCC 400 CD 500 D 600 DC 700 DCC 800 DCCC 900 CM 1000 M
PUZZLE 1
Divide 110 into two parts so that one will be 150 percent of the other. What
are the 2 numbers?
PUZZLE 2
The following number is the only one of its kind. Can you figure out what is
so special about it? 8,549,176,320.
PUZZLE 3
Jennifer took a test that had 20 questions. The total grade was computed by
awarding 10 points for each correct answer and deducting 5 points for each
incorrect answer. Jennifer answered all 20 questions and received a score
of 125. How many wrong answers did she have?
PUZZLE 4
When asked about his birthday, a man said:"The day before yesterday I was
only 25 and next year I will turn 28."This is true only one day in a year -
when was he born?
PUZZLE 5
The following equation is wrong: 101 - 102 = 1. Insert one mathematical
operator to make it correct.

10. PUZZLE 6
NOTHING BUT ZEROS!
Use FIVE 0's and any math operators to get 120.
PUZZLE 7
What is the next number in the series? 01, 1011, 111021, 31101211, ?
SOLUTIONS
PUZZLE 1 : 44 and 66
PUZZLE 2 : It's the only number that contains all of the digits in alphabetical
order.
PUZZLE 3 : 5. She had five wrong answers. If Jennifer had answered all 20
questions correctly, she would have scored 200. Since she only scored 125,
she must have lost 75 points. Since each incorrect answer results in a total
loss of 15 points (10 for not getting it correct and 5 for answering incorrectly)
she must have missed 5 questions. 5 x 15 = 75, 200 - 75 = 125.
PUZZLE 4 : He was born on December 31st and spoke about it on January
1st.
PUZZLE 5 : 101-10^2 = 1
PUZZLE 6 : ( 0! + 0! + 0! + 0! + 0! )! = 120
PUZZLE 7 : 132110111221...... first its 01 (one 0, one 1) etc.... so its one 3
two 1 one 0 one 1 one 2 and two 1!!!!