Unanswered maths Puzzle

82 Pages·2022·3.172 MB·English

by  Yogendra Singh

Unanswered maths Puzzle : First
Edition
Yogendra Singh
Copyright ©2022 scienceplusplus.com
Contributors -
scienceplusplus.com
Notice of Rights
All rights reserved. No part of this book or corresponding materials
(such as text, images)
may be reproduced or distributed by any means without prior written
permission of the copyright owner.
Dedicated Note
“ I thank to my friends and family who in- spired me to write such a
book like this. While writing this book, I have done a lot of trial and
experiments , so that no small mistake can be made. Still, if there is any
mistake in this book, I would like to apologize and I will correct that
mistake in the next version”
Yogendra Singh (software engineer) About The
Author & Editors
Yogendra Singh (software Engineer)
Yogendra Singh is an author & editor of this book. He is an advance
Math and Physics Expert at Science⁺⁺. He is a Founder of Science⁺⁺. He
is also Software Engineer as iOS developer . He have been helping
students for the last two years , internationally.
He is passionate about teaching, writing and sharing his knowledge
with others.
Introduction
Puzzle has been an important element within the study of mathematics
since past. Traditionally, we have also learned formal logic by studying
mathematical fact.
This book is generally related to Puzzle problems, which is based on
mathematics.
A lot of good and di fficult problems have been included in this book.
To solve these problems, you must have knowledge of mathematics.
INDEX
1. Puzzle #1 - Word numbers
2. Puzzle #2 - Strange number series
3. Puzzle #3 - False Morse
4. Puzzle #4 - River of colors
5. Puzzle #5 - Traffic accident
6. Puzzle #6 - Black and white
7. Puzzle #7 - A lot of beer
8. Puzzle #8 - Letter shift
9. Puzzle #9 - A common area
10. Puzzle #10 - Blats
11. Puzzle #11 - Odd one out
12. Puzzle #12 - Word numbers, part 2
13. Puzzle #13 - Strange sequence
14. Puzzle #14 - Making things add up
15. Puzzle #15 - Broken words
16. Puzzle #16 - The ant's challenge
17. Puzzle #17 - Long words
18. Puzzle #18 - All the numbers
19. Puzzle #19 - Common letters
20. Puzzle #20 - Lego wall
21. Puzzle #21 - Mixed-up phrase
22. Puzzle #22 - Playing with playing cards
23. Puzzle #23 - Thirds of words
24. Puzzle #24 - Counting letters
25. Puzzle #25 - Wyrd wyse
26. Puzzle #26 - The dragonflower of Nirandra
27. Puzzle #27 - Connections
28. Puzzle #28 - Curvy triangle
29. Puzzle #29 - Cross-squares
30. Puzzle #30 - Common digits
31. Puzzle #31 - Thirds of words
32. Puzzle #32 - Endgame
33. Puzzle #33 - Cross-squares
34. Puzzle #34 - Century calendar
35. Puzzle #35 - “L"
36. Puzzle #36 - Not quite sudoku
37. Puzzle #37 - Super cross-squares
38. Puzzle #38 - My birthday present
39. Puzzle #39 - Die averages
40. Puzzle #40 - “E"
41. Puzzle #41 - Getting to the pub
42. Puzzle #42 - Cross-squares
43. Puzzle #43 - Animal magic
44. Puzzle #44 - Newspaper delivery
45. Puzzle #45 - Sum of digits
46. Puzzle #46 - Cross-bricks
47. Puzzle #47 - All the numbers
48. Puzzle #48 - Letter count
49. Puzzle #49 - Cross-squares
50. Puzzle #50 - Christmas cat-astrophe
51. Puzzle #51 - More than the Twelve Days of Christmas
52. Puzzle #52 - Christmas songs
53. Puzzle #53 - Happy 2019!
54. Puzzle #54 - On and off
55. Puzzle #55 - Cross-bricks
56. Puzzle #56 - Brick wall
57. Puzzle #57 - Repeated digits
58. Puzzle #58 - A bunch of fives
59.
60. Puzzle #60 - Remainders
61. Puzzle #61 - Swimming pool statistics
62. Puzzle #62 - Making things add up
63. Puzzle #63 - Super cross-squares
64. Puzzle #64 - Mastermind
65. Puzzle #65 - Strange sequence
66. Puzzle #66 - All the digits
67. Puzzle #67 - Cross-bricks
68. Puzzle #68 - Multiplicative containment
69. Puzzle #69 - Base-ically correct
70. Puzzle #70 - Corner to corner
71. Puzzle #71 - BPMVJ INW XLOA …
72. Puzzle #72 - Cross-squares
73. Puzzle #73 - Fishing competition
74. Puzzle #74 - Bad calendar design
75. Puzzle #75 - Keeping it odd
76. Puzzle #76 - Digit-sum divisibility
77. Puzzle #77 - Liar, liar ...
78. Puzzle #78 - Cross-interlock
79. Puzzle #79 - Mastermind
80. Puzzle #80 - Strange sequence
81. Puzzle #81 - Pythagoras' ladder
82. Puzzle #82 - Mississippi mix-up
83. Puzzle #83 - Triangles
84. Puzzle #84 - Ordered prime numbers
85. Puzzle #85 - A bunch of fives
86. Puzzle #86 - Back to base-ics
87. .Puzzle #87 - Interesting property
88. Puzzle #88 - Inverted time
89. Puzzle #89 - Encircled circles
90. Puzzle #90 - My birthday party
91. Puzzle #91 - Prime indivisibility
92. Puzzle #92 - Super cross-squares
93. Puzzle #93 - My broken calculator
94. Puzzle #94 - Mastermind
95. Puzzle #95 - A powerful sum
96. Puzzle #96 - Consonants and vowels
97. Puzzle #97 - Prime sum
98. Puzzle #98 - Circle tower
99. Puzzle #99 - Cross-bricks
100. Puzzle #100 - Single-digit prime factors
101. Puzzle #101 - Star quality
102. Puzzle #102 - Election results
103. Puzzle #103 - Christmas word search
104. Puzzle #104 - Christmas letters
105. Puzzle #105 - Long division
106. Puzzle #106 - Overflow
107. Puzzle #107 - At sixes and sevens
108. Puzzle #108 - Common-digit squares
109. Puzzle #109 - Palindromes
110. Puzzle #110 - Encircled circles
111. Puzzle #111 - Valentinian mathematics
112. Puzzle #112 - Pyramids
113. Puzzle #113 - Digital dates
114. Puzzle #114 - Rectangle of colors
115. Puzzle #115 - On a roll
116. Puzzle #116 - A bunch of fives
117. Puzzle #117 - Frankie's journey home
118. Puzzle #118 - Infinite resistance network
119. Puzzle #119 - Word sum
120. Puzzle #120 - Number square
121. Puzzle #121 - Maximum product
122. Puzzle #122 - Divided factorial
123. Puzzle #123 - Packed circles
124. Puzzle #124 - Cross-bricks
125. Puzzle #125 - One digit at a time
126. Puzzle #126 - What's my PIN?
127. Puzzle #127 - Nearly identical heptagons
128. Puzzle #128 - Perfect pinball
129. Puzzle #129 - Word sums
130. Puzzle #130 - What's the difference?
131. Puzzle #131 - Date products
132. Puzzle #132 - Outside broadcast schedule
133. Puzzle #133 - Cross-interlock
134. Puzzle #134 - Encircled circles
135. Puzzle #135 - Base-reversible numbers
136. Puzzle #136 - My broken calculator
137. Puzzle #137 - Square sequence
138. Puzzle #138 - Pythagorean sculpture
139. Puzzle #139 - Weird sums
140. Puzzle #140 - A weighty problem
141. Puzzle #141 - The square root of THIRTYSIX
142. Puzzle #142 - My birthday meal
143. Puzzle #143 - A bunch of fives
144. Puzzle #144 - Display segmentation
145. Puzzle #145 - Calculators at the ready!
146. Puzzle #146 - Old money
147. Puzzle #147 - Sum of cubes
148. Puzzle #148 - Simple roots
149. Puzzle #149 - Microlights
150. Puzzle #150 - Triangle of colors
151. Puzzle #151 - Carafe contents
152. Puzzle #152 - Cross-bricks
153. Puzzle #153 - Square numbers from square numbers
154. Puzzle #154 - Segment count
155. Puzzle #155 - Making nothing
156. Puzzle #156 - Christmas booze and Christmas cheer
157. Puzzle #157 - Odd word out
158. Puzzle #158 - Shared area
159. Puzzle #159 - Common digits
160. Puzzle #160 - Primerian currency
161. Puzzle #161 - At sixes and sevens
162. Puzzle #162 - Letter swap
163. Puzzle #163 - Heptagonal flowers
164. Puzzle #164 - Digit cancellation
165. Puzzle #165 - Codebreaker
166. Puzzle #166 - Multiplicative digital roots
167. Puzzle #167 - Calculators at the ready!
168. Puzzle #168 - Number products, word products
169. Puzzle #169 - Thirteen, squared
170. Puzzle #170 - Twenty-twenty
171. Puzzle #171 - A powerful sequence
172. Puzzle #172 - 1, 7, and 2
173. Puzzle #173 - Up-and-down numbers
174. Puzzle #174 - Word search
175. Puzzle #175 - Seven segment mix-up
176. Puzzle #176 - Mastermind
177. Puzzle #177 - Odd dates
178. Puzzle #178 - Powerful words
179. Puzzle #179 - Five-eleven
180. Puzzle #180 - Circle, quartered
181. Puzzle #181 - End-of-lockdown meal
182. Puzzle #182 - set of four different digits
183. Puzzle #183 - Basically zero
184. Puzzle #184 - Triangle, circle, square
185. Puzzle #185 - Overflow
186. Puzzle #186 - Counting letters
187. Puzzle #187 - Arc, circle, square
188. Puzzle #188 - Cross-interlock
189. Puzzle #189 - All the digits
190. Puzzle #190 - Printer problem
191. Puzzle #191 - Letter sums
192. Puzzle #192 - Arc, circle, square 2
193. Puzzle #193 - Simple addition
194. Puzzle #194 - Another birthday
195. Puzzle #195 - Just the once
196. Puzzle #196 - Basic addition
197. Puzzle #197 - Cross-bricks
198. Puzzle #198 - Animal magic
199. Puzzle #199 - The value of zero
200. Puzzle #200 - Infinite fractal tree
201. Puzzle #201 - Time flies, slowly
202. Puzzle #202 - Filling a tank
203. Puzzle #203 - Four into five?
204. Puzzle #204 - Laser reflection
205. Puzzle #205 - Two fours
206. Puzzle #206 - Connected holes
207. Puzzle #207 - At sixes and sevens
208. Puzzle #208 - Chaos and order
209. Puzzle #209 - Special dates
210. Puzzle #210 - Sums, products, and sums of products
211. Puzzle #211 - Common letters
212. Puzzle #212 - Cross numbers
213. Puzzle #213 - Fenced in
214. Puzzle #214 - Mastermind
215. Puzzle #215 - Valentine word search
216. Puzzle #216 - Special times
217. Puzzle #217 - Five times the fun
218. Puzzle #218 - Base-ically correct
219. Puzzle #219 - Intersecting circles
220. Puzzle #220 - Pentagonal sequence
Let’s Start …
Puzzle #1 - Word numbers:
If all the numbers from zero to one billion were written out in English
words, which letters of the alphabet would never be used?
Puzzle #2 - Strange number series: 6, 4, 7, 20, 15, 13, ?
The 7th number in this series is also the final number. What is it?
Puzzle #3 - False Morse:
. - - . . . - - - . . - - . . . - . . .
I received the above string of 20 morse dots and dashes yesterday.
Unfortunately, the spaces which should be used to separate the decoded
letters are missing. All I know is that the message is a 6-letter English
word with some connection to this post. Can you separate the dots and
dashes into the correct groups, and find the word?
Puzzle #4 - River of colors:
AAAABBCCDDEEEEEEEEGGII
IIILLLMMNNNNNOOOOOOPPP
QRRRRRRSSTTTUUUUUUVVWY
Use all of the above 66 letters to create the names of 12 colors. Select
the ones with an equal number of consonants and vowels, and extract
the 4th letter from each. You should be able to rearrange these letters to
form the name of a well-known river. What is the river?
Puzzle #5 - Tra ffic accident
My town of Gridsville is a very easy place to navigate. All roads run
either east-west with names E1, E2, E3, and so on, or north-south with
names N1, N2, N3, etc.. I live at the intersection of E4 and N4, and my
friend lives at the intersection of E8 and N8. I've grown tired of
puzzlers asking how many ways I can get to my friend's house by the
shortest route. I'll tell you that the answer is 70 - four intersections north
and four east in any order. However, today, I noticed that there'd been
an accident at the intersection of E6 and N6, and no traffic is allowed to
enter from any direction. How many ways are there to get to my friend's
house by the shortest route now?
Puzzle #6 - Black and white
By changing one letter at a time, it's possible to turn BLACK into
WHITE, with all the intermediate steps being valid English words
which aren't proper nouns. What's the shortest sequence of words you
can find which will achieve this?
Puzzle #7 - A lot of beer
BEER + BEER + BEER + BEER + BEER + BEER + BEER = DRUNK
Replace each letter with a digit from 0 to 9 to make this sum add up. No
two letters can have the same digit, and no two digits can share the
same letter. Neither B nor D can be zero.
Puzzle #8 - Letter shift
CANJD BLDKK XPWYX QSNVI BHEXA MQXUT IRMHP
This is a well-known phrase in which each letter has been shifted up the
alphabet by one of two amounts. Letters in odd positions have been
shifted by a different amount to letters in even positions. The shift is
circular, so the letter immediately above "Z" is "A". The blocks of five
letters shown here are for readability, and don't indicate word
boundaries. What is the phrase?
Puzzle #9 - A common area
I have a surface area of 1247.4 square centimeters, and I can be found
in almost every home. What am I?
Puzzle #10 - Blats
The town of Moneyville has a coinage system based on blats. Coins of
value 5 blats and above are bulky, so few people carry them - however,
coins of value 1, 2, 3 and 4 blats are smaller and lighter, and people
usually pay for their goods using only these four coin types. Last time I
was in Moneyville, I wanted to buy a toy costing 10 blats. I can tell you
that I was carrying plenty of coins of values 1, 2, 3, and 4 blats, but
nothing larger. How many ways could I create a total of exactly 10 blats
to pay the shopkeeper?
Puzzle #11 - Odd one out
CARAVAN, EXQUISITE, GERANIUM, HOLOGRAM,
LAMINATED, MUSTARD, PHOENIX, SYMPHONY, VERDIGRIS
Which of these nine words is the odd one out, and why?
Puzzle #12 - Word numbers, part 2
If all the positive integers up to one trillion are written out in English
words, the six letters C, J, K, P, Q and Z won't be used. Find the
smallest positive integer which, when written out in English words, uses
all the other twenty letters at least once.
Puzzle #13 - Strange sequence
A, G, G, G, G, W, V, E, G, E, G, ...
What is the twelfth and final entry in this sequence?
Puzzle #14 - Making things add up
Group the digits 1 to 6 in such a way as to form three numbers less than
1000, where the largest equals the other two multiplied together.
Puzzle #15 - Broken words
HIS, NEW, OAT, ORE, PER, PET, RAM, REF, SPA, THE, TIC, TOG
Connect these twelve 3-letter words to form four 9-letter words.
Puzzle #16 - The ant's challenge
Langton the ant falls asleep during a meeting, and awakes to find that
his colleagues have dragged him to the centre of 5 by 5 grid ... though
they've thoughtfully left him with a drop of nectar for food. Being a
simple creature, Langton follows simple rules to get off the grid and
rejoin his colony. If the square in the grid where he finds himself
contains nectar, he collects it and turns left; conversely, if the square
has no nectar in it, he deposits some for later and turns right. He then