You can also find other interesting puzzles from following websites
Puzzle Maker
A site that allows you to create puzzles and games for your newsletters, flyers, handouts, or classroom assignments.
Tantrix.com
The world's most twisted strategy game. A collection of spatial activities for up to 4 players. Combination of strategy, luck and skill.
InterWebWorld (By Owen King)
Play online Scrabble with real people for free.
HangMan (By Owen King)
The classic word game - playable online
Word Puzzles (By Mike Crick)
Two new word puzzles every day, scramble out!
Knight' Tour (By Vasanth Desai)
On the Chess Board, starting from any square, the knight has to visit all the squares in exactly 64moves. (See Moves058)
Gamepuzzles (By Kate Jones and...)
Play game puzzles for the joy of thinking.
The Ultimate Puzzle Site (By Rob van Gassel...)
The Ultimate Puzzle and Riddle Site by 3 Dutch students
The Nemmelgeb Murr Import Shop (By William Waite)
Wooden puzzles and puzzle artifacts from the galaxy of Nemmelgeb Murr.
Witzzle Lite Math Puzzles (By Jimmie Dean for Kaidy Education Resources)
Sharpen your mind by using Witzzle Pro series products.
Livewire Puzzles (By a home-based Canadian company)
The goal is to separate two interlocked parts. It has several medium-difficulty puzzles.
Aargon Logic Puzzles (By Steve Verreault)
The mind twisting sequel to Aargon using mirrors, lasers and color.(1999 ZDNet Shareware Award Finalist).
The Puzzling World of Barry R. Clarke (By Barry R. Clarke)
The puzzles invented and selected from Barry's column in The Daily Telegraph (UK) and from his various puzzle books.
Are you curious?
Curiouser.co.uk features paradoxical, puzzles, ideas, poems and designs. It is entertaining and thought provoking.
High IQed and Created puzzles
New creative puzzles designed by Lloyd King, author of Puzzles for the High IQ. You'll also find a weekly puzzle and an art gallery too!
Puzzle Express (Crosswords and more)
Word, logic and solitaire games for windows and pocket pcs. Also games to enjoy online.
The Enigmatic World Of Philip Carter
A collection of mind-blowing Brain Teasers, quiz questions and psychometric tests, all designed to stretch your wits to the limit and beyond from this prolific author of puzzle books, IQ Tests and trivia quizzes.
Thursday, August 16, 2007
Knowledge Base - Learn more facts to energize your brain
Characteristic of number 37
If we multiply 37 by 3, we will get 111.
Factors: (The number can be divided by)
If the number is an even number, it has a factor of 2. Example: 34
If the sum of all the digits is a multiple of 3 then the number has a factor of 3. Example: 324, because 3 + 2 + 4 = 9 which is a multiple of 3, Then we know 324 has a factor of 3.
If the last (right most) digit is 2 or 6, the next to the last digit is an odd number then this number has a factor of 4. If the last digit is 0, 4, or 8, the next to the last digit is an even number then the number has a factor of 4. You can also tell by multiplying 5 twice to see if the resulting number has 2 zeros at the end.
If the last digit of the number is 0 or 5, then this number has a factor of 5.
If the number is an even number and the sum of all digits of this number is a multiple of 3, then this number has a factor of 6.
Let X be the product of the last digit and 2, discard the last digit and minus X. Repeat the above until the resulting number is small enough. If the resulting number is zero or multiple of 7, this number has a factor of 7. Example: 2471, step 1: 1 x 2 = 2, step 2: discard the last digit of 2471 which is 247, Step 3: use 247 to minus 2, the resulting number is 245. (Since we still can not tell if 245 has a factor of 7 we continue on) Repeat the steps, 5 x 2 = 10, discard the last digit of 245 which is 24, use 24 to minus 10, the resulting number is 14 which is a multiple of 7. Then we can determine that this original number has a factor of 7.
Use the last 3 digit as a number, divide this number by 2 three times. If the result is a whole number then the original number has a factor of 8.
If the sum of all the digits is a multiple of 9 then the number has a factor of 9. Example: 182736, 1 + 8 + 2 + 7 + 3 + 6 = 27 which is a multiple of 9. Therefore, 182736 has a factor of 9.
If the last digit of the number is 0, then this number has a factor of 10.
Use the sum of all odd position single digits to minus the sum of all even position single digits. If the result is a multiple of 11, then the original number has a factor of 11. Example: 350834, the sum of all odd position single digits is 4 + 8 + 5 = 17 (from right to left), for all even position digits, the sum is 3 + 0 + 3 = 6. Since 17 - 6 = 11 is a multiple of 11, the original number has a factor of 11.
Pythagorean Theorem
If there is a 90 degree angle in the triangle, then
is true.
Where a and b are the 90 degree sides and c is the slant side.
Example 1:
For this special case, (3 x 3 - 1) / 2 = 4 and (3 x 3 + 1) / 2 = 5
(5 - 4) x (5 + 4) = 3 x 3
Example 2:
For this special case, (5 x 5 - 1) / 2 = 12 and (5 x 5 + 1) / 2 = 13
(13 - 12) x (13 + 12) = 5 x 5
Example 3:
For this special case, (12 x 12) / 4 - 1 = 35 and (12 x 12) / 4 + 1 = 37
(37 - 35) x (37 + 35) = 12 x 12
If we multiply 37 by 3, we will get 111.
Factors: (The number can be divided by)
If the number is an even number, it has a factor of 2. Example: 34
If the sum of all the digits is a multiple of 3 then the number has a factor of 3. Example: 324, because 3 + 2 + 4 = 9 which is a multiple of 3, Then we know 324 has a factor of 3.
If the last (right most) digit is 2 or 6, the next to the last digit is an odd number then this number has a factor of 4. If the last digit is 0, 4, or 8, the next to the last digit is an even number then the number has a factor of 4. You can also tell by multiplying 5 twice to see if the resulting number has 2 zeros at the end.
If the last digit of the number is 0 or 5, then this number has a factor of 5.
If the number is an even number and the sum of all digits of this number is a multiple of 3, then this number has a factor of 6.
Let X be the product of the last digit and 2, discard the last digit and minus X. Repeat the above until the resulting number is small enough. If the resulting number is zero or multiple of 7, this number has a factor of 7. Example: 2471, step 1: 1 x 2 = 2, step 2: discard the last digit of 2471 which is 247, Step 3: use 247 to minus 2, the resulting number is 245. (Since we still can not tell if 245 has a factor of 7 we continue on) Repeat the steps, 5 x 2 = 10, discard the last digit of 245 which is 24, use 24 to minus 10, the resulting number is 14 which is a multiple of 7. Then we can determine that this original number has a factor of 7.
Use the last 3 digit as a number, divide this number by 2 three times. If the result is a whole number then the original number has a factor of 8.
If the sum of all the digits is a multiple of 9 then the number has a factor of 9. Example: 182736, 1 + 8 + 2 + 7 + 3 + 6 = 27 which is a multiple of 9. Therefore, 182736 has a factor of 9.
If the last digit of the number is 0, then this number has a factor of 10.
Use the sum of all odd position single digits to minus the sum of all even position single digits. If the result is a multiple of 11, then the original number has a factor of 11. Example: 350834, the sum of all odd position single digits is 4 + 8 + 5 = 17 (from right to left), for all even position digits, the sum is 3 + 0 + 3 = 6. Since 17 - 6 = 11 is a multiple of 11, the original number has a factor of 11.
Pythagorean Theorem
If there is a 90 degree angle in the triangle, then
is true.
Where a and b are the 90 degree sides and c is the slant side.
Example 1:
For this special case, (3 x 3 - 1) / 2 = 4 and (3 x 3 + 1) / 2 = 5
(5 - 4) x (5 + 4) = 3 x 3
Example 2:
For this special case, (5 x 5 - 1) / 2 = 12 and (5 x 5 + 1) / 2 = 13
(13 - 12) x (13 + 12) = 5 x 5
Example 3:
For this special case, (12 x 12) / 4 - 1 = 35 and (12 x 12) / 4 + 1 = 37
(37 - 35) x (37 + 35) = 12 x 12
Happy Puzzling in 2007!
XTree
A little XTree consisting of two equilateral triangles has to be transformed into more triangles with several moves only. A 3-in-1 XTree-based theme puzzle from the 2006-2007 Winter Holiday season. By Peter Grabarchuk.
Play | Download
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