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Subj:     Math4 - Supplement 2
                 (Includes 21 jokes and articles, 13 1031,8,cf,vXT4,5)

Fractal from
Best Animation
Includes the following:  MATH PROB. - Simple Algebra Question (DU)
.........................MATH PROB. - The Gold Chain (S458b, S637)
.........................MATH PROB. - String On The Cylinder (S458)
.........................MATH PROB. - The Rectangle At The Corner (S456)
.........................MATH PROB. - The Sum Of Real Numbers (S455)
.........................MATH PROB. - 21 Factorial (S455b)
.........................MATH PROB. - Winding Vine Length (S454b)
.........................MATH PROB. - Two Ladders (S453b)
.........................MATH PROB. - Ant On A Box (S453)
.........................MATH PROB. - 27 Cubes (S452)
.........................MATH PROB. - The Anchor (S452b)
.........................MATH PROB. - 4 Trees (S451)
.........................MATH PROB. - Analog Clock Problem 1 (S448b)
.........................MATH PROB. - Five Hats (S448b)
.........................MATH PROB. - Train Bridge (S447b)
.........................Math Prob. - Finding The Counterfeit Coin (S439b)
.........................Math Prob. - Figure this Pattern (S347b)
.........................LOGIC PROB. - Beanstalk
.........................LOGIC PROB. - Dog, Chicken, And Rice At River (S454)
.........................PUZZLE - Square Division (S457)
.........................PUZZLE - Adjacency Grid (S456b)
.........................PUZZLE - Chess Puzzle I (S449 in games-supp)
.........................PUZZLE - 9 Dots And 4 Lines (S448)

The MATH1 file are nonmathematical math jokes
    MATH2 file are mathematical jokes
    Math3 file contains tests, and formulas
    Math4 file contains problems
    Math5 file contains quotes
    MATH6 file contains lymerics, short jokes, stories, and QA.

To see other type puzzles go to the following:
         Bottle Caps  -  (See whole file)
         BRAIN TEASERS-  (See whole file)
         ILLUSIONS    -  (See whole file)
         Riddles file -  (See whole file)
         WORD PUZZLES -  (See whole file)
         TEST FACES   -  (See whole file)
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Subj:     MATH PROB. - Simple Algebra Question (DU)
          From: Dawn Macie on Facebook on 10/13/2016
 Source: https://onsizzle.com/i/this-simple-algebra-ques
.........tion-is-confusing-the-internet-can-you-2741544
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Subj:     MATH PROB. - The Gold Chain (S458b, S637)
          From: Gray's Brain Teasers on 10/30/05
 Source: (Removed from 256.com/gray/teasers)

 A woman wants to buy a painting at an auction where you bid
 grams of gold instead of money.  She owns a gold chain made
 of 23 interlocking loops, each weighing 1 gram.  She wants
 to go to a jeweler before the auction to cut the minimum
 number of loops that would allow her to pay any sum from 1
 to 23.  For example, she could pay a 13 gram price with a
 12 link chain and a single link.  After much thought, she
 figures out a way to do it by cutting just 2 of the loops
 in the chain.  How many loops are in the pieces of chains
 that she has after the 2 cuts?
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 To see the solution click
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Subj:     MATH PROB. - String On The Cylinder (S458)
          From: Puzzles And Brain Teasers 10/29/2005
 At: http://www.syvum.com/cgi/online/serve.cgi
...../contrib/teasers/string1.tdf?0
 
A cylinder 72 cm high has a circumference of
16 cm.  A string makes exactly 6 complete
turns round the cylinder while its two ends
touch the cylinder's top and bottom.

How long is the string in cm?

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Subj:     MATH PROB. - The Rectangle At The Corner (S456)
          From: Puzzles and Brain Teasers on 10/20/2005
 At: http://www.syvum.com/cgi/online/serve.cgi
...../contrib/teasers/rectang1.tdf?0
 
In the left figure, the rectangle at
the corner measures 3 cm x 6 cm.

What is the radius of the circle in cm?

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Subj:     MATH PROB. - The Sum Of Real Numbers (S455)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#sumOfRealNumbers

 The sum of N real numbers (not necessarily unique) is 20.
 The sum of the 3 smallest of these numbers is 5.  The sum
 of the 3 largest is 7. What is N?

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Subj:     MATH PROB. - 21 Factorial (S455b)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#21factorial

 21!=510909x21y1709440000

 Without calculating 21!, what are the digits marked x and y?

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Subj:     MATH PROB. - Winding Vine Length (S454b)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#windingVineLength

 There is a tree 20 feet high, with a circumference of 3 feet.
 A vine starts at the base of the tree and winds around the
 tree 7 times before reaching the top. How long is the vine?

 Hint: There is an easy way to solve this problem which only
 uses junior high school math

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Subj:     MATH PROB. - Two Ladders (S453b)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#twoLadders

 Two ladders are placed cross-wise in an alley to form a
 lopsided X-shape.  Both walls of the alley are perpendicular
 to the ground.  The top of the longer ladder touches the
 alley wall 5 feet higher than the top of the shorter ladder
 touches the opposite wall, which in turn is 4 feet higher
 than the intersection of the two ladders.  How high above
 the ground is that intersection?

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Subj:     MATH PROB. - Ant On A Box (S453)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#antOnABox

 A 12 by 25 by 36 inch box is lying on the floor on one of
 its 25 by 36 inch faces.  An ant, located at one of the
 bottom corners of the box, must crawl along the outside of
 the box to reach the opposite bottom corner.  It can walk
 on any of the box faces except for the bottom face, which
 is in flush contact with the floor.  What is the length of
 the shortest such path?

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Subj:     MATH PROB. - 27 Cubes (S452)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#27cubes

 A cube is to be cut into 27 smaller cubes (just like a
 Rubik's Cube).  It is clear that this can be done with
 6 cuts to the original cube (2 in the x, 2 in the y, 2
 in the z).  Now, assuming that you can arrange the pieces
 however you like before doing a cut, what is the minimum
 number of cuts required to obtain the 27 smaller cubes?

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Subj:     MATH PROB. - The Anchor (S452b)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#anchor

 A boat of mass M1 is floating in a lake of water.  The
 volume of the lake is V.  The water surface is initially
 at height h, as measured relative to the lake's floor.
 There is an anchor of mass M2 sitting on the boat's deck.
 A person standing on deck picks up the anchor and throws
 it overboard.  The anchor then sinks to the bottom of the
 lake, and the water surface height becomes h'.

 Which of the following qualitiative relationships is
 correct?  What assumptions are you making about the
 values of M1, M2, h, and V?

 1. h' ? h
 2. h' = h
 3. h' > h

 Note: From the US Navy's nuclear power program interview
 for naval officers!

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Subj:     MATH PROB. - 4 Trees (S451)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#placingTrees

 You are a landscape specialist, and have been asked to
 design a garden for a math professor.  He wants four trees
 that are all equidistant from each other.  How do you place
 the trees?

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Subj:     MATH PROB. - Analog Clock Problem 1 (S448b)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#analogClock1

 An analog clock reads 3:15. What is the angle between the
 minute hand and hour hand?

 Soultion backwards: seergedflahenodnaneves

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Subj:     MATH PROB. - Five Hats (S448b)
          From: William Wu of U. C. Berkeley
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#3hats

 There are 3 black hats and 2 white hats in a box.  Three
 men we will call them A, B, ? C) each reach into the box
 and place one of the hats on his own head.  They cannot
 see what color hat they have chosen.

 The men are situated in a way that A can see the hats on
 B and C's heads, B can only see the hat on C's head and
 C cannot see any hats.  When A is asked if he knows the
 color of the hat he is wearing, he says no.  When B is
 asked if he knows the color of the hat he is wearing he
 says no.  When C is asked if he knows the color of the
 hat he is wearing he says yes and he is correct.  What
 color hat and how can this be?
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Subj:     MATH PROB. - Train Bridge (S447b)
          From: William Wu of U. C. Berkeley
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#trainBridge

 A man is 3/8's of the way across a train bridge, when he
 hears the whistle of an approaching train behind him. It
 turns out that he can run in either direction and just
 barely make it off the bridge before getting hit.  If he
 is running at 15 mph, how fast is the train traveling?
 Assume the train travels at a constant speed, despite
 seeing you on the tracks.
 
Note: From a 7th grade pre-algebra book.

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Subj:     Finding The Counterfeit Coin (S439b)
..........From: LABLaughsRiddles on 6/21/2005

 You have 12 identical-looking coins, one of which is
 counterfeit.  The counterfeit coin is either heavier
 or lighter than the rest.  The only scale you have to
 use is a simple balance.  Using the scale only three
 times (Note: not loading, but using for balancing),
 find the counterfeit coin.

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 Number the coins 1 through 12.  Weigh coins 1,2,3,4 against
 coins 5,6,7,8.  If they balance, weigh coins 9 and 10 against
 coins 11 and 8 (we know from the first weighing that 8 is a
 good coin).  If they balance, we know coin 12, the only
 unweighed one is the counterfeit.  The third weighing
 indicates whether it is heavy or light.

 If, however, at the second weighing, coins 11 and 8 are
 heavier than coins 9 and 10, either 11 is heavy or 9 is light
 or 10 is light.  Weight 9 with 10.  If they balance, 11 is
 heavy.  If they don't balance, either 9 or 10 is light.

 Now assume that at first weighing the side with coins 5,6,7,8
 is heavier than the side with coins 1,2,3,4.  This means that
 either 1,2,3,4 is light or 5,6,7,8 is heavy.  Weigh 1,2, and
 5 against 3,6, and 9.  If they balance, it means that either
 7 or 8 is heavy or 4 is light.  By weighing 7 and 8 we obtain
 the answer, because if they balance, then 4 has to be light.
 If 7 and 8 do not balance, then the heavier coin is the
 counterfeit.

 If when we weigh 1,2, and 5 against 3,6 and 9, the right side
 is heavier, then either 6 is heavy or 1 is light or 2 is light.
 By weighing 1 against 2 the solution is obtained.

 If however, when we weigh 1,2, and 5 against 3, 6 and 9, the
 right side is lighter, then either 3 is light or 5 is heavy.
 By weighing 3 against a good coin the solution is easily
 arrived at.

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Subj:     Math Prob. - Figure this Pattern (S347b)
          From: LABLaughsRiddles on 6/10/2005

 Good at math? Try this one.... 1=3
 2=3
 3=5
 4=4
 5=4
 6=3
 7=5
 8=5
 9=4
 10=3

 So what does
 11=?
 12=?
 

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 11 equals six and twelve equals six (the number of letters
 in the numbers name

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Subj:     LOGIC PROB. - Beanstalk
          From: Braingle.com
          on 10/29/2005 (S458 in Games-Supp)
 Source: http://www.braingle.com/games/beans/index.php

 This SWF game is a series of pure logic puzzles to be
 solved.  It plays best at the above source because you
 can save levels, or you can play it on my web site by
 clicking 'HERE'.

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Subj:     LOGIC PROB. - Dog, Chicken, And Rice At River (S454)
          From: William Wu of U. C. Berkeley on 8/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#dogChickenRice

 A farmer returning home from the market must get across the
 river and return home with his three purchases, a dog, a
 chicken and a bag of rice.  However, He must take them in
 his boat.  He can't have more than one item with him on his
 boat at all times.  He cannot leave the dog alone with the
 chicken because the dog will eat the chicken, and he cannot
 leave the chicken alone with the bag of grain because the
 chicken will eat the bag of grain.  How does he get all
 three of his purchases back home safely?

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Subj:     PUZZLE - Square Division (S457)
          From: William Wu of U. C. Berkeley on 10/25/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/medium.shtml#squareDivision

 Draw a square.  Divide it into four identical squares.
 Remove the bottom left hand square.  Now divide the
 resulting shape into four identical shapes.

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Subj:     PUZZLE - Adjacency Grid (S456b)
          From: William Wu of U. C. Berkeley on 10/24/2005
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/medium.shtml#adjacencyGrid

 Arrange the numbers 1 to 8 in the grid below such that adjacent
 numbers are not in adjacent boxes (horizontally, vertically, or
 diagonally).
 

 The arrangement above, for example, is wrong because 3 and 4,
 4 and 5, 6 and 7, and 7 and 8 are adjacent.

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Subj:     PUZZLE - Chess Puzzle I (S449 in games-supp)
          From: William Wu of U. C. Berkeley
 At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu
........./riddles/easy.shtml#chessPuzzle1

 Green numbers indicate how many pieces could move to that
 square on the next move.  Blue squares show the possible
 locations of the following five shown, different chess
 pieces:  How are the five pieces arranged?

 To try this chess puzzle by clicking 'HERE'.

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Subj:     PUZZLE - 9 Dots And 4 Lines (S448)
          From: William Wu of U. C. Berkeley
          At: http://www.ocf.berkeley.edu/~wwu/riddles/intro.shtml
 Source: http://www.ocf.berkeley.edu/~wwu/riddles/easy.shtml#9dots
 
You have 9 dots arranged like a rectangle.
Without lifting your pen, or retracing a
line, connect all nine dots with four lines.

                            \\\//
                           -(o o)-
========================oOO==(_)==OOo======================
...............................From LABLaughsRiddles 2004-08-31
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