Math4 Supp 2

Subj: Math4 - Supplement 2 (Gz)
(Includes 120 jokes and articles)

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
    MATH6file contains lymerics, short jokes ? stories, and Q?A.

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. - The Gold Chain (S458b)
          From: Gray's Brain Teasers and Riddles on 10/30/05
          Source: http://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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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 & 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 (S458 in Games-Supp)
          From: Braingle.com on 10/29/2005
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, go to the source above, or my
web site 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.

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LABLaughsRiddles 2004-08-31

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