Subj:
Math4cSupp2  Puzzles And Problems
(Includes 45 jokes and articles, 03711n,44,cf,md4v,66)


Division from
College
of Marin

Includes the following: Math
Prob.  Find A FourDigit Integer II (S652)
.........................Math
Prob.  Cheap Sheep...Bleat! (S651)
.........................Math
Prob.  Safe Safe (S650)
.........................Math
Prob.  Inflationary Sequence (S649)
.........................Math
Prob.  Circle Inscribed In Triangle (S648)
.........................Math
Prob.  Jack And Jill (S647)
.........................Math
Prob.  Agnes Comic Strip (S647)
.........................Math
Prob.  Eight Gallons Of Wine (S646)
.........................Math
Prob.  Square And Round Pans (S645)
.........................Math
Prob.  A PowerFull Problem (S644)
.........................Math
Prob.
 The Miser's Puzzle (S644)
.........................Math
Prob.  Jack Sprat And His Wife (S643)
.........................Math
Prob.  The Ferry Boat Problem (S642)
.........................Math
Prob.  Find A Number II (S641)
.........................Math
Prob.  The Five Newsboys (S641)
.........................Math
Prob.  What Number Am I? (S640)
.........................Math
Prob.  Conscientious Milkman (S639)
.........................Math
Prob.  The Price Of Eggs (S638)
.........................Math
Prob.  Butcher Boy (S636)
.........................Math
Prob.  Three Equal Digits (S634)
.........................Math
Prob.  Six Hats (S634)
.........................Math
Prob.  Alphabetical Order (S633)
.........................Math
Prob.  A Thousand Silver Dollars (S631)
.........................Math
Prob.  Chocolate Bars And Cups (S630)
.........................Math
Prob.  Ali Baba And The Thieves (S629)
.........................Math
Prob.  Digging A Hole (S628)
.........................Math
Prob.  Annual Picnic (S627)
.........................Math
Prob.  100 Coins (S626c)
.........................Math
Prob.  Multiplication Problem (S624c)
.........................LOGIC
PROB.  A Question Of Time (S646)
.........................LOGIC
PROB.  Chiming Clock (S642)
.........................LOGIC
PROB.  Coiled Sentence (S627)
.........................LOGIC
PROB.  New York Geography (S626)
.........................Puzzle
 The Scholar's Puzzle (S645)
.........................Puzzle
 Rip Van Winkle Puzzle (S640)
.........................Puzzle
 The Gordian Knot (S637)
.........................Puzzle
 The Chinese Puzzle (S635)
.........................Puzzle
 The Cheese Problem (S633)
.........................Puzzle
 The Chinese Cash Puzzle (S632)
.........................Puzzle
 Fighting Fishes Of Siam (S631)
.........................Puzzle
 The Merchant Of Bagdad (S629)
.........................Puzzle
 The Convent Problem (S628)
.........................Puzzle
 Puzzling Scales III (S626)
.........................Puzzle
 Cutting Two Equal Pieces (S625)
.........................Puzzle
 The Moon Problem (S624)
The MATH1file
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 QA.
============================================================Top


Subj:
Math Prob.  Find A FourDigit Integer II (S652)
From: The Puzzlet Page on 7/9/2009
Drawing from Valdosta
State University 
Source: http://www.puzzlet.co.uk/Puzzlets/Puzzlet_001.html
Find a 4digit integer has the
following properties:
The sum of its
first and third digits equals
the sum of the other digits.
The product of
its first and last digits is ten times
greater than the product of the remaining digits.
The sum of the
first two digits is only half
the sum of the last two digits.
What is the integer? Is
there more than one answer?
.
.
To see the solution
click 
. 
.
.
Top
Subj:
Math Prob.  Cheap Sheep...Bleat! (S651)
From: MathNexus.wwu.edu on 2/15/2009


Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=154
A brother and a sister inherited
a herd of sheep. They
sold all of them, receiving
for each sheep the same
number of dollars as there were
sheep in the herd.
The money was given to them in
$10 bills except for
an excess, less than $10, that
was in silver dollars.
They divided the bills between
them by placing them
on a table and alternately taking
a bill until there
was none left.
"It isn't fair," complained the
sister. "You drew
first and you also took the
last bill, so you got
$10 more than I did."
To even things up partially,
the brother gave his
sister all of the silver dollars,
but she was still
not satisfied. "You gave me
less than $10," she argued.
"You still owe me some money."
"True," said the brother. "Suppose
I write you a check
that will make the total amounts
we each end up with
exactly the same."
This he did. What was the value
of the check?
Source: A. N. Myous Student
.
.
.


Drawing from tom on 8/21/09 
.
Hint: Suppose there were n sheep...then
the total amount
received is....
And be careful in the very last
step.
.
.
To see the solution
click 
. 
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Top


Subj:
Math Prob.  Safe Safe (S650)
From: MathNexus.wwu.edu on 3/15/2009
Drawing from MathNexus 
Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=143
To open a safe, Stu Dent knows
that the combination is three
single digits (0  9).
For example, the digits 549 formed
his old combination... that
is until his clever sister Pepso
Dent rekeyed the safe to a new
combination.
But Pepso did leave the cryptic
message: "To brother Stu who
acts so wise!... The new combination
is the last three digits
of
Stu Dent asks for your help...What
is the new combination?
Source: Adapted from D. Piele's
7th International Computer
Problem Solving Contest, 1987
.
.
Hint: You could try every one
of the 10x10x10 possible
combinations, but that would
be no fun and take a lot
of time.
Look for possible patterns in
powers of 9...
.
.
To see the solution
click 
. 
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Top
Subj:
Math Prob.  Inflationary Sequence (S649)
From: MathNexus.wwu.edu on 5/17/2009


Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=166
At a mathematics conference recently,
I picked up an
interesting problems from one
of the speakers (C.B., CWU).
Problem: How many positive integers
have the property
that their digits increase as
read from left to right?
Some examples of such numbers
are 19 or 356 or 12,679.
.
.
Hint: Some possibilities:
Can any digits repeat?
Try a smaller case...Say using
the digits 15..., is
there a pattern involved?
Find an "intuitive" straightforward
way to solve the
problem of all numbers less
than a billion.
.
.
To see the solution
click 
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Top


Subj:
Math Prob.  Circle Inscribed In Triangle (S650)
From: MathNexus.wwu.edu
on 5/24/2009 
Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=167
The perimeter of a right triangle
is 324 cm and its
hypotenuse is 135 cm.
Find the radius of the circle
that can be inscribed in the
triangle.
.
To see the solution
click 
. 
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Top
Subj:
Math Prob.  Jack And Jill (S647)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
Drawing from Apple4TheTeacher.com 
Jack and Jill went up the hill,
To fetch a pail of water;
Jack fell down, and broke his
crown,
And Jill came tumbling
after.
Then up Jack got and off did
trot,
As fast as he could caper,
To old Dame Dob, who patched
his nob
With vinegar and brown
paper.
How long did it take Jack to
run the full half mile?
To see the math problem's detailed
description, and
solution, click ..
.
Top
Subj: Math
Prob.  Agnes Comic Strip (S647)
by Tony Cochran
From: Creators.com on 6/1/2009
Source: http://www.creators.com/todaycomics.html
Recently the Agness comic strip
put a math problem in their
cute strip. Below is the
problem.
.
.
To see the solution
click 
. 
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Top


Subj:
Math Prob.  Eight Gallons Of Wine (S646)
From: MathNexus.wwu.edu on 5/30/2009
Drawing from MathNexsus.wwu.edu 
Source: http://mathnexus.wwu.edu/Archive/oldie/detail.asp?ID=158
Two men purchased an 8gallon
cask of wine, and desired
to divide it equally; but they
had only two measures
wherewith to do so, a 5gallon
measure and a 3gallon
measure. How can they
perform the division?
.
To see the solution
click 
. 
.
.
Top
Subj: Math
Prob.  Square And Round Pans (S645)
From: MathNexus.wwu.edu on 5/13/2009
Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=160
.
.
Consider this claim called "Pan
Arithmetic," taken from a
cookbook found in a "free" box:
An 8" square pan holds one
cup more than an 8" round one.
If the depth is the same, a square
pan holds the same amount
as a round one measuring 1 inch
more across. For example,
an 8" square pan holds the same
amount as a 9" round one.
Question 1: Why is the first
statement quite incorrect....
Hint: Should it matter what
the depth of the pan is?
Question 2: For the second claim,
what is the value of pi
being used to make this equality
"work"?
Question 3: For what sizes of
pans is this estimate good?
Turns out for a square 8" pan,
the estimate of a 9" circle
is very close.
Source: Polly Clingerman's The
Kitchen Companion, 1994, p. 57
.
.
Hint: Set up equations for area
of each pan....and ask,
does the depth of the pan matter?
.
.
To see the solution
click 
. 
.
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Top
Subj:
Math Prob.  A PowerFull Problem (S644)
From: MathNexus.wwu.edu on 5/13/2009


Source: http://mathnexus.wwu.edu/Archive/problem/detail.asp?ID=164
At a mathematics conference recently,
I picked up an
interesting problems from one
of the speakers (C.B., CWU).
Problem: Evaluate 100² 
99² + 98²  97² + 96²  95² +...+ 2²  1²
The problem brought back memories
of when I once asked
students to solve the following:
(AX)(BX)(CX)(DX)....(YX)(ZX)!
Hint: What algebraic technique
begs to be applied? Don't use a calculator.
.
.
To see the solution
click 
. 
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Top


Subj:
Math Prob.  The Miser's Puzzle (S644)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
What is the least amount of money
that the miser could
have had? To see the math
problem's detailed description,
and solution, click .
Top
Subj:
Math Prob.  Jack Sprat And His Wife (S643)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
Drawing of Jack Sprat
amd
his wife from Chron.com 
How long would it take Jack Sprat
and his wife to eat a
barrel of mixed pork, half fat
and half lean? To see
the math problem's detailed
description, and solution,
click ..
.
Top


Subj:
Math Prob.  The Ferry Boat Problem (S642)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
What is the exact width of the
Hudson River? To see
the math problem's detailed
description, and solution,
click .
Top
Subj:
Math Prob.  Find A Number II (S641)
From: Puzzles And Brain Teasers on 4/8/2009


Source: http://www.afunzone.com/adailypuzzle/040809.html
Which threedigit number, made
of consecutive digits,
like 567, is 2 less than a cube
and 2 more than a square?
.
.
To see the solution
click 
. 
.
.
Top
...Photo from
BioJobBlog.com


Subj:
Math Prob.  The Five Newsboys (S641)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
The three Jones boys sold more
papers than the two Smith
boys, but how many more?
To see the math problem's
detailed description, and solution,
click .
Top
Subj:
Math Prob.  What Number Am I? (S640)
From: Puzzles And Brain Teasers on 4/7/2009


Source: http://www.afunzone.com/adailypuzzle/040709.html
I am a number with the following
properties:
* If I am not a
multiple of 4, then I am between 60 and 69.
* If I am a multiple
of 3, I am between 50 and 59.
* If I am not a
multiple of 6, I am between 70 and 79.
What number am I?
.
.
To see the solution
click 
. 
.
.
Top
...Photo from
krishnA
industrieS


Subj:
Math Prob.  Conscientious Milkman (S639)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
How much pure milk must have
been delivered on each
of the four streets? To
see the math problem's
detailed description, and solution,
click .
Top
Subj:
Math Prob.  The Price Of Eggs (S638)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 
Drawing from
Karen's
Art Page 
"I paid twelve cents for the
eggs I bought from the grocer,"
explained the cook, "but I made
him throw in two extra eggs
because they were so little.
That made the lot cost just
one cent per dozen less than
the first asking price."
How many eggs did the cook buy?
.
.
To see the solution
click 
. 
.
.
Top
...Photo from


Subj:
Math Prob.  Butcher Boy (S636)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
President Grant bought and later
sold a wonderful horse
named "Butcher Boy". Your
straightforward problem is to
determing the selling price
of "Butcher Boy" and a second
horse. To see the math
problem's detailed description,
and solution, click .
Top
Subj:
Math Prob.  Three Equal Digits (S634)
From: Puzzles And Brain Teasers on 3/2/2009


Source: http://www.afunzone.com/adailypuzzle/030209.html
Write down a mathematical expression,
having a value of 24,
which uses three equal digits,
none of them being 8.
.
.
To see the solution
click 
. 
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Top


Subj:
Math Prob.  Six Hats (S634)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
If six men each take a hat at
random, what is the
probability that no man will
get his own hat? To
see the math problem's detailed
description, and
solution, click .
Top
Subj:
Math Prob.  Alphabetical Order (S633)
From: Puzzles And Brain Teasers
on 2/24/2009 

Source: http://www.afunzone.com/adailypuzzle/022409.html
If all 1digit numbers are arranged
in alphabetical order,
they are eight, five, four,
nine, one, seven, six, three,
two. Here, eight comes
first, and two comes last.
If all 3digit numbers are arranged
in alphabetical order,
which number comes first, and
which number comes last?
.
.
To see the solution
click 
. 
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Top


Subj:
Math Prob.  A Thousand Silver Dollars (S631)
From: Puzzles And Brain Teasers on 2/6/2009
Drawing from SilverInvestor.com 
Source: http://www.afunzone.com/adailypuzzle/020609.html
A man went into a bank with exactly
$1,000 in silver dollars.
He gave them to a cashier and
asked the cashier to put the
money into 10 bags is such a
way that if he later needed any
amount of dollars up to $1,000,
he could lay his hands on
that amount without needing
to open any of the bags. How
did the cashier achieve this?
.
To see the solution
click 
. 
.
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Top
Subj:
Math Prob.  Chocolate Bars And Cups (S630)
From: Puzzles And Brain Teasers on 2/4/2009


Source: http://www.afunzone.com/adailypuzzle/020409.html
You can buy four chocolate bars
and three peanut butter
cups for 50?,
and three chocolate bars and four peanut
butter cups for 48?.
What is the most candy (the greatest
number of pieces) you can buy
for exactly 50??
.
.
To see the solution
click 
. 
.
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Top


Subj:
Math Prob.  Ali Baba And The Thieves (S629)
From: Puzzles And Brain Teasers on 1/26/2009
Drawing from FotoSearch.com 
Source: http://www.afunzone.com/adailypuzzle/012609.html
Take the number of states before
Alaska and Hawaii were added.
Double that and add the number
of "winds." Then subtract the
number of Ali Baba's thieves,
not counting Ali Baba. Divide
by the number of days in May
minus 1. Cube the result. What
do you get?
.
To see the solution
click 
. 
.
.
Top
Subj:
Math Prob.  Digging A Hole (S628)
From: Puzzles And Brain Teasers on 1/19/2009


Source: http://www.afunzone.com/adailypuzzle/011909.html
Timothy and two friends are digging
identical holes in a field.
When Timothy works with Urban,
they dig 1 hole in 4 days. When
Timothy works with Vincent,
they dig 1 hole in 3 days. When
Urban works with Vincent, they
dig 1 hole in 2 days. When
Timothy works alone, how long
does it take him to dig 1 hole?
.
.
To see the solution
click 
. 
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Top


Subj:
Math Prob.  Annual Picnic (S627)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 
When they started off on the
great annual picnic, every
wagon carried exactly the same
number of persons. Half
way to the grounds ten wagons
broke down, so it was
necessary for each remaining
wagon to carry one more
person.
When they started for home it
was discovered that
fifteen more wagons were out
of commission, so on the
return trip there were three
persons more in each wagon
than when they started out in
the morning. How many
people attended the great annual
picnic? To see the
puzzle's description, it's pictures
and the puzzle's
solution, click 'HERE'.
Top
Subj:
Math Prob.  100 Coins (S626c)
From: Puzzles And Brain Teasers on 1/5/2009


Source: http://www.afunzone.com/adailypuzzle/010509.html
You have fifty coins totaling
$1.00. You drop one down an
open drain while tossing the
coins in your hand. What is
the chance that you have lost
a quarter?
The solution can be found on
my web site by clicking 'HERE'.
Top
Subj: Math Prob.
 Multiplication Problem (S624c)
From: Puzzles And Brain Teasers on 12/23/2008
Source: http://www.afunzone.com/adailypuzzle/122308.html
The following multiplication
example uses all the
digits from 0 to 9 once and
once only (not counting
the intermediate steps). Finish
the problem. One
number has been filled in to
get you started.
The solution can be found on
my web site by clicking 'HERE'.
Top


Subj:
LOGIC PROB.  A Question Of Time (S646)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
What time does the clock sign
show? To see the math
problem's detailed description,
and solution, click .
Top
Subj:
LOGIC PROB.  Chiming Clock (S642)
From: Puzzles And Brain Teasers on 4/27/2009


Source: http://www.afunzone.com/adailypuzzle/042709.html
A grandfather clock chimes the
appropriate number of
times to indicate the hour,
as well as chiming once at
each quarter hour. If
you were in another room and
heard the clock chime just once,
what would be the
longest period of time you would
have to wait in order
to be certain of the correct
time?
.
.
To see the solution
click 
. 
.
.
Top
The following coiled sentence
contains an idea that every
motorist agrees with.
Start with the letter A in the very
center and move, letter by letter,
in any direction to find
the sentence.

V E
O E T
E U Y
L P
R Y S
L A
H T R
O M
I N A
A D
G E X
R T
E C O
E I
P O T
F D
T H W
O L 
.
.
To see the solution
click 
. 
.
.
Top
Subj:
LOGIC PROB.  New York Geography (S626)
From: Puzzles And Brain Teasers on 1/5/09


Source: http://www.afunzone.com/adailypuzzle/010709.html
If Boston is east of New York,
cross out all the A's. If
not, cross out the R's.
If Paris is south of New York,
cross out all the 0's.
If not, cross out the I's. If
Sri Lanka is in Asia, cross
out the B's and U's. If not,
cross out the C's. The
remaining letters will tell you
whether you've found the right
answer.
CAAOIIABURRIAUEIBBCIAUT
To see the solution
click 
. 
.
Top


Subj:
Puzzle  The Scholar's Puzzle (S645)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 
Move one circle to make four
rows of threeinaline. To
see the math problem's detailed
description, and solution,
click .
Top
Subj:
Puzzle  Rip Van Winkle Puzzle (S640)
From the book
"More Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1960 (cf,md4,2) 

What is Rip's best shot to win
the game? Both players can
hit any pin or pair of pins.
You can see this problem's
description, drawing, and solution
on my web site by
clicking
'HERE'.
Top


Subj:
Puzzle  The Gordian Knot (S637)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
Remove the shears without cutting
the cord. To see the
puzzle's description, it's large
drawing and the puzzle's
solution, click
'HERE'.
Top
Subj:
Puzzle  The Chinese Puzzle (S635)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 

Divide a square piece of paper
into two halves which
will fit together as stocks.
You can see this problem's
description, drawing, and solution
on my web site by
clicking
'HERE'.
Top


Subj:
Puzzle  The Cheese Problem (S633)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
How many pieces of cheese did
the soldier produce with six
cuts? To see the puzzle's
description, it's large drawing
and the puzzle's solution, click
'HERE'.
Top
Subj:
Puzzle  The Chinese Cash Puzzle (S632)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 

What combination of coins will
buy the puppy?
You can see this problem's description,
drawing,
and solution on my web site
by clicking
'HERE'.
Top


Subj:
Puzzle  Fighting Fishes Of Siam (S631)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
How long will it take one species
of fish to vanquish the
other? To see the puzzle's
description, it's large drawing
and the puzzle's solution, click
'HERE'.
Top
Subj:
Puzzle  The Merchant Of Bagdad (S629)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 

Show how the merchant measured
the wine and water.
You can see this problem's description,
drawing,
and solution on my web site
by clicking
'HERE'.
Top


Subj:
Puzzle  The Convent Problem (S628)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
How many nuns lived in the convent
and what rooms did they
occupy? To see the puzzle's
description, it's large drawing
and the puzzle's solution, click
'HERE'.
Top
Subj:
Puzzle  Puzzling Scales III (S626)
From the book
"Mathematical Puzzles of Sam Loyd" 

Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2)
Sam Loyd gives us two balanced
scales containing blocks, tops,
and marbles. You must
determine how many marbles will balance
one top. You can view
this simple, elegant problem on my web
site by clicking 'HERE'.
Top


Subj:
Puzzle  Cutting Two Equal Pieces (S625)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 
How would you cut this gingerbread
dog's head into two
pieces of the same shape?
To see the puzzle's description,
it's large drawing and the puzzle's
solution, click 'HERE'.
Top
Subj:
Puzzle  The Moon Problem (S624)
From the book
"Mathematical Puzzles of Sam Loyd"
Edited by Martin Gardner
From: Dover Publications in 1959 (cf,md4,2) 

If the moon were made of green
cheese, into how many pieces
could you divide it with five
straight cuts of a knife?
You can see this problem's description,
drawing, and
solution on my web site by clicking
'HERE'.
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