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 Subj:     Math4c-Supp2 - Puzzles And Problems                  (Includes 46 jokes and articles, 28 1033,45,cf,vXT4,66) Division from College of Marin
Includes the following:  Frazz Comic Strip (S1033)
.........................Math Prob. - Find A Four-Digit 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 Power-Full 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 Q-A.

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Subj:     Frazz Comic Strip (S1033)
By Jef Mallett on 10/28/2016
Source: http://www.gocomics.com/frazz/2016/10/28
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 Subj:     Math Prob. - Find A Four-Digit 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 4-digit 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?
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 Subj:    Math Prob. - Cheap Sheep...Bleat! (S651)          From: MathNexus.wwu.edu on 2/15/2009 Drawing from MathNexus...
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
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 Drawing from tom on 8/21/09
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Hint: Suppose there were n sheep...then the total amount

And be careful in the very last step.
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 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 5-4-9 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

Source: Adapted from D. Piele's 7th International Computer
Problem Solving Contest, 1987

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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...
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 Subj:    Math Prob. - Inflationary Sequence (S649)          From: MathNexus.wwu.edu on 5/17/2009 Drawing from MathNexus...
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.

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Hint: Some possibilities:

Can any digits repeat?

Try a smaller case...Say using the digits 1-5..., is
there a pattern involved?

Find an "intuitive" straight-forward way to solve the
problem of all numbers less than a billion.
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 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.

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 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 ..
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Subj:     Math Prob. - Agnes Comic Strip (S647)
by Tony Cochran
From: Creators.com on 6/1/2009
Source: http://www.creators.com/today-comics.html

Recently the Agness comic strip put a math problem in their
cute strip.  Below is the problem.
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 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 8-gallon cask of wine, and desired
to divide it equally; but they had only two measures
wherewith to do so, a 5-gallon measure and a 3-gallon
measure.  How can they perform the division?

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 To see the solution click .
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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
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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

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Hint: Set up equations for area of each pan....and ask,
does the depth of the pan matter?
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 To see the solution click .
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 Subj:    Math Prob. - A Power-Full Problem (S644)          From: MathNexus.wwu.edu on 5/13/2009 Drawing from CarsCarsCars...
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: (A-X)(B-X)(C-X)(D-X)....(Y-X)(Z-X)!

Hint: What algebraic technique begs to be applied? Don't use a calculator.
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 To see the solution click .
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 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 .

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 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 ..
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 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 .

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 Subj:    Math Prob. - Find A Number II (S641)          From: Puzzles And Brain Teasers on 4/8/2009  Source: (Removed from afunzone.com)

Which three-digit number, made of consecutive digits,
like 567, is 2 less than a cube and 2 more than a square?
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 ...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 .

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 Subj:    Math Prob. - What Number Am I? (S640)          From: Puzzles And Brain Teasers on 4/7/2009  Source: (Removed from afunzone.com)

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?
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 ...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 .

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 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?
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 To see the solution click .
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 ...Photo from Starving-Artistt 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 .

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 Subj:    Math Prob. - Three Equal Digits (S634)          From: Puzzles And Brain Teasers on 3/2/2009  Source: (Removed from afunzone.com)

Write down a mathematical expression, having a value of 24,
which uses three equal digits, none of them being 8.
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 ... Photo from.... PhotoBucket.com 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 .

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 Subj:    Math Prob. - Alphabetical Order (S633)          From: Puzzles And Brain Teasers on 2/24/2009  Source: (Removed from afunzone.com)

If all 1-digit 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 3-digit numbers are arranged in alphabetical order,
which number comes first, and which number comes last?
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 To see the solution click .
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 Subj:     Math Prob. - A Thousand Silver Dollars (S631)           From: Puzzles And Brain Teasers on 2/6/2009 Drawing from Silver-Investor.com
Source: (Removed from afunzone.com)

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?

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 To see the solution click .
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 Subj:    Math Prob. - Chocolate Bars And Cups (S630)          From: Puzzles And Brain Teasers on 2/4/2009  Source: (Removed from afunzone.com)

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??
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 To see the solution click .
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 Subj:     Math Prob. - Ali Baba And The Thieves (S629)           From: Puzzles And Brain Teasers on 1/26/2009 Drawing from FotoSearch.com
Source: (Removed from afunzone.com)

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?

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 To see the solution click .
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 Subj:    Math Prob. - Digging A Hole (S628)          From: Puzzles And Brain Teasers on 1/19/2009  Source: (Removed from afunzone.com)

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?
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 To see the solution click .
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 Photo from... BakerRanch.. 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'.

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 Subj:    Math Prob. - 100 Coins (S626c)          From: Puzzles And Brain Teasers on 1/5/2009  Source: (Removed from afunzone.com)

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'.

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Subj:    Math Prob. - Multiplication Problem (S624c)
From: Puzzles And Brain Teasers on 12/23/2008
Source: (Removed from afunzone.com)

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.

 xxx     x5 ------  xxxxx

The solution can be found on my web site by clicking 'HERE'.

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 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 .

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 Subj:    LOGIC PROB. - Chiming Clock (S642)          From: Puzzles And Brain Teasers on 4/27/2009  Source: (Removed from afunzone.com)

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?
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 To see the solution click .
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 Subj:     LOGIC PROB. - Coiled Sentence (S627)           From: Puzzles And Brain Teasers on 1/2/09 ..........Source: (Removed from afunzone.com) Maxine driving from darrell94590 on 4/23/2007

The following coiled sentence contains an idea that every
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
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 Subj:     LOGIC PROB. - New York Geography (S626)           From: Puzzles And Brain Teasers on 1/5/09  Source: (Removed from afunzone.com)

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 .
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 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 three-in-a-line.  To
see the math problem's detailed description, and solution,
click .

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 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'.

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 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'.

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 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'.

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 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'.

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 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'.

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 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'.

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 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'.

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 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'.

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 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'.

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 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)

pieces of the same shape?  To see the puzzle's description,
it's large drawing and the puzzle's solution, click 'HERE'.

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 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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