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| Subj:
Math4D - Puzzles And Problems
(Includes 25 jokes and articles, 06734,26,cf)>>> ..........Click
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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)
Christmas4 - 'Christmas
Carol Picture Puzzle'
ILLUSIONS - 'Two
triangles Problem'
......................-..(See
whole file)
MAILMAN-ETC. - 'Milkman's
Puzzle'
Riddles file - (See whole file)
WORD PUZZLES - (See whole
file)
TEST FACES - (See
whole file)
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| Subj:
MATH PROB. - My Grandfather's And My Age
From: MathNexus.wwu.edu on 1/6/2010 (S677) Drawing
from MathNexus...
|
 |
In 1932, my dad was as old as
the last two digits of his
birth year. When he mentioned
this interesting coincidence
to his grandfather, my dad was
surprised when his grandfather
said the same thing was true
for him as well. Believe me,
it's quite possible and I am
able to prove it too. How old
was my father and his grandfather
in 1932?
.
.
| To see the solution, click |  . |
 |
Subj:
MATH PROB. - Math Limericks (S674)
From: MathNexus.wwu.edu on 12/11/2009 Drawing from Limerick-Poems.com |
Limerick Problem #1:
| Three different
one-digit primes
produce me, if you're using times; If my digits you add, Another prime will be had. Two answers--and nothing else rhymes. |
Limerick Problem #2:
|
There once was a cube 'twas found
Whose two digits, when switched clear around, Was the product (quite fair) Of a cube and a square, And its name will most surely astound. |
Source: John Gregory and Dale
Seymour's Limerick Number Puzzles (Creative Publications, 1978)
.
 |
Drawing from tom on 8/21/2009 |
Hint: Take one clue at
a time in the order given...try
to write down what options remain at each step.
.
| To see the solution click | . |
| Subj:
The Sum Of The Cubes Of It's Digits (S673)
By Dave Ellis From: The Puzzle Page on 12/5/2009 |
 |
Drawing from BusinessEnglishBook.com |
Find integers less than 10,000
which are equal to the sum of
the cubes of their own digits.
Repeat the exercise for 4th powers.
Example: 153 = 1? + 5? + 3?
.
.
| To see the solution click | . |
 |
Subj:
MATH PROB. - Fishing Trip (S671)
From: MathNexus.wwu.edu on 11/19/2009 Drawing from MathNexus |
I was invited to spend a seven-day
vacation fishing on
Bayes Lake, and had to select
one of these options for
a fishing license:
 |
Each day, I was allowed
to catch fish until
the next fish I caught was heavier than any previous fish I caught that day, or |
|
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Each day, I was allowed
to catch fish until
the total weight of fish caught that day exceeds 10 pounds. |
Now, assume that the fish in
Bayes Lake had random weights
between 0 pounds and 10 pounds
plus the costs of the two
license options were equal.
Which license option was best,
assuming I wanted to catch the
maximum amount of fish?
.
|
Drawing from tom on 8/21/2009 |
.
| To see the solution click | . |
| Subj:
MATH PROB. - The Alaskan Pipeline (S669)
From: MathNexus.wwu.edu on 11/2/2009 Drawing
from MathNexus...
|
 |
Joe Flubb had contracted to replace
a 2-mile section of
oil pipeline in the far north.
The replacement needed to
be done during the coldest part
of a bitter cold winter
many miles north of the Arctic
Circle. The thermometer
dropped to 40 Celsius degrees
below zero on the day Joe
and his crew installed the new
section of pipeline, so
understandably he was anxious
to get the job completed
as quickly as possible.
According to the specifications,
the new 2-mile pipeline
was to be firmly anchored to
the ground at each end. The
specs also required that expansion
joints be placed at
appropriate points along the
new pipe to allow for expan-
sion of the pipe when the temperature
would go up. This
precaution seemed quite unnecessary
to Joe because the
metal he was using in the pipeline
had an expansion
coefficient of only 0.00005.
This means that every time
the temperature increases by
1 degree Celsius, each foot
of pipe grows by 0.00005 feet.
That's only 6 hundredths
of one percent of an inch per
foot of pipe. Clearly such
a minute expansion could be
ignored, Joe decided.
To make a drawing of the extended
pipeline after the
temperature increases, points
A and B are 2 miles apart
and where pipe is firmly anchored
to the ground. Point
C in the midpoint of AB.
For ease of computation, assume
that as the pipeline expands,
the pipe lifts off the
ground to a point D directly
above point C (i.e. DC is
perpendicular to AB), forming
straight segments AD and BD.
Thus, point D is the highest
point of the pipe.
Summer finally arrives.
The temperature soars to 30
degrees Celsius. The pipe
will expand a bit. Try to
guess and determine:
How high is CD?
Could a mouse squeeze under
the pipe at C?
Could a sled dog squeeze under?
A polar bear?
.
.
| To see the solution, click | . |
 |
Subj:
MATH PROB. - Egg-Citing Eggs-Perience (S668)
From: MathNexus.wwu.edu on 11/16/2009 Drawing from MathNexus |
A woman went to a local outdoor
market with 20 eggs,
another woman went with 30 eggs,
and a third woman
went with 50 eggs. All
three women sold their eggs
at the same rate and received
the same amount of money.
How could this be?
.
|
Drawing from tom on 8/21/2009 |
Hint: When thinking in
terms of a rate, think in terms
of both "dozen eggs" and "single
eggs."
.
| To see the solution click | . |
| Subj:
MATH PROB. - Multiplication (S667)
From: MathNexus.wwu.edu on 1/11/2009 Drawing
from MathNexus...
|
 |
The American Mathematics Contest
8 exam is designed for
students in grades 6-8.
Based on the scores for the 2006
exam, this problem was considered
to be the "hardest" problem:
In the multiplication
problem ABA x CD = CDCD,
where
A, B, C, and D are different digits,
what is A+B?
What is your answer?
.
.
| To see the solution, click | . |
 |
Subj:
MATH PROB. - 9-Digit Pandigital (S666)
By Dave Ellis From: Anonymous Jr. on 10/10/2009 Drawing from Valdosta State University |
A pandigital is an integer containing
every digit. In this
particular case, we're dealing
with the 9-digit pandigital,
since the zero isn't used.
Take all the digits 1 through
9 in order, and insert as
many plus and minus signs as
you wish, wherever you want,
to make an arithmetic sum of
100. For example,
123 + 45 - 67 + 8 - 9 = 100
Are there any more ways of punctuating
a 9-digit pandigital
with plus and minus signs to
make a sum of 100 as in the
example above? If so,
what are they?
.
| To see the solution click | . |
| Subj:
MATH PROB. - Number Of Taxis (S665)
From: MathNexus.wwu.edu on 1/25/2009 Drawing
from MathNexus...
|
 |
You are standing in the rain
trying to hail a taxi cab in
a large city. While waiting,
seven taxi cabs pass by that
already have passengers.
The numbers on the taxi cabs are
405, 73, 280, 179, 440, 301,
and 218.
Suppose you want to estimate
the number of taxi cabs in the
city while you are waiting.
Assuming that the taxi cabs are
numbered consecutively from
1 to N and all are still in
service, how can you use the
observed numbers to estimate N,
the total number of taxi cabs
in the city?
How many taxis do you think there
are? How can you test
your method for estimating N?
Note: In World War II,
the Allies supposedly were able to
estimate the size of the fleet
of German tanks by analyzing
the serial numbers on the tanks
either captured or disabled
in battle.
.
.
| To see the solution, click | . |
 |
Subj:
Math Prob. - Cats And Mice - Contest #7 (S663)
From: Puzzles And Brain Teasers on 9/20/2009 Drawing from TysToyBox |
If three cats catch three mice
in three minutes, how many
cats would be needed to catch
100 mice in 100 minutes?
.
| To see the solution click | . |
| Subj:
MATH PROB. - Coins In A Pocket (S662)
From: Lubin100 on 9/16/2009 Source: Problematical Recreations ^10 Litton Industries in 1968, Beverly Hills, CA |
 |
Photo from IOffer.com
. |
If Mr. Lubin has one coin in
his pocket, could he have
exactly one dollar
in change? Yes, a dollar coin.
If Mr. Lubin has two coins in
his pocket, could he have
exactly one dollar
in change? Yes, two half dollars.
If Mr. Lubin has three coins
in his pocket, could he have
exactly one dollar
in change? Yes, one half dollar
and two quarters.
If Mr. Lubin has four coins
in his pocket, could he have
exactly one dollar
in change? Yes, four quarters.
If Mr. Lubin has five coins
in his pocket, could he have
exactly one dollar
in change? Yes, one half dollar,
one quarter. two
dimes, and a nickel.
If Mr. Lubin has one hundred
and one coins in his pocket,
could he have exactly
one dollar in change? No.
What is the smallest number
of American coins Mr. Lubin
could have in his
pocket such that they could not
total one dollar?
.
.
| To see the solution, click | . |
 |
Subj: MATH PROB. - Crossing
The English Channel (S661)
From: Lubin100 on 9/10/2009 Source: Problematical Recreations ^10 Litton Industries in 1968, Beverly Hills, CA |
Commander Whitebread's yacht
can do 4 knots per hour.
If he requires 3 hours to sail
the English Channel at
its narrowest, what is the distance
involved?
Hint, it's not 12 nautical miles.
.
| To see the solution, click | . |
| Subj:
MATH PROB. - Eight Loaves Of Bread (S656)
From: Puzzles And Brain Teasers on 7/30/2009 |
 |
Drawing from ImageZoo.com |
A hunter met two shepherds, one
of whom had three loaves
and the other, five loaves.
All the loaves were the same
size. The three men agreed
to share the eight loaves
equally between them.
After they had eaten, the hunter
gave the shepherds eight bronze
coins as payment for his
meal. How should the two
shepherds fairly divide this money?
.
.
| To see the solution, click | . |
 |
Subj:
LOGIC PROB. - Twelve Statements (S675)
From: MathNexus.wwu.edu on 12/20/2009 GIF from MathNexus |
Consider this list of twelve
statements:
|
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Precisely one of these statements is false. |
|
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Precisely two of these statements are false. |
|
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Precisely three of these statements are false. |
|
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Precisely four of these statements are false. |
|
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Precisely five of these statements are false. |
|
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Precisely six of these statements are false. |
|
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Precisely seven of these statements are false. |
|
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Precisely eight of these statements are false. |
|
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Precisely nine of these statements are false. |
|
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Precisely ten of these statements are false. |
|
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Precisely eleven of these statements are false. |
|
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All twelve of these statements are false. |
Which statements are true? Explain.
Which statements are false? Explain.
Any statements that could be
true or false? Explain.
| Source: James Tanton's "A Dozen Questions About a Dozen," Math Horizons, April 2007, pp. 12-16. |
.
.
|
Drawing from tom on 8/21/2009 |
|
|
Precisely one of these statements is false. |
|
|
Exactly two of these statements are false. |
Does this help? Can you
transfer your reasoning
to the full set of twelve statements?
.
.
| To see the solution, click | . |
| Subj:
LOGIC PROB. - Monocles And Glasses (S672)
From: MathNexus.wwu.edu on 11/28/2009 Drawing
from Millan.net...
|
 |
In a small village known as Spectropolis,
every person
wears corrective lenses (monocles
or glasses) that are
either clear or tinted.
Half the people wear monocles
and half of the remaining
people do not wear tinted lenses.
Also, half of the monocle wearers do not wear tinted lenses.
If eighteen tinted lenses are
enough to exactly supply the
needs of the people in Spectropolis,
what is the village's
population?
.
|
Drawing from tom on 8/21/2009 |
| To see the solution, click | . |
 |
Subj:
LOGIC PROB. - Large Numbers (S670)
From: MathNexus.wwu.edu on 9/7/2009 Photo from MathNexus |
Consider this list of numbers,
in increasing order:
.
 |
| 1. Number of people
in the world
2. Number of grains of sand that would fill a sphere the size of the earth 3. Average number of hairs on one's head 4. Age of the universe (in years) 5. Number of possible chess moves in a chess game 6. Number of times your heart beats in your life 7. Number of words in the English language 8. Number of atoms in the universe 9. National debt (in dolars) 10. One light-year (distance light travels in a year) in miles |
| To see the solution, click | . |
| Subj:
LOGIC PROB. - What's In Common? (S660)
From: Lubin100 on 9/3/2009 Source: Problematical Recreations ^10 Litton Industries in 1968, Beverly Hills, CA |
 |
What do the following have in
common:
The
Greenwich Meridian,
a fine
roast rib of beef,
television
time from 7 to 10 PM,
and
a positive
integer n which divides the number ( n - 1 )! + 1?
.
.
| To see the solution, click | . |
 |
Subj:
LOGIC PROB. - A Pile Of Pennies (S659)
From: MathNexus.wwu.edu on 1/25/2009 Photo from Pachd.com |
You are blindfolded, then asked
to sit down at a table. On
the table is a large number
of pennies. You are told that
ten of the pennies show HEADS
up, while the rest show TAILS.
You cannot feel the difference
between a HEADS or TAILS being up.
Your Task: Arrange the pennies
into two disjoint groups so that
each group shows an equal number
of HEADS up.
Note: Though blindfolded, you
are still able to count the pennies
and turn any penny over while
sorting them into groups.
.
.
|
Drawing from tom on 8/21/2009 |
| To see the solution, click | . |
 |
Subj:
Puzzle - The Man In The Bar (S676)
From: LABLaughsRiddles on 12/23/2009 . Bartender from Animated Cliparts |
A man walks into a bar and asks
the barman for a glass
of water. The barman pulls
out a gun and points it at
the man. The man says,
"Thank you" and walks out.
This puzzle has claims to be
the best of the genre. It
is simple in its statement,
absolutely baffling, and yet
with a completely satisfying
solution. Most people
struggle very hard to solve
this one, yet they like the
answer when they hear it or
have the satisfaction of
figuring it out.
.
.
| To see the solution, click | . |
| Subj:
Puzzle - Brain Snack (S664)
By Peter Frank on 9/22/09 Dist. by Creators Syndicate Inc. |
 |
Logo from Brain Snack |
 |
Which food item (1-7) is located
clockwise six places
away from the food item that
is located counterclock-
wise two places away from the
food item that is located
clockwise precisely next to
the cheese cube (5)?
.
.
| To see the solution, click | . |
 |
Subj:
Puzzles - Uncle Art's Funland
By N.A.Nugent From: UnitedFeatures.com on 12/16/2009 |
Uncle Art's Funland appears in
the Sunday comics.
Click 'HERE'
to try several Funland puzzles which
are designed to be solved by
an eight year old kid.
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| Subj:
Puzzles - Uncle Art's Funland II (S686b)
By N.A.Nugent From: UnitedFeatures.com on 2/28/2010 |
 |
Uncle Art's Funland appears in
the Sunday comics.
Click 'HERE'
to try to add the numbers 1 to 9
and get a total of 135.
.
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Subj:
Puzzles - Uncle Art's Funland III (S693b)
By N.A.Nugent From: UnitedFeatures.com on 4/25/2010 |
Uncle Art's Funland appears in
the Sunday comics.
Click 'HERE'
to try arrange these five numbers in
such a way that when the first
two are multiplied
by the middle one, you get the
other two.
\\\//
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| Subj:
Puzzles - Uncle Art's Funland IV (S710b)
By N.A.Nugent From: UnitedFeatures.com on 8/22/2010 |
|
Uncle Art's Funland appears in
the Sunday comics.
Click 'HERE'
to try to make each of the four rows
add up to 21.
.
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Subj:
Puzzles - Uncle Art's Funland V (S714b)
By N.A.Nugent From: UnitedFeatures.com on 9/19/2010 |
Uncle Art's Funland appears in
the Sunday comics.
Click 'HERE'
to multiply this magic sixteen-digit
number by any single number
from 1 to 9, and the
answer will always contain the
sixteen original
digits.
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| Subj:
Puzzles - Uncle Art's Funland VI (S734)
By N.A.Nugent From: UnitedFeatures.com on 2/6/2011 |
|
Uncle Art's Funland appears in
the Sunday comics.
Click 'HERE'
to try to make a perfect square with
one dot on each side.
The numbers are used for
the solution.
.
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 |
Subj:
Puzzles - A Pear-Plexing Problem (S690)
From: Games Magazine ( in BrainTeasers) Published in the 80s and 90s |
Can you turn this picture into
a correctly worked
division problem, by substituting
a different digit
from 1 to 9 for each type of
fruit? Click 'HERE'
this division-logic problem.
.
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 |
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