Subj:
Math4b  Supp
(Includes 47 jokes and articles, 17 1014n,23,cf,vYT3,10)
Click "Here" for MATH4bSupp2


3D Puzzle from Pentomino Site 
============================================================Top
Subj: MATH
PROB.  Semicircle In A Triangle (S492)
From: Nick's Mathematical Puzzles on 2/24/2006
Source: http://www.qbyte.org/puzzles/puzzle15.html
In ABC, side AB = 20, AC = 11,
and BC = 13. Find the diameter
of the semicircle inscribed
in ABC, whose diameter lies on AB,
and that is tangent to AC and
BC.
.
.................
.
The solution can be found at
the source above.
Top
Subj: MATH
PROB.  Meat Purchase (S490)
From: Exidor's Logic Puzzle Place on 6/11/2006
Source: http://www.thakur.demon.nl/index_1.html
A butcher goes to the market
with $100 cash. He has to buy
exactly 100 animals. There
are cows, geese and chicken for
sale. A cow costs $15, a goose
is $1 and a chicken costs
$0.25. He has to buy at
least one of each animal and has
to spend all his money.
What does the butcher buy?
Top
Subj: Math
Prob.  Three Women's Ages (S531c)
From: Puzzles And Brain Teasers on 3/19/07
Source: http://people.virginia.edu/~rhp/Riddles/riddle4.htm
THIS WEEKS CONTEST TEASER "Puzzle #22"
Joan and Jane are sisters. Jean
is Joan's daughter and 12
years younger than her aunt.
Joan is twice as old as Jean.
Four years ago, Joan was the
same age as Jane is now, and
Jane was twice as old as her
niece. How old is Jean?
The solution can be found at the source above.
Top
Subj: Math
Prob.  Crab Weights (S528)
From: Puzzles And Brain Teasers on 3/1/07
Source: http://towyncoyote.livejournal.com/95595.html
If a crab and a half weigh a
pound and a half, but the half
crab weighs half as much again
as the whole crab, what do
half the whole crab and the
whole of the half crab weigh?
The solution can be found at the source above.
Top
Subj: Math
Prob.  Three Sister's Ages (S523c)
From: Puzzles And Brain Teasers on 1/18/07
Source: http://www.justriddlesandmore.com/Brainbusters/BB34.html
Of three sisters named April,
May, and June, none is yet
twentyone. April is now
as old as June was fourteen years
ago and twothirds of May's
age. May, on the other hand,
will be June's age when May
is twice as old as she is now
plus two years. Three
years ago, May was as old as April
is now. How old are April, May,
and June?
The solution can be found at the source above.
Top
Subj: Math
Prob.  Maria's Age (S521c)
From: Puzzles And Brain Teasers on 1/11/07
Source: https://in.answers.yahoo.com/question/
.........index?qid=20100601032752AAkoM9P
When Maria went to get a passport,
she had to give her real
date of birth, but under all
other circumstances she refused.
When somebody asked how old
she was, she said she was twenty
one. Mentally omitting
all Sundays. Sundays she didn't work,
so naturally she didn't get
any older. How old was Maria really?
The solution can be found at the source above.
Top
Subj: Math
Prob.  Two Clocks (S519)
From: Puzzles And Brain Teasers on 1/2/07
Source: http://www.justriddlesandmore.com/Brainbusters/BB73.html
Two clocks register midnight
at exactly the same time. One
clock loses a minute an hour
while the other clock gains a
minute a hour. When will
they again tell the same time?
The solution can be found at the source above.
Subj:
Math Prob.  Old Man Wrinkle's Age (S517)
From: Puzzles And Brain Teasers on 12/9/06 Old man from Puzzles and Brain Teasers 
Man Wrinkle spent onefourth
of his life as a boy, oneeighth
as a youth, and onehalf as
an active man. If Man Wrinkle
spent 10 years as an old man,
then how many years did he spend
as an active man?
Top
Subj: Math
Prob.  Marriage Knot (S516)
From: The Puzzle Page on 12/6/06
Source: http://puzzlepage.blogspot.com/2010/05/
.........whenfirstmarriageknotwastyd.html
When First the Marriage Knot
was Ty'd
by Erik Oosterwal
This little puzzle comes from
a book honoring the great puzzle
master Martin Gardner.
In the chapter titled Some Diophantine
Recreations, David Singmaster
presents the following poem which
appeared in The American Tutor's
Assistant, in 1791.
When first the marriage knot
was ty'd
Between my wife and me,
My age was to that of my bride
As three times three to three
But now when ten and half ten
years,
We man and wife have been,
Her age to mine exactly bears,
As eight is to sixteen;
Now tell, I pray, from what
I've said,
What were our ages when we wed?
Top
Subj: Math
Prob.  Three Beggars (S516c)
From: The Puzzle Page on 12/6/06
Source: http://puzzlepage.blogspot.com/2008/03/threebeggars.html
A charitable lady met a poor
man to whom she gave one cent
more than half of what she had
in her purse. The poor
fellow, who was a member of
the United Mendicants'
Association, managed, while
tendering his thanks, to chalk
the organization's sign of "a
good thing" to her clothing.
As a result, she met many objects
of charity as she proceeded
on her journey.
To the second applicant she gave
2 cents more than half of
what she had left. To
the third beggar she gave three cents
more than half of the remainder.
She now had one penny left.
How much money did she start out with?
Subj:
Math Prob.  Four Balls In A Hat (S514c)
From: Daily Brain Teasers on 11/22/2006 Source: http://dailybrainteaser.blogspot.com/ 
This is a famous paradox which
has caused a great deal of
argument and disbelief from
many who cannot accept the correct
answer. Four balls are
placed in a hat. One is white, one is
blue and the other two are red.
The hat is shaken and someone
draws two balls from the hat.
He looks at the two balls and
announces that at least one
of them is red. What are the
chances that the other ball
he has drawn out is also red?
The amazing solution can be found at the source above.
Top
Subj: Math
Prob.  Fruit Stand Weights (S512c)
From: Daily Brain Teasers on 11/9/2006
Source: http://mathforum.org/library/drmath/view/53094.html
A boy selling fruit has only
three weights, but with them
he can weigh any whole number
of pounds from 1 lb. to 13 lb.
inclusive. What weights
does he have?
Top
Subj: Math
Prob.  Cost of War (S511)
From: Lamohlavy  BrainTeasers on 11/2/2006
Source: http://brainden.com/forum/topic/14costofwar/
Here's a variation on a famous
puzzle by Lewis Carroll,
who wrote Alice's Adventures
in Wonderland. A group of
100 soldiers suffered the following
injuries in a battle:
70 soldiers lost an eye, 75
lost an ear, 85 lost a leg,
and 80 lost an arm. What
is the minimum number of soldiers
who must have lost all 4?
Top
Subj: MATH
PROB.  Karen's Age (S507)
From: CoolMath.com on 10/13/2006
Source: http://puzzlepage.blogspot.com/2008_03_01_archive.html
Nine years ago, Karen was in her prime.
Eight years ago, She was a power of a prime.
And last year, Karen was really odd.
How old is Karen now?
Top
Subj: MATH
PROB.  What Is The Next Number? (S507c)
From: tromeo on 10/6/2006
Source: (Removed from apuzzlezone.com)
What is the next number in this
series:
1248 1632 6412 8256 ????
To see the solution click 'HERE'.
Top
Subj: MATH
PROB.  A String Of Ones (S503)
From: MathsChallenge.net on 9/13/2006
Source: http://mathschallenge.net/index.php?
.........section=problems?show=true?titleid=string_of_ones
A number consisting entirely
of the digit one is called
a repunit; for example, 11111.
Find the smallest repunit that
is divisible by 63.
To see Abe's solution click 'HERE'.
Top
Subj: MATH
PROB.  Word Arithmetic (S498)
..........©
Copyright 2000, Jim Loy
Source: (Removed from jimloy.com)
The name "word arithmetic" is
used in Dell puzzle magazines.
It is a form of "cryptarithm."
A word arithmetic is a long
division problem, with letters
in place of the actual numbers.
Each letter stands for a different
digit. When you are done,
the letters, when listed in
numeric order, spell out a coherent
word or phrase.
Here is a typical Word Arithmetic
problem (except that you
don't see any familiar words
in it):
ABC

DE)AFCGH
DE

IDG
ICD

FJH
FGA

JB
To see the solution, go to the source above.
Top
Subj: MATH
PROB.  Eve Did Talk (S496c)
© Copyright 2000, Jim Loy
Source: http://able2know.org/topic/16663113
This problem comes from the excellent
book, SelfWorking
Number Magic by Karl Fulves.
Every letter stands for a
different digit. Can you
figure the original equation?
EVE/DID=.TALKTALKTALKTALKTALKTALK...
To see the solution, go to the source above.
Top
Subj: MATH
PROB.  What Number Comes Next? (S495c, S638)
From: LABLaughsRiddles on 7/20/2006 and 3/3/2009
What number comes next?
1 4 7 11 15 19 ?
x
x
x
x
x
Scroll down for the answer
x
x
x
x
x
Here it comes
x
x
x
x
x
It's 17 because Seventeen has 9 letters.
One is the first number with 3 letters.
Four is the first number with 4 letters.
Seven is the first number with 5 letters.
Eleven is the first number with 6
letters.
Fifteen is the first number with 7
letters.
ninteen is the first number with 8
letters.
Top
Subj: MATH
PROB.  The Father's Will (S495)
© Copyright 2003, Jim Loy
Source: http://brainden.com/forum/topic/13312/
There is a wellknown story (the
details vary) of a father
who, when he died left his seven
camels to his three sons
in the following way: The eldest
son was to receive one
half of the camels, the middle
son was to receive one fourth,
and the youngest was to receive
one eighth. This will
disturbed the sons greatly,
because it seemed to necessitate
cutting some of the camels into
pieces. The family's wise
neighbor volunteered to solve
the problem for them. He added
one of his own camels to the
herd, bringing the number up to
eight. Then the eldest
son received four, the middle son
received two, and the youngest
son received one camel. The
wise neighbor then took back
his camel, and everyone was
happy. Kinda amazing, huh? Was
this solution fair?
To see the solution, go to the source above.
Top
Subj: MATH
PROB.  Find The Ants Shortest Route (S495c)
From: Maths Medicine on 7/19/2006
Source: http://www.mathsmed.co.uk/
.
..........
.
Top
Subj: MATH
PROB.  123456789 = 100 (S494)
© Copyright 2003, Jim Loy
Source: http://www.riddlers.org/riddles/30
Puzzle: Make the numbers 123456789
add up to 100, by
inserting any of these arithmetic
operations (+  * /)
into the string of numbers (and
keeping the numbers in
the above order).
To see 101 solutions, go to the source above.
Top
Subj: MATH
PROB.  Number Riddle (S493c)
From: LABLaughsRiddles on 7/9/2006
Double my number, I'm less than
a score, half of my number
is less than four. Add one to
my double when bakers are near,
days of the week are still greater,
I fear. What am I?
x
x
x
x
x
Scroll down for the answer
x
x
x
x
x
Here it comes
x
x
x
x
x
The number 6
Top
Subj: LOGIC
PROBLEM  Is this true? (S531)
From: Puzzles And Brain Teasers on 3/17/07
Source: http://www.justriddlesandmore.com/Brainbusters/BB71.html
Five times four twenty, plus
two, equals twentythree.
Is this true?
The solution can be found at the source above.
Subj:
LOGIC PROBLEM  Frog Leap (S530c)
From: drgolfmd on 3/15/2007 
This very cute logic puzzle is
embedded in a Microsoft
XLS Spreadsheet. You can
play it by clicking 'HERE'.
This will download an XLS file
to your computer.
Subj:
LOGIC PROBLEM  Frog Leap II (S624b)
From: gordonschuk on 12/21/2008 Source: (Removed from funstufftosee.com) 
In this cute logic puzzle, move
the three brown
frogs to the left three rocks,
and the three green
frogs to the right three rocks.
You can play this
SWF game by clicking 'HERE'.
Top
Subj: LOGIC
PROBLEM  Complete The Analogy (S530)
From: Puzzles And Brain Teasers on 3/12/07
Source: (Removed from apuzzlezone.com)
This Weeks Contest Teaser is
"Puzzle #21"
.
.........
.
I'm sorry there is not solution
listed here.
Top
Subj: LOGIC
PROB.  FourDigit Number (S515c)
..........From:
QuickLogicPuzzles.com on 11/30/06
Source: http://www.robertwilliams.org/qlp/index.html
Four guesses of a fourdigit
number are given.
.
..........
.
What is the right fifth guess?
H stands for a hit and
M stands for a misplaced number.
Top
Subj: LOGIC
PROB.  Crossing Time (S506)
From: LeisureIdeas on 9/30/2006
Source: http://www.eatagarden.info/fun%20things%20to%20do/fun
.........%20things%20to%20do%20at%20home/puzzles/logic%20puzzles.htm
A man leaves his home at 2:00
p.m. Friday to begin a hike
up a mountain. That night
he sleeps at the top of the
mountain and at 2:00 p.m.
Saturday begins his journey
down the mountain to his home.
On both legs of the trip
he occasionly stops to look
at the view or to rest and
pays little attention to the
time. He follows the same
trail on both days. Is
it likely that sometime Saturday
he would be at the same place
on the trail at the same
time of day as he was on Friday?
The solution can be found at the source above.
Top
Subj: LOGIC
PROB.  How Many Circles? (S506c)
From: LeisureIdeas on 9/30/2006
Source: http://www.eatagarden.info/fun%20things%20to%20do/fun
.........%20things%20to%20do%20at%20home/puzzles/logic%20puzzles.htm
There are 5 dots drawn randomly
on a sheet of paper.
How many circles can be drawn
so that each circle
passes through three dots?
The solution can be found at the source above.
Top
Subj: LOGIC
PROB.  Consecutive Elements (S505c)
The Ultimate Puzzle Site on 9/23/2006
Source: (Removed from puzzle.dse.nl)
.
The following four objects
have


something in common:

One of these three objects
is the


next element in the row.

The Question: Which one is the next element?  
.  
Click 'HERE' for the solution. 
Top
Subj: LOGIC
PROB.  HAT's Off (S498c)
From: Steve Miller's Math Riddle Pages on 8/9/2006
Source: http://mathriddles.williams.edu/?p=64
Three mathematicians are applying
for a job. There are 5
hats, 3 white, 2 black. They're
lined up, and a hat is
placed on each. The first
person in line cannot see any
hat; the second in line sees
only the hat of the person
in front of him; the third person
sees only the hats of
the two people in front of her.
The first person to
correctly figure out what color
hat they have gets the
job; you guess wrong and you
are killed. Assume these
are INTELLIGENT mathematicians,
and that they will do
the logically correct thing
at each stage  if something
can be deduced, they will.
After a long pause, the first
person, who cannot see any hats,
says he knows the color
of his hat. What is the color,
and how does he know?
Subj:
LOGIC PROB.  Figure Logic 1 (S496)
© Copyright 2000, Jim Loy Source: (Removed from jimloy.com) 
Figure Logic looks much like
a crossword puzzle. And
solving it is much like solving
a crossword puzzle.
There are numbered clues, and
you can deduce inter
relationships between the numbers.
When solved, each
little square will contain a
one digit number. None
of the multiple digit numbers
(like 1across) begins
with a zero. The same
digit may occur more than once
in a multiple digit number.
You can solve by clicking
'HERE'.
Subj:
LOGIC PROB.  Figure Logic 2 (S497c)
© Copyright 2000, Jim Loy Source: (Removed from jimloy.com) 
Here is another figure logic
designed by Jim Loy. You
can solve it by clicking 'HERE'.
Top
Subj: Puzzle
 Count The Triangles (S525)
From: Daily Brain Teasers/Puzzles on 1/31/07
Source: (Removed from apuzzlezone.com)
THIS WEEKS CONTEST TEASER "Puzzle #18"
How many triangles of any size
are in this figure?
.
.........
I'm sorry there is not solution
listed here.
Top
Subj: Puzzle
 5 By 5 Magic Square (S526c)
From: Daily Brain Teasers/Puzzles on 1/31/07
Source: http://www.mathematischebasteleien.de/magsquare.htm
Each row of numbers has a common
total, each column of
numbers has the same common
total, and the numbers in each
of the two diagonals have the
same total. We called this a
"magic square."
816
357
492
Now, can you arrange the numbers
1 to 25 so as to form a
magic square? This square
will have five numbers in each
row, column, and diagonal.
And the numbers in each of
these will add up to the same
total.
The solution can be found at the source above.
Top
Subj: Puzzle
 Two Ropes (S525)
From: Daily Brain Teasers/Puzzles on 1/31/07
Source: http://rs.io/thescienceofproblemsolving/
In a room you find nothing but
two ropes hanging from the
ceiling and a pair of pliers.
You are to bring the lower
ends of the ropes together and
tie them in a knot. If you
grab one rope and pull it towards
the other as far as you
can, your outstretched arm still
falls shy a foot of the
other rope. And should
you hold the pliers in the free
hand you still cannot quite
reach the other rope. The ropes
cannot be unraveled, but this
problem can be. Do so.
The solution can be found at the source above.
Top
Subj: Puzzle
 How Many Squares (S524c)
..........From:
Daily Brain Teasers/Puzzles on 1/29/07
Source: (Removed from apuzzlezone.com)
Weekly Brain Teaser "Puzzle #15"
How many squares of any size
are in the figure?
.
........
.
I'm sorry there is not solution
listed here.
Top
Subj: Puzzle
 The Elder Twin (S515)
From: Lamohlavy on 11/30/06
Source: http://brainden.com/crossingriver.htm
One day Kerry celebrated her
birthday. Two days later her
older twin brother, Terry, celebrated
his birthday. How Come?
This puzzle was submitted to
Games Magazine's 'How Come'
competition in 1992 by Judy
Dean. It won.
Subj:
Puzzle  Artist's Puzzle (S511c)
From: BrainJuice on 11/2/2006 Source: http://www.braingle.com/brain 
Sketch from Art of the State 
Two and a half artists spend
two and a half hours painting
two and a half models on two
and a half canvases. How many
artists are necessary to paint
twentyfour models on twenty
four canvases in twenty hours?
Top
Subj: Puzzle
 Coal, Carrot, And A Scarf (S509c)
From: Analytical Problems and Puzzles on 10/23/2006
Source: http://www.folj.com/lateral/fanciful.htm
Five pieces of coal, a carrot
and a scarf are lying on a
hill near a remote house.
Nobody put them on the lawn
but there is a perfectly logical
reason why they should
be there. What is it?
Top
Subj: Puzzle
 Rotating Coin Paradox (S504)
From: curiouser.co.uk on 9/18/2006
Source: http://www.curiouser.co.uk/puzzles/coin.htm
Consider two round coins of equal
size. Imagine holding
one still so that it does not
move and then rolling the
other coin around it, making
sure that it does not slip.
The rims are kept touching at
all times. How many times
will the moving coin have rotated
after it has completed
one revolution of the stationary
coin?
Don't try it until you have thought
about it. You may be
surprised. The solution
can be found at the source above.
Subj:
Puzzle  Map Coloring (S502c)
From: The Handley Math Page on 9/5/2006 ..........At: (Removed from pen.k12.va.us) 
All maps can be colored with
at most four colors. Try to
color these four pictures with
no more than four colors
by clicking 'HERE'.
Subj:
Puzzle  Square Puzzle (S500)
From: Ultimate Puzzle Site on 8/15/06 Source: (Removed from puzzle.dse.nl) 
To see this puzzle click 'HERE'.
Print the picture,
and cut the pieces out. The
five pieces shown must
be put together to a square.
Top
Subj: Puzzle
 Draw Four Lines (S500c)
From: Free Puzzles on 8/15/2006
Source: (Removed from freepuzzles.com)
Within the rectangle,
draw a
line to connect from circle 1 to the other circle 1, then draw a line from circle 2 to the other circle 2, and so on. There should not be any inter sections. All the lines cannot go out of the rectangle. 
Top
Subj: Puzzle
 Five Queens And Three Pawns (S497)
From: Steve Miller's Math Riddle Pages on 7/31/2006
Source: http://forums.soompi.com/en/topic/
.........137851chessriddlewhosgoodatlogic/
Consider a 5 by 5 Chess Board.
Is it possible to place
5 Queens on the board such that
three pawns can safely
be placed on the board? (aka,
by carefully choosing where
to place the 5 queens, can you
arrange it so that there
are 3 squares on the board that
none of the queens can
attack)
Subj:
Puzzle  Magic Gopher (S492)
From: darrell94590 on 7/5/2006 Source: (Removed from learnenglish.org.uk) 
This is a cute mind reading math
puzzle. You can play it
by clicking 'HERE'.
\\\//
(o o)
========================oOO==(_)==OOo======================
.
..........................From
Imogenelumen on 8/8/04
.
.
.