Date |
Title |
First Line of Text ... |

3/8/2015 |
Show That Krieger Is wrong! |
Nineteen years have passed. It is time to celebrate Profe... |

3/1/2015 |
An "Argumentative" Teacher and Her "Argumentative" Pupil |
Logic can create all kinds of problems. Consider this dil... |

2/22/2015 |
Extending the Pythagorean Theorem |
Prove that the cube of the hypotenuse of a right triangle... |

2/15/2015 |
Imaginary Problems That Won't Go Away... Even When Ordered |
Question 1: Are ii and i-i real numbers?
Question 2: If... |

2/8/2015 |
Olde Stumpers |
When I taught middle school mathematics, my students love... |

2/1/2015 |
Only Columbo Could Solve This One! |
Ace Detective Shamrock Bones of the City Homicide Squad i... |

1/25/2015 |
Five Problem Play |
In late August, 1990, The Oregon Council of Teachers of Mat... |

1/18/2015 |
Pushing You Beyond What You May Know (Remember!) |
The idea of finite arithmetic or modulo systems is well kno... |

1/11/2015 |
Using The Yul Brynner Theorem (or Vin Diesel Theorem) |
Note: These number series were taken from a practice test f... |

1/4/2015 |
A New Year's Resolution: Pose Better Problems Than This One... |
It's a New Year! Time for a problem that may appear to be... |

12/14/2014 |
When Test Questions Work |
Following the previous two week's discussions, this note ... |

12/7/2014 |
When Test Questions Fail |
Following last week's discussion, this note continues wit... |

11/30/2014 |
Sawing Wood With Elation! |
Why is it that we jump with elation when we discover math... |

11/23/2014 |
A *Deja Vu* Problem All Over Again |
How many pairs of positive fractions with denominators 3 ... |

11/16/2014 |
An Average Cubic |
Consider the general cubic function f(x) = ax3 + bx2 + cx... |

11/9/2014 |
Alice the Ant Scales the Burj Khalifa |
Alice the ant is climbing to the top of the tallest man-m... |

10/26/2014 |
Making a Magic Trick More Magical...O' Ye Beast of a Number |
Try this trick...
Wrte down a 3-digit number (e.g. 276)... |

10/19/2014 |
Draw and Turn...Repeating... |
Start with several sheets of graph paper and a repeating ... |

10/12/2014 |
Snail With Confidence |
A snail crawls along a seven inch-long rubber band.
Afte... |

10/5/2014 |
Two Friends: Linear and Quadratic Equations |
You know a lot about linear and quadratic equations...but... |

9/28/2014 |
Do You Believe... |
What is the probability that the equation x2+2bx+c = 0 ha... |

9/21/2014 |
It's O. the T. of M. T. |
This week's activity is another "break" from st... |

9/14/2014 |
Lawyers vs. Doctors |
The average age of a group of lawyers is 50. The average ... |

6/8/2014 |
Seems Simple Enough...HELP! |
An auto race is taking place on a circular track. The tot... |

6/1/2014 |
Geometry of the 1950's (continued) |
Many math teachers claim that geometry has changed over the... |

5/25/2014 |
Geometry of the 1950's |
Many math teachers claim that geometry has changed over the... |

5/18/2014 |
Where? And Up or Down? |
Some problems prove more interesting to students, and I am ... |

5/11/2014 |
NAC UYO DARE HITS? |
This week's activity is another "break" from st... |

5/4/2014 |
Play With Fractions: Five Acts and an Encore |
Some problems can seem simple, yet can be challenging. Th... |

4/27/2014 |
One Is the Loneliest Number But Also a Happy Number? |
Consider the number 17...
12+72=50 ....
52+02=25 ....
2... |

4/20/2014 |
One Student's Insight Trumps Twenty Students' Blinders |
This problem has an interesting history. It was first use... |

4/13/2014 |
WhyThe Oldest Liked Strawberry Pudding... |
Every math teacher (and perhaps even many students) have th... |

4/6/2014 |
The Old New Math Revisted |
Consider these test items from a SAT exam prior to 1965. ... |

3/30/2014 |
Time For a Break of Sorts |
This week's activity is a "break" from standard... |

3/23/2014 |
ABDBDBBDBDAAB |
Note: These "mathematical reasoning" problems w... |

3/16/2014 |
Visualizing An Infinity You Can't See But Know is There |
Note: Sometimes old-but-not-olde math texts include some pr... |

3/9/2014 |
Replacing Circles ala No Pi |
Note: Sometimes old-but-not-olde math texts include some pr... |

3/2/2014 |
Not-So-Bland Land Problems |
Note: Sometimes old-but-not-olde math texts include some pr... |

2/23/2014 |
Surprise! An Alge-prize!...But Why? |
Complete these steps:
Start with the equation x2+x-6 = 0... |

2/16/2014 |
Some People Are Moving |
Fifty people wish to reach a place 27 1/2 miles away. The... |

2/9/2014 |
Thinking of a Square...and a Circle |
Note: While contemplating a square and a circle, these ques... |

2/2/2014 |
Solving Math Problems Differently Now.... |
These problems illustrate an interesting change in doing ... |

1/26/2014 |
My Kingdom for an Auxillary Line Segment |
Note A: This conjecture sounds simple...until you try it. B... |

1/19/2014 |
Keeping a Cow Happy |
Note: Do each of these problems in order...they get increas... |

1/12/2014 |
A Favorite Classic That Needs to be Shared... |
Note A: This problem is best explored using dynamic geome... |

1/5/2014 |
Play the Game: Watch the Moving Point! |
Your Task: Each of these situations describe a point P or (... |

12/8/2013 |
All is Fair...Except Possibly in Card Games or... |
Stu Dent and Polly Dent are playing a new game. Each play... |

12/1/2013 |
Separating Truth From Ficticious Geometry...Nein! |
Your Task: Are these conjectures true or false? If true, ... |

11/24/2013 |
Algebra and Geometry: Re-United in Marriage? |
The MathLint for this week discusses the failed marriage ... |

11/17/2013 |
Assure A Sure Bet...You Sure? |
A gambler, dissatisfied with his tendency to lose on bets... |

11/10/2013 |
Guarded With a Twist of Logic |
Consider this "logical" argument....adapted from ... |

11/3/2013 |
Proof: Your IQ = Einstein's IQ |
Consider this proof...
Let Y equal your IQ and E equal E... |

10/27/2013 |
Setting a Flight Plan |
This exploration is based on a problem taken from a text ... |

10/20/2013 |
A Mathematical Pattern...No Lying! |
Compared to all other subject areas, patterns are such a sp... |

10/13/2013 |
Three Teasers of the Visual Kind |
Problem 1: What is the least number of cubical bricks tha... |

10/6/2013 |
Three Teasers of Different Sorts |
Problem 1: In the center of a circle 9 ft. in radius is a... |

9/29/2013 |
Can You....? |
Mathematics is filled with claims that are too often give... |

9/22/2013 |
Dedekind's Kingdom for a Definition of "Exact" |
Consider these "exact" sums:
2 + 3
1/2 + 1... |

9/15/2013 |
Sleepy Sailors Give Their Pet Monkey a Coconut |
Two sailors have equal rights in a pile of coconuts, and ... |

9/8/2013 |
An "Indirect" Classic |
Each of three blindfolded girls--call them Elsie, Lacey, ... |

6/2/2013 |
A Problem to Ponder Throughout the Summer |
As a way to belay her grading of exams, MJ (Bellingham) sen... |

5/26/2013 |
Tile A-While in Style |
Start with a bag...
In the bag, place eight yellow tiles... |

5/19/2013 |
Warning: This Problem Sounds Easy...But... |
Observation: Consider the circle with center O. All chord... |

5/12/2013 |
De-Trix: Magical Matrix |
This trick was performed on television by the famous magi... |

5/5/2013 |
The Mundane Becomes Repeatingly Unmundane |
Sometimes interesting mathematical problems can be found in... |

4/28/2013 |
Is This Proof Number 368? |
Seattle-area mathematics Teacher D.E. and his student C.J. ... |

4/21/2013 |
"Conversion" Magic Squares |
Two years ago, MathNEXUS shared an unusal problem involving... |

4/14/2013 |
Dissection Recreation |
Draw a rectangle...
Dissect (i.e. cut) it into two congr... |

4/7/2013 |
Agree or Disagree? |
On behalf of her family and friends, Frances Bobner threa... |

3/31/2013 |
Replacing Intuitive Notions With Second-Thought Intutions: Part II |
You draw two balls at random from a bag containing blue a... |

3/24/2013 |
Replacing Intuitive Notions With Second-Thought Intutions |
Suppose you have an isosceles triangle with equal sides S... |

3/17/2013 |
Five Points Living In a Unit Square |
Suppose you have placed five random points all in, or on,... |

3/10/2013 |
The Obliterated Multiplication |
Stu Den did a multiplication problem on his paper, but then... |

3/3/2013 |
Doodling With the Stars |
We all like to draw stars with five lines...but, at its bas... |

2/24/2013 |
Four "Simple" But "Serious" Problems |
On this week's recommended website MathOverFlow.com, Michae... |

2/17/2013 |
Tic-Tac-Toe-Reflect |
I assume you know the rules of Tic-Tac-Toe...
Given this... |

2/10/2013 |
It is Your Turn to Throw |
Consider these three dartboards, with their respective dime... |

2/3/2013 |
Mathematical Magic That Usually Works |
Mathematical magic tricks are fun, but often they can be ... |

1/27/2013 |
When Wrong Becomes Right! |
Too often, students compute by blindly moving symbols aroun... |

1/20/2013 |
Two Quickies to Explore Quickly |
Quickie #1: Take 4 dice. Can you place them in a square a... |

1/13/2013 |
Domino Chain: Your Play? |
Your friend takes a domino and asks you to build a chain ... |

1/6/2013 |
Two Slimy Slithering Snails |
In a garden, two snails are hurrying along on their daily... |

12/9/2012 |
Dig Your Way Out of These! |
Stewart's Calculus offers "The Snow Plow Problem&quo... |

12/2/2012 |
Extending the Number Trick |
All three of the following magical tricks deal with the i... |

11/25/2012 |
A Gentle Introduction to Casting Out 9's |
A mathematics teacher asks a student of her class to choo... |

11/18/2012 |
Split the Check, No Tip |
Three men were in a resturant and decided to split the bi... |

11/11/2012 |
Who Is the Culprit? |
One of five brothers has broken a window.
John said, &qu... |

11/4/2012 |
Huh? Say That Again... |
Polly Dent and Pepso Dent are sisters (one dances and t... |

10/28/2012 |
Extending Problems...To Where Students Should Also Go |
Problem 1: How can a farmer plant 10 trees so that she ha... |

10/21/2012 |
1983 Oregon Invitational Mathematics Tournament-PART B2 |
Have times (e.g. goals, content focus, etc.) changed in m... |

10/14/2012 |
1983 Oregon Invitational Mathematics Tournament-PART B1 |
Have times (e.g. goals, content focus, etc.) changed in m... |

10/7/2012 |
Moving From Right to Wrong to Right |
Two weeks ago, attempting to show how times (e.g. goals, co... |

9/30/2012 |
Oops...Did You Catch the Error Last Week? |
Last week, attempting to show how times (e.g. goals, conten... |

9/23/2012 |
1983 Oregon Invitational Mathematics Tournament-PART A2 |
Have times (e.g. goals, content focus, etc.) changed in m... |

9/16/2012 |
1983 Oregon Invitational Mathematics Tournament-PART A1 |
Have times (e.g. goals, content focus, etc.) changed in m... |

9/9/2012 |
A Real-Life Problem in Real-Life? |
People who commute are facing a new dilemma, called "c... |

9/2/2012 |
Patterns Come in Threes...Or Do They? |
Take a 3-digit number whose digits are all different. For... |

6/3/2012 |
Connecting Fibonacci and Pythagoras |
I assume you know about the Fibonacci Numbers: 1,1,2,3,5... |

5/27/2012 |
Integrating History and Mathematics? |
Boyd Henry (1926-2009), former mathematics educator in Id... |

5/20/2012 |
Multiple-Choice Quandary |
Some standardized exam, now long forgotton, included this... |

5/13/2012 |
Don't Fence Me In |
Farmer Chuck purchased a plot of land surrounded by a fen... |

5/6/2012 |
Alice Loses a Friend |
Alice and Bob are flipping two coins randomly, with Alice... |

4/29/2012 |
Even More Serendipity |
In the Math News for this week, I revisit Beulah I. Shoesmi... |

4/22/2012 |
Count Dracula Says 6, You Say.... |
You challenge Count Dracula to play a numbers game: "... |

4/15/2012 |
Stu Dent Gets Fired |
This is one of my favorite set theory questions...
Stu... |

4/8/2012 |
Is It True What These Students Claim...? |
In 1972, the journal Mathematics Teaching published this Le... |

4/1/2012 |
Going Up Until You Go Down...With Surprises |
Unless you are quite proficient with statistics and probabi... |

3/25/2012 |
A Test With a Score of Zero |
For this problem, stop and think before rushing into poss... |

3/18/2012 |
Always An Integer Or... |
Here is another problem from the website BrainDen.com, wh... |

3/11/2012 |
Two Geometrical Think-a-Lots |
For these two problems, stop and think before rushing int... |

3/4/2012 |
The Polynomial Hunt |
The website BrainDen.com offers Brain Teasers, that often... |

2/26/2012 |
Large Problem From Below |
The context: One of my secondary math student teachers (M.O... |

2/19/2012 |
Saga of the Indecisive Insect |
Bill the Bug is about to travel along the number line.
H... |

2/12/2012 |
Cut The Cake, Please... |
"Selling It" occasionally is a section in Consume... |

2/5/2012 |
Which Is The Quickie and Which Is The Trickie? |
In the 1950's, Mathematics Magazine regularly published t... |

1/29/2012 |
Another Problem Begging to Be Extended |
Like a previous problem, the following problem was publishe... |

1/22/2012 |
Search For a Convex Example |
This is one of request or problem sent by a former student ... |

1/15/2012 |
Parallels to an Equilateral Triangle |
Be forewarned...this may not seem to be an easy problem...b... |

1/8/2012 |
Is The Year 2012 Special? |
On Eric Friedman's List of special numbers, the number 20... |

1/1/2012 |
A Mod Calendar for the New Year |
Given this is the start of a new year, the following prob... |

12/11/2011 |
A Problem Begging to Be Extended |
The following problem was published in Oregon Mathematics T... |

12/4/2011 |
Three Classical Problems For All (Ages...or Time) |
In 1982, Rosalie Jensen and David O'Neil (professors at G... |

11/27/2011 |
Stu Dent Errors Again! |
Stu Dent solved the following problem incorrectly.
Prob... |

11/20/2011 |
Why Is Fraction 1360518655681506310/99999999999999999999 Special? |
For this problem, stop and think before rushing into poss... |

11/13/2011 |
When My Dear Aunt Sally Did Not Help! |
When the twins Stu Dent and Polly Dent were caught using th... |

10/30/2011 |
The Haunted Castle--A Hallowe'en Logic Puzzle |
A friend gave me a copy of this logic puzzle, constructed b... |

10/23/2011 |
A Perfect Surprise |
Consider this rule: N is an integer such that the sum of th... |

10/16/2011 |
A Diet of Problems From An Unknown Source |
While cleaning out someone's file cabinet, I found a 13-p... |

10/9/2011 |
Think of a Fraction...Any Fraction... |
What is the probability that a random fraction is irreduc... |

10/2/2011 |
Understanding "False" Roots |
Some mathematical things that I have wondered about for a l... |

9/25/2011 |
The Case of the Special Multiplier to Test Divisibility |
The divisibility tests for 2, 3, 4, 5, 6, 8, and 9 are bo... |

9/18/2011 |
Multiple-Choice Lotteries |
You have decided to spend $100 on the lottery.
Is it bet... |

9/11/2011 |
Has Marilyn Done It Again? |
Marilyn vos Savant, owner of the world's highest IQ accordi... |

9/4/2011 |
People's Court: Do Bald Tires Help You Beat the Rap? |
Ray and Tom Magliozzi, of Car Talk fame, were asked this qu... |

6/5/2011 |
Dot-to-Dot for Adult Artists |
Create an N x M rectangular array of dots, where both N a... |

5/29/2011 |
M.O.: "A funny thing to find on the shelves at Walgreen's...." |
One of my students (M.O.) made an interesting dicovery on... |

5/22/2011 |
Backwards Batting Average |
An American League baseball player noticed that after he ... |

5/15/2011 |
Attention! General Eyes |
Consider...
(1+x3)2 = 1+2x3+x6
(1+x2)3 = 1+3x3+3x4+x6
... |

5/8/2011 |
How My Students Proved Me Wrong! |
Two men, X and Y, meet on the street. X says: "All t... |

5/1/2011 |
Fair Fare |
Columnist Marilyn vos Savant is famous for her takes on t... |

4/24/2011 |
A Contest For You...A Dare! |
Try these problems from an old Atlantic-Pacific Mathemati... |

4/17/2011 |
Play With These Old "Logic" Classics |
Many problems are repeated to the point that they become ... |

4/10/2011 |
Play With These Old "Rate" Classics |
Many problems are repeated to the point that they become ... |

4/3/2011 |
6 artel + 2 coombs - 3 frasila = 1 rotl? |
How is your knowledge of measuremenst in countries other ... |

3/27/2011 |
Average Impact |
Each of two students in a recently tested class has asked... |

3/20/2011 |
CSI Case #4051 |
Detectives investigating a crime find a bullet hole in a ... |

3/13/2011 |
Trigonometry Mathematical Word Scrabble |
Some problems are not problems...just fun explorations...th... |

3/6/2011 |
Some Sum! |
Find approximate values of the following partial sums, invo... |

2/27/2011 |
Magical Products |
You are probably aware of Magic Squares, and how they opera... |

2/20/2011 |
What's My Line? |
Two million points are randomly scattered in a circle (al... |

2/13/2011 |
Get Ready to Party! |
In the year 1928, the month of February contained five We... |

2/6/2011 |
Make Me A Valentine, She Said |
Two boys, Peter and Steven, are interested in taking Linda ... |

1/30/2011 |
Find My Angle, Said the Polygon! |
J.M. (Bellingham) sent me this problem (see original source... |

1/23/2011 |
Logic Outside the Box(es) |
Imagine you have three boxes, one containing two blue m... |

1/16/2011 |
A New Sport: Melt Racing |
Oh no! It is 8:30 pm on Christmas Eve and Frosty has been... |

1/9/2011 |
Area = Perimeter Sans Units? |
This week's Resource involves an interesting presentation b... |

1/2/2011 |
Piling On.... |
Eight identical sheets of paper have been placed overlapp... |

12/12/2010 |
Three GiftsTo Play With.... |
[Gift 1] A restaurant, whose owner is a puzzle fiend, was... |

12/5/2010 |
Merry Christmas, Euclid... |
Though this problem probably can be solved in multiple ways... |

11/28/2010 |
A Good Fraction Problem...or Even a Problem At All? |
In selecting problems each week for MathNEXUS, I search thr... |

11/21/2010 |
Trust Bruno or Not? |
A former student suggested this week's problem. It also pro... |

11/14/2010 |
What's Your Points? |
This week's problem was found via a daily internet feed tha... |

11/7/2010 |
Packing a Square With Rectangles |
This problem was asked by Michalia on Yahoo! Answers...
... |

10/31/2010 |
The Way to Weigh |
GIVEN: Twelve identically looking coins, except one is im... |

10/24/2010 |
Chips Ahoy |
Alice, Bonita, and Carmen have just finished playing thre... |

10/17/2010 |
A Way to Be Goal-Oriented |
Start at the number 3. Then, at each step, apply one of e... |

10/10/2010 |
Not On My Watch |
Inspector Lee looked once again in at the dead body of Ho... |

10/3/2010 |
Wait...Find the Weight? |
On a trip to the corner drugstore, you meet five girls wh... |

9/26/2010 |
A Path That Always Ends? |
Stu Dent has red, gray, and blue flagstones for making a ... |

9/19/2010 |
Shame on Math Textbooks...Says Mother Nature |
We wonder why our world is in such a sordid mess...foreign ... |

9/12/2010 |
Can You Get the Job....? |
Allegedly, this is a question posed to potential Microsoft ... |

9/5/2010 |
Professor Matteossian's Memory |
The following was supposed to be a humorous anecdote, makin... |

6/6/2010 |
Conquering Perspective Over the Summer |
Converging railroad tracks often are given as the example o... |

5/30/2010 |
Three Martin Gardner Posers! |
Poser One
Poser Two
Poser Three
Hope you enjoy the... |

5/23/2010 |
Many Questions...Crypto-Style! |
4 ? ?
x 3 ? ?
... |

5/16/2010 |
Brain Killers |
After a long career as a mathematics teacher, a good frie... |

5/9/2010 |
Lewis Caroll-ism |
THE GIVEN:
The only animals in this house are cats.
... |

5/2/2010 |
The Sign Says: Walk Don't Run! |
Twin sisters, Polly Dent and Pepso Dent, were going home ... |

4/25/2010 |
One Can Never Have Too Many Problems |
I am always on the lookout for good, interesting problems... |

4/18/2010 |
Harmonically Irrational? |
The web site BrainDen.com poses daily problems. The "... |

4/4/2010 |
Call Math When You get a Chance (Part III) |
A previous problem offered a phone-number translation gam... |

3/28/2010 |
Sherlock Does It Again! |
Sir Arthur Connan Doyle published his A Study in Scarlet ... |

3/21/2010 |
A Magical Trick to De-cypher Then Mimic |
Take your house number.
Double it.
Add five.
Multiply ... |

3/14/2010 |
A Discrete Plea! |
The original situation: Six groups, each consisting of ni... |

2/28/2010 |
Confusing Dice Game |
Two players are needed for this experiment.
Create three... |

2/21/2010 |
One Cookie Left...Right? |
John was sent out to buy some cookies.
"You'll have... |

2/14/2010 |
Do You Dare? |
This problem was found in the discussion section of the res... |

2/7/2010 |
The Morphing Dart Board |
A version of this problem was found in an old workshop pack... |

1/31/2010 |
Call Math When You get a Chance (Part II) |
A previous problem offered a phone-number translation gam... |

1/24/2010 |
A 95-Year-Old Unsolved Problem? |
While browsing through old newspapers in Garner (IA), I f... |

1/17/2010 |
Mensa and Womensa... |
Consider these three questions from a sample Mensa exam, ... |

1/10/2010 |
Magical Dominoes |
Suppose I spread out a regular double-six domino set (28 ... |

1/3/2010 |
New Year Deserves New Age Problem |
Age problems have always been a staple in mathematics tex... |

12/13/2009 |
Buying Cows and Eating at a Restaurant |
Two very unrealistic mathematics problems, yet they can b... |

12/6/2009 |
Lick These Limericks |
Limerick Problem #1:
Three different one-digit primes
... |

11/29/2009 |
Three Well-Aged Oldies |
Twenty-two years ago, I "published" a newslette... |

11/22/2009 |
And Michael Jordan Shoots... |
This problem was found in an old workshop packet from the 1... |

11/15/2009 |
Call Math When You get a Chance |
Since last week's problem dealt with patterns on a phone ... |

11/8/2009 |
Using Cell Phones in a Mathematics Class |
Study a touchtone phone's keypad, such as the one shown.
... |

11/1/2009 |
Doing Magic With Polynomials |
Stu Dent has mastered a new trick. It goes as follows...
... |

10/25/2009 |
Who Has to Do the Dishes? [Part 2] |
Before investigating this problem, be sure that you have do... |

10/18/2009 |
Who Has to Do the Dishes? [Part 1] |
The Dent twins have a dilemma....they live together but nei... |

10/11/2009 |
Where Is Crypto, the Magic Dog, When You Need Him? |
Entry into a building is controlled by a combination lock... |

10/4/2009 |
Take a Number and Wait in Line |
You are standing in the rain trying to hail a taxi cab in... |

9/27/2009 |
Moving Beyond a Proverb |
The English have a proverb: A broken clock is right twice a... |

9/20/2009 |
Archimedes Could Solve This Problem! |
M.J. (Bellingham, WA) shared this problem with me this summ... |

9/13/2009 |
Request for Help Answered |
In the May 30th issue of MathNEXUS, I printed two e-mails... |

8/30/2009 |
Proposed Solutions to Posed Problems |
Spring issues of MathNEXUS included several nonstandard p... |

5/31/2009 |
Problem of the Problem of the Week |
In the past week, I have received two e-mails regarding b... |

5/24/2009 |
"Seeing" is the Key, Especially in the Sun |
After several number theoretic problems, it is necessary to... |

5/17/2009 |
Inflationary Sequence |
At a mathematics conference recently, I picked up an intere... |

5/10/2009 |
Tee Off With This Real Life Problem |
D.P. (Sedro-Woolley, WA) asks for help on this real-life pr... |

5/3/2009 |
A Power-Full Problem |
At a mathematics conference recently, I picked up an intere... |

4/26/2009 |
Two More "New" Problem Solving Opportunities |
I am passing on two more problem-solving opportunities sent... |

4/19/2009 |
Two Posed Problems Ready For Your Investigation.... |
I am passing on a problem-solving opportunity sent to me by... |

4/12/2009 |
Even an Odd Problem: Just Playing Around.... |
While walking the dogs one morning, a small little probl... |

3/29/2009 |
Squaring the Circle in the Kitchen |
Consider this claim called "Pan Arithmetic," t... |

3/22/2009 |
Lunch Bunch |
On the last school day in March, the cafeteria served lu... |

3/15/2009 |
Safe Safe Except for Mathematical Yeggs |
To open a safe, Stu Dent knows that the combination is t... |

3/8/2009 |
Loop d-Loop |
Make up a 3-digit number whose digits are all different. ... |

3/1/2009 |
Chicken Nuggets Are a Problem |
There's a famous fast-food restaurant you can go to, wher... |

2/22/2009 |
Location Location Location!...Makes Cents |
Four fast food stands are to be opened on a circular high... |

2/15/2009 |
Cheap Sheep...Bleat! |
A brother and a sister inherited a herd of sheep. They so... |

2/8/2009 |
Polar Celebration |
Graph this unusual polar function correctly and you will... |

2/1/2009 |
Interview "Thinks" |
Consider this Question: Imagine a road that joins three c... |

1/25/2009 |
Blind Logic |
You are blindfolded, then asked to sit down at a table.
... |

1/18/2009 |
Triangles are Polygons But... |
Well-Known Fact ala Euclid: If two polygons are congruent,... |

1/11/2009 |
A Difficult Problem? |
The American Mathematics Contest 8 exam is designed for ... |

1/4/2009 |
Caterpillar Numbers--Type B |
Pick a natural number n
Rewrite the number n = 10T + U,... |

12/14/2008 |
Caterpillar Numbers--Type A |
Pick a natural number n
If n is even, divide by 2
If n... |

12/7/2008 |
Pattern Play - Act 17 |
Pick a natural number n
Find the product n(n+1)
Now ad... |

11/30/2008 |
Time is Money |
First, look at the video The Falling Dollar, which sho... |

11/23/2008 |
CryptoMath: 7 - 9 = 8? or 3 + 3 + 3 = 7? |
Every letter in the following problems represents a diff... |

11/16/2008 |
Egg-Citing Eggs-Perience |
A woman went to a local outdoor market with 20 eggs, ano... |

11/9/2008 |
Super Bowl Scores Predict Presidential Elections |
Consider these scores for recent Super Bowls for profess... |

11/2/2008 |
An Expanding Experience |
Joe Flubb had contracted to replace a 2-mile section of ... |

10/26/2008 |
Thoughts on the Cusp of a Presidential Election |
What is the smallest percent of the popular vote needed ... |

10/19/2008 |
Now Find Another Final Answer? |
Last week's Problem was a question asked by Carol Vorder... |

10/12/2008 |
Is That Your Final Answer? |
On Britain's Big Brain Game, host Carol Vorderman led a ... |

10/5/2008 |
Doing Mathematics: Playing With a Simple Pattern |
2 + 2 = 2 x 2
The above statement is very obvious if on... |

9/28/2008 |
Hiding Surprises Under Exponents |
Find all real values of x that satisfy (x2-5x+5)x2-9x+20... |

9/21/2008 |
Average Appearances Can Be Deceiving |
Problem A: A man in a car travels at 80 mph for 40 miles... |

9/14/2008 |
But Wait Until the Lawyers Get Involved.... |
A 50-mile-wide oil slick has been discovered off the Pac... |

9/7/2008 |
Tom's Take On Large-In-Life Numbers |
Consider this list of numbers, in increasing order:
100... |

8/31/2008 |
Went Fishing For The Summer! |
I was invited to spend a seven-day vacation fishing on B... |

6/15/2008 |
True, False, I Do Not Care... |
Consider this list of twelve statements:
Precisely one ... |

6/8/2008 |
Spectacular Spectacles in Spectropolis |
In a small village known as Spectropolis, every person w... |

6/1/2008 |
Who Plays Basketball? |
Smith, Brown, Jones, and Foster are the manager, an acco... |

5/11/2008 |
Plug It Up! |
Suppose you are given a board with three holes cut out of ... |

5/4/2008 |
Luna Legs It |
Luna walked 4 miles north, then 2 miles east, 1 mile sou... |

4/27/2008 |
A Hoop For Jumping From Middle School to Being a Teacher |
Consider this problem from Ontario's Middle School Examinatio... |

4/20/2008 |
Time For A Free Hearing Checkup |
In order to spread out the intensity of sounds so our ea... |

4/13/2008 |
No Time to Stop and Think |
The baseball season is back, and with it, some great mat... |

4/6/2008 |
Remember This Problem From 2/19/2008? |
On a Internet message board, "Mark" posted the fo... |

3/30/2008 |
Who Am I? |
I am a proper fraction.
The sum of my numerator and my ... |

3/23/2008 |
Mensa Matters |
These two mathematics-related questions are from a sampl... |

3/16/2008 |
Page for Paige |
Consider this dialogue from a 2006 Foxtrot cartoon by Bill... |

3/9/2008 |
Did the Dutch Make a Good Deal? |
On May 24, 1626, Peter Minuit, Director-General of the D... |

3/2/2008 |
Speeding Chickens |
Continuing with the theme of a speeding car......
Known... |

2/24/2008 |
Ticket or No Ticket? |
Known Fact: The distance a speeding car takes to stop is... |

2/17/2008 |
Mark Asks for Help |
On a Internet message board, "Mark" posted the fo... |

2/10/2008 |
The Elusive Imaginary |
We know: (-1)1/2 = i. But then we also have:
(-1)2/4 = [... |

2/3/2008 |
Prime Numbers Beget Prime Numbers |
Suppose P is a seven-digit prime number.
The consecutive... |

1/27/2008 |
How Clever Are You...... |
If A + B = 1 and A2 + B2 = 2, then what is A3 + B3?
If A ... |

1/20/2008 |
Mathville's Police Force |
The town of Mathsville is shaped like a rectangle with M... |

1/13/2008 |
A Sequence You Will Want to Share |
You have probably seen this sequence, which has been passed a... |

12/30/2007 |
Share and Share Alike |
When Karen inherited an amount of money, she divided it ... |

12/16/2007 |
Patterns Pop Up Everywhere! |
Complete the following:
1 + 0x1x2x3 = ?
1 + 1x2x3x4 = ?
... |

12/9/2007 |
Falling Flagpole |
Due to a storm, a flagpole broke at a certain point. The... |

12/2/2007 |
Etude for the Number N |
Consider the number 3 and write it as a sum:
1 + 1 + 1 ... |

11/25/2007 |
As a Fly Flies.... |
Two trains start at the same time in opposite directions... |

11/18/2007 |
Sounds Like a Law Suit is in the Wind... |
On a math ed listserve (purposely not identified), ES asked... |

11/11/2007 |
2007 Begets 2016 Begets 1008 Begets 504 Begets 252.... |
Step 1: Pick a whole number.
Step 2: If the number is e... |

11/4/2007 |
Multiple Marriages in Mathville |
In the town of Mathville, two-thirds of the adult women ... |

10/28/2007 |
Addition Magic |
Consider this Alphanumeric:
HOCUS + POCUS = PRESTO
Each... |

10/21/2007 |
Like Two Ships Passing in the Night... |
Two boats on opposite shores of a river start moving tow... |

10/14/2007 |
Trivial Pursuits of the Measurement Kind - Part II |
In 6000 B.C., the first standards for measurements were sup... |

10/7/2007 |
Odd or Even...Fair or Unfair? |
To determine who starts on offense in an ultimate Frisbe... |

9/30/2007 |
Baseball Salaries: Larger or Smaller than Predicted? |
The average salary S of a baseball player (in thousands ... |

9/23/2007 |
Trivial Pursuits of the Measurement Kind - Part I |
In 6000 B.C., the first standards for measurements were s... |

9/16/2007 |
Overflowing Pockets |
A current radio commercial for an insurance company makes... |

9/9/2007 |
A Sam Lloyd Classic |
A square formation of soldiers, 50 feet on a side, is mar... |

9/2/2007 |
Slugger at Bat |
Slugger McCoy has a batting average of 0.333, which repre... |

8/26/2007 |
Ben's Money Tree |
Consider this statement taken from the will of Benjamin Fra... |

6/17/2007 |
Stu Hears That Whistle A-Blowing.... |
Although warned of the danger numerous times, Stu Dent al... |

6/10/2007 |
A Secretary in Need of a New Job..or a Rest |
A "beyond-busy" careless secretary typed n lett... |

6/3/2007 |
To Grandma's House We Shall Need to Go.... |
The distance to grandma's house is 100 miles. The freeway... |

5/27/2007 |
W(hat) (Ha)t.... Ha! |
Three students are standing in a line single-file. The te... |

5/20/2007 |
Put Your Money Where Your Number Is! |
The twins Polly Dent and Pepso Dent decide to play a bett... |

5/13/2007 |
Ham Yesterday, Pork Today |
When Adrian, Buford, and Carter eat out at the local Shari'... |

5/6/2007 |
An Overdue Problem |
Situation One: On January 19, 2007, Robert Nuranen return... |

4/29/2007 |
The Center of the Problem |
The e-mail and its request were quite unexpected, being s... |

4/22/2007 |
The Amazing Tao |
On July 16, 1983, Terence Tao was asked the following se... |

4/15/2007 |
A Ball of Cable is a Ball of Fun |
IBM is currently running an interesting advertisement campa... |

4/13/2007 |
Nolan, We Miss You! |
The baseball season is back, and with it mathematical op... |

4/8/2007 |
Portraits of Pi etc |
This week's problems are connected to the web site oneth... |

4/1/2007 |
If Only Kris Could Remember the Combination... |
Kris found a treasure box. To open the box, she had to pu... |

3/25/2007 |
Liar, Liar... |
The raid on the bank was successful up to a point. The prec... |

3/18/2007 |
Tanner Takes the Cake |
First, try this version....
Tanner had a birthday cake w... |

3/11/2007 |
2 π Problems |
First, some review: if a line segment is rotated 360 degrees ... |

3/4/2007 |
Dina's Dilemma on Tape |
Dina was asked by her teacher to evaluate 999. Just befor... |

2/25/2007 |
Grilling Grundis |
There was trouble from the Grundi. One of them damaged th... |

2/18/2007 |
My Fingers Are Tired |
The News section for this week mentions Akira Haraguchi's cla... |

2/11/2007 |
See Tom Fly |
Tom Swift took off in his new experimental airplane and f... |

2/4/2007 |
My Name Is (Was)... |
Suppose a magician has N people write their full names on ... |

1/28/2007 |
A Sliding Ladder Problem...Thanks to Doug Shaw |
It is a beautiful Spring evening. You and your friends are si... |

1/21/2007 |
Doctcom Bubble Trouble |
Students need to hear stories about the bursting of the dot... |

1/14/2007 |
Rescramble Game: Where LAB GEAR becomes ALGEBRA |
Use the given clue to find the missing word. As a check on yo... |

1/7/2007 |
Table of Pennies, a Blindfold, and Mittons |
A table has an unknown quantity of pennies lying on it. Exa... |

12/31/2006 |
Fred the Frog Climbs the Walls |
While walking in the woods, Fred the frog fell into a hol... |

12/17/2006 |
Thinking-Out-Of-The-Box Mathematics |
The dimensions of a rectangular box also happen to be the... |

12/10/2006 |
Zeroes On My Mind |
Find the smallest integer N such that N! terminates in 50... |

12/3/2006 |
$1,000,000 Word |
In the September 1987 issue of the Arithmetic Teacher, Donn... |

11/26/2006 |
Six Quickies |
While attempting the following six "quick" problems... |

11/19/2006 |
Some Sums ala Mini-Soduko |
Find six different natural numbers and arrange them in this... |

11/12/2006 |
Intermediate Hoop Dreams? |
Suppose a basketball player shot below 80% in free-throw ... |

11/5/2006 |
Monty Hall Problem Extended |
The Monty Hall Problem is quite famous: Behind one of three... |

10/29/2006 |
23 Hours and Counting! |
The United Kingdom has a television show called Countdown (... |

10/22/2006 |
Math Guessing Game |
Two whole numbers m and n have been chosen but are unknown.... |

10/15/2006 |
Name Game: Set B |
This is part two of the test of your knowledge of a lexicon... |

10/8/2006 |
Sun, Camera, Action! |
A friend sent me the following photo, which is a real-eyebe... |

10/1/2006 |
A Problem From an Article on Arithmetic Anxiety |
A train leaves Colorado Springs at 9 a.m. bound for Bou... |

9/24/2006 |
How a Father Can Become a Best Friend |
Consider this problem, written by a third grader (in 1957!)... |

9/17/2006 |
Name Game: Set A |
Differing from past problems, this week's puzzler tests y... |

9/10/2006 |
Age-Old Problem |
Consider this problem:
Jane is 1/2 as old as Tom.
Mary ... |

9/3/2006 |
Bowl for a Car |
During a special promotion, a charity has set up a bowling ... |

8/27/2006 |
Eight Eights, Ay! |
My neighbor A.D., a retired Canadian electrician originally... |

6/25/2006 |
Dicey Die |
Consider this problem from the 1995 American Junior High ... |

6/18/2006 |
Trig Magic |
Do you like magic tricks? The following trick is appropri... |

6/11/2006 |
Game of Deja Vu... |
Each of the letters A, D, E, I, N, O, P, R, S is written ... |

6/4/2006 |
Bon Appetite! |
Eight volumes of a mathematics encyclopedia are standing ... |

5/28/2006 |
Alphabet Reversed |
ABCDE x 4 = EDCBA
Each of the five letters (A, B, C, D, E) s... |

5/21/2006 |
Getting to the Root of Things |
Take a number, such as 25. Now subtract the odds in seq... |

5/14/2006 |
Loosing Your Marbles? |
A hat contains two blue marbles and three red marbles. ... |

5/7/2006 |
Age-Old Old Age Problem |
A man (living now) states that he was x years old in th... |

4/30/2006 |
Making Sense of Cents |
If only our forefathers and foremothers had been wise enough ... |

4/23/2006 |
Weight vs. Length? |
Which would you choose: a ton of pennies or five miles of... |

4/16/2006 |
The Puzzle Book |
Wayne and Reg wrote:
We have this puzzle book and one day ... |

4/9/2006 |
Weird Numbers |
Definition: A natural number n is an "abundant number&qu... |

4/2/2006 |
Test Your Geometric Intuition |
Visualize the five Platonic Solids--Tetrahedron, Cube; Oc... |

3/26/2006 |
Paraskavedekatriaphobia, A Special Case of Triskaidekatriaphobia |
This year (2006), two Friday-the-13ths will occur (i.e. i... |

2/27/2006 |
The Armchair |
A very heavy armchair needs to be moved, but the only possi... |

2/20/2006 |
Thoughts About an Ugly Bathroom Floor |
A rectangular floor is composed of congruent square tiles, ... |

2/10/2006 |
Make Me A Valentine, She Said |
Two boys, Peter and Steven, are interested in taking Linda to... |

2/4/2006 |
Back Seat Mathematician |
A math teacher ... was driving along a country road ...when s... |

1/29/2006 |
Two Trains of Thought |
A passenger train takes three times as long to pass a fre... |

1/22/2006 |
Could You Repeat That? |
Jim gave Jill as many dollars as Jill already had.
When Jill... |

1/22/2006 |
Tangled Words and Messages |
Consider these two statements:
The percentage of men who... |

1/15/2006 |
A Limerick A Day... |
Improper, I'm prime down below;
And on top, two digits I... |

1/8/2006 |
Even Horses Can Become Odd |
Put nine horses into four rectangular pens so that each... |

1/1/2006 |
Animal Menagerie |
Gina and Tom raise cat and birds. They counted all of their ... |

12/16/2005 |
Pascal's Chrismas Gift |
Use Pascal's Triangle to find the number of items given each ... |

12/4/2005 |
Chaotic Confusion |
There are three men that each are on a business trip and deci... |

11/27/2005 |
Ups and Downs on a Mountain |
From her base camp on the lower edge of Mt. Baker, Polly De... |

11/20/2005 |
The Earth's Waist-Line |
Imagine that the earth is a perfect sphere with a metal wir... |

11/13/2005 |
Breaking News: 0 = 4 |
Consider this proof that 4 = 0. Since cos2(x) = 1 - sin2(x... |

11/6/2005 |
Circular Racing |
On a circular cycle track, two cyclists are preparing for t... |

10/23/2005 |
It Was Sum Picnic |
Suppose your school PTA sponsored a picnic and covered most... |

10/16/2005 |
The Car Dashed By |
"I was walking along the road at 3 1/2 miles/hour,&quo... |

10/9/2005 |
Splitting Cow Heirs |
In the reading of a rancher's will, his herd of cows was di... |

10/2/2005 |
Lester's Code |
Lester had a secret code where letters are used for digits. ... |

9/25/2005 |
Age-Old Age Problem |
Teresa is 13-years-old, and twelve children (including Teresa... |

9/18/2005 |
Couple Doubles |
Three women--Laura, Beth, and Tina--are married to three ... |

9/11/2005 |
Double Jeopardy |
It is obvious that 2 + 2 = 2 x 2. But, it there a number you... |

9/4/2005 |
Magical 45 |
The problem as originally stated in "Uncle Art's Funland... |

8/28/2005 |
Golden Oldie: Four 4's |
You are given four 4's. Write expressions equal to the... |

8/21/2005 |
Boxes of Fruit |
You are given three boxes, one contains two apples, one... |

8/14/2005 |
Guppies Galore |
You have 200 fish in a bowl such that 99% are guppies.
... |

8/7/2005 |
Number Names |
Think of a positive integer (e.g. 23).
Count the number of... |

7/31/2005 |
Climbing Stairs |
Suppose you are running up a staircase that involves th... |

7/24/2005 |
Star Angles |
After some geometry play with doodles and a protractor, Stu... |