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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...
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...
2/14/2010 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...
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