 Problems and solutions of the UIUC Undergraduate Math Contest  University of Illinois at Urbana Champaign
A locally organized problems contest, held in the latter part of the spring semester. It is similar in format and content to the Putnam competition, but the problems are easier. Results, winners, and contest problems since 1996 are on the Web.
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 Problems  Bojan Mohar
Conjectures in graph theory ranging from paths to colorings to matchings to crossings. With references, links to other collections of open problems, and chapters of the book that Mohar authored with Carsten Thomassen, Graphs on Surfaces.
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 Problem Sets for Honors Multivariate Calculus  Stephen B. Maurer; Dept. of Mathematics & Statistics, Swarthmore College
This series of multivariate calculus problem sets supplements and is drawn from texts such as C. H. Edwards, Jr.'s Calculus of Vector Functions and Buck's Advanced Calculus. Problems include Change of Variable in Limits, Matrix Norms and Quadratic Forms,
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 Problems in Topological Graph Theory  Dan Archdeacon
An ongoing list of open questions in topological graph theory, to which the author invites contributions. Classical questions on genus; coloring graphs and maps; drawings and crossings; paths, cycles, and matchings; symmetries; locally planar embeddings;
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 The Problem Site  Douglas Twitchell
Math puzzles, brainteasers, strategy games, web quizzes, and informational pages. Flashpowered math games include Adders, Zap (slide tiles to move digits and add up to a specified sum), Side By Side (number rearrangement), One To Ten (given four numbers,
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 Problem Solving Strategies  Finlay McQuade, Boğaziçi University (Turkey)
Strategies for solving problems, each illustrated with sample math challenges and worked solutions: draw a diagram; make a list; guess and check; divide and conquer; look for a pattern; start at the end. Also available in Turkish.
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 Problems with a Point  Education Development Center, Inc. (EDC)
A collection of problems designed to help students in grades 612 learn new mathematical ideas by building on old ones. Varying in difficulty and approaches, these problems are useful for teachers, students, parents, math clubs, homeschoolers, and others.
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 Procon Technology  Maths Tips and Tricks  Peter King
Math tricks, divisibility rules, and mental math tricks, many from a book by Kjartan Poskitt called Numbers  the key to the universe, one of the books in the Murderous Maths series published by Scholastic.
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 Profile (John H. Conway): Not Just Fun and Games  Mark Alpert, Scientific American
A short biography of the Englishborn Princeton University mathematician and a discussion of some of his major mathematical contributions. ...over the past three decades Conway has made some of his greatest contributions to mathematical theory by analyzing
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 Prof. McFarland's Help Center for Mathematics Students  Thomas McFarland, Department of Mathematical and Computer Sciences, University of Wisconsin System
McFarland's handouts for courses such as Finite Mathematics, Basic Algebra, Calculus, and The Logic of Chess. Interactive (JavaScript) selftests or explorations cover integer and fractional exponents; factoring; reducing, adding, multiplying, and dividing
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 Progetto Polymath  Federico Peiretti
In Italian: E' un progetto didattico avviato da un gruppo di docenti delle superiori, dell'Università e del Politecnico di Torino, rivolto agli studenti delle superiori, con l'obiettivo di ritrovare la dimensione culturale della Matematica. Pubblica ogni
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 Progetto Rhoda  Emilio Brengio
"Numeri con qualità." Software (.exe) per la didattica della matematica nella scuola elementare: problemi; operazioni; geometria; logica; procedure e verifiche; poligoni, angoli, perimetri, e aree; e giochi.
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 Project Euler  Colin Hughes
Browse hundreds of challenging problems that require mathematical insights as well as computer and programming skills to solve. Popular puzzles include "Add all the natural numbers below one thousand that are multiples of 3 or 5," "By considering the
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 project Eureka
project Eureka is a collaboratively edited site for problem solvers/creators—regardless of problem or field. Add problems with quantifiable results; or group problems in a test.
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 ProMath Archive  Dept. of Mathematics, University of Kentucky
A 199596 competition offering Lexington area high school students an opportunity to work on interesting, challenging mathematical problems and to develop their problem solving skills and taste for individual work in Mathematics. The program had two complementary
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 Proofs in Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion of the value of proofs in the classroom, followed by a collection of proofs classified as either simple or charming. Simple proofs: Number of vowels in a Lewis Carroll game; Pigeonhole Principle; Number of X's and O's; Coloring points in
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 Proofs Without Words  Cut the Knot!, Alexander Bogomolny
Martin Gardner wrote, "There is no more effective aid in understanding certain algebraic identities than a good diagram. One should, of course, know how to manipulate algebraic symbols to obtain proofs, but in many cases a dull proof can be supplemented
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 Proof: The Sum of Prime Twins is Divisible by 12  Mathematics Dept., College of Marin
Prime twins are prime numbers that are two numbers apart. For example 41 and 43 are prime twins. Can you PROVE that the sum of prime twins is divisible by 12?
(This proof doesn't work for the prime twins 3 and 5.)
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 Public Domain Materials  Mike Jones
A collection of public domain instructional and expository materials from a USborn math teacher who teaches in China. Microsoft Word and PDF downloads include a monthly circular consisting of short problems, "The BowandArrow Problem," and "Twinkle
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 Punctured Polyhedra  Ivars Peterson (MathTrek)
A tetrahedron has four triangular faces, four vertices, and six edges. When a vertex of one tetrahedron pierces the face of a second tetrahedron it forms a new, more complicated polyhedron: one triangular face has a triangular "hole" where the face was
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 PuraMate
Ejercicios e soluciones de ecuaciones de primer grado, ecuaciones de segundo grado, algebra de Baldor, polinomios, producto y cociente notable, binomios, trinomios, desigualdades, y inecuaciones. Un blog empezó en octubre, 2014, tiene entradas
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 Pure Maths, Impure Thoughts  David A. Santos, Community College of Philadelphia
Includes lecture notes in elementary algebra, linear algebra, number
theory, probability, a problem seminar, plus review material in
precalculus and multivariable calculus. Selections available en castellano.
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 Purplemath  Your Algebra Resource  Elizabeth Stapel
Algebra modules provide lessons, practical tips, hints, worked examples, and point out common mistakes in basic triangle length (trigonometry) values, calculators (what model to buy), canceling units, domain and range, exponents, factoring quadratics,
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 Putnam Competition  Patrick J. Fitzsimmons
Postscript, Adobe Acrobat, and dvi downloads of problem sets from the William Lowell Putnam Mathematical Competition dating back to 1980. With links to solutions hosted by others, and information on participation.
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 Putnam Exams  Dave Rusin
Solution sets and comments compiled from postings on the sci.math newsgroup. Online resources and citations for exams dating back to 1987.
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 Put the Heart into Mathematics: Cardiac Output, Rates of Change and Accumulation (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. This activity explores the measurement of the amount of blood being pumped by a heart. The goal of this iMath investigation is a rich exploration of concentrations (mixture problems), rates of change
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 PuzzleBeast  James W. Stephens
A collection of computergenerated puzzles, some illustrated with Java applets, some with solutions included: The Fried Okra Perplexity, A Dozen Irritating Sliding Block Puzzles, The Bulbous Blob Puzzle, Meandering Monk Maze, The Kung Fu Packing Crate
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 Puzzle Choice
A wide choice of puzzles and games for all ages, including crosswords, wordsearches, brainteasers, number puzzles (a calculator is provided), logics, teacher resources and other online games, including mazes.
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 Puzzle Fun  Rodolfo Kurchan
An online newsletter edited by Rodolfo Kurchan (Buenos Aires  Argentina) about polyominoes and other puzzles. Back issues are on the Web.
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 Puzzlemaker  Discovery Education
A puzzle generation tool for teachers, students and parents. Create and print customized puzzles, including math squares and number blocks, online, or buy a CD with editing tools and other extras.
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 Puzzle of the Week  Ralph Grove
A small archive of math and word puzzles having to do with patterns, permutations, and probability, with solutions, from a professor of computer science at Indiana University of Pennsylvania.
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 Puzzle Page  The Black Stump Ltd.
More than 150 links to puzzle sites on the Web. A new site is added each week.
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 Puzzler  Franklin Institute Online
Puzzles from the inQuiry Almanack Puzzle Archive: e.g. Cryptograms, January, 1998. Coded messages hide famous quotations. A clue is offered to begin breaking the code, and an answer key is provided. One puzzle a month from March of 1995 through July of
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 Puzzlers  Bryan Clair, University of Chicago
A collection of Clair's favorite puzzles (no discussion or answers are provided): The Nine Dots; Weighing Coins; The Dollar Hotel, Planning an Orchard; The Math Department; Tea and Cream; Bugs on a Square; River Crossing; More Crawling Bugs; The Unexpected
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 Puzzles
A blog of math puzzles. Post your answers in the comments sections.
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Puzzles/Oneplayer Games  Jürg Nievergelt
Rubik's Cube and its variants. The 3*3*3* cube; Rubik's Revenge (4*4*4 cube); Pyramix (tetrahedron); Rubik's Clock; Rubik's Magic. Also Cryptequations, polyominoes, and links to a list of similar puzzles.
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 Puzzles, & Riddles  The Contest Center  Frank Rubin
Hundreds of puzzles and mathematical problems ranging from kindergarten through postdoctoral levels. For the easier puzzles, answers are provided on the site; names of those who submit correct solutions to harder problems are posted. See also Puzzles
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 The Puzzle TOAD  Tom Bohman, Oleg Pikhurko, Alan Frieze, and Danny Sleator, School of Computer Science, Carnegie Mellon University
Send the authors your solutions to their challenging graph theory, number theory, geometry, discrete mathematics, logic, and other puzzles. Revisit periodically to see the latest question, and download PDFs of solutions of past problems.
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 Puzzle Toons, The Citizen Scientist  Brian Mansfield
A comic strip devoted to puzzles, mind benders, and brain teasers. The subject matter of the puzzles ranges from mechanical devices and geometry to astrodynamics, chess, and billiards. Read back issues of Mansfield's column, dating to its inception in
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 Puzzle University  Amy Galitzer
A nonaccredited "university," created solely for fun. Everything is free to play and take part in. Register, pass a simple test, and advance from freshman to sophomore to junior to senior to grad student this way. The puzzles get harder as you progress.
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 PuzzleWise  Test Best International, Inc.
A supplemental program consisting of math crossword puzzles, each clue of which links directly to state and national gradelevel math skill expectations. The site offers samples, testimonials, prices, and a free newsletter.
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 Puzzle World  John Rausch
A searchable site with information and a discussion group (Puzzle Talk) about handcrafted mechanical puzzles. Most of the puzzles presented here are not the massproduced variety found in stores, but limited production puzzles produced by craftsmen (often
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 Puzzle Zapper  Alexandre Owen Muñiz
Original mathematical puzzles, some available in lasercut acrylic for sale: polyomino common superforms, pentomino coloring problems, miscellaneous polyomino explorations, flexible polyforms, square grid puzzles, visualizing sequences of numbers, Lissajous
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 Puzzling Lines  Ivars Peterson (MathTrek)
Sol LeWitt has often featured geometric and combinatorial themes in his sculptures, paintings, and drawings. In 1973 he composed "Straight Lines in Four Directions and All Their Possible Combinations," a grid of 15 squares, each inscribed with one or
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 Puzzling Primes  Isaac Reed
To fully comprehend our number system, mathematicians need to understand the properties of the prime numbers  but even finding them isn't so easy.
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 The Puzzling World of Barry R. Clarke  Barry R. Clarke
Brain teasers from Clarke's column in The Daily Telegraph (UK) and from his various puzzle books: liar problems, logic teasers, number conundrums, matchstick puzzles, lateral mindbenders, and more. With links to other puzzles sites and an article on
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 Pyramids and Algebra  David C. Miller
Four questions that explore the problem of creating a pyramid from a set of dominoes, dealing with the concepts of arithmetic series; derivation of square roots including a graphical method; scientific notation; exponential notation; quadratic equations;
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 Pythagoras' Haven  Jim Morey
Step through a geometrical Java applet proof of the Pythagoraean theorem  the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
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 Pythagorean Puzzle (SMILE)  Earl Zwicker, Illinois Institute of Technology
A lesson that models the phenomenological approach to enable students to prove the Pythagorean Theorem on their own using puzzle pieces and working together.
From the Geometry and Measurement and Algebra and Trigonometry sections of a collection of almost
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 Pythagorean Theorem (Manipula Math)  International Education Software (IES)
Java applets for experimenting with shifting, rotating, and moving pieces of quadrilaterals to prove the Pythagorean Theorem.
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