background preloader

Qbyte: Nick's Mathematical Puzzles

Qbyte: Nick's Mathematical Puzzles
Welcome to my selection of mathematical puzzles. What's new? See puzzle 160. The math puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution. They range over geometry, probability, number theory, algebra, calculus, trigonometry, and logic. Explaining how an answer is arrived at is more important than the answer itself. Each puzzle is assigned a level of difficulty of between one and four stars, with four being the most difficult. The source for each problem is given at the bottom of the solution page. I welcome feedback of any kind. Some brief biographical information. Nick Back to top Related:  Mathematics

Transum: Maths Puzzles There is a great amount of satisfaction that can be obtained from solving a mathematical puzzle. There is a range of puzzles on this page, all with a mathematical connection, that are just waiting to be solved. You can earn Transum Trophies for the puzzles you solve. How Many Squares? Do you have any comments? The Math Forum Home Page The Math Forum has a rich history as an online hub for the mathematics education community. A debt of gratitude is owed to the dedicated staff who created and maintained the top math education content and community forums that made up the Math Forum since its inception. NCTM will continue to make many of the most popular parts of the Math Forum content accessible to the mathematics education community. Problems of the Week The Math Forum created Problems of the Week as an integrated program that features problems by standard and additional teacher support materials. Continue Your Math Education Conversations in MyNCTM! MyNCTM is an online community where NCTM members can ask questions, network and connect with each other, start and join discussions, find and upload resources, and interact with education experts. For many years mathematicians, scientists, engineers and others interested in mathematics have played "year games" via email and in newsgroups. Year Game for 2018 Browse the Archives

Mysterious number 6174 March 2006 Anyone can uncover the mystery The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special. Kaprekar's operation In 1949 the mathematician D. It is a simple operation, but Kaprekar discovered it led to a surprising result. When we reach 6174 the operation repeats itself, returning 6174 every time. We reached 6174 again! A very mysterious number... When we started with 2005 the process reached 6174 in seven steps, and for 1789 in three steps. Only 6174? The digits of any four digit number can be arranged into a maximum number by putting the digits in descending order, and a minimum number by putting them in ascending order. 9 ≥ a ≥ b ≥ c ≥ d ≥ 0 and a, b, c, d are not all the same digit, the maximum number is abcd and the minimum is dcba. which gives the relations for those numbers where a>b>c>d. For three digit numbers the same phenomenon occurs. and

Cut-the-knot: Interactive Mathematics Miscellany and Puzzles Women Mathematicians, Sponsored by Agnes Scott College Welcome to the web site for biographies of women in mathematics. These pages are part of an on-going project at Agnes Scott College in Atlanta, Georgia, to illustrate the numerous achievements of women in the field of mathematics. Here you can find biographical essays or comments on the women mathematicians profiled on this site, as well as additional resources about women in mathematics. Each time this page is reloaded, a randomly selected photo is displayed to the left (if Javascript is enabled). Click on the image to go to the profile of that woman. We also welcome contributions of biographical information or essays from those outside Agnes Scott College. Did you know? The AWM Research Symposium 2015 will be held at the University of Maryland, College Park, April 11-12, 2015. AWM Biographies Contest Agnes Scott College, founded in 1889, is a private liberal arts college for women in Decatur, a part of Atlanta, Georgia. Looking for college scholarships for women?

100 Incredible Open Lectures for Math Geeks While many math geeks out there may have been teased for their love of numbers, it’s math that makes the world go round, defining everything from the economy to how the universe itself operates. You can indulge your love of mathematics in these great lectures and lecture series, which are a great diversion for those diligently working toward traditional or online master’s degree programs in mathematics. Some are meant to review the basics and others will keep you on the cutting edge of what renowned researchers are doing in the field, but all will help you expand your knowledge and spend a few hours enjoying a topic you love. Basic Math These lectures cover some pretty basic mathematical issues that can be a great review or help younger math lovers get a handle on a subject. Such lectures are an excellent resource for students who are completing online degrees in applied mathematics with the intention of entering careers as mathematics educators in middle schools and high schools. Algebra

BrainBashers : Puzzles and Brain Teasers Fibonacci Number The Fibonacci numbers are the sequence of numbers defined by the linear recurrence equation with . The Fibonacci numbers for , 2, ... are 1, 1, 2, 3, 5, 8, 13, 21, ... Fibonacci numbers can be viewed as a particular case of the Fibonacci polynomials Fibonacci numbers are implemented in the Wolfram Language as Fibonacci[n]. The Fibonacci numbers are also a Lucas sequence , and are companions to the Lucas numbers (which satisfy the same recurrence equation). The above cartoon (Amend 2005) shows an unconventional sports application of the Fibonacci numbers (left two panels). A scrambled version 13, 3, 2, 21, 1, 1, 8, 5 (OEIS A117540) of the first eight Fibonacci numbers appear as one of the clues left by murdered museum curator Jacque Saunière in D. The plot above shows the first 511 terms of the Fibonacci sequence represented in binary, revealing an interesting pattern of hollow and filled triangles (Pegg 2003). ends in zeros. The Fibonacci numbers give the number of pairs of rabbits is given by .

7Puzzle: World's Top Daily Number Puzzle Website Find the Factors | A Multiplication Based Logic Puzzle

Related: