Here is a site that updates puzzles regulalry:
 mathschallenge.net
  • Irrationality Of E 17/10/2010 01:00

    Prove that e is irrational.

    Problem ID: 377 (17 Oct 2010) / Difficulty: 4 star
  • Rectangle Construction 17/10/2010 01:00

    Find the connection between the constructed length and the original rectangle.

    Problem ID: 376 (17 Oct 2010) / Difficulty: 2 star
  • Inscribed Circle In Isosceles Triangle 16/08/2010 01:00

    Find the radius of the circle inscribed inside the isosceles triangle.

    Problem ID: 375 (16 Aug 2010) / Difficulty: 2 star
  • Multiplying Magic Square 16/08/2010 01:00

    Show how the values 1, 2, 4, 8, 16, 32, 64, 128, and 256 can be placed in a 3x3 square grid so that the product of each row, column, and diagonal gives the same value.

    Problem ID: 374 (16 Aug 2010) / Difficulty: 3 star
  • Polynomial Roots 07/08/2010 01:00

    Prove that the roots of the polynomial, xn + cn-1xn-1 + ... + c2x2 + c1x + c0 = 0, are irrational or integer.

    Problem ID: 373 (07 Aug 2010) / Difficulty: 3 star
  • Hops And Slides But Never Square 07/08/2010 01:00

    Prove that the minimum number of moves to completely reverse the positions of the coloured counters can never be square.

    Problem ID: 372 (07 Aug 2010) / Difficulty: 3 star
  • Irrationality Of Pi 24/12/2009

    Prove that π is irrational.

    Problem ID: 371 (24 Dec 2009) / Difficulty: 4 star
  • Square And Round Plugs 24/12/2009

    Which fits better... a round plug in a square hole or a square plug in a round hole?

    Problem ID: 370 (24 Dec 2009) / Difficulty: 2 star
  • Algebraic Cosine 30/11/2009

    Prove that cos(x) is algebraic if x is a rational multiple of Pi.

    Problem ID: 369 (30 Nov 2009) / Difficulty: 4 star
  • Inscribed Square 30/11/2009

    Find the side length of the square inscribed inside the right angled triangle.

    Problem ID: 368 (30 Nov 2009) / Difficulty: 2 star
  • Infinite Circles 15/11/2009

    What fraction of the large red circle do the infinite set of smaller circles represent?

    Problem ID: 367 (15 Nov 2009) / Difficulty: 4 star
  • Irrational Roots 01/12/1999 00:00
    You're used to working with quadratics with integer roots, but what about when the roots are irrational?
  • Nested Surds 01/12/1999 00:00
    Can you find values that make these surd statements true?
  • Irrational Constructions 01/12/1999 00:00
    What questions does the spiral construction prompt you to ask?
  • The Quintessential Proof 01/03/2015 00:00
    In this resource, the aim is to understand a fundamental proof of Pythagoras's Theorem.
  • Finding Circles 01/03/2015 00:00
    Can you find the centre and equation of a circle given a number of points on the circle? When is it possible and when is it not?
  • The Circle of Apollonius... Coordinate Edition 01/03/2015 00:00
    Can you sketch and then find an equation for the locus of a point based on its distance from two fixed points?
  • Can You Find... Trigonometry Edition 01/04/2015 00:00
    What graphs can you make by transforming sine, cosine and tangent graphs?
  • Equation or Identity (1) 01/04/2015 00:00
    Which of these equations concerning the angles of triangles are always true?
  • Equation or Identity (2) 01/04/2015 00:00
    Here are some more triangle equations. Which are always true?
  • Have a Sine 01/04/2015 00:00
    There's much more to trigonometry than sin, cos and tan...
  • Two-way Functions 01/11/2014 00:00
    This gives you an opportunity to explore roots and asymptotes of functions, both by identifying properties that functions have in common and also by trying to find functions that have particular properties. You may like to use the list of functions in the Hint, which includes enough functions to complete the table plus some extras.You might like to work on this problem in a pair or small group, or to compare your table to someone else's to see where you have used the same functions and where not.
  • Which Quadratic? 01/09/2014 00:00
    In this activity you will need to work in a group to connect different representations of quadratics.
  • Absolutely! 01/11/2014 00:00
    What can you say about this graph? A number of questions have been suggested to help you look at the graph in different ways. Use these to help you make sense of this and similar graphs.
  • Picture the Process I 01/11/2014 00:00
    How does the temperature of a cup of tea behave over time? What is the radius of a spherical balloon as it is inflated? What is the distance fallen by a parachutist after jumping out of a plane? After sketching graphs for these and other real-world processes, you are offered a selection of equations to match to these graphs and processes.
  • Giants Poster 01/09/2014 00:00
 Scientific American - Math
  • 25 Terrific Science(y) Books 20/05/2015 16:21
    John Horgan lists 25 of his favorite science(y) books, from Freud's The Interpretation of Dreams to Joyce's Ulysses

    -- Read more on ScientificAmerican.com
  • Moore's Law Keeps Going, Defying Expectations 19/05/2015 22:00
    It’s a mystery why Gordon Moore’s “law,” which forecasts processor power will double every two years, still holds true a half century later

    -- Read more on ScientificAmerican.com
  • Grapefruit Math 19/05/2015 13:00
    Spherical geometry: it's part of this complete breakfast.

    -- Read more on ScientificAmerican.com
  • The Equation for a Happy Mother's Day 06/05/2015 14:00
    What's the most important holiday in May? Obviously it's Mother's Day. But did you know there's an equation that can help you celebrate Mom? Keep on reading to find out what it is!

    -- Read more on ScientificAmerican.com
  • Star Wars Day: May the Fourth Be with You 02/05/2015 17:57
    16-year-old Paul Vermeesch recreate the impossible structures in M.C. Escher's Relativity--but with a Star Wars theme--in LEGO.

    -- Read more on ScientificAmerican.com
  • 5 Instagram Tips for Science Artists 29/04/2015 18:30
    I’ve been on Instagram for a long time, with a private account to share family photos with friends. Last year, I decided to start up a second account, @FlyingTrilobite, to share my art in...

    -- Read more on ScientificAmerican.com
  • The Truth Behind the Math: The Surprising Path of a Theorem [Q&A] 27/04/2015 20:00
    Mathematician Cédric Villani shares the actual conversations, emails and even dreams that led to his Fields Medal-winning proof

    -- Read more on ScientificAmerican.com
  • Book Review: Birth of a Theorem 24/04/2015 20:00
    Books and recommendations from Scientific American

    -- Read more on ScientificAmerican.com
  • In Praise of Fractals and Poetry 20/04/2015 18:00
    This year for Math Poetry month, I read Proportions of the Heart: Poems that Play with Mathematics, a collection of poems by Emily Grosholz.

    -- Read more on ScientificAmerican.com
  • Scientists Perturbed by Loss of Stat Tools to Sift Research Fudge from Fact 16/04/2015 15:30
    The journal Basic and Applied Social Psychology recently banned the use of p-values and other statistical methods to quantify uncertainty from significance in research results

    -- Read more on ScientificAmerican.com
  • Boots or Heels: My Wardrobe Paradox as a Woman in STEM 14/04/2015 14:17
    A couple of weeks ago a wonderful hashtag was making its way around Twitter, with female scientists all over the world sharing photos of their feet to show a day #InMyShoes.

    -- Read more on ScientificAmerican.com
  • Was I Wrong about “The End of Science”? 13/04/2015 15:29
    One of the coolest—and most stressful–moments of my career took place November 7, 1996, when I was a staff writer for Scientific American.

    -- Read more on ScientificAmerican.com
  • ScienceDebate Revs Up for 2016 Presidential Election 13/04/2015 14:32
    This year, I've been very fortunate to be a part of the inaugural class of the Presidential Leadership Scholars (PLS) program, which brings together 60 leaders from around the country to work on...

    -- Read more on ScientificAmerican.com
  • Mathematicians Chase Moonshine’s Shadow 07/04/2015 14:30
    Researchers are on the trail of a mysterious connection between number theory, algebra and string theory

    -- Read more on ScientificAmerican.com
  • Against April Fools' in Science Journalism 01/04/2015 15:10
    My lowest point as a science journalist came before I even knew what a science journalist was. I was a young punk in an eighth-grade science class at Northwood Middle School in Greenville, South...

    -- Read more on ScientificAmerican.com
  • The Cantor Function: Angel or Devil? 31/03/2015 13:00
    When you're looking at it, it just stays there, constant and still. But if you turn your back for just an instant at a point in the Cantor set, the function grows impossibly quickly.

    -- Read more on ScientificAmerican.com
  • A Few of My Favorite Spaces: The Cantor Set 26/03/2015 12:30
    Last month, I wrote about the -Base, a website that serves a similar function to the book Counterexamples in Topology. I'm teaching a topology class this semester, and it's been fun to revisit some...

    -- Read more on ScientificAmerican.com
  • The Science of TED 2015 23/03/2015 14:00
    What I love about the annual TED gathering in Vancouver is the way science coexists along with art, social justice, popular song and the rest of TED's eclectic mix.

    -- Read more on ScientificAmerican.com
  • What’s so Great about Continued Fractions? 17/03/2015 12:30
    The more I learn about continued fractions, the more enamored I am with them. Last week, when I wrote about how much better continued fractions are than the arbitrary decimal digits we usually use to...

    -- Read more on ScientificAmerican.com
  • The Best Pi Day Pies and Celebrations 16/03/2015 20:45
    Reader-submitted photos of pi pies, pizzas and parties to commemorate the Pi Day of the Century

    -- Read more on ScientificAmerican.com
  • Irrational Exuberance: How Will You Celebrate the Pi Day of the Century? 14/03/2015 13:26
    Send us pix of your pies, pizzas and parties in honor of math (and circular baked goods)

    -- Read more on ScientificAmerican.com
  • The Pi Day of the Century 13/03/2015 13:15
    The first five digits of pi, 3.1415, is being celebrated on March 14, 2015, with a day for math fun, circular logic and, of course, pie eating

    -- Read more on ScientificAmerican.com
  • American Pi: Why the Day Belongs to the U.S. (and Belize) 12/03/2015 13:54
    Pi may be a universal constant, but only two countries can natively celebrate Pi Day: the U.S. and Belize. That's because they are the only ones (if Wikipedia is correct) to shorthand their date...

    -- Read more on ScientificAmerican.com
  • Don’t Recite Digits to Celebrate Pi. Recite Its Continued Fraction Instead. 11/03/2015 12:30
    The digits of pi reciting contest is an all-too-common Pi Day event. And as this year is a once-in-a-century confluence of month/day/year with the first few decimal digits of pi, we might be in for...

    -- Read more on ScientificAmerican.com
  • A Glimpse into How Mathematicians Party [Excerpt] 06/03/2015 15:00
    Michael Harris’s book provides a colorful insider’s investigation of what pure mathematicians do and why they do it

    -- Read more on ScientificAmerican.com