- 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
- Consecutive Numbers 01/02/2011 00:00An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
- Times Tables Shifts 01/02/2011 00:00In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
- Domino Sets 01/05/2013 00:00How do you know if your set of dominoes is complete?
- Mystic Rose 01/02/2011 00:00Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
- Weights 01/02/2011 00:00Different combinations of the weights available allow you to make different totals. Which totals can you make?
- Strange Bank Account 01/04/2013 00:00Imagine a very strange bank account where you are only allowed to do two things...
- Strange Bank Account (part 2) 01/05/2013 00:00Investigate different ways of making £5 at Charlie's bank.
- The Fastest Cyclist 01/06/2012 00:00Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
- Factorising with Multilink 01/05/2012 00:00Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
- Vector Journeys 01/02/2011 00:00Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
- Vector Walk 01/02/2011 00:00Starting with two basic vector steps, which destinations can you reach on a vector walk?
- Picture This! 01/11/2012 00:00
- Felix's Parachute Jump 01/10/2012 00:00On October 14th 2012, Felix Baumgartner made a world record breaking parachute jump. Can you figure out the numbers behind his jump?
- Sorted 01/10/2012 00:00How can you quickly sort a suit of cards in order from Ace to King?
- Cross with the Scalar Product 01/02/2011 00:00Explore the meaning of the scalar and vector cross products and see how the two are related.
- Statistical Science: Melt-in-Your-Mouth Math
Key concepts [More]
- Does Infinity Really Exist? [Live Stream, Friday 8-9:30 P.M. ET]
The infinite! No other question has ever moved so profoundly the spirit of man,” said David Hilbert, one of the most influential mathematicians of the 19th century. A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. Thinkers clash over questions such as: Does infinity exist? Can it be found in the physical world? What types of infinity are there? Through an interdisciplinary discussion with some of the world’s leading thinkers, this program will delve into the many facets of infinity and address some of the deepest questions and controversies that mention of the infinite continues to inspire.[More]
- Recommended: Probably Approximately Correct
Probably Approximately Correct: Nature's Algorithms for Learning and Prospering in a Complex World [More]
- Shocks to the Brain Improve Mathematical Abilities
From Nature magazine[More]
- First Proof That Infinitely Many Prime Numbers Come in Pairs
From Nature magazine[More]
- The Mathematics of Juggling [Video]
- Physics Gets Frothy as Mathematicians Dissect Mister Bubble [Video]
Few of us have not paused at one time or another to marvel at the beauty of a soap bubble. The iridescent, evanescent orbs, which can persist for minutes before vanishing in an instant, have captivated bubble-blowing children and pensive bathtub recliners alike.[More]
- Elephants Better Beat the Heat--or Else
When summer hits, I dread jogging outside. But a study finds that elephants can be in true danger in the heat.[More]
- Follow That Bike!
- Women Are Earning Greater Share of STEM Degrees, but Doctorates Remain Gender-Skewed
In 2008, for the first time, U.S. women earned more doctorates in biology than men did. But advanced degrees in other core disciplines of science, technology, engineering and mathematics (STEM) remain stubbornly gender-imbalanced. In chemistry, for instance, women now garner 49 percent of bachelor's degrees but only 39 percent of Ph.D.s. What dissuades so many from further study?[More]
- Obama s 2014 Science Budget Proposal Revitalizes STEM Education, Reduces Environmental Conservation
Among the winners in Pres. Barack Obama’s 2014 federal budget: the U.S. Geological Survey, Department of Education and National Science Foundation (NSF). The losers include agribusiness and the Environmental Protection Agency. Obama’s plan, announced April 11, is less a vision for a progressive science agenda than a reflection of political reality--specifically, the fact that he still must work with a conservative Congress. The budget gives a boost to science education and research, long-standing administration priorities. In a nod to fiscal conservatives it trims administrative costs and slashes subsidies for agribusiness. On the matter of fossil fuels, however, it largely maintains the status quo, preserving funding for drilling and fracking. Here’s a quick list of winners, losers and how the new White House budget would affect them.[More]
- Physicists Model Mosh Moves
A heavy metal concert might be a tough place to think about physics, especially in the mosh pit, where some audience members dance violently. But the mosh pit itself is actually an interesting place to find physics in action. And not just force equals mass times acceleration.[More]
- Biologists Home in on Tiger Stripes and Turing Patterns [Slide Show]
- An Arbitrary Number of Years Since Mathematician Paul Erd s s Birth
I take issue with the celebration of Paul Erd s’ 100 th birthday.[More]
- Mathematical Impressions: An Exploration of Symmetric Structures [Video]
- Strength in Numbers: Mathematicians Unite to Tackle Climate Change and Other Planetary Problems
What do polar ice caps, guinea worm disease and wildfires have in common? All are being modeled with cutting-edge mathematics. Mathematical societies and institutes around the world are participating in " Mathematics of Planet Earth ," or MPE, this year. They aim to study the math that underpins geologic and biological processes on our planet as well as encourage more math researchers to tackle these problems. Events are planned for the year 2013, but the organizers hope that the initiative will have lasting effects.[More]
- Belgian Mathematician Wins Abel Prize for Shaping Algebraic Geometry
It has been four decades since Belgian mathematician Pierre Deligne completed the work for which he became celebrated, but that fertile contribution to number theory has now earned him the Abel Prize, one of the most prestigious awards in mathematics.[More]
- A Quantum Leap for Basketball "Bracketology"
This story was originally published by Inside Science News Service .[More]
- The Existence of Nothing: A Debate [Live Stream]
- Mathematicians Solve Problem of Folding a Pop-up Tent
Camping enthusiasts and aspiring modern sculptors take heed: researchers have achieved a breakthrough in understanding and controlling overcurvature, which is found in such disparate settings as pop-up tents, DNA plasmids and curved origami. Overcurvature occurs when a ring is too curved to lie flat in a plane the way a normal circle does. For example, if you detached a segment of a Slinky and connected its ends to make a closed loop, you would have a hard time getting the whole thing to lie flat on the floor. The intrinsic curvature of the Slinky would cause the ring to buckle and assume a three-dimensional saddle shape.[More]