Cracking ISBN and Credit Card Codes ISBN codes are used on all books published worldwide. It’s a very powerful and useful code, because it has been designed so that if you enter the wrong ISBN code the computer will immediately know – so that you don’t end up with the wrong book. There is lots... Continue Reading →
NASA, Aliens and Binary Codes from the Stars
NASA, Aliens and Binary Codes from the Star The Drake Equation was intended by astronomer Frank Drake to spark a dialogue about the odds of intelligent life on other planets. He was one of the founding members of SETI - the Search for Extra Terrestrial Intelligence - which has spent the past 50 years scanning... Continue Reading →
Cesaro Summation: Does 1 – 1 + 1 – 1 … = 1/2?
http://www.youtube.com/watch?v=PCu_BNNI5x4 What is the sum of the infinite sequence 1, -1, 1, -1, 1.....? This is a really interesting puzzle to study - which fits very well when studying geometric series, proof and the history of maths. The two most intuitive answers are either that it has no sum or that it sums to zero. ... Continue Reading →
Maths Sequence Puzzles IV
There are a lot of good general sequence puzzles on the website Fibonicci. For example find the next term of: 1) 15, 29, 56, 108, 208 2) 13, -21, 34, -55, 89 3) 52, 56, 48, 64, 32 4) 230, 460, 46, 92, 9.2 5) 68, 36, 20, 12, 8 Answers (in white text -... Continue Reading →
Maths Sequence Puzzle 2
This is another interesting maths sequence puzzle: When x = 1, y = 1, when x= 2, y = -1, when x = 3, y = 1, a) if when x = 4, y = -1, what formula gives the nth term? b) if when x = 4, y = 3, what formula gives the... Continue Reading →
Fermat’s Last Theorem
Fermat's Theorem - one of the most famous and long running puzzles in mathematics is a great way to introduce proof, the history of mathematics and also to show how apparent work on an entirely abstract concept can actually drive the development of techniques which have real world applicability. The (much abridged!) story is that... Continue Reading →
Wolf Goat Cabbage Space – A Puzzle solved with 3D Geometry
This is a really interesting take on a very well known puzzle (courtesy of Ian Stewart's Cabinet of Mathematical Curiosities). The puzzle itself is pretty famous: A farmer wants to cross a river and take with him a wolf, a goat, and a cabbage. There is a boat that can fit himself plus either the... Continue Reading →
Maths Sequence Puzzle
This is a really nice puzzle we looked at at the IB HL workshop: When x = 1, y = 1, when x = 2, y = 2, when x = 3, y = 3 but when x = 4, y does not equal 4. Find a sequence which describes these points. There are... Continue Reading →