Spider Walk (probability)

Spider Walk (probability)

  Imagine a spider going for a morning walk around the web. At each intersection he rolls a dice (carefully so it doesn’t stick) to determine the next direction. If the dice point him towards an intersection already visited – he rolls again. How...
Ninja Bed Bugs (multiplication)

Ninja Bed Bugs (multiplication)

Smothering Ninja Bed Bugs is important to stop itchy nocturnal sleeps on you King Size bed.   Here is an infestation of your king size bed. It looks nasty. Your job is to smother all those Ninja Bed Bugs by covering them with rectangles. The Ninja Bed Bug Score...
Graphene Trampoline (logic & probability)

Graphene Trampoline (logic & probability)

  Richard Smalley was awarded the Nobel prize in Chemistry for the discovery that he could make a very very small soccer ball out of Carbon atoms. In 2005 he suddenly began to shrink. He ended up so small that he could bounce on the little trampolines that make...
Siteswap (juggling number patterns)

Siteswap (juggling number patterns)

This three-ball juggling is common, but Juggling can use a lot of complex patterns. How should we organize these patterns so we could talk about them? It was not until the 1980s that mathematicians and jugglers started to solve this problem. The result was SITESWAP....
Mean, Median, Mode (unique integer challenge)

Mean, Median, Mode (unique integer challenge)

{0,0,0,1,1,1,2,2,2,2,9,9,10} In this mini-competition your students try to find a set of non-negative integers for which the mean, median and mode are integral. There are six separate challenges… one for each permutation. The one here is for median < mode...