September 29

Problem 1: Cyclists and Bikes

One person rides a bicycle, two persons ride a tandem. 

Six cyclists ride on 5 bikes. How many of them are on usual bicycles? how many are riding tandems? 

What if one has 7 cyclists on 5 bikes? 8 on 4?

Problem 2: Robots in Urbana

One needs to program a robot to go from one place to another. Robot can go one block on its own, if you tell the direction. A program to go from, say, 5-star to yellow triangle is:

North-West-North

Create a plan for a robot going from the 5-star to each of the colored polygons.
Are there other ways to go from 5-star to yellow triangle (do not waste your robot time; do not make it go South or East)? find all of them! Do they all have the same number of steps?

Problem 3: latin squares

Fill the latin squares (the rule is the letters in each column and each row are different - A, B, C if you have 3-by-3 square, A, B, C, D for 4-by-4 square and so on)...

Game 4: baby set game

Game 5: overhang

Game 6: labyrinth with weasel balls