Pick two rods of different colours. Given an unlimited supply of
rods of each of the two colours, how can we work out what fraction
the shorter rod is of the longer one?
Using only the red and white rods, how many different ways are
there to make up the other colours of rod?
Can you see how to build a harmonic triangle? Can you work out the next two rows?
Make a line of green and a line of yellow rods so that the lines
differ in length by one (a white rod)
Imagine a strip with a mark somewhere along it. Fold it in the
middle so that the bottom reaches back to the top. Stetch it out to
match the original length. Now where's the mark?
Data is sent in chunks of two different sizes - a yellow chunk has
5 characters and a blue chunk has 9 characters. A data slot of size
31 cannot be exactly filled with a combination of yellow and. . . .
A partial solution is shown here. Can you find the other arrangements?
Go to last month's problems to see more solutions.
An environment which simulates working with Cuisenaire rods.
A train building game for 2 players.