Using 1'' x 2'' dominoes, there's one way to tile a 1'' x 2'' area, 2 ways to tile a 2'' x 2'' area, and 3 ways to tile a 3'' x 2'' area.
How many ways are there to tile a 4'' x 2'' area?
Nine plots of land are arranged in a circle. Each plot of land has a flower planted on it. A farmer, starting from one of the plots decided to clear all the plots, but in a peculiar way:
How many times would the farmer have circled around all 9 plots of land before he would have cleared all the plots of land?
Bombus the BumbleBee wants to get to the cell containing honey.
Each time, he can only take a step to a neighboring cell, that moves him to the right.
How many ways does he have of reaching the honey in the last cell?
The image above shows a construction of fractal by joining smaller and smaller squares to each side of one single square.
As this recursion continues indefinitely, what does the total area of the figure tend to?
How many unit squares are there in the next square in this spiraling sequence?