1. Snail on a Wall
A snail creeps 3 ft. up a wall during the daytime. After all the labor it does throughout the day, it stops to rest a while... but falls asleep!! The next morning it wakes up and discovers that it has slipped down 1 ft while sleeping.
If this happens every day, how many days will the snail take to reach the top of a wall 15 ft in height?
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2. A farmer’s wife with a carving knife has a cube of cheese 3 inches on a side. She wishes to slice cube into 27 small cubes 1 inch on a side. How can do this with six cuts?. Why isn't it possible to do it in less cuts even when trying to rearrange the pieces after each cut?
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