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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

If 80 dollars worth of provisions will serve 20 men for 25 days, what number of men will the same amount of provisions serve for 10 days?
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
Two persons sat down to play for a certain sum of money; and agree that the first who gets three games shall be the winner. After a few games they resolve to divide the stakes. How much should each person receive?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...
If you are h feet tall and walk all the way around the Earth, keeping to the same circumference, how much farther has your head gone than your feet when you complete the journey?

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