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Problems from Another Time

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

Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?
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 speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations 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?
A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
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?