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Problems from Another Time

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

A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
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?
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
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?
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.

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