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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 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...
Thirty flasks-10 full, 10 half-empty, and 10 completely empty- are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men. How many ways can a committee of 4 men be composed by choosing one man from each company?
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?
Given a rectangle, find the line through one vertex of minimum length that passes through the extensions of the two opposite sides.
A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.
There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.
A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?
Three men wish to buy a horse but none have a sufficient amount of money for the purchase; to do so they must borrow from each other. How much money does each man have and what is the price of the horse?

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