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Problems from Another Time

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

There is a mound of earth in the shape of a frustum of a cone.
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
Suppose that the propability of success in an experiment is 1/10. How many trials of the experiment are necessary to insure even odds on it happening at least once?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?
Two merchants, A and B, loaded a ship with 500 hhds (hogshead) of rum; A loaded 350 hhds, and B the rest; in a storm the seamen were obliged to throw overboard 100 hhds; how much must each sustain of the loss?
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
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?
What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers at the same time...
A certain merchant increases the value of his estate by 1/3...

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