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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 general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
Problems from a 15th century French manuscript, including one with negative solutions
Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
A farmer sold a team of horses for $440, but did not receive his pay for them until 1 yr, 8 mo after the sale. He had at the same time another offer of $410 for them. Did he gain or lose by the sale and by how much, money being worth 6%/yr?
There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?
What number which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.
A father wills his estate valued at $40, 000 to his three children. Before the settlement one of the children dies. What should the other two receive?
Of the two water reeds, the one grows 3 feet and the other 1 foot on the first day. The growth of the first becomes every day half of that of the preceding day, while the other grows twice as much as on the day before.
A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?

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