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Problems from Another Time

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

Determine by using algebra the number of degrees in the angle A where: cos A = tan A
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
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?
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
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?
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
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 person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...

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