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Problems from Another Time

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

X, Y and Z hired a pasture for the season for $90.00. Each has a different number of mules and are on the pasture for a different number of days. How much is each to pay?
Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
A horse, halving its speed each day, travels 700 miles in 7 days. How far does it travel each day?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A rifle ball is fired through a three-inch plank, the resistance of which causes an unknown constant retardation of its velocity.
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
There is a regular pentagon. The length of its side is a. Find the area of the pentagon. Generalize your result for a nonagon.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
Two men rent a pasture for 100 liras on the understanding that two cows are to be counted as being equivalent to three sheep. The first puts in 60 cows and 85 sheep; the second 80 cows and 100 sheep. How much should each pay?

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