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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 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?
If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?
A barrel has various holes in it. The fist hole empties the barrel in three days...
Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
Determine the different values of x, when a certain function hits a minimum.
Now there are 100 deers [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.