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Problems from Another Time

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

If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
A four-sided town measures 1100 feet on one side and 1000 feet on the other side, on one edge 600 and the other edge 600.
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
Find a number having remainder 29 when divided by 30 and remainder 3 when divided by 4.
Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...
There is a log of precious wood 18 feet long whose bases are 5 feet and 2.5 feet in circumference. Into what lengths should the log be cut to trisect its volume?

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