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Problems from Another Time

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

Given the frustum of a circular cone with height h.
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
An official asks a woman why she has so many bowls to wash. The woman explains that she had dinner guests who ate meat, rice, and soup. Judging by the number of bowls, how many guests were there?
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
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?
Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?

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