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Problems from Another Time

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

The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.
A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.
A man is walking across a bridge, when a boat passes under the bridge.How rapidly are the boat and the pedestrian separating after the boat passes under the bridge?
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
One person possesses 7 asavas horses, another 9 hayas horses, and another 9 camels. Each gives two animals away, one to each of the others.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
There are two numbers whose sum equals the difference of their squares.
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
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.
The dimensions of a rectangular box in inches are expressed by three consecutive numbers. The surface of the box is 292 square inches. Find the dimensions.

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