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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 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.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
In Archimedes' Book of Lemmas (ca 250), he introduces a figure that, due to its shape, has historically been known as "the shoemaker's knife" or arbelos.
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.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.

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