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Problems from Another Time

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

Three equal circumferences with radii 6" are tangent to each other. Compute the area enclosed between them.
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
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.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...
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.

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