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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 guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
A fox, a raccoon, and a hound pass through customs and together pay 111 coins.
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
Curve sketching, tangent lines, and optimization, explored via interactive applets
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

A vessel is anchored in 3 fathoms of water and the cable passes over a sheave in the bowspirt which is 6 ft above the water.
A certain man says that he can weigh any amount from 1 to 40 pounds using only 4 weights. What size must they be?

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