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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 castle has n rooms each of which has 7 samurai in it.
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.
Find two number with sum 20 and when squared their sum is 208.
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.
In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
There is a four sided field.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
In a given square, inscribe 4 equal circles so that...
In one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.

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