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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 bridge is built across a river in 6 months by 45 men. It is washed away by the current. Required the number of workmen sufficient to build another of twice as much worth in 4 months.
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
In a given square, inscribe 4 equal circles so that...
To find three quantities x.y, and z...
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.

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