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Problems from Another Time

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

In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?
Determine the different values of x, when a certain function hits a minimum.
Find the area of the elliptical segment cut off parallel to the shorter axis;
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
A number of 3 digits in base 7 has the same three digits...
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Now there is a wall 5 feet thick and two rats tunnel from opposite sides.
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?

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