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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.
Find two number with sum 20 and when squared their sum is 208.
What is the perpendicular height of a cloud when it's angles of elevation were 35 degrees and 64 degrees as taken by two observers?
How much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.
Given the cats eye as shown. Let the radius of the eye be given by R. What is the area of the pupil?
Three hundred pigs are to be prepared for a feast.
Find the height of a window.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.
The sum of two numbers is 10 and their product is 40. What are the numbers?

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