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Problems from Another Time

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

Find two number with sum 20 and when squared their sum is 208.
There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;
If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)
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.
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
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 fox, a raccoon, and a hound pass through customs and together pay 111 coins.
Find the area of the elliptical segment cut off parallel to the shorter axis;

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