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Problems from Another Time

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

Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
Determine a number having remainders 2, 3, 2 when divided by 3, 5, 7 respectively.
Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
Two travelers, starting at the same time from the same point, travel in opposite directions round a circular railway.
Seven men held equal shares in a grinding stone 5 feet in diameter. What part of the diameter should each grind away?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given a pyramid 300 cubits high, with a square base 500 cubits to a side, determine the distance from the center of any side to the apex.
A wooden beam is stood vertically against a wall. The length of the beam is 30 units.

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