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Problems from Another Time

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

There is a tree with 100 branches. How many nests, eggs and birds are there?
In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
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 cylindrical tin tomato can is to be made which shall have a given capacity. Find what should be the ratio of the height to the radius of the base that the smallest possible amount of tin shall be required.
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
A round pond sits in a rectangular garden. Its center is inaccessible; however, you know the distances from each corner of the garden to the center of the pond: 60, 52, 28, and 40 yards. What is the radius of the pond?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
Given the frustum of a circular cone with height h.