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Problems from Another Time

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

If I were to give 7 pennies to each beggar at my door, I would have 24 pennies left in my purse. How many beggars are there and how much money do I have?
Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3.
A horse halving its speed every day runs 700 miles in 7 days.
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.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
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?
Rabbits and pheasants are put in a basket.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?

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