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Problems from Another Time

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

Two ants are 100 paces apart, crawling back and forth along the same path. The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace. How many days before the first ant overtakes the second?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
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?
The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

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