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Problems from Another Time

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

Three people buy wood together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.
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?
Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
There is a number which when divided by 2, or 3, or 4, or 5, or 6 always has a remainder of 1 and is truly divisible by 7. It is sought what is the number?
Knowing the base, b, and the altitude, a, of a triangle, find the expression for a side of the inscribed square.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
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.
Two officers each have a company of men, the one has 40 less than the other.
In a given square, inscribe 4 equal circles so that...

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