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Problems from Another Time

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

In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?
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.
A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.
What is the value of X...
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
Three congruent circles of radius 6 inches are mutually tangent to one another. Compute the area enclosed between them.
On a day in spring a boy has gathered cherry blossoms under a cherry tree. Nearby a poet is reading some of his poems aloud. As he reads, the boy counts out the cherry blossoms, one blossom for each word of a poem.
Given four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
Determine the radii of three equal circles decribed within and tangent to a given circle, and also tangent to each other
The radius of a circle is 3.20 meters. Compute to within .001m the areas of the inscribed and circumscribed equilateral triangles.

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