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Problems from Another Time

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

What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
Suppose that the propability of success in an experiment is 1/10. How many trials of the experiment are necessary to insure even odds on it happening at least once?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
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.
Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 7 months.
How high above the earth must a person be raised that he [or she] may see 1/3 of its surface?
Two men start walking at the same time and travel a distance. One is walking faster and completes the journey sooner. How fast did each man travel?

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