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Problems from Another Time

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

On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
A circle is inscribed in an isosceles trapezoid. Find the relationship of the radius to the sides.
A railway train strikes a snowdrift which creates a constant resistance. How long does it take the snow to stop the train?
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?
One military horse cannot pull a load of 40 dan; neither can 2 ordinary horses, nor can three inferior horses.
A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?
Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.
A general formed his men into a square, that is, an equal number in rank and file, and he found that he had an excess of 59 men.
A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

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