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Problems from Another Time

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

'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - Appendix B: Solutions
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Something Fishy at Customs
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
Weight of a Ball
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Points in a Semicircle
Given a semicircle, prove that if O is the circle's center, DO=OE.
Comparing Apples to Oranges
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
Drinking Wine by the Barrel
A man and his wife drink a barrel of wine at different rates.
Elephant Hunt
On an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day.
Water in a Fish Pond
There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?
Maximization
Find the greatest value of y in a given equation.
Grain and Camels
A certain gentleman ordered that 90 measures of grain were to be transported from his house to another, 30 leucas distant.

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