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Problems from Another Time

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

There is a garden is the shape of a rhombus whose side is 768.52 feet. Within the garden is an inscribed square flower bed whose side is 396 feet. What is the area of the garden?
In a right triangle, let the perpendicular be 5 and the sum of the base and hypotenuse 25. Find the lengths of the base and hypotenuse
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
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.
What it took to get an 8th grade education in 1895
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
A lion, a wolf and a fox each take a certain amount of time to eat a goat separately. How long would it take all these animals together to eat the goat?
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
Three persons bought a sugar loaf in the form of a perfect cone 25"" high and agreed to divide it...what was the slant height of each one's share?