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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?
If a ladder, placed 8 ft. from the base of a building 40 ft. high, just reached the top, how far must it be placed from the base of the building that it may reach a point 10 ft. from the top?
Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual growth of the population.
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.
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
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
Determine the dimensions of the least isosceles triangle ACD that can circumscribe a given circle.
What it took to get an 8th grade education in 1895
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods; and he is to pay 1 dollar for each rod in the length of the land and 3 dollars for each rod in the breath of the land.

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