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Problems from Another Time

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

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 sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
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
To find three quantities x.y, and z...
A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
What it took to get an 8th grade education in 1895
Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...
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?

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