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Problems from Another Time

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

Given: a circle with an inscribed equilateral triangle. The triangle has an area of 12 square units. What is the area of the circle?
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.
To find three quantities x.y, and z...
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
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.
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
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?
What it took to get an 8th grade education in 1895
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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