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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.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
In one day, a person can make 30 arrows or fletch [put the feathers on] 20 arrows.
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.
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Given right triangle ABC where C is the right angle, ellipse O (a,b) is inscribed in it, with its major axis parallel to BC. Calculate the semi-major axis, a, in terms of AC, BC and b.
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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