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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 four integers where if added together three at a time their sums are: 20, 22, 24, and 27. What are the integers?
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?
In the figure at the left, if the radii of each inscribed circle is 1, what are the dimensions of the bounding rectangle?
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.
Find the isoceles triangle of smallest area that circumscribes a circle of radius 1.
A horse halving its speed every day runs 700 miles in 7 days.
In a right triangle, the hypotenuse is 9.434 and the sum of the sides around the right angle is 13. Find the lengths of the sides around the right angle.
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
Four men already having denari found a purse of denari; each man has a different amount of denari before they found the purse. Find out how much denari each man has.
Rabbits and pheasants are put in a basket.

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