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Problems from Another Time

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

Now a pile of rice is against a wall, it has a base perimeter of 60 feet and a height of 12 feet.
There were two men, of whom the first had 3 small loaves of bread and the other, 2.
What proportions of sugar at 8 cents, 10 cents and 14 cents per pound, will compose a mixture worth 12 cents per pound?
Suppose a man had put out one cent at compound interest in 1620, what would have been the amount in 1824, allowing it to double once in 12 years?
Three circles of varying radius are mutually tangent. The area of the triangle connecting their centers is given. Find the radius of the third circle.
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
Two officers each have a company of men, the one has 40 less than the other.
Gun metal of a certain grade is composed of 16% tin and 84% copper. How much tin must be added to 410 lbs. of this gun metal to make a composition of 18% tin?
A number is required; that the square shall be equal to twice the cube.
Now there are six-headed four legged animals and four-headed two-legged birds. Find the total number of animals and birds.

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