You are here

Problems from Another Time

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

If 12 oxen eat up 3 1/3 acres of meadow in 4 weeks and 21 oxen eat up 10 acres of exactly similar meadow in 9 weeks, how many oxen shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)
Determine by using algebra the number of degrees in the angle A where: cos A = tan A
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?
A number is required; that the square shall be equal to twice the cube.
One says that 10 is divided into three parts and if the small part is multiplied by itself and added to the middle one multiplied by itself the result is the large one multiplied by itself...
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
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?
Determine the dimensions for a right-angled triangle, having been given the hypotenuse, and the side of the inscribed square.