What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?

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

A man has four creditors. To the first he owes 624 ducats; to the second, 546; to the third, 492; and to the fourth 368.

It is required to determine whether 30 horses can be put into 7 stalls; so that in every stall there may be, either a single horse, or an odd number of horses.

One says that 10 garments were purchased by two men at a price of 72 dirhams. The garments varied in value. The price of each garment of one man is 3 dirhams more than the price for each garment of the other. How many garments did each man buy?

A man bought a number of sheep for $225; 10 of them having died, he sold 4/5 of the remainder for the same cost and received $150 for them. How many did he buy?

A barrel has various holes in it. The fist hole empties the barrel in three days...

There are two columns in the ruins of Persepolis left standing upright; one is 70 ft. above the plane, and the other 50 ft;

If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)

Determine the different values of x, when a certain function hits a minimum.

A two door gate of unknown width is opened so that a 2 inch gap exists between the two doors.