# Problems from Another Time

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

A tree 100 units high is 200 units distant from a well; from this tree one monkey climbs down and goes to the well...
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?
I have two fields of grain. From the first field I harvest 2/3 a bushel of grain/unit area; from the second, 1/2 bushel/unit area.
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.
Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
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?
Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?
A barrel has various holes in it. The fist hole empties the barrel in three days...