# 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...
A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?
What will the diameter of a sphere be, when its volume and surface area are expressed by the same number?
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.
Knowing the base, b, and the altitude, a, of a triangle. Find the expression for a side of the inscribed square.
Now there are 100 deers [being distributed] in a city. If one household has one deer there is a remainder...Find the number of households in the city.
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...