You are here

Problems from Another Time

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

Heron of Alexandria (ca 200) wrote on many aspects of applied mathematics.
If a ball 6 inches in diameter weighs 32 lbs, what will be the weight of a ball 3 inches in diameter?
Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
A fish sees a heron looking at him from across a pool, so he quickly swims towards the south. When he reaches the south side of the pool, he has the unwelcome surprise of meeting the heron.
Find the area of the elliptical segment cut off parallel to the shorter axis;
A number of 3 digits in base 7 has the same three digits...
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
A man and his wife drink a barrel of wine at different rates. Find the rate it takes both of them together to drink the wine.
Having been given the sum of two numbers,a, and the difference of their squares,b, find the numbers.