You are here

Problems from Another Time

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

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 water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
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?
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...
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
If two Post-boys, A and B at 59 miles distance from one another, set out in the morning in order to meet...
In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"
The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students