Problems from Another Time

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

Determine by using algebra the number of degrees in the angle A where: cos A = tan A

Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.

Apes in a Forest

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?