A copper water tank in the form of a rectangular parallelopiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?

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A powerful, unvanquished, excellent black snake, 80 angulas in length, enters into a hole at the rate of 7 1/2 angulas in 5/14 of a day, and in the course of a day its tail grows 11/4 of an angula.

Original source material from seventeen mathematicians, with commentary by Stephen Hawking.

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?

These are the winning entries from the annual History of Mathematics SIGMAA Student Paper Contest.

A fellow said that when he counted his nuts by twos, threes, fours, fives and sixes, there was still one left over; but when he counted them by sevens they came out even. How many did he have?

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?

This meeting will take place at the MAA Carriage House in Washington, DC on April 19, 2008.

Given a wooden log of diameter 2 feet 5 inches from which a 7 inch thick board is to be cut, what is the maximum possible width of the board?

A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...