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Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.
A lion, a wolf and a fox each take a certain amount of time to eat a goat separately. How long would it take all these animals together to eat the goat?
This is an invited working conference as part of the ICMI Study Series.
The third part of a necklace of pearls, broken in a lover's quarrel, fell to the ground...
A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?

Mesopotamian accounting evolved from simple clay token counters to a number-recording system that included impressions of these tokens on clay tablets.

A speculator bought stock at 25% below par and sold it at 20% above par. He gained $1560. How much did he invest?
This is the title page of the 1779 edition of the works of Isaac Newton known at that time. Note that this is a much shorter book than the recent eight volume collection of Newton's mathematical papers, edited by Derek Whiteside.
The latest HPM Newsletter is now available here. Read it!
Three persons bought a sugar loaf in the form of a perfect cone 25"" high and agreed to divide it...what was the slant height of each one's share?

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