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Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 5 months.

Age

My age is a number consisting of two digits, 1/7 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.

The Geometry of Rene Descartes

Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

Creatures with Four or Six Heads

Now there are six-headed four-legged animals and four-headed two-legged birds. Find the total number of animals and birds.

Maximization

Find the greatest value of y in a given equation.

Crown of Metal

Make a crown of gold, copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.

Three Piles of Rice

Now a pile of rice is against a wall with a base circumference 60 chi and an altitude of 12 chi.

Four Integers

Given four integers which, if added together three at a time, their sums are: 20, 22, 24, and 27. What are the integers?

Four Companies

There are four companies, in one of which there are 6 men, in another 8, and in each of the remaining two, 9 men. How many ways can a committee of 4 men be composed by choosing one man from each company?

Maya Calendar Conversions

The authors provide descriptions of Maya calendar systems, photos of artifacts, examples of calendar conversions, and exercises for classroom use.