If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)

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Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25

In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"

A study of some elements of Greek geometry, as part of a course for liberal arts undergraduates on basic concepts of the calculus.

Problems from a 15th century French manuscript, including one with negative solutions

There are a number of wonderful mathematics websites that readers of Convergence should be aware of. We describe some of them here.

This is page 167 from the Exercitationes mathematicae (1657) of Frans van Schooten (1615-1660). This book contained a collection of mathematical construction problems, among much else. It was one of the books read by Isaac Newton while he was a student at Cambridge University and helped to introduce him to modern mathematics. On this page we see a construction enabling one to find the distance across a river.

Poster picturing five famous women, from Hypatia to Grace Hopper.

Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.

Why should we use historical problems in today's classroom? This article answers that question and serves as an introduction to the problems on this website.