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A wooden log is encased in a wall. If we cut part of the wall away to a depth of 1 inch...
A square walled city measures 10 li on each side. At the center of each side is a gate. Two persons start walking from the center of the city.
Given a right triangle where you know the length of the base and the sum of the perpendicular side and the hypotenuse.

Download the three winning essays to learn about medieval Islamic dust boards, Old Babylonian similarity, and the Fermat Problem.
A survey of concepts of infinite sets over the centuries.
A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.
A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.
The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?
There is a four-sided field whose eastern side measures 35 paces, its western side 45 paces, its southern side 25 paces and its northern side 15 paces. Find the area of this field.
A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more.

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