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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - Proportionality Techniques
Discussion of 15th century French manuscript, with translation of its problems, including one with negative solutions
Lotus in the Lake
In a certain lake, swarming with red geese, the tip of a lotus bud was seen to extend a span above the surface of the water.
Nuts Over Counting
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. What is the smallest number of nuts he could have?
Two Balls, No Strikes!
Imagine an urn with two balls, each of which may be either white or black. One of these balls is drawn and is put back before a new one is drawn.
Mystery Number
What number is that, which being increased by 1/2, 1/3, and 1/4 of itself, the sum shall be 75?
Under Siege
One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.
Japanese Temple Problem 2
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Pair of Numbers
There are two numbers whose sum equals the difference of their squares.
To Know a Little
To find three quantities x.y, and z...
Four Circles in a Square
In a given square, inscribe 4 equal circles so that...

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