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Problems from Another Time

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

Poles
On a certain ground stands two poles 12 feet apart, the lesser pole is 35 ft. in height and the greater 40 ft. It is sought, if the greater pole will lean on the lesser, then in what part will it touch?
Area Approximation
Fibonacci gave a practical rule for approximating the area of an equilateral triangle.
Man Crossing a Bridge
A man is walking across a bridge, when a boat passes under the bridge.How rapidly are the boat and the pedestrian separating after the boat passes under the bridge?
8th Grade Education in 1895
What it took to get an 8th grade education in 1895
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.
A Dangerous Castle Indeed
A castle has n rooms each of which has 7 samurai in it.
Difference of Squares
Having been given the sum of two numbers, a, and the difference of their squares, b, find the numbers.
A Tree with Branches, Nests, Eggs and Birds
There is a tree with 100 branches. How many nests, eggs and birds are there?
Height and Distance
An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.
Why It Pays to Learn Math
In order to encourage his son in the study of arithmetic, a father agrees to pay him 8 pennies for every problem solved correctly and to charge him 5 pennies for each incorrect solution.

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