Problem of the Week (36)
In the tribe of Zimmer, being able to hike long distances and knowing the roads through the forest are both…
Problem of the Week (35)
This an incredible problem—incredible because it seems to lack sufficient data for a solution. A cylindrical hole six inches long…
Problem of the Week (34)
The solution of the equation can be expressed in the form . Find . Source: AMC 12A 2010 Happy problem…
Problem of the Week (33)
Suppose there exists a convex (all angles less than 180 degrees) -gon (polygon with sides) such that each of its…
Problem of the Week (32)
Six regular octagons each with sides of length 2 are placed in a two-by-three array and inscribed in a square…
Problem of the Week (31)
Four golf balls can be placed so that each ball touches the other three. Five £1 pound coins can be…
Problem of the Week (30)
For how many real values of is an integer? Source: AMC 12A 2006 Happy problem solving! Email your solutions to [email protected]
Problem of the Week (29)
You have an x square which you know can be tiled completely, without overlaps, by 2×2 and 3×3 squares, using…
Problem of the Week (28)
Let be a polynomial with roots . What is ? Source: HMMT February 2020 (HMMT = Harvard-MIT Math Tournament) Happy problem solving!…
Problem of the Week (27)
A logician vacationing in the South Seas finds himself on an island inhabited by the two proverbial tribes of liars…