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 (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…
Irrational Powers (Part 1)
The solution discussion to Problem of the Week 11 may have got you thinking, what does it mean to raise…
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…
Problem of the Week (25)
What is the hundreds digit of ? Source: 2019 AMC 10A Happy problem solving! Email your solutions to [email protected]