Holiday puzzles
We at Problem of the Week would like to wish you a wonderful, very restful holiday! For those of you…
Problem of the Week (41)
Chloé chooses a real number uniformly at random from the interval . Independently, Laurent chooses a real number uniformly at random…
Problem of the Week (40)
Among the constants , there are equal to and equal to . Find the sum of all the products ,…
Problem of the Week (39)
Compute the sum of all positive integers for which the expression is an integer. Source: HMMT February 2021 (Harvard-MIT Mathematics…
Problem of the Week (38)
What is the least possible value of for all real numbers ? Source: AMC 12A 2021 Happy problem solving! Email…
Problem of the Week (37)
Leo the fox has a 5 by 5 checkerboard grid with alternating red and black squares. He fills in the…
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…