Centers at a Corner
Sketch the area reachable by the midpoint of a line segment of length 1, if its entire length is confined to the first quadrant (x>=0 and y>=0) of a Cartesian plane, and one of its end points must be on the x- or the y- axis.
Distance Sums
If we place 3 points on a line segment of length 1 and add up all pair-wise distances between them, what’s the biggest sum we can get?
Factors of Non-Integers
Problem of the Week #93: Monday June 23rd, 2025As before, these problems are the results of me following my curiosity, and I make no promises regarding the topics, difficulty, solvability…
Angles of Intersecting Chords
Here's a problem based on an obscure theorem about angles of intersecting chords.
Meeting Name Cards I
4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched. Then rotate the table such that at least 2 people have the right name cards.