Good and Bad Mathematical Problems

Two splendid problems, one terrible one and one intermediate one, all courtesy of


This week on I have encountered two of the finest mathematical problems that I have seen on that site, and also unequivocally the worst. In the rest of this post I will share these problems with you – solutions and explanations will appear in a later post.


This is the terrible problem referred to in the introduction. In almost 15 months og being a solver I have complained about precisely one problem – this one:

bad problem

The “correct” answer when I give it will make it clear precisely why I was so annoyed by the setting of this problem.


These two problems were beautifully set, very fun to solve, and one has a published solution that I consider to be quite superb. First:~
Mendrin Circles

I tackled this one this very morning:

Mr Mediocre question II


Can you give Honey the ant maximum possible access to the surface of the cube?

Honey the ant

Author: Thomas

I am branch secretary of NAS West Norfolk and #actuallyautistic (diagnosed 10 years ago at the comparatively advanced age of 31). I am a keen photographer, so that most of my own posts contain photos. I am a keen cricket fan and often write about that subject. I also focus a lot on politics and on nature.

One thought on “Good and Bad Mathematical Problems”

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