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 a founder member and currently secretary of the West Norfolk Autism Group and am autistic myself. I am a very keen photographer and almost every blog post I produce will feature some of my own photographs. I am an avidly keen cricket fan and often post about that sport.

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