Here is a nice problem tweeted by the Republic of Mathematics:
Average of 3 consecutive cubes, n^3, (n+1)^3, (n+2)^3 is an integer. Same true if 3 replaced by odd integer?
— Republic of Math (@republicofmath) August 4, 2015
Free of the constraints of Twitter’s 140 character limit, let’s explain this problem in a little more detail. Continue reading
The solution to the Gridlock puzzle is now available:
The next puzzle will be the really hard one that I have been promising for ages. The Mad Hatter is back, and this time he’s wearing a stetson…
A quick puzzle to keep things ticking over until the imminent return of the Mad Hatter. Suitable for A-level students and top-end GCSE, or even KS3. Has been known to stump maths teachers too:
#7: Gridlock
A deceptively simple puzzle. Fill in the grid.
Published: 29/07/2015
Difficulty: *
Maths knowledge required: Very basic – calculating means.
The solution will be available next week.
IMAGE: IDS.photos – Creative Commons
The giant crab that I have chosen to illustrate this post is not relevant to the puzzle, but bonus points go to anyone who knows why I have picked it and can provide an appropriate response… Continue reading