In France, it is common to refer to “kilometres per hour” as “kilomètre-heures”. This fills me with a deep sense of mathematical unease.

So I started thinking about what a “kilometre hour” actually is. And also about turtles.

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In France, it is common to refer to “kilometres per hour” as “kilomètre-heures”. This fills me with a deep sense of mathematical unease.

So I started thinking about what a “kilometre hour” actually is. And also about turtles.

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 Puzzle #4 is now up. Either follow the links from the puzzle itself **HERE**, or, if you have seen the question already, click **HERE** to go straight to the solution.

As I mentioned previously, I think this is a good puzzle for mathematics learners at GCSE level or for those setting out on A-level courses, both for checking up on basic algebraic understanding and for illustrating some specific problem-solving skills. I have summarised the key learning points that I think the puzzle raises on the solution page.

I have put a new puzzle up. Nothing too tough this time. A classic algebra puzzle, which I have found to be pretty good as a test of how well GCSE/A-level students understand some basic points of algebra, while illustrating some important problem solving skills.

**#4: Hidden depths…
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Published:

Click **HERE** to access the puzzle.

The solution will go up in a day or two.