68 // Pure v. Applied

Suppose that two cars travel right round the M25, staying in the outside lane--no, make that two white vans travelling right round the M25, staying in the outside lane, as they tend to do. Assume that one is going clockwise and the other anticlockwise, and suppose (which is not entirely true but makes the problem specific) that the distance between these two lanes is always 10 metres. How much further does the clockwise van travel than the anticlockwise one? You may assume that the roads all lie in a flat plane (which also isn't entirely true).

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Answer on page 267

Pure v. Applied Relations between pure and applied mathematicians are based on trust and understanding. Pure mathematicians do not trust applied mathematicians, and applied mathematicians do not

........................................... understand pure mathematicians.

Magic Hexagon Magic hexagons are like magic squares, but using a hexagon- shaped arrangement of hexagons, like a chunk of a honeycomb:

Grid for magic hexagon.

Your task is to place the numbers from 1 to 19 in the hexagons so that any straight line of three, four or five cells, in

two page view?

all devices