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    Heya,
    I'm currently trying to figure out what to do for my Math Exploration and I was thinking of creating my own problem and then solving it. Is this a bad idea??
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    It is dangerous because you might well end up with an analytically insoluble problem. Most problems in the world are insoluble analytically.

    You could work numerically which gives you a chance to do something that you can analyse.

    Check the mark scheme. Do something for every point in the scheme and do something straightforward well rather than something over complex badly.

    A suggestion would be to look at something from queuing using a spreadsheet. I would have thought for someone at roughly A-level standard could look at setting up a model of motorway traffic and then look at the effects of blockages-collisions on a Motorway on arrival times.

    A related problem might be to look at general arrival times taking into account the rush hour. For example, if you commute to the centre of a large town are there arrival times that are effectively unmanageable. e.g. If I leave J30 of the M1 at 0530 I will arrive in Leeds centre around 6:30. However as time goes on and queues build I will probably find that arriving between 0815 and 0830 is more or less impossible.


    This site provides some real data to use.
    https://www.dft.gov.uk/traffic-counts/
 
 
 
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