Football League - mathematics investigation.

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Vimalraj                                                                                                                                                

Arumugam 8P

(Maths Coursework)

                                               

This Chart shows the football teams A, B, C and D and in total every team plays three matches. There will be twelve games in total.  
 

1) How many games would there be if there were three teams?

If there were three teams there will be two matches each and six games in total.  I know this because the grid below shows it-

The rule for this question is that you take away one grid from the grid above and you get your answer.  I predict the next answer will be eighteen games.

2) How many games would there be if there were five teams?

If there were five teams there will be four matches each and twenty games in total.  The rule is, add two extra grids to the grid above and count the grids up.  This rule will work because the grid below shows it-

The grid will explain the rule so if you have an extra grid you just add on the number of teams and take away one for each team.  My prediction for this
question was wrong.
                                                                                                         

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3) How many games would there be if there were six teams?

If there were six teams there will be five matches each and thirty games in total.  The rule is to count in extra girds; such as if there was five girds count in an extra ten matches.  The gird below simplifies this answer-

 

So you count in this extra girds on the right and you count the extra grids at the bottom and this is how you get you answer. It is very simple.

4)

5) Can you spot ...

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