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This task, which is similar in format to those which can found on http://www.openmiddle.com/  

Dan Meyer describes these problems as such:

  • they have a “closed beginning” meaning that they all start with the same initial problem.
  • they have a “closed end” meaning that they all end with the same answer.
  • they have an “open middle” meaning that there are multiple ways to approach and ultimately solve the problem.
  • They often have multiple ways of solving them as opposed to a problem where you are told to solve it using a specific method. 
  • They may involve optimization such that it is easy to get an answer but more challenging to get the best or optimal answer. 
Credit: @offpistemaths

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