40003

Largest odd = 9983
Largest even = 8764
Multiple of three = 7632
Smallest multiple of five = 0015
Nearest to five thousand = 5124

Things we (as a group of four) considered
* Do you start the problem from the top box or bottom box?
* Using the 9's and 8's at the front for the top two categories
* 0005 and 0010 NOT allowed for the multiple of five
* Swap values when appropriate
* Multiple of 3 - check the digital root
* Check that the correct amount of digits have been used
* Do we use a points scoring system to see if the swapping of values improves the totals?
* Problem solving strategy - trial and error