Hi,
Thanks for all the input, the puzzle certainly is harder than it initially looks!
To be fair, the original homework was "design a dartboard so that when all 3 darts scored you could get every number from 3 to 100", so you could have used lots of numbers (eg 1-34).
I added the part about the minimum number thinking that a simple formula and/or excel could be used to formulate a solution.
Finally, the homework was for 7 year-olds!!! It was a follow up to some very simple stuff, so I assumed it would be easy! (When it started to look hard, I just told him not to do it, so hopefully it has not put him off maths!!)
Thanks for all the input, the puzzle certainly is harder than it initially looks!
To be fair, the original homework was "design a dartboard so that when all 3 darts scored you could get every number from 3 to 100", so you could have used lots of numbers (eg 1-34).
I added the part about the minimum number thinking that a simple formula and/or excel could be used to formulate a solution.
Finally, the homework was for 7 year-olds!!! It was a follow up to some very simple stuff, so I assumed it would be easy! (When it started to look hard, I just told him not to do it, so hopefully it has not put him off maths!!)