Your goal is to make the highest possible score in the following
game. You have a collection of numbers 1, 1, 1, 2, 3, 5, 6. A move
in the game is made by picking any two numbers and either adding them
or multiplying them. The result is put back into the collection. You
continue moving until one number is left. That number is your score.
Example:
Collection  Move 
1,1,1,2,3,5,6  1+6=7 
1,1,2,3,5,7  1+5=6 
1,2,3,6,7  1+2=3 
3,3,6,7  3*6=18 
3,7,18  3*7=21 
18,21  18*21=378 
Score=378 
To mail back the answer above you could email us the mesage
(1+6)*(1+5)*(1+2)*3=378 to show how you got the answer. The best
possible score is bigger than 378. Send your answer to
mathstat@uoguelph.ca
Back to Problems
