Math Night - Resources

Last night, we held our annual Lower School Math Night.  For those of you who could not make it, I wanted to post the resources we handed out as well as the problem solving task we did (it was very challenging!).

Math Night Resources

The Locker Problem

One hundred students are assigned lockers 1 through 100. The student assigned to locker number 1 opens all 100 lockers. The student assigned to locker number 2 then closes all lockers whose numbers are multiples of 2. The student assigned to locker number 3 changes the status of all lockers whose numbers are multiples of 3 (e.g. locker number 3, which is open gets closed, locker number 6, which is closed, gets opened). The student assigned to locker number 4 changes the status of all locker whose numbers are multiples of 4, and so on for all 100 lockers. Which lockers will be left open?