Workspace for the locker problem...

Teacher Preparation Academy
The College of Health, Education, and Professional Studies

There are 1,000 lockers in a particular high school, all lockers with closed doors. A student begins at locker #1 and opens every locker door. A second student changes the status of every 2nd locker door. A third student changes the status of every 3rd locker door, etc. Which locker doors are still open after all 1,000 students have completed the process? How does this relate to what we are studying?

Snover, S. L., & Spikell, M. A. (1982). Mathematical problem-solving with the microcomputer. Englewood Cliffs, NJ: Prentice-Hall, Inc.

Here are the student lockers:

01 02 03 04 05 06 07 08 09 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50

Created 06/17/1998, last modified 07/07/2004.
[Dr. McAllister]
Copyright © 1996-2004 Deborah A. McAllister, The University of Tennessee at Chattanooga. All rights reserved. The University of Tennessee at Chattanooga is an EEO/AA/Title VI/Title IX/Section 504/ADA institution.