Copyright © University of Cambridge. All rights reserved.

'Leftovers' printed from http://nrich.maths.org/

Show menu

See all short problems arranged by curriculum topic in the short problems collection

As $n$ takes each positive integer value in turn (that is, $n=1$, $n=2$, $n=3$...) how many different values are obtained for the remainder when $n^2$ is divided by $n+4$?
 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.