# Place Value, Ordering and Rounding Stage 4 - Short Problems

### Weekly Problem 9 - 2008

##### Stage: 3 and 4 Challenge Level:

The sum of 9 consecutive positive whole numbers is 2007. What is the difference between the largest and smallest of these numbers?

### Equal Length Powers

##### Stage: 3 Short Challenge Level:

Weekly Problem 33 - 2010
How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?