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

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Place Value, Ordering and Rounding - Stage 4.

### Equal Length Powers

##### KS 3 & 4 Short Challenge Level:

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

### Stars in the Sky

##### KS 4 Short Challenge Level:

Weekly Problem 35 - 2015
Can you work out how approximately how many stars there are in the universe?