Place Value Stage 4 - Short Problems

A collection of short Stage 4 problems on place value, ordering and rounding



Weekly Problem 9 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Weekly Problem 33 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

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

Weekly Problem 46 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Consider a 10-digit number which contains only the numbers 1, 2 or 3. How many such numbers can you write so that every pair of adjacent digits differs by 1?