## Counting Up To One Thousand

#### Problem

A boy writes down the counting numbers from 1 to 20 in order and because each of the numbers from 10 to 20 contain two digits he notes that he has actually written down thirty-one digits in total.

- If his list went from 1 to 1000 how many digits would he have written down?
- If one-thousand digits were written down in total, how many complete numbers would have been written down?

Problem ID: 323 (30 May 2007) Difficulty: 1 Star