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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.

  1. If his list went from 1 to 1000 how many digits would he have written down?
  2. 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

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