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THE SCHOOL’S RECORDS<br />

Kellie’s school celebrated its half-centenary this year. She joined with a group of her<br />

classmates to gather all the photographs <strong>and</strong> newspaper articles they could get from<br />

former students to put together a record of life at the school over the last 50 years. It<br />

was interesting to see how much life had changed over the years.<br />

When they had all of the materials arranged on the pages of the school’s collection<br />

of its records, Kellie pencilled the page numbers of each page to help later with<br />

drawing up the table of contents.<br />

1. After she had finished, Kellie told the others that she had written 687 digits. How many<br />

times had she written each of the digits 0–9?<br />

2. How many pages had she numbered?<br />

3. What page had she numbered when she was halfway through her task?<br />

4. How many digits had she written at this point?<br />

R.I.C. Publications ® www.ricpublications.com.au <strong>Problem</strong>-<strong>solving</strong> in mathematics<br />

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