Problem of the Week

By Trudy Gau

Congratulations to Clara and Annabel from 2B and Florence from 5B for winning last week's PoW. Good luck with this week's problems.

I had $25 to spend at the Book Fair. I bought 3 books and spent all of my money.

How much could each book have cost?

Find at least two different possibilities.

At the Book Fair, half of the books sold were picture story books and one quarter were information books.

In total, fewer than 200 books were sold.

How many books could have been picture story books and how many could have been information books?

Find at least 3 different possibilities.

Every page in a book has a page number, starting at page 1.

The book has more than 100 pages but fewer than 200 pages.

When all the page numbers are printed, the printer uses more than 300 digits altogether.

What is the smallest number of pages the book could have if more than 300 digits were used?