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Australian AMC 2021 - Upper Primary Question 26

AMC AUSTRALIA · Australian AMC 2021 - Upper Primary

Question 26

Pip starts with a large square sheet of paper and makes two straight cuts to form four smaller squares. She then takes one of these smaller squares and makes two more straight cuts to make four even smaller ones, as shown. Continuing in this way, how many cuts does Pip need to make to get a total of 1000 squares of various sizes?

Question illustration

Each arrow represents two cuts.