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2023 BIMC keystage2-EMIC team Question 9

xIMC · 2023 BIMC keystage2-EMIC team

Question 9

A wizard paints in grey four squares of an infinite grid table, as shown in the diagram below on the left. Then he casts a spell so that, at every second, each square that has at least one common side with those grey squares becomes also grey. For example, after 1 second, there will be 18 grey squares as shown in the diagram below on the right. What is the number of grey squares after 60 seconds?

Question illustration