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Australian AMC 2024 - Junior Question 29

AMC AUSTRALIA · Australian AMC 2024 - Junior

Question 29

Rodney builds increasingly large shapes out of unit rods. The smallest uses six rods and each larger shape adds a layer of hexagons around the previous shape. Starting with 2024 rods, Rodney builds a single shape like this, as large as possible. How many rods will he have left over?

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