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Australian AMC 2016 - Upper Primary Question 28

AMC AUSTRALIA · Australian AMC 2016 - Upper Primary

Question 28

A class has 2016 matchsticks. Using blobs of modelling clay to join the matches together, they make a long row of cubes. This is how their row starts.

Question illustration

They keep adding cubes to the end of the row until they don’t have enough matches left for another cube. How many cubes will they make?