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Australian AMC 2012 - Junior Question 29

AMC AUSTRALIA · Australian AMC 2012 - Junior

Question 29

Warren has a strip of paper 10 metres long. He wishes to cut from it as many pieces as possible, not necessarily using all the paper, with each piece of paper a whole number of centimetres long. The second piece must be 10 cm longer than the first, the third 10 cm longer than the second and so on. What is the length, in centimetres, of the largest possible piece?