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AMO 2021 - Secondary 4 (Grade 10) Question 20

AMO · AMO 2021 - Secondary 4 (Grade 10)

Question 20

A sheet of paper is 0.25 mm thick. Each fold in half doubles its thickness: after one, two and three folds it is 0.50 mm, 1 mm and 2 mm thick. In this idealized thought experiment, what is the least number of folds needed to make it more than 1 km thick? If useful, $\log_2 10\approx3.322$.

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