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AMO 2016 Grade 6 Question 13

AMO · AMO 2016 Grade 6

Question 13

The *Funny Book* has its pages numbered in the following way: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, ... . That is, there is one 1, two 2s, three 3s, four 4s, five 5s, and so on. How many actual pages (including front and back) will the *Funny Book* have if it contains all possible pages that are numbered “1” through “30”, but not any that are numbered “31”?