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AMO 2019 Primary 3 (Grade 3) Question 4

AMO · AMO 2019 Primary 3 (Grade 3)

Question 4

Here is a method for squaring a number ending in 5. For $25\times25=625$, calculate $2\times(2+1)=6$ and append 25. Similarly, $35\times35=1225$ uses $3\times4=12$, and $45\times45=2025$ uses $4\times5=20$. These squares always end in 25. Find the sum of the digits of $455\times455$.

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