A school is organising a science exhibition. The students have collected \(275\) models and want to display them in a square arrangement, so that the number of rows is equal to the number of models in each row.
1. What is the maximum number of models that can be arranged in a square formation?
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2. How many models will be left over after making the largest possible square arrangement?
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3.
How many more models are required to make the next possible square arrangement?
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