A mathematical investigation is an exciting way for students to learn to develop systematic reasoning and mathematical rigor in a relaxed and easy going manner. Setting up an investigation which achieves this objective is, however, not always easy. In addition, the teacher needs to facilitate the proceedings in such a manner that the student takes ownership of the investigation and develops these skills in a natural manner.

In this edition of ‘Adventures’ we study a few miscellaneous problems, some from past RMOs. As usual, we pose the problems first and give the solutions later in the article, thereby giving you an opportunity to work on the problems.

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