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This is one of my favourite exercises. Actually it’s more of a competition. To emphasize the importance of converse statements I set a simple challenge for my students. In a different lecturer’s class (i.e., not in mine) all they have to do is ask the question “What about the converse?” when a statement of the form $A\implies B$ is used. Nothing more. (The statement can be in any format, e.g. “If …, then …”). The first person to do that wins a prize: one of chocolates, wine or a signed photograph of me. (Rather unbelievably, the latter has been claimed more than once.)