To earn the Curious badge you must:
Ask a well-received question on 5 separate days, and maintain a positive question record
You would need to ask at least 5 questions to earn this badge, each on different days. The questions have to be "well-received" which means they have a positive score and are on-topic (not on hold or closed as Glorfindel pointed out). A positive question record means you have more positively scored questions than negatively scored questions (so questions that aren't well-received could make it harder for you to earn this badge).
So, one way to earn this badge is to spend more than 5 minutes writing your questions! There is a lot of advice here on meta for writing questions that are likely to be well-received:
Please, everyone... details. Please
How can I write a better title for my ELL question?
So, you found a sentence or phrase... (Why you should cite your source)
One of the answers in the "Details, please" discussion has a good template for questions:
- Begin with an introduction, explaining where this word or phrase was found
- Explain why this word or phrase seems confusing
- Share the results of what was found when research was performed
- End with a clearly defined question that explains what is being asked about