Drawing from my experience in crafting problems for various mathematical competitions, including the AMC, I will share examples of some of the most beautiful and elegant problems I’ve encountered. These examples will illustrate the blend of creativity and rigor that goes into problem creation. We will explore the art behind writing competition questions, discussing the key elements that make a problem both challenging and engaging. Additionally, we’ll address the broader process of designing contest tests, ensuring a balanced and comprehensive assessment of participants’ skills.