Mathematics, Physics Applicant

I wrote about how I thought of an interesting math problem, tried to solve it, failed, but was still proud of myself for having discovered something new in the process without help from anything else. Transitioned into my love for problem-solving in math, how it's always been fundamental to who I am, and how I've recently developed a passion for teaching. It's written in a mix of formal and casual, pretty close to how I talk in everyday life. Well-written, regardless.

I didn't put much thought into these. I wrote about my personal journey of being challenged by AcaDec, my lifelong love for astronomy, and my teamwork experiences in Boy Scouts. They're well-written, but they're pretty generic in hindsight.

I put a lot more effort into these. For the “why do you want to study here” question, I put down all the main points I feel like they'd look for based on their website and related them back to the traits I like to see in schools. I also mentioned my interest in politics and how I'd like to take a class in the theory behind it all.