AguMans/ScoreBetter ? reverse-engineered prompt

Build me a simple website for ScoreBetter that feels polished and modern, with a clean homepage focused on generating quiz and olympiad style questions in real time.

I want the page to explain that it creates questions based on real competition patterns, and make that feel impressive and trustworthy. Add a strong hero section, a short feature section, and a clear call to action for someone to try it. Include a nice logo placement, smooth scrolling, and a layout that works well on mobile too.

Keep the design friendly for students and teachers, with sections like how it works, what kind of questions it makes, and why it is useful. If it makes sense, include a simple demo area or sample question card so the product feels more real. Make the whole thing look finished and ready to publish, using the existing files in the project. If you need to check anything current, look it up online.