How to Leave My Terrible Family - My Genius Sister is Actually Incompetent, and the Sister Called Incompetent is a Savior Mage

Noel almost got killed by her older sister when she was five years old. She was pushed into a horse racing track, but managed to survive by instinctively creating a barrier. This incident awakened Noel's magical abilities. Her family, however, believes she is incompetent. At twelve, Noel plans to escape her abusive family. Attending school is mandatory for nobles. Her father wants to send her to a cheap municipal school, but Noel sells her sister's hand-me-downs to fund her trip to a national academy, aiming for a scholarship and dormitory placement. The entrance exam requires a magical 'specialty'. Noel showcases her skill of 'casting a barrier around an egg', which changes her destiny. Extra chapters will be added as they are completed.