Chances of being admitted as an engineering major

<p>I've started applying to colleges as a biomed. engineer. I'm on the schools robotics team and have gotten first place at the International level, qualed at the international level at another competition, and state qualed every year. I have a real knack at this and was the only girl to make the team and I'm co-captain. I really like biology, aced anatomy, engineering and biotechnology classes, but I've had problems with math classes, and it shows on my transcript. Mostly bc I didn't study, but I'm afraid to apply as an engineering major for this reason. I made a 32 on the ACT. I have around a 3.5 GPA. I have really great ECs besides this, which mostly express my passion for community service. I've traveled to a third world country to help children. I hold positions in every activity I do. Do I have any chance at getting into schools as an engineering major? I was thinking of CMU, UMich, UIllinois, Georgia Tech., UT, and considering UPenn or John Hopkins.</p>