Union apprenticeship sign-ups near Chicago - any advice?

A local apprenticeship programme is taking applicants for the next intake. I have read a lot of threads here and could not find my exact situation. The application needs a diploma or equivalent, a driver's licence and a short aptitude test. Did anyone go through it?

Thanks for writing this out. I went through something close to it last year, and it got easier once I kept a simple log of every call and form.