You should also be able to pick a paper copy of the full strings syllabus at your local music shop. Yup, it's free!!
To answer your questions though, you only need the keys you've already done to get Grade 1. I'm working towards it too and did my prep test 4 weeks ago.

The scales are one octave eac of G and D starting on the open strings and two octaves of C. Ditto arps.
Don't be afraid to mention exams to your teacher. You could always just say that you're interesting in working for Grade 1 and how should you go about it etc. You'll need to work on the aural test bits with your teacher.
What books have you been using so far?