Major scale in mode 2

In Exercise 2: Melody, I find it difficult to play a scale starting on note 2 or any other note besides note 1. I can sight read most things, but starting on anything other than note 1 is problematic. Please help.

I have been practicing the IFR exercises for half a year and it's great how I am progressing! One of my obstacles is that I still imagine notes and lines from a music staff, instead of the numbers of the chord notes as you describe in your exercises. Is there any way to switch from one image to the other?