Pinyin Rules

I am currently learning Chinese on Cpod and at an evening class (once a week). I have been given a sheet with the task to:

Write down the following Pinyin in the correct form and read it:

1. ū iā
2. uéng ián
3. ǜ uàng
4. üàn ì
5. ú ǚ
6. ǚ iè
7. uāng iáng
8. ǔ í
9. ún í
10. ǚ ún
11. īng ǔ
12. ì ù

Now, in the last five mins of my last class we ran through some pinyin rules:

• if a word begins with 'u' the written form is 'w' and..
• if a word begins with 'i' the written form is 'y'
• the vowel 'u' after consonants 'j', 'q' and 'x' should be pronouced 'ü'
• there is no 'ü' after consonants 'z, c, s, h, r, zh, ch and sh'
• and, the letter 'i' after 'z, c, s, zh, ch, sh and r' has no sound but is a tonal vehicle.