Just use the fact sheet with the >= 30 remark and check how big the sample is in your question.
I only need help in part (b), I got this for othe independent part of checking the condition..(make sure you look at both pictures)
(b) we check then 10% condition. There at at least over 10(60) = 600 students in the school. (I don't really know if that's correct, how should I make it better?)