thanks a lot kassaa. do you know why the c's in twinkle twinkle are supposed to be sharp when there are no c's in the song? another question: do these sharp symbols on the bass clef effect notes on the treble clef as well?
1. Often, not all the notes in a scale are used in a particular piece. On the other hand, often, notes that do not belong to the scale according to the key signature are being used. They require the use of accidentals (sharps, flats, natural sign).
2. Generally, for a given instrument, the same key signature is used for all staffs. Your example is not a standard case in this respect. I am sure, though, some hot-shot young modern composer might do things like that. Different instruments, in a symphony for example, may well use different key signatures.
Those are very basic questions. You can find the answers in introductory books about music theory or in a number of web sites, such as
https://musictheory.netHave fun!