Grimrock

I'm currently on Level 5. I pumped alot of points into Fire Magic, but I only have the first fire spell. Obviously, I missed the fire shield scroll somewhere along the way. I know that rune combinations can be guessed, but I was wondering if the number of runes in the rune combination is higher for a higher level spell, in other words, sequential and not random. For example if Firebolt is one rune will a higher level spell runes greather than 1?

Also, does a spell of a type, always have that rune in it? For example do fire spells always contain the fire rune (I assume so, but just want to make sure)?

I ask because I've been trying to guess Enchant Fire Arrow, which I assume is two runes, but I've tried every possible combination and the only one I've found (with a scroll) with two runes is Fire Shield.

To restate, my questions are:
1. Do higher level spells always have more runes than lower level spells?
2. Does a spell of a type always have the rune of that type in it?

Answer: There is a spell list in the Gameplay Hints forum. I suggest you do yourself a favor and make use of it.
If you want to know why, very minor spoiler below.