You should not expect to look at it and know how to do the entire thing. You should look at it and start by scabbing as many of the easy marks you can grab first.
The questions are not meant to be something you've seen before. The question tests your ability to adapt what you know to a new scenario, not regurgitate a process taught in class. You should be breaking down the question and looking for key words, aspects, values etc. that have been hidden. (E.g. "find the minimum blah".)
You should always anticipate the need to draw concepts from 2 or 3 (or in the rare case 4+) topics at once, instead of expect the question to just be focused on one little thing.
You need to test an idea out and expect a hit-or-miss scenario. Sometimes your first instinct is a success, but more often than not it doesn't work. Take another stab at it.
Use previous parts. Keep track of what you've already shown.
Know how to manipulate algebraic expressions well. (And things such as sides and angles if you're doing geometry.)
Solutions are there to help you learn. You should never rely on them immediately, but once you've genuinely given a question all you got, you should be reading it and copying it all out to help you learn. Through copying them down, you should force yourself to understand why something worked, not just the how.
And do not obliterate all of your working out. Put a cross over it (or something) if you think it's wrong, but don't destroy it because the examiner may see that you were on the right track and give you partial marks for it.
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