Power-ups
Power-ups like 'Accuracy' and 'Extended Time' are helpful, but don't waste them on your earlier rounds when you are still getting a handle on the game's mechanics. The Stars required for the power-ups are hard to earn in this game, and it leans pretty heavily towards IAPs.
Puzzles
On puzzles with several small lines (like sunbursts), aim for quick, controlled swipes rather than careful line tracings.
Trace
Do not trace the shortest lines first. Each sign will have a boost / combo power-up displayed on one of its lines at launch. This disappears quickly, so make tracing the line with the power-up your first priority.