I already know that as part of the gameplay for this game, Brainbox will have to light a dragon lantern on each level to awaken the statue. This in turn will ask a sequence of questions based on addition, subtraction, division or multiplication. Answering these correctly will unlock the exit to the level. The advantage of this is that the puzzles can be very visual since they appear as on screen illustrations.
The dragon lantern concept process is below, along with the final character design:
As you can see, I did a number of character sketches that I then combined the most interesting bits of to make the final character.