Star Game (Attic Door)

I found that the trick to this puzzle was to try to make a jump from one
of the points of the star as soon as I could.  After that, just plan your
moves ahead a bit, and make sure that you don't paint yourself into any
proverbial corners.

Read on for the answer.  The top point of the star is numbered 1, the points
on the first horizontal line are labelled 2-5 (left to right), the next two
points down are numbered 6 and 7, the point in between and just below 6 and 7
is 8, and the bottom two points are 9 and 10 (left and right).

Jump 6 to 1 and 5 -> 3,