Chasetown took the lead after 12 minutes.
Danny Cocks got the ball across and Jon Beaumont scored with his right foot at the second attempt.
The hosts levelled just before the half hour. Chris Smith was afforded too much space inside the penalty area and drilled beyond Curtis Pond.
The Scholars deservedly regained the lead in the 34th minute.
A Jimmy O'Neill long throw in found it's way to substitute Muzzy Nduna who headed beyond Matt Johnson.
Castle were quick to level again. A whipped cross from the right was turned home by Kyle Stubbs who stole in at the far post.
The hosts then turned it around with a third goal in the far post as Rob Orlando-Young whipped over another low cross and Smith tapped home his second goal.
Newcastle survived a bizarre scare at the start of the second half.
Johnson cleared the ball straight into Will Whieldon but typifying Chasetown’s luck of late, the ball span off the midfielder against the Newcastle post and straight back into Johnson's arms.
Chasetown were reduced to ten men after Beaumont received a straight red for a challenge deemed high by referee Mr Barrow.
Smith completed his hat trick seizing on an under hit back pass to slide past Pond.
The hosts made the extra man count and Smith netted his fourth with another clear run on goal through the inside right channel. Chasetown never gave up but were unable to climb the mountain they'd made.