Maths riddle - I think it is Diamond but doesnt quite match

My first is in starter but not "of the day"

My second is in homework but never in play

My third is in school but not in the child.

My fourth is in tame but not in the wild.

My fifth is in subtract but not in add

My sixth is in multiply while not going mad.

My last is in grass but not in the lawn

My whole is a name for a red suit not worn.

You are challenged to draw one, using only these tools,

Pencils and set squares and 30cm rules!