Chelsea were first to show when, after Everton right-back Tony Hibbert was caught napping in the fourth minute, Ashley Cole's vicious high volley forced Tim Howard to dive high and push round his post.
Toure was not about to miss out when Silva slipped past Distin and carved open the home side's defence once more after 28 minutes, finishing emphatically high past Howard after being played in by another perfect angled pass.