The Chiefs reached their targets while the Blues are still scrambling for their next Super 15 victory.
After their 23-16 derby triumph in Mt Maunganui, the bye-bound Chiefs will stay top of the New Zealand conference as they watch the rest of the teams beat each other up.
One of those contests involves the Blues who back up at Eden Park on Friday against the winless Highlanders.
"We couldn't have got a lot more out of our guys but we need to add a little bit of nous under pressure," said Blues coach John Kirwan.
"The Chiefs are the best football team in the competition, they strangled us and they are very good at it."