England had already been eliminated after six defeats in seven matches in a debacle that has prompted demands for an overhaul of their one-day squad.
Electing to bat at Eden Gardens, England racked up a solid 337-9, with three of their top four batters smashing fifties in their third 300-plus total of the tournament.
Pakistan were all out for 244 in the 44th over and bowed out of the tournament after their fifth loss in nine matches.
New Zealand have joined India, South Africa and Australia in the semi-finals.
Reporting by Amlan Chakraborty in Kolkata; Editing by Hugh LawsonOur Standards: The Thomson Reuters Trust Principles.
Persons:
Jos Buttler, Pakistan's Babar Azam, Nasser Hussain, Andrew Boyers, Jonny Bairstow, Joe Root, Ben Stokes, Amlan Chakraborty, Hugh Lawson
Organizations:
Cricket, ICC Cricket, REUTERS, Rights, England, Pakistan, New, Thomson
Locations:
England, Pakistan, Eden Gardens, Kolkata, India, Rights KOLKATA, New Zealand, South Africa, Australia