Senior striker Katie Glynn scored twice, with other goals coming from Charlotte Harrison, Krystal Forgesson and Sian Fremeaux, along with two own goals by the hapless Indian defence.
New Zealand had a sloppy spell early in the second half, India hit a post and had a penalty corner before the game's normal transmission of waves of New Zealand attacks resumed.
There was the odd defensive slipup which would have been punished by better teams.
''Sometimes you get a little over-confident and a bit slack when you have that much attack and we got a bit lazy with some of our marking," Hager said.
He's also gearing up for playing the tournament without influential and experienced midfielder Stacey Michelsen, ruled out by a torn knee ligament.
''She's the backbone of the defence and attack and is so good with the ball and gives us go-forward play. It is a big hole but we've got to learn to cope without players like Stacey when these injuries happen."
Germany's leadup form has been ordinary. They've been tonked by the strong Dutch side 10-2 and 5-1 by Australia.
New Zealand's third group game is against world No 13 Belgium late on Sunday night (NZT).