Of course, even if the entire team performs brilliantly against Bangladesh, and wins easily, it may not be enough to go through to the semi-finals.
Jason Roy's poor run continued, a struggling innings of 13 ending when he walked across his stumps and was bowled by the pacy Adam Milne. Guptill's partner, Kane Williamson, was also collecting some useful singles and a few twos as New Zealand began to make progress. However, Martin Guptill (27) and Kane Williamson (87) hit five boundaries in a span of three overs to release the pressure as New Zealand reached 40 for one in 10 overs.
The senior men, massive for New Zealand's hopes, added 89 and the platform was set for a final launch.
They take on Steve Smith's Australia on Saturday knowing a win will see them top their group and potentially knock their rivals out of the competition. Williamson's 50 came off 65 deliveries.
Victory in this match would see England into the semi-finals, with New Zealand looking to kickstart their campaign in a 50-over tournament featuring the world's top eight one-day global sides after a rain-induced no result in their opening clash with Australia.
Meanwhile, leg-spinner Adil Rashid justified his recall in place of injured all-rounder Chris Woakes with a 10-over return of two for 47.
Earlier, Root hit four fours and two sixes before chopping the ball back onto his wicket against Anderson. As we speak, England are 278 in 46 overs.
But Hales, having smeared Milne over the boundary at long off, was tricked by a slower ball next delivery and departed at 118.
"We'd have bowled first", said England captain Eoin Morgan after his side were sent into bat in overcast conditions and on a green-tinged pitch.
He finished unbeaten on 61 off 48 balls, sharing decent late stands of 30 with Rashid off 21 balls, and 49 with Plunkett off 30 balls.
New Zealand play Bangladesh, whom they beat 3-0 in an ODI rubber at home last summer, then split two matches in their tri-series in Ireland immediately preceding the Champions Trophy, on Friday night, also in Cardiff.
Williamson was disappointed with his side's performance, and said: "They bat very deep with a lot of power, so restricting them wasn't a bad effort".
New Zealand's run-chase got off to a poor start as Luke Ronchi - so impressive in Saturday's game against Australia - was bowled for a duck by Ball in the first over.
Stokes had looked in ominous form until a poorly played ramp shot to third man off Trent Boult (1-56), who then pulled off a stunning overhead catch to dismiss Moeen Ali (12). A record of 47 runs at 6.71 in England one-day matches since his bench-warming exercise at the IPL reveals that impudence is now in short supply. "And Australia are one of the best teams".
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