Steven Davies is Worcestershire's best hope of reaching that target after ending the day 40 not out.
James Foster and Steven Davies are the wicketkeepers chosen as back-up to Matt Prior for the 50-over competition.
Surrey's Steven Davies had looked set to be named in the 15-man squad after being selected for the one-day series.
BBC: Cricket World Cup: Matt Prior surprised by England call
Reserve keeper Steven Davies, seamer Tim Bresnan and spinner Monty Panesar are the three players omitted from the 16-man touring party.
Rashid then found the edge of Haque's bat and Steven Davies made no mistake behind the stumps to dismiss him for 24.
Wicketkeeper Steven Davies and off-spinner Gareth Batty have come in from Worcestershire, with Piyush Chawla (another spinner) named as the overseas pro.
They are joined by Sussex spinner Panesar and Surrey fast bowler Tremlett with another Surrey man, Steven Davies, taking the reserve wicketkeeping spot.
BBC: Monty Panesar and Chris Tremlett in England Ashes squad
Surrey-bound Steven Davies, who dashed straight off after the match to join the England squad in South Africa, made 33 from 22 balls.
The home side began at 285-7 and declared on 300-8 after securing a third bonus point, with Steven Davies unbeaten on 78, featuring seven fours.
Steven Davies also narrowly missed out on getting on the end of a vicious cross from the lively Ben Davies, while Jason Shackell headed over late on.
The selectors have named three wicketkeepers in the squad with Essex's James Foster, who has not played international cricket for seven years, joining Matt Prior and Steven Davies.
Steven Davies has had a solid series and surely cemented a place as reserve wicketkeeper for the Ashes tour, but he remains prone to the odd moment of impetuosity.
Among the Lions, Denly and Stephen Moore will look back with pride on their 172-run opening stand in the first innings, while Steven Davies and Adil Rashid also hit half centuries.
He had already featured on the staff at New Road way back in 2003, when he made three second XI appearances, featuring alongside Stephen Moore, Steven Davies and future county skipper Daryl Mitchell.
Worcestershire will begin the new season without the services of Gareth Batty, Stephen Moore, Kabir Ali, Simon Jones and Steven Davies, who all left New Road at the end of the 2009 campaign.
BBC: Steve Rhodes enthused by Worcestershire's young players
Indeed England were ahead of the rate from the off with left-handers Strauss and Steven Davies playing in calm fashion, picking off the loose balls and using the pace of Shoaib Akhtar to good effect.
BBC: Century for Andrew Strauss in England win over Pakistan
At present, Sweden-based Anton Hysen is the only openly gay footballer although other sportsmen have come out in different disciplines, such as Puerto Rican boxer Orlando Cruz, Welsh rugby player Gareth Thomas and English cricketer Steven Davies.
He praised as "remarkable and very grown up" the response of the England and Wales Cricket Board (ECB) to England wicketkeeper Steven Davies's decision to come out, he added that "there's still a lot of work to do".
The new series is also overseen by a new creative team, led by experienced TV writer Steven Moffat, as Russell T Davies has also stood down as the show's producer and chief writer.
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