Monty Panesar took one for 35 from 10 overs but Samad and Mulla were largely untrouble by the remainder of England's attack.
Samad was eventually lbw to Panesar before Mulla's 60-ball innings with one six and seven fours ended when he was stumped by wicket-keeper Paul Nixon off medium-pacer Ravi Bopara.
England's Ed Joyce top-scored with 66 while Paul Collingwood finished on 62 not out off 48 balls with one six and four fours.
Former Guyana left-armer spinner Sunil Dhaniram, now a fork-lift truck driver, took three wickets for seven runs in 11 balls as England declined from 153 for one to 161 for four.
However, a fifth wicket stand of 81 between Collingwood and Bopara, who made 29 on his World Cup debut and in only his second match at this level, revived England's innings.
Nixon added late impetus with a dynamic 23 not out off just eight balls including a straight six off the last ball of the innings from former West Indies fast bowler Anderson Cummins.
Dhaniram, 38, removed Ian Bell (28), Joyce and dangerman Kevin Pietersen (five) on his way to figures of three for 41 from his full 10 overs.
Aussies thrash Dutch
Brad Hodge hit a maiden one-day hundred and Michael Clarke scored an unbeaten half-century to help Australia achieve a thumping 229-run World Cup win over Netherlands on Sunday.
Australian middle-order batsman Hodge scored 123 and shared an invaluable 204-run fourth wicket stand with Michael Clarke (93 not out) to help Australia reach 358-5 after electing to bat.
The Netherlands were then unable to cope with the Australian bowling attack and were dismissed for 129 in 26.5 overs. Dan van Bunge topscored with 33, while Darron Reekers (25) and Peter Borren (24) were other notable scorers.
Left-arm spinner Brad Hogg was the pick of Australian bowlers with 4-27.
Paceman Glenn McGrath finished with 2-33, to complete fifty wickets in the World Cup.
The 37-year-old paceman now need another six wickets to overhaul Pakistani Wasim Akram's World Cup best of 55.
Left-arm paceman Nathan Bracken finished with 2-33 to seal an emphatic win for Australia.
Australia owed their total to Hodge who was finally dismissed by Peter Borren.
He hit eight boundaries and seven sixes during his enterprising 89-ball knock.
Clarke missed his hundred by seven runs, hitting six boundaries and three towering sixes during his 85-ball knock.
Australia looked to be in a bit of bother for a brief spell when they lost opener Matthew Hayden (29), Adam Gilchrist (57) and skipper Ricky Ponting (23) to be at 116-3 in the 21st over.
The Dutch attack bowled a better line and length than they did against South Africa who piled up 353-3 in 40 overs on Friday.
But their fielding left a lot to be desired as they dropped two chances off Hodge and two off Clarke, to allow the pair to score 130 runs in the final 10 overs.
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