Pakistan and South Africa also progressed to the Super Six, alongside Bangladesh, from Group B.
Meanwhile in Group A, India, Sri Lanka and Ireland went through to the Super Six. Among these six teams, the semi-finalists will qualify for the World Cup, scheduled to be held in England in June.
Bangladesh captain Rumana Ahmed won the toss and elected to bat first, putting 100 runs on the board losing all their wickets in 46.5 overs. It was a frustrating batting display from Bangladesh as only three players reached double figures.
Rumana was the top-scorer with 39 off 93 balls while Salma Khatun scored 16 from 57 deliveries. Shabnim Ismail and Sune Luus took three wickets each for the Proteas women.
South Africa chased down the target in 25.2 overs loosing four wickets. Lizelle Lee was the highest scorer with 34 off 32 balls.
Jahanara Alam, Suraiya Azmin, Rumana Ahmed and Salma Khatun took one wicket apiece.
100 all out in 46.5 overs
(Rumana 39, Salma 16; Ismail 3-14)
South Africa women
101 for four in 25.2 overs
(Lee 34, Woolvaardt 30; Salma 1-14)
South Africa women won by six wickets
POINTS TABLE GROUP B
M W L Pts
3 3 0 6
3 2 1 4
4 2 2 4
3 1 2 2
3 0 3 0