The same name can refer to two territorial levels.
Stadtteil Hemelingen is the larger unit. Ortsteil Hemelingen means one part of it. Someone living in Hastedt also lives in Hemelingen district, even though the neighbourhood has a different name. The five neighbourhood names are not five separate federal states.
The local office connects residents and politics and supports the advisory council’s information rights. The Beirat is the local political representative body; the Ortsamt is the administrative office. These local terms therefore do not identify the same institution.

The other three answers
The other names belong to other cities.
Altona
Altona is a borough of Hamburg. Being in northern Germany does not make it a district of Bremen.
Pankow
Pankow belongs to Berlin. There is both a borough and a neighbourhood of that name there; both are distinct from Hemelingen in Bremen.
Babelsberg
Babelsberg is in Potsdam. This area of Potsdam is not part of the city of Bremen.
District is a translation, not one uniform administrative level.
The English question uses district for Stadtteil. Elsewhere, the same English word may translate Bezirk or Landkreis. Always check the particular city and German term rather than assuming identical English words mean identical administrative units.
The question refers to the city of Bremen, not every municipality in the federal state. Bremerhaven is the state’s second municipality and is not a neighbourhood of Hemelingen. The clear association of Hemelingen with the city of Bremen is sufficient for the answer.
District and its five neighbourhoods · Hemelingen local office ↗Hemelingen belongs to Bremen; Hastedt belongs to Hemelingen district.
The district contains five neighbourhoods, including one with the same name.
Three words for this question
- der Stadtteilcity district
- A part of the city; Hemelingen contains several neighbourhoods.
- der Ortsteilneighbourhood
- Here, a smaller territorial unit within the district.
- das Ortsamtlocal administrative office
- The local administrative office serving the district.
