Prehistoric.
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Belgrade's largest and oldest museum, founded on 10 May 1844, in a grand building on Republic Square that was built in 1902–1903 for a financial institution. The museum moved in and opened there in 1952. Its collections have grown to more than 400,000 objects, from prehistoric finds of the Danube basin to Roman and medieval treasures and manuscripts, along with a collection of European and Serbian art that includes works by major painters. The museum closed in 2003 for reconstruction, which dragged on for many years before it welcomed visitors again. The building itself is a protected cultural monument, with green domes and an ornate facade on the square. The permanent exhibition costs RSD 300 and entry is free on Sundays; it is open Tuesday, Wednesday, Friday and Sunday 10:00–18:00, Thursday and Saturday 12:00–20:00, and closed on Mondays, per the museum's official site.
Prehistoric.
And Serbian.
On Republic Square.
Republic Square 1a, Belgrade
Knez Mihailova StreetBelgrade's main pedestrian and shopping street, running about a kilometre from R3 minutes walk4.9
SkadarlijaBelgrade's famous bohemian quarter, often compared to Montmartre in Paris, centr5 minutes walk
Bajrakli MosqueThe only mosque left in Belgrade out of the 273 the city had in Ottoman times. B8 minutes walk4.8
Belgrade Fortress and Kalemegdan ParkThe historic heart of Belgrade, a vast fortress on the end of a 125.5-metre ridg14 minutes walk4.9
Nikola Tesla MuseumA science museum devoted to the life and work of the inventor Nikola Tesla, in a19 minutes walk3.9Yes, entry is free on Sundays; otherwise the permanent exhibition is RSD 300, per the museum.