Alkali activated concrete compositions containing natural pozzolan, ground granulated blast furnace slag, alkali activators such as an alkali hydroxide and an alkali silicate, and optionally fine and coarse aggregates. Alkali activated concretes made therefrom and methods of making such concretes are also specified. The inclusion of ground granulated blast furnace slag provides significantly superior mechanical strength (e.g. compressive strength) to the alkali activated concretes within 12-24 hours of curing at 30-60° C.