Quick setting compositions

A quick setting composition comprising 47.6 to 97.9% by weight of a cement composition;

• 0.6 to 46.1% by weight of powdery slag produced in a course of removing impurities in steel material upon making stainless steel, said powdery slag containing a calcium aluminate compound represented by 12CaO.7Al.sub.2 O.sub.3 as a main ingredient and a ratio of Al.sub.2 O.sub.3 to CaO being within a range from 1.8 to 0.8, a blaine specific surface area for the powdery slag being within a range from 4000 to 8000 cm.sup.2 /g;
• 0.08 to 29.1% by weight of II-type anhydrous gypsum, a blaine specific surface area for the II-type anhydrous gypsum being within a range from 4000 to 8000 cm.sup.2 /g;
• 0.06 to 10.0% by weight of alkali carbonate, said powdery slag, II-type anhydrous gypsum and alkali carbonate forming a quick setting ingredient and a total amount of the quick setting ingredient being 1.9 to 50% by weight of the quick setting composition;
• and 0.1 to 4.8% by weight of a coagulation controlling agent, said coagulation controlling agent including a coagulation retarder and at least one of alkali sulfate and calcium salt, said coagulation retarder being at least one of oxycarboxylic acid and salt thereof and said calcium salt being at least one of calcium carbonate, calcium chloride and calcium hydroxide, a mixing ratio of the coagulation retarder and at least one of the alkali sulfate and calcium salt in the coagulation controlling agent being within a range from 0.25 to 7 parts by weight of the at least one of the alkali sulfate and calcium salt based on 1 part by weight of the coagulation retarder.