To assess the suitability for use of composite cements for concrete, the mechanical performance of concrete made with ternary cements containing Portland cement (OPC), blast furnace slag (S) or fly ash (FA) and limestone filler (L) has been compared to predictive models from Eurocode 2. Eight blended cements of different proportions of OPC (from 45% to 65%), S and FA (from 10% to 30%) and L (from 5% to 35%) were selected alongside five reference cements (CEM I 52.5 R HES, CEM II/B-M (L-S) 32.5 R, CEM II/B-M (LL-S-V) 32.5 N, CEM II/B-V 32.5 R and CEM III/A 42.5 N LA). Two types of mixes were produced using constant water to cement (w/c) ratios of 0.45 and 0.55 and cement contents of 340 kg/m³ and 300 kg/m³ respectively. The results indicate that setting time and mechanical properties (compressive and indirect tensile strengths, modulus of elasticity as well as total shrinkage and creep) are mainly proportional to the clinker content and inversely proportional to the limestone filler content. Ternary cements containing slag seem overall to give a better concrete mechanical performance than those containing fly ash. The results show that the predictive models may not be suitable for most tested cements.