Quarry fines and/or limestone powder are used to reduce clinker content in concrete, mortar and other cementitious compositions, typically in combination with one or more pozzolanically active SCMs. Quarry fines and/or limestone powder can replace and/or augment a portion of hydraulic cement binder and/or fine aggregate. Quarry fines and/or limestone powder can advantageously replace a portion of cement binder and fine aggregate, acting as an intermediate that fills a particle size void between the largest cement particles and smallest fine aggregate particles. Supplemental lime can advantageously maintain or enhance balance of calcium ions in the mix water and/or pore solution. Supplemental sulfate can advantageously address sulfate deficiencies caused by high clinker reduction, use of water reducers and/or superplasticers, and SCMs containing aluminates. Such systematic approach to beneficially using quarry fines, limestone powder, SCMs, lime, and sulfate addresses many issues and permits high clinker reduction with similar or increased strength.