Haematite served as a replacement at 15, 30, 45 and 60 vol.-% for typical limestone based aggregates. Wear tests were performed on those specimens under 100, 200 and 300 kPa compression. A statistical response surface method (RSM) was used to evaluate the effects of concentration of cement and haematite on wear. The method allows among others optimisation of the haematite content with respect to wear. For a fixed content of cement, RSM tells us to increase the content of haematite to lower wear.