We have determined the cross section for elastic K+π-→K+π-, and charge exchange, K+π-→K0π0, scattering using the Chew-Low extrapolation method, for Kπ masses up to 1.35 GeV. This has been achieved by using 3026 events of the type K+p→K+π-N* (1236) and 1246events of the type K+p→K0π0N* (1236) obtained in bubble chamber exposures at CERN. The cross section exhibits the known K* (892) resonance shape. A similar study for the K+π+→K+π+ elastic scattering has been attempted. The partial wave expansion coefficients up to 〈Y40〉 (without off-shell correction) have been studied as a function of the Kπ masses. © 1969.