The cross-section ratio Rb=σ(e+e−→bb¯¯¯)/σ(e+e−→qq¯) and the bottom and charm forward-backward asymmetries AbFB and AcFB are measured using event samples collected by the OPAL detector at centre-of-mass energies between 130 and 189 GeV. Events with bottom quark production are selected with a secondary vertex tag, and a hemisphere charge algorithm is used to extract AbFB. In addition, the bottom and charm asymmetries are measured using leptons from semileptonic decays of heavy hadrons and pions from D∗+→D0π+ decays. The results are in agreement with the Standard Model predictions.