Within the QCD factorization approach, we calculate the branching fractions and CP asymmetry parameters of 12 B -> K-0*(1430)K(*) decay modes under the assumption that the scalar meson K-0*(1430) is the first excited state or the lowest-lying ground state in the quark model. We find that the decay modes with the scalar meson emitted have large branching fractions due to the enhancement of the large chiral factor r(chi)(0)(K)*. The branching fractions of decays with the vector meson emitted become much smaller owing to the smaller factor r(chi)(K*). Moreover, the annihilation-type diagram will induce large uncertainties because of the extra free parameters dealing with the end-point singularity. For the pure annihilation-type decays, our predictions are smaller than those from the perturbative QCD approach by 2-3 orders of magnitude. These results will be tested by the ongoing LHCb experiment, forthcoming Belle-II experiment and the proposing circular electron-positron collider.