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The ZnO/MgO solid samples containing the ZnO nanoparticles of controllable size were prepared using colloidal technique. The catalytic performance of the ZnO/MgO samples for the CO oxidation was measured. It was revealed that the rate of the CO oxidation reaction on the ZnO nanoparticles with variable average radius (2.01 - 2.29 nm) shows nonmonotonic dependence caused by the quantum-confinement effect.