Conformal invariance and conserved quantities for the nonholonomic system of Che- taev' s type with variable mass were studied. The conformal factor expressions were deduced. The necessary and sufficient conditions that the system' s conformal invariance would be Lie symmetry were obtained. The conformal invariance of weak and strong Lie symmetry for the system was given. And the system' s corresponding conserved quantities were derived. Lastly, an examp...