Methods and Apparatus to increase the efficiency of roll-forming and leveling systems are described herein. An example strip material processing apparatus includes a first drive system to drive an exit workroll at an exit of the strip material processing apparatus, and a second drive system to drive an entry workroll at an entry of the strip material processing apparatus, where the strip material is to travel through the strip material processing apparatus from the entry to the exit. The example strip material processing apparatus also includes a controller to provide a first command reference to the first drive system to drive the exit workroll at the first command reference. The controller is to determine a first torque value of the first drive system when the first drive system operates at the first command reference, and the controller is to determine a second torque value based on a ratio of the first torque value to the second torque value such that the first torque value and the second torque value are different. The controller is to also drive the entry workroll via the second drive system to maintain the ratio.