Until now, a high-efficiency demodulation method for fiber Bragg grating (FBG) sensors has been a challenge. In this Letter, by employing multi-peak FBGs, an FBG sensor with a partial wavelength scan is proposed and initially demonstrated. By demodulating a near-symmetrical multi-peak FBG and an asymmetrical multi-peak FBG in the strain experiment, sensor sensitivities of 1.02 pm/με and 1.01 pm/με are measured for the interrogation system, respectively. The average demodulation deviations for the two sensors are 1.81% and 0.4%, respectively. The proposed method is expected to realize high-efficiency and low-cost FBG interrogators.