A portable electronic device, e.g., a mobile communications terminal, PDA or other handheld device, includes a GPS receiver and is configured to conduct non-GPS activities. The GPS receiver is transitioned out of a sleep state to attempt to acquire at least one GPS satellite signal responsive to a selected non-GPS activity of the device. For example, the GPS receiver may be transitioned out of the sleep state to attempt to acquire at least one GPS satellite signal responsive to a first non-GPS activity, and may be left in the sleep state notwithstanding occurrence of a second non-GPS activity. The first non-GPS activity may, for example, be associated with positioning of the device in a more conducive to reception of GPS satellite signals than the second non-GPS activity. For example, the first non-GPS activity may comprise an internet browsing activity, a video presentation activity, a gaming activity and/or a non-hands-free telephony activity.