Preheat oven to 450º. Wash and pat turkey dry. Place turkey on a cutting board lined with paper towels, breast side down.
Using kitchen shears, cut out the backbone of the turkey. Place turkey breast side up. Using a cast-iron skillet, press on the breastbone until the breast is flattened. Tuck ends of wings under the breastbone.
Place the turkey on a rimmed baking sheet with a rack. Rub olive oil over the skin and season with salt, pepper and smoked paprika.
Place in the oven for 5-6 minutes per pound or until an internal temperate of 165º is reached in the breast.
A 10 lb. turkey will cook in one hour, an 11 lb. turkey will cook in an hour and 10 minutes and a 12 lb. turkey will be done in an hour and 20 minutes.
Remove from oven and cover loosely with aluminum foil. Let rest 15 minutes before slicing.