It happened near the shops on Moorcroft Road at around 4pm on Tuesday 4 October 2016 when a red car collided with the girl, before leaving the scene without stopping.
The victim suffered a sprained ankle and fracture pelvis as a result of the collision.
Police are appealing to anyone who was in the area at the time and saw the car prior to hitting the girl, or who witnessed the actual collision to contact them.
They are also appealing to the driver to come forward and to anyone else who may have information that could help identify the driver, to contact the police.
Please call North Yorkshire Police on 101, select option 1 and pass information to the Force Control Room.
If you wish to remain anonymous, you can pass information to Crimestoppers on 0800 555 111.
Please quote reference number 12160183490 when passing on information.