The girl was struck at around 4.30pm on Cambusnethan Street, near the roundabout with Kirk Road on April 19.
She was later taken to Wishaw General Hospital where she received treatment for facial injuries.
Police are now looking for witnesses to the incident, which involved a silver three door Vauxhall Corsa hatchback which failed to stop at the scene.
Constable Paul Taylor said: “We are appealing for anyone who may have witnessed this collision and is yet to speak to officers to please get in touch.
“In particular, we would ask people with private CCTV or dashcam footage of the surrounding area on the afternoon of Friday, 19 April, to check in case they have captured a silver Vauxhall Corsa.
“Anyone with information is asked to contact Police Scotland on 101, quoting incident number 2562 of Friday, April 19, 2024.”
