Police find car of missing Queensland mum

An abandoned vehicle belonging to missing central Queensland mum Hannah Cook has been found by police.

Police said officers located the car on Tuesday about 30km west of the 24-year-old's hometown of Calliope, near Gladstone.

Ms Cook was last seen in the Gladstone CBD about 9am on Monday after she dropped her child off at school.

She is described as being about 172cm tall with a slim build, long, dark brown hair and brown eyes.