Final answer:
Shirley Temple was a beloved child star of the 1930s known for her singing and dancing in numerous films, providing joy and entertainment during the Great Depression.
Step-by-step explanation:
The popular child star of the 1930s who sang and danced was Shirley Temple. Known for her youthful charm and ability to entertain during the Great Depression, Shirley Temple became an icon of hope and happiness for many Americans during challenging times. Her films often included musical numbers which showcased her singing and tap dancing talents, making her a beloved figure in the entertainment industry.