Which word illustrates a child showing advanced abilities?

The term "precocious" is used to describe a child who demonstrates abilities or skills that are advanced for their age. This word suggests that the child exhibits a level of intelligence, talent, or maturity that is typically associated with older individuals. For example, a precocious child might excel academically, show advanced reasoning skills, or have heightened emotional awareness compared to peers.

In contrast, the other options do not convey a sense of advanced ability. "Immature" implies a lack of development or sophistication, "untrained" indicates a lack of skills or knowledge, and "modest" refers to a humble or unassuming demeanor rather than an indication of advanced capabilities. Therefore, "precocious" aptly captures the idea of advanced abilities in a child, making it the correct choice.