Is your child bored in school because the work is too easy? Is she reading well beyond the level of other kids her age? If so, you may want to find out whether your child is academically gifted.
Some children exhibit signs of exceptional intellectual ability at a young age, but most aren't recognized until they begin school. So how can you tell?

Signs of giftedness in a 5- to 8-year-old

Your child may be gifted if she

¤Thinks abstractly – that is, she grasps advanced mathematical and linguistic concepts and can talk about such complex issues as ethics, morality, and religion

¤Has a specific talent, such as the ability to perform mathematical calculations in her head or understand concepts like
multiplication before they’re taught in school

¤Is able to concentrate intently on one activity for long periods of time

¤Has a large vocabulary and understands words not typically used by her peers

¤Is a leader who often organizes group activities, such as initiating games with other children

¤Is confident in her accomplishments and ideas

¤Performs well academically
Is creative and loves to tell stories, draw, or compose songs

¤Has a sense of humor and appreciates wit

¤Prefers to spend time with older children and adults

¤Performs academic work that is significantly ahead of her grade level

¤Is sensitive to other people's feelings

¤Memorizes facts easily and can recall them and relate them at appropriate times

Source: http://babycenter.com/0_how-to-tell-if-your-school-age-child-is-gifted_67438.bc