I would be careful with giving him more challenging things that he may not be able to do. You may wind up increasing his frustration level. Gifted children can be very sensitive and are quite frequently very hard on themselves with a tendency towards perfectionism. This site has loads of references on it.
This is a little long, but has some very good points.
These suggestions for parents and teachers are from Dr. Pat Schuler?s 1999 study, Voices of perfectionism: Perfectionistic gifted adolescents in a rural middle school.
Parents
1.Recognize that your gifted adolescent?s intellectual and emotional characteristics are intertwined and influence each other. Understand that the personality trait of perfectionism is influenced by factors in your child?s environment that impact whether or not the manifestations will be healthy or dysfunctional. Know that perfectionism can be a positive motivator or be a cause of stress for your adolescent. Sensitize yourself to your gifted adolescent?s pressures, at home and at school. Talk with your adolescent about what perfectionism means to you and him/her.
2.Understand and appreciate perfectionism as a personality trait that you may have as well as your adolescent. By recognizing the positive and negative aspects of perfectionism, you can help your child or adolescent pursue excellence, by modeling appropriate responses. Point out positive, imperfect role models in the media to help them understand that no one can be perfect.
3.Learn to set priorities in your life ad help your adolescent to do likewise. Help your adolescent to realize that making mistakes is a learning experience. Model acceptance of your mistakes. Ask, ?What did I/you learn from the experience?? Teach the concept of ?constructive failure? whereby future improvement is dependent on present performance.
4.Set high but realistic standards for yourself. Help your adolescent to have high standards for her/himself, but not to expect others to conform to them. Help your adolescent to understand that time, effort, and not giving up will help him/her reach his/her high standards.
5.Help your adolescent understand that intense frustration and the pain of perfectionism can motivate him/her to become problem-solvers, hard workers, and emotionally healthy. Help him/her to understand that negative emotions are not only normal but need to be expressed in healthy ways.
6.Work with your gifted adolescent to improve self-evaluation skills. Emphasize process and improvement rather than perfect products to encourage intrinsic locus of control. Praise efforts not just successes. Help him/her to understand that worth is not based on others? evaluations of work, but that each student is responsible for his/her behaviors and the consequences.
7.Show your adolescent that he/she has inherent dignity and self-worth, which are unconditional. Avoid comparisons with siblings or peers. Teach compassion for those who are less able.
8.Recognize, support, and nurture your adolescent?s interests or passions that bring enjoyment to him or her. Provide time for creative activities and risk taking with safe opportunities to fail. Focus on the joy of discovery, use humor, and have fun with your adolescent.
9.Teach your adolescent that health is important. Don?t let study interfere with eating and sleeping. Encourage relaxation strategies such as creative visualization.
10.Seek professional counseling if your adolescent is unable to act or becomes fearful of rejection.