To thoroughly assess Team Health in the areas of Composition and Skills, Morale and Engagement, and Performance and Productivity, consider asking the following questions:

Composition and Skills

1. How is the current team structured in terms of roles and responsibilities?
2. Are there any critical skills or roles missing in the team?
3. How do team members rate their proficiency in the technologies we use?
4. What is the current process for identifying and addressing skill gaps?
5. How does the team keep up with new technologies and industry trends?
6. What training or professional development opportunities are available to the team?
7. How is workload distributed among team members? Is it balanced?
8. What mechanisms are in place for cross-training and skill sharing within the team?
9. How are new team members onboarded and integrated into the team?
10. What is the ratio of junior to senior staff, and how does it affect the team dynamics?

Morale and Engagement

1. What motivates the team to come to work each day?
2. How would team members describe the team culture and work environment?
3. Are team members satisfied with their roles and responsibilities?
4. How does the team deal with stress and work pressure?
5. What are the main factors that affect morale negatively in the team?
6. How open are team members to expressing concerns or challenges they face?
7. What recognition or rewards systems are in place for acknowledging team achievements?
8. How does the team celebrate successes or milestones?
9. What opportunities do team members have for growth and advancement?
10. How involved are team members in decision-making processes that affect their work?

Performance and Productivity

1. How is individual and team performance currently measured?
2. Are there any consistent productivity challenges the team faces?
3. What tools or systems are in place to track project progress and deadlines?
4. How does the team prioritize and manage workload?
5. What processes are in place for setting and reviewing performance goals?
6. How often are performance reviews conducted, and what do they entail?
7. What feedback mechanism is in place for continuous performance improvement?
8. How does the team manage distractions and time management issues?
9. What measures are taken to ensure that productivity tools and processes are effective?
10. How are high-performing team members identified and nurtured?

These questions are designed to uncover insights into the team's operational dynamics, strengths, areas for improvement, and the overall health of the team from different perspectives.