Try these:

• “How do you define marketing?” A strong candidate will talk about more than just tactics (such as posters, ads, or PR). Hire the candidate that understands the importance of gaining customer input, monitoring the competition and allocating resources effectively to achieve all your marketing goals.
• “Where do you feel marketing fits in a mission-driven organization—compared to a for-profit company?” A good candidate will appreciate the importance of marketing for both types of organizations.
• “How would you define our organization’s mission?” The answer will tell you if the candidate has done his or her homework.
• “As a member of the marketing team, how do you see your role in relation to artistic management, development, box office and other operations?” You want a team player who can work effectively with everyone in your organization.
• “Tell me about your experience with market research.” A good candidate will understand the process of acquiring, interpreting, and presenting customer data in a meaningful way. Ask how the candidate would segment your audience and how marketing should address subscribers versus new customers.
• “What marketing skills do you bring to the organization?” You need people with hard skills and experience producing direct mail campaigns, managing databases, handling press relations, and performing other key functions.