My approach to an intro minute is to break it into three parts: history, personal, business (and there is a level of cross over between the three areas).
History: where did you grow up, what was your favorite subject in school, how did you decide to get into this line of business ...
Personal: family trips planned, favorite vacation, how old are your children, what hobbies do you pursue, what did you do last weekend ...
Business: what trends are you seeing, is your business seasonal and why, what do you enjoy about your work ...
By attempting to make sure I have three parts to the introduction, the speaker has a balanced introduction that flows from the past, through the personal, and on to the business. And the transition to the speaker is always their answers to the business questions. The benefit is the speaker is set up for success with an natural flow into their topic.