Place slips with 1 in a pile, and slips with 0 in a separate pile. Find the ratio of 1s to the total of 1s and 0s to calculate the percentage of the sample that answered yes. If the sample is representative, then this is the percentage of the population that would answer yes to the question. Repeat the procedure, using a different uniformly-distributed digit, for each sensitive question. If more than a few sensitive questions are to be asked, then a method for assigning random digits to each subject for each question is needed.
Spreadsheets can provide random digits quickly.
Since sensitivity of questions is subject dependent, poll the subjects to find what questions they consider sensitive. Then carry out the process to find their responses. If subjects draw a number from a hat, and tell nobody what they drew, then a spreadsheet can assign a random digit to each subject after coins are tossed. This allows multiple questions to be answered while maintaining a uniform distribution of digits as innocuous answers. Find out by assigning a random page to each student in the class, and having them flip a coin to choose a column from the page.