There are many different free quiz-making websites available as of 2015, such as Qzzr, Quizbean, Online Quiz Creator and Poll Maker. Sites such as Quizstar allow teachers to make quizzes for students.
Qzzr and other sites like it are free to use, but they also offer subscription premium plans that unlock more features of the sites. Many quiz sites are completely free to use, so look at what the site offers for free before deciding which one to use. Some quiz sites may offer features that focus purely on entertainment purposes, while others may offer features meant for teachers and students to use for educational purposes.