Depending on the nature of their work and the requirements of their occupation, teachers and catering workers need to apply for different kinds of health certificates.

For teachers, they generally need to get a general health certificate, which is applicable to most occupations. However, in some specific areas, a more rigorous medical examination may be required to obtain a teacher's health certificate.

For catering workers, they need a Class A health certificate, which is a medical examination for those working in the catering industry, food factories, canteens, water factories and drinking fountain factories. This is a special kind of health certificate which proves that the catering workers meet the hygiene standard and can engage in the corresponding catering work.

Overall, there are different types of health certificates required for teachers and catering workers. The exact type of health certificate depends on the requirements of their profession and the regulations of their region.