A mathematics education researcher is studying where in high school

mathematics texts it is most effective to insert questions. She wants
to know whether it is better to present questions as motivation before
the text passage, or after the passage. The result may depend on the
type of question asked: simple fact, computation, or word problem.
How many factors are there in the experiment?
1?
2?
3?
4?
5? or..
6?

before, after 2
types of q 3

number of variables 2:

the when is a variable that has two values.

The type of question variable has three values.

Based on the information given, the mathematics education researcher is conducting an experiment to determine the most effective placement of questions in high school mathematics texts. There are two variables in this experiment: the "when" variable and the "type of question" variable.

The "when" variable refers to the placement of the questions and has two possible values: before the text passage or after the text passage. This means that the researcher will have two groups of participants, one where the questions are presented before the text passage and the other where the questions are presented after the text passage.

The "type of question" variable refers to the different types of questions that can be asked: simple fact, computation, or word problem. This variable has three possible values.

To summarize, there are two factors in this experiment: the placement of the questions (before or after the text passage) and the type of question (simple fact, computation, or word problem).