Arithmetic modeling of a multilevel escape room

The acceptance of educational escape rooms as active evaluation tools is growing throughout the educational field, covering all areas and levels. In this paper, a multilevel educational escape room has been proposed, which is composed of a series of independent levels, such that each level has to be completed prior to taking up the next one. This specific layout allows instructors to allocate a given part of a course syllabus to each level, where a series of tests composed of randomly-selected questions must be taken in order to move along each level according to the scores obtained. A model for this type of escape room layout has been designed in order to find out the shortest possible time to complete it, considering a curvilinear relationship between the time spent in a test and the score obtained. Additionally, the verification of this model has been carried out by means of arithmetic calculations, as well as with a handcrafted algorithm coded in a programming language called Promela, which was run in a specific verification tool called Spin.