With reference to Kubinger (2023a) and his six categories of reasoning tests this paper suggests a test conceptualization as concerns the fluid facet and numerical contents. Basically it meets the concept of a (mathematical) topology, dealing with the (de-) formation of geometric objects in metric spaces. Each item contains three two-dimensional tableaus where several figures (numbers) are arranged in a structural way with respect to their (absolute and with reference to their mutual relative) location and orientation. In the right tableau, at a specific position a figure (number) is missing which has to be deduced (and finally filled in) by discovering the underlying regularities and logically compelling connections of the figures (numbers) over all three tableaus. A first draft of the test Numerical Topologies with two times 32 items has been psychometrically analyzed. Actually, the Rasch model holds a-posteriori, that is after deleting a few items – retrospectively their misfits can be elucidated by construction flaws. In the second instant by means of LLTM (linear logistic test model) it could be proven that the hypothesized elementary cognitive operation components and item generating rules, respectively, do indeed explain the items’ difficulties in a sufficient manner.