Well It turns out, unsurprisingly, that it’s nothing to do with the type of mind you have, there is probably a more straight forward reason.
There is a theory called Prototype theory, which says that in learning a word, we are taught (or discover for ourselves) a single or sometimes a couple of primary exemplars of the set of things the word refers to. When we learn the word "bird" we pick out robins, for instance, as exemplars of the set of birds with other birds deviating from it to varying degrees and in varying ways. Close to it would be cardinals and sparrows. Further away would be seagulls. At the remotest end would be penguins, perhaps.In the specific case of this thread, the mathematical questions are there to try and clear your mind before asking about the tool and colour, meaning that you are more likely to come up with prototypical examples. The colour “red” and the tool “hammer” are each likely to be one of the first and most common examples of tool and colour you would have come across as a child. Therefore, prototype theory suggests, they are the ones you are most likely to produce when asked to do so as quickly as possible.
What the "red hammer" test proves is that "red" is the paradigmatic color for people (and not just for English speaking people) and "hammer" is the paradigmatic kind of tool. So, those who see the "red hammer" test as separating out two types of “minds” are being conned.