There is the so-called [FCI test][1].
It contains a list of questions such that anyone who can speak will have an opinion.
Based on the answers one can determine if the person knows elementary mechanics.
I learned about this test from the [lecture of Eric Mazur][2], which is an interesting lecture,
and it describes an application of such a list.

It seems that there are no analogous tests in mathematics.
Or did I miss something?

Sergei Tabachnikov shared a couple of questions that might work:

 * One needs to peel potato. What is faster and why: peeling a pound of large or small potatoes?

 * Why does the reflection in the mirror interchanges left and right, but not up and down?

 * Two persons are walking down an escalator (that is moving down), counting their steps.
Who will count more steps, the one who is moving faster or slower?

>Could you share more questions of this type; please make one question per answer.


  [1]: https://en.wikipedia.org/wiki/Force_Concept_Inventory
  [2]: https://www.youtube.com/watch?v=WwslBPj8GgI