What is the difference between intelligence and wisdom in the Buddha's teaching? What is the Pali/Sanskrit term(s) for 'intelligence'? Is there another word(s) in Pali/Sanskrit for 'wisdom'? I hear 'intellect', 'intelligence' and 'wisdom' used interchangeably, is this correct? What is the relationship between intelligence and wisdom in Buddhism? Are they really the same thing or can they be the same thing or what? :)
In Mahayana, intelligence and wisdom are not used interchangeably. Wisdom has various meanings, depending on the context. The issue is that different Tibetan words are translated 'wisdom.' I assume these Tibetan words correspond to different Sanskrit words as well.

In the Abhidharma, it says:


  QUESTION: What is wisdom (shes rab)?
  
  RESPONSE: It strongly
  differentiates the qualities of things that are to be examined. It has
  the function of overcoming doubt. Just as it has been said above,
  wisdom is a knower that individually differentiates the faults and
  good qualities of things that are to be examined.


However, wisdom (yeshe) refers to the cognizer realizing emptiness. There are also three types of wisdoms:


  There are three types of wisdom: the wisdom arisen from hearing, the
  wisdom arisen from thinking, and the wisdom arisen from meditation.


The wisdom arisen from analytical meditation on emptiness is yeshe. It is the one we refer to when we speak of the higher training in wisdom. Or when we speak of cultivating the perfection of wisdom.

Intelligence refers to a mental factor that a student must have. It resembles shes rab.
In the Middle Length Lam Rim, Tsongkhapa says:


  Someone to whom good ways of explaining appear as faulty ones, due to
  not having the intelligence to distinguish them, is not a suitable
  vessel. Therefore one needs to have the intelligence that understands
  [what is to be abandoned, and what is to be adopted].