How often is this math concept tested on the SAT?

<p>Stuff with conditional, converse, inverse, contrapositive? ''If p, then q.''? I saw it at the end of section 2 of a Princeton Review practice SAT test, so I am wondering how often it is tested.</p>

<p>I think I’ve only heard about it on the Math II Subject Test, not the SAT Reasoning Math sections.</p>

<p>Oh wow…<em>wonders why I just saw it at the end of a Princeton Review SAT then</em></p>

<p>And I think I’ve seen it early in a Math section in a Barron’s SAT book too…they asked me something like, ‘‘If I made a cake, then I must have had flour…which conclusion must be true?’’ or something like that…</p>

<p>You will never get questions specifically regarding that. The closest you will get will be a question like “All of John’s brothers are swimmers.” “Which of the following CANNOT be true?”</p>

<p>^ Agreed. They don’t really throw weird logic curveballs.</p>

<p>You probably won’t see anything about it, but in case you do: a statement being true implies the contrapositive (and not the converse) is true. That’s pretty much it.</p>

<p>I don’t think they give that on the sat…</p>

<p>It might show up, but not with the terminology. Cortana’s right that it’s <em>occasionally</em> tested, but the question will usually be “which of the following must be true” and the answer will be the contrapositive (or some form of it). </p>

<p>For example:
Q: If x = 3, y < 7. Which of the following must be true?</p>

<p>A: If y = 8, x =/ 3.</p>

<p>Questions testing your knowledge of the contrapositive show up pretty frequently on the SAT. However, you can usually answer these questions without any formal knowledge of the contrapositive by just using common sense. Knowing the contrapositive well will usually ensure that you get these questions correct.</p>