<p>I'm testing out some SAT problems I made for various nefarious purposes. Please try them and let me know what you think.</p>
<ol>
<li>If p is a prime number, then how many factors does p^3 have?</li>
</ol>
<p>a) 1
b) 2
c) 4
d) p/2
e) p</p>
<ol>
<li><p>The volume of a particular cube is numerically equal to the area of its faces. What is the length of one edge of the cube?</p></li>
<li><p>Suppose that m and n are positive integers such that mn > 15. What is the least value of mn that makes 15mn a perfect square?</p></li>
<li><p>If x% of y is z, then z is what percent of xy?</p></li>
<li><p>If a and b are real numbers and (a-4)(b+6)=0, then what is the smallest possible value of a^2 + b^2?</p></li>
<li><p>Let smurf(x) = (x+3) / (x-1) for any x other than 1. Which of the following is equivalent to 1 / (smurf(x) - 1) ?</p></li>
</ol>
<p>a) (x-1) / (x+2)
b) (x-4) / 4
c) (x-1) / (2x+4)
d) (x-1) / (x+3)
e) x-2</p>
<p>Answers tomorrow although I'm sure it won't be necessary to post them :)</p>