<ol>
<li>There are 12 men on a basketball team, and in a game 5 of them play at any one time. If the game is 1 hour long, and if each man plays exactly the same amount of time, how many minutes does each man play?</li>
</ol>
<p>Answer: 25min</p>
<ol>
<li>If the rent on an apartment goes up 10% every year, next year's rent will be how many times last year's rent?</li>
</ol>
<p>Answer: 1.21</p>
<ol>
<li>When 25 students took a quiz, the grades they earned ranged from 2 to 10. If exactly 22 of them passed, by earning a grade of 7 or higher, what is teh highest possible average the class could have earned on the quiz?</li>
</ol>
<p>Answer: 9.36</p>
<ol>
<li>We need to get the HIGHEST possible average
-25 students took the test.
-22 passed (we’ll say they all got 10s so we get the highest value) 22<em>10 = 220
-3 failed…BUT the scores range from 2 to 10. So AT LEAST 1 PERSON needs to get a 2
So, add 2 to 220: 220+2 = 222. Now we have 2 students left (22 got 10s, 1 got a 2).
-So, to get the highest class average, they need to barely fail…so the last 2 students need to get 6s: 222+6</em>2=234</li>
</ol>
<p>228/25 students = 9.36.</p>
<p>1) OK, 12 men play for 1 hour. If only 1 man can play at once, then each must take 5 minutes because each of the 12 men spend 5 minutes. 12 * 5 = 60 minutes
However, the question says that 5 men can play at once. Simply multiply the 5 minutes by 5 because 5 times the amount of people occupy the court at ONE time – 5 times the amount of work is done (in this case, the work is spending time on the court)</p>
<p>Don’t over-think problems like these on the SAT. </p>
<p>2) If something goes up 10%, it goes from 100% to 110%. You multiply it by 1.1. To go backwards (going from something that you raised 10% back to the original amount), you DIVIDE by 1.1.</p>
<p>You start at 100% (1.0). That is, it is 100% (1.0) right now.
Last year it was 1/1.1 = X (some number less than 1.0)
Next year it will be 1*1.1 = Y (some number greater than 1.0)</p>
<p>Y/X = 1.21. This is next year. To go back to the original amount last year (2 years before next year), you divide by 1.1 twice
1.21 / 1.1 / 1.1 = 1.0</p>
<p>One year after next year it will be (1.21 * 1.1) times the amount a year ago.
Two years after next year it will be (1.21 * 1.1 * 1.1) times the amount a year ago.
etc…</p>