Link of the Day
One of the best ways to
improve your SAT essay score is to begin looking for links between ideas. Even though you don’t know what the SAT essay
will be about, it will be broad enough to relate to news articles and books that
you are reading now. Practice looking
for themes in this article
about Iranian hostages who were just recently
released. You should be able to list the
themes: family, politics, government, individuals, beliefs, and many more. As soon as you see an essay question relating
to any of these themes, you can use the facts from this article as an excellent
example in support of your thesis. If
you choose to use this as one of your 5 prepared current events, make a list of
all the facts you can use.
Read the following SAT test
question and then select the correct answer.
read math questions carefully so that you can absorb all the information and
avoid mistakes. Identify the bottom
line, what the question is asking you to find, and assess your options for
reaching that bottom line. Choose the
most efficient method to attack the problem.
When you have an answer, loop back to verify that the answer matches the
bottom line and you have finished all the steps in the problem.
If p percent
of 75 is greater than 75, which of the following must be true?
Assess your Options
: It is often tempting to look down at the answer
choices before you need them, but they could mislead you since most of them are wrong!. You could take numbers that fit each answer
choice and see if they give you a number greater than 75. However, by applying what you know about
percents, you can solve the problem much faster than you can by trying out 5
Attack the Problem
: There are a number of ways to think about
percentages: as percents, decimals, numbers out of a hundred, parts of
wholes…. The list continues. Here is one of the fastest ways to think
about the problem:
If you have one hundred
percent of something, you have all of it.
So 100% of 75 is going to be 75.
If you want a result that is greater than 75, you are going to need more
than 100% of 75. Therefore, p
must be bigger than 100.
Or, if you normally think
about percents in terms of decimals, you know that 50% of something is .5. In order to get a decimal from a percent, you
had to move the decimal twice to the left.
So with 100%: 75 × 1.00 = 75. Try
writing an inequality to find the decimal that you would need in order to get a
number bigger than 75: 75p
75. The p
represents the unknown percent of 75 (remember, "of" means
multiplication in math). If you solve
the inequality, you get p
1. Then you have to move the decimal
back in order to get a percent: p
> 100. Your percent must be bigger
than 100%. This method takes much longer
than the first one, but it proves that the first method is correct. The testers realize that students are not used
to working with percentages greater than 100, so it is a good idea to review
how these work before the test!
: You know what p
must be greater than, so look down at your answer choices.
The correct answer is (A).