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Strategies to help maximize your marks.
    Math Workout for the New SAT – The Princeton Review.
Helpful Hints
This isn’t the kind of test you get in math
class at school.

You need special techniques for handling
SAT problems.

If you do the SAT math problems like you
would do in class, you waste time and
throw away points.
Sections of the test
There are 3 sections to the Math test.

1. 20 question Problem-Solving (m.c)
2. 10 Problem-Solving (m.c), 10 Grid-in
3. 15 Problem-Solving (m.c)


Questions in each section are arranged in
an special order of difficulty.
Pacing
Almost everyone works too fast on SAT tests! The test
is designed NOT to be completed!

You will hurt your score by working too fast.

If you miss about 5 or 6 questions in each section, you
are probably about the right pace.

If you are NOT missing any questions but are NOT
finishing, then guess more aggressively and work
faster.
Pacing
                         10 Q. Problem- Solving
20 Q. Problem- Solving
                         10. Grid-In

Question Difficulty      Question      Difficulty
Q. 15-20   HARD          Q. 18-20      HARD
Q. 7-14    MEDIUM        Q. 14-17      MEDIUM
Q. 1-6     EASY          Q. 11-13      EASY
                         Q. 8-10       HARD
                         Q. 4-7        MEDIUM
15Q. Problem- Solving    Q. 1-3        EASY
Question   Difficulty
Q. 11-15   HARD
Q. 6-10    MEDIUM
Q. 1-5     EASY
Scoring
1 Point each correct answer

0.25 Point each wrong answer

Blank questions lose no points
Calculators
Calculators can only calculate, they cant think!
       THNINK BEFORE YOU PUNCH

Tips to Calculator Happiness:

   Use a calculator that follows order of operations.

   Estimate your answer first.

   Check each number after you punch it in.
Careless Mistakes
Some common mistakes to watch for:

   Misreading the question
   Computation error
   Punching the wrong thing on the calculator
   Failing to estimate first
   Answering a different question than the
    one being asked
   On a medium-hard question, stopping too
    soon when you may be almost there.
Strategies
Guessing
If you come across a question you get
stuck on. Should you leave it?

               NO
Not if you can cross out a WRONG choice.
When do I guess?
Always be aware of where you are in the test.
    Easy Questions – easy answers
    Hard questions – hard answers
Good guess
 Geometry drawn to scale, where you can approximate
  length or area.
 Any Grid-in you have an answer for.


Bad Guess
   Obvious answers on hard questions
   Long, complicated word problems
   Questions you don’t have time to read.
Plugging In
One of the most powerful strategies on the SAT’s.
The idea of taking all the variables – like x, y, z
In the question and replacing them with actual
numbers.

You don’t have to generate the answer yourself. It
allows you to check which of the answers is the
correct one.
This turns an algebra problem into simple
arithmetic!
How do I know when to Use Plugging In?
   The question will be straight forward.
    e.g. How old is Bob?, or How many
    potatoes in the bag?

   There are variables in the answer choices.

      The question says something like
            “in terms of x”

   The question asks for a percentage or
    fractional part of something, but doesn’t
    give you actual amounts.
Tips for Plugging-In Happiness
   Pick easy numbers like 2, 10, 100 etc
    Avoid picking 0, 1 or any number that is one of
    the answers.

   If your chosen number leads to UGLY
    computations, then bail out and pick an
    easier number.

   The answers are in numerical order, so you
    may be able to eliminate answers that are too
    big or too small. If the answer to © was too
    small, then try the bigger answer choices.
Plugging-In Example
Jill spent x dollars on toys and 12 dollars on socks. If the
amount Jill spent was twice the amount she earns in a week,
how much does Jill earn each week in terms of x?

a)   2(x + 12)
b)   2x + 24
c)   (x/2) + 12
d)   (x+12)/2

Solution: Lets plug in 100 for x. That means that Jill spent a total
of $112. If that was twice her weekly salary, then she makes
half of $112, or $56.

Now plug in 100 to see which answer gives us $56.
Practice Quiz
EASY
If p is an odd number, which of the following
must also be an odd number?
a) p + 1
b) p / 2
c) p + 2
d) 2p
e) p -1

Answer – C. Lets make p = 3 and try in the
answer choices.
Medium

If y / 3 = 6x, then in terms of y, x = ?

a)   3y
b)   2y
c)   y
d)   y/2
e)   y / 18

Answer: E. Plug in y = 36, which makes x = 2. Now
plug y = 36 into the answer choices.

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Test help for SAT mathematics

  • 1. Strategies to help maximize your marks. Math Workout for the New SAT – The Princeton Review.
  • 2. Helpful Hints This isn’t the kind of test you get in math class at school. You need special techniques for handling SAT problems. If you do the SAT math problems like you would do in class, you waste time and throw away points.
  • 3. Sections of the test There are 3 sections to the Math test. 1. 20 question Problem-Solving (m.c) 2. 10 Problem-Solving (m.c), 10 Grid-in 3. 15 Problem-Solving (m.c) Questions in each section are arranged in an special order of difficulty.
  • 4. Pacing Almost everyone works too fast on SAT tests! The test is designed NOT to be completed! You will hurt your score by working too fast. If you miss about 5 or 6 questions in each section, you are probably about the right pace. If you are NOT missing any questions but are NOT finishing, then guess more aggressively and work faster.
  • 5. Pacing 10 Q. Problem- Solving 20 Q. Problem- Solving 10. Grid-In Question Difficulty Question Difficulty Q. 15-20 HARD Q. 18-20 HARD Q. 7-14 MEDIUM Q. 14-17 MEDIUM Q. 1-6 EASY Q. 11-13 EASY Q. 8-10 HARD Q. 4-7 MEDIUM 15Q. Problem- Solving Q. 1-3 EASY Question Difficulty Q. 11-15 HARD Q. 6-10 MEDIUM Q. 1-5 EASY
  • 6. Scoring 1 Point each correct answer 0.25 Point each wrong answer Blank questions lose no points
  • 7. Calculators Calculators can only calculate, they cant think! THNINK BEFORE YOU PUNCH Tips to Calculator Happiness:  Use a calculator that follows order of operations.  Estimate your answer first.  Check each number after you punch it in.
  • 8. Careless Mistakes Some common mistakes to watch for:  Misreading the question  Computation error  Punching the wrong thing on the calculator  Failing to estimate first  Answering a different question than the one being asked  On a medium-hard question, stopping too soon when you may be almost there.
  • 9. Strategies Guessing If you come across a question you get stuck on. Should you leave it? NO Not if you can cross out a WRONG choice.
  • 10. When do I guess? Always be aware of where you are in the test. Easy Questions – easy answers Hard questions – hard answers Good guess  Geometry drawn to scale, where you can approximate length or area.  Any Grid-in you have an answer for. Bad Guess  Obvious answers on hard questions  Long, complicated word problems  Questions you don’t have time to read.
  • 11. Plugging In One of the most powerful strategies on the SAT’s. The idea of taking all the variables – like x, y, z In the question and replacing them with actual numbers. You don’t have to generate the answer yourself. It allows you to check which of the answers is the correct one. This turns an algebra problem into simple arithmetic!
  • 12. How do I know when to Use Plugging In?  The question will be straight forward. e.g. How old is Bob?, or How many potatoes in the bag?  There are variables in the answer choices.  The question says something like “in terms of x”  The question asks for a percentage or fractional part of something, but doesn’t give you actual amounts.
  • 13. Tips for Plugging-In Happiness  Pick easy numbers like 2, 10, 100 etc Avoid picking 0, 1 or any number that is one of the answers.  If your chosen number leads to UGLY computations, then bail out and pick an easier number.  The answers are in numerical order, so you may be able to eliminate answers that are too big or too small. If the answer to © was too small, then try the bigger answer choices.
  • 14. Plugging-In Example Jill spent x dollars on toys and 12 dollars on socks. If the amount Jill spent was twice the amount she earns in a week, how much does Jill earn each week in terms of x? a) 2(x + 12) b) 2x + 24 c) (x/2) + 12 d) (x+12)/2 Solution: Lets plug in 100 for x. That means that Jill spent a total of $112. If that was twice her weekly salary, then she makes half of $112, or $56. Now plug in 100 to see which answer gives us $56.
  • 15. Practice Quiz EASY If p is an odd number, which of the following must also be an odd number? a) p + 1 b) p / 2 c) p + 2 d) 2p e) p -1 Answer – C. Lets make p = 3 and try in the answer choices.
  • 16. Medium If y / 3 = 6x, then in terms of y, x = ? a) 3y b) 2y c) y d) y/2 e) y / 18 Answer: E. Plug in y = 36, which makes x = 2. Now plug y = 36 into the answer choices.