Types of Items
On the new SAT, numbers & operations items
are one of four basic types:
 Math Head
 Supermath Head
 Numbers Game
 The Real World
Here’s a brief description of each type:
Math Head
With these items, you have to demonstrate your ability
to deal with numbers and apply your knowledge of the order of operations.
Solving these items simply requires knowing the fundamentals of
numbers & operations, which were provided in the previous section.


3. 
If , what is the value of x? 
 (A) 

 (B) 

 (C) 

 (D) 

 (E) 


In this example, all the information is there in the stem,
and all you need to do is solve for x. However,
SAT writers try to make Math Head items more convoluted by misleading
you through sets of parentheses, complicated numbers, and puzzling
answer choices. Luckily, you’ve just learned all the key concepts
that SAT numbers & operations tests, so you should have no problem
with these items.
Supermath Head
Think of these items as requiring several complex
number operations. They’re like Math Head items on steroids. Supermath
Head items do their darnedest to test your knowledge of formulas
and concepts, especially some of the lesser known ones. But you’ll
do just fine if you study and practice the essential concepts presented
in this book. Here’s an example:


18. 
1024
is divisible by 2^{n}. What is the greatest
possible value for n? 
 (A) 
6 
 (B) 
7 
 (C) 
8 
 (D) 
9 
 (E) 
10 

Numbers Game
Numbers Game items test your understanding of pure numbers
operations. These items cover the properties of positive, negative,
even, odd, and prime numbers. Check this out:


7. 
If n and r are
positive integers and (n + r)n is even, which
of the following MUST be false? 
 (A) 
If n is odd, then r is
odd. 
 (B) 
If n is odd, then r is
even. 
 (C) 
If n is even, then r is
even. 
 (D) 
If n is even, then r is
odd. 
 (E) 
If n is zero, r must
be even. 

The Real World
These items create realworld scenarios to test your knowledge
of numbers & operations. You have to find ratios, percents,
and numbers of people in sets. To solve these items, you have to
translate the reallife scenario into an equation or an expression,
as in this sample item:


7. 
Experts
say that of 300 mushrooms, 25% are poisonous, and of all poisonous
mushrooms, 80% are fatal. How many mushrooms are fatally poisonous? 
 (A) 
80 
 (B) 
75 
 (C) 
60 
 (D) 
100 
 (E) 
275 
