SAT Skills Insight
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Next Tests:
6/1
Select a score band
Number and Operations
Skills needed to score in this band
SKILL 1: Solve problems using ideas from basic set theory and basic number theory
SKILL 2: Recognize and apply ratio, proportion, or percent in solving problems
SKILL 3: Use properties of real number operations, ordering, and the zero-product property
SKILL 4: Solve problems involving counting techniques
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1
Solve problems using ideas from basic set theory and basic number theory
Example
set of positive integer factors of 
.
set of positive integer factors of 
.
set of positive integer factors of 
.
, 
, and 
represent three sets of numbers, as defined above. What is the set of numbers that belong to set 
but to neither set 
nor set 
? -
2
Recognize and apply ratio, proportion, or percent in solving problems
ExampleThere are
teachers at a meeting, 
percent of whom are male. Of the male teachers at the meeting, 
percent teach elementary school. How many of the male teachers at the meeting teach elementary school ? -
3
Use properties of real number operations, ordering, and the zero-product property
ExampleIf
and 
is positive, what is the value of 
? -
4
Solve problems involving counting techniques
ExampleIf
is a positive 
-digit integer and both digits of 
are the same, how many different values are possible for 
?
Skills needed to score in the next band
Determine values or properties of numbers in a sequence when given a description of the sequence
Create and use ratios, fractions, or percents in solving problems
Solve more-complex counting problems (e.g., permutations, combinations, and inclusion/exclusion)
