# SAT Skills Insight

Next Tests:
10/11 , 11/8

#### 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

1. 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. 2

Recognize and apply ratio, proportion, or percent in solving problems

Example

There 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. 3

Use properties of real number operations, ordering, and the zero-product property

Example

If and is positive, what is the value of ?

4. 4

Solve problems involving counting techniques

Example

If is a positive -digit integer and both digits of are the same, how many different values are possible for ?

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#### 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)

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