SAT Skills Insight

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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

 

  1. 1

    Solve problems using ideas from basic set theory and basic number theory

    Example

    X equals set of positive integer factors of 6.
    Y equalsset of positive integer factors of 9.
    Z equals set of positive integer factors of 15.

    X, Y, and Z represent three sets of numbers, as defined above. What is the set of numbers that belong to set Z but to neither set X nor set Y?

    Answer Choices
  2. 2

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

    Example

    There are 150 teachers at a meeting, 40 percent of whom are male. Of the male teachers at the meeting, 35 percent teach elementary school. How many of the male teachers at the meeting teach elementary school ?

    Answer Choices
  3. 3

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

    Example

    If (p + 1) times (t minus 3) = 0 and p is positive, what is the value of t ?

    Answer Choices
  4. 4

    Solve problems involving counting techniques

    Example

    If n is a positive 2-digit integer and both digits of n are the same, how many different values are possible for n?

    Answer Choices
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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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