SAT Skills Insight

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Select a score band

Reasoning

Skills needed to score in this band

SKILL 1: Recognize and use counterexamples

SKILL 2: Consider multiple cases

SKILL 3: Investigate and coordinate multiple conjectures to draw a logical conclusion

  1. 1

    Recognize and use counterexamples

    Example

    A number is called "even-odd" if it is halfway between an even integer and an odd integer. If x is an even-odd number, which of the following must be true?

    Roman numeral 12 times x is an integer.

    Roman numeral 2. 2 times x is even-odd.

    Roman numeral 3. x is halfway between two even integers.

     

    Answer Choices
  2. 2

    Consider multiple cases

    Example

    Points X and Y are two different points on a circle. Point M is located so that line segment X M and line segment Y M have equal length. Which of the following could be true?

     

    Roman numeral 1M is the center of the circle.

    Roman numeral 2. M is on arc X Y.

    Roman numeral 3. M is outside of the circle.

    Answer Choices
  3. 3

    Investigate and coordinate multiple conjectures to draw a logical conclusion

    Example

    If Anna goes to the movies, Bill goes to the movies with her. If Bill goes to the movies, Carrie goes to the movies. If Carrie did not go to the movies, which of the following must be true?

    Roman numeral 1. Anna went to the movies.

    Roman numeral 2. Bill went to the movies.

    Roman numeral 3. Bill did not go to the movies.

    Answer Choices

Skills needed to score in the next band

Decide which cases to consider in order to reach a conclusion

Make and test conjectures about properties of operations represented by unfamiliar symbols

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