SAT Skills Insight

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Reasoning

Skills needed to score in this band

SKILL 1: Consider and compare different cases in reasoning about a problem situation

  1. 1

    Consider and compare different cases in reasoning about a problem situation

    Example

    Street Diagram

    There are five houses on each side of a street, as shown in the figure above. No two houses next to each other on the same side of the street and no two houses directly across from each other on opposite sides of the street can be painted the same color. If the houses labeled G are painted gray, how many of the seven remaining houses cannot be painted gray?

    Answer Choices

Skills needed to score in the next band

Make and test conjectures involving basic logic and set theory

Use basic number theory to investigate conjectures (e.g., conjectures about odd/even, positive/negative, and consecutive integers)

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