Number and shape patterns Transitional Reasoning Practice

Math · Algebra · Math · Patterns & Expressions

1 Math practice questions on Number and shape patterns. Questions that build towards applied reasoning.

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Questions

  1. 1.

    An artist constructs a decorative lighting fixture by attaching identical regular hexagonal frames edge-to-edge in a straight row. Step 1 consists of 1 frame with 6 outer light tubes, Step 2 consists of 2 joined frames with 10 outer light tubes, and Step 3 consists of 3 joined frames with 14 outer light tubes. If a completed installation requires exactly 86 outer light tubes, how many shared interior borders connect adjacent hexagonal frames in this row?

    • A) 19
    • B) 20
    • C) 21
    • D) 22

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