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Spatial Reasoning: Series Flashcards

6 cards from real CCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Spatial Reasoning: Series flashcards as text

  1. A growing dot pattern follows triangular numbers: Step 1=1, Step 2=3, Step 3=6, Step 4=10. What is Step 6?

    Answer: 21

    Triangular numbers: T(n) = n(n+1)/2. T(6) = 6x7/2 = 21.

  2. The interior angle sum of regular polygons increases by 180 degrees with each additional side (triangle=180, square=360, pentagon=540). What is the interior angle sum of a heptagon (7 sides)?

    Answer: 900 degrees

    Interior angle sum = (n-2) x 180. For heptagon: (7-2) x 180 = 5 x 180 = 900 degrees.

  3. Nested squares: each inner square has sides half the outer. The outermost has side 16. What is the perimeter of the 4th (innermost) square?

    Answer: 8

    Sides: 16, 8, 4, 2. The 4th square has side 2, perimeter = 4 x 2 = 8.

  4. In a series, each figure is reflected horizontally from the previous. Figure 1 is an arrow pointing right. Figure 3 looks like ___.

    Answer: Arrow pointing right

    Figure 1: right. Figure 2: reflected = left. Figure 3: reflected again = right. Two reflections restore the original.

  5. A pattern alternates: odd steps change shape (+1 side), even steps double count. Start: 1 triangle. Steps 1-5: 1 square, 2 squares, 2 pentagons, 4 pentagons, 4 hexagons. Step 6 contains how many figures?

    Answer: 8

    Step 6 is even, so the count doubles from Step 5: 4 x 2 = 8.

  6. A series shows squares: 1x1, 2x2, 3x3, 4x4. The areas are 1, 4, 9, 16. What is the area of the 7th figure in the series?

    Answer: 49

    Area of n-th figure = n^2. 7th figure: 7^2 = 49.