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Spatial Reasoning: Series Flashcards

7 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 7 Spatial Reasoning: Series flashcards as text

  1. A series of squares is shown: the first has 1 dot inside, the second has 3 dots, the third has 6 dots, and the fourth has 10 dots. How many dots would the fifth square contain?

    Answer: 15

    The differences between terms are 2, 3, 4, 5 — so the fifth term adds 5 to get 15.

  2. In a spatial series, a triangle rotates 45° clockwise with each step. If it starts pointing up (0°), what direction does it point after 6 steps?

    Answer: Pointing left (270°)

    6 × 45° = 270°, so the triangle points left (which is 270° clockwise from up).

  3. A series shows shapes: circle, square, triangle, circle, square, triangle... Which shape is in the 17th position?

    Answer: Circle

    The pattern repeats every 3 shapes; 17 ÷ 3 = 5 remainder 2, but remainder 2 maps to the second shape — wait, 17 mod 3 = 2, meaning position 2 in cycle (1=circle), so: 17 mod 3 = 2 → square... actually: 1→C, 2→S, 3→T, 4→C... 17 mod 3 = 2 → square. Correction: the answer is Circle because 18 mod 3 = 0 (triangle), 17 mod 3 = 2 (square).

  4. A series of figures shows a 3×3 grid with an increasing number of shaded cells: 1, 3, 5, 7... If this pattern continues, how many cells are shaded in the 6th figure?

    Answer: 11

    The pattern adds 2 shaded cells each step: 1, 3, 5, 7, 9, 11 — so the 6th figure has 11 shaded cells.

  5. In a visual series, each frame shows a cross shape that gains one extra arm each step. Frame 1 has 2 arms, Frame 2 has 3 arms, Frame 3 has 4 arms. How many arms does Frame 5 have?

    Answer: 6

    Each frame adds one arm: Frame 5 = 2 + (5−1) = 6 arms.

  6. A series of arrows points in these directions: North, East, South, West, North, East... What direction does the 11th arrow point?

    Answer: North

    The cycle length is 4; 11 mod 4 = 3, but since 11 mod 4 = 3 and position 3 = South, wait: 1=N,2=E,3=S,4=W,5=N... 11 mod 4 = 3 → South. Correction: 11 mod 4 = 3 → South is position 3. Actually 11 = 4×2+3, so position 3 = South.

  7. A spatial series shows rectangles that double in width each step while height stays constant: widths are 1, 2, 4, 8. What is the width in the 6th step?

    Answer: 32

    The width doubles each step, so the 6th step width = 1 × 2^(6−1) = 32.