CCAT Spatial Reasoning: Series 5 — Questions and Answers
Question 1: A series of figures shows a star with an increasing number of points: 4, 5, 6, 7... What comes next?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
Each figure adds one point to the star, so the next star has 8 points.
Question 2: In a visual matrix series, a small black square moves one cell to the right each step in a 4-cell row. After reaching the rightmost cell, it wraps to the leftmost cell. If it starts in cell 1, which cell is it in after 9 moves?
- Cell 1
- Cell 2 (Correct answer)
- Cell 3
- Cell 4
Correct answer: Cell 2
After 9 moves from cell 1: (1 + 9 − 1) mod 4 + 1 = 9 mod 4 + 1 = 1 + 1 = 2, so it's in cell 2.
Question 3: A series shows concentric rings added to a circle: figure 1 has 1 ring, figure 2 has 2 rings, figure 3 has 3 rings. Each new ring is the same thickness. Which figure first has more than 5 rings?
- Figure 5
- Figure 6 (Correct answer)
- Figure 7
- Figure 8
Correct answer: Figure 6
Since each figure adds exactly one ring, Figure 6 is the first to have 6 rings, which exceeds 5.
Question 4: In a series, each shape is reflected horizontally from the previous one. If Figure 1 shows an arrow pointing right, what does Figure 4 show?
- Arrow pointing right (Correct answer)
- Arrow pointing left
- Arrow pointing up
- Arrow pointing down
Correct answer: Arrow pointing right
Reflecting horizontally alternates left/right: F1=right, F2=left, F3=right, F4=left — but even figures point left, so F4 points left.
Question 5: A series of figures shows the number of sides of each polygon increasing by 1: triangle (3), square (4), pentagon (5)... What is the 7th shape in the series?
- Heptagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides) (Correct answer)
- Decagon (10 sides)
Correct answer: Nonagon (9 sides)
The first shape (triangle) has 3 sides, so the nth shape has n+2 sides; the 7th shape has 7+2 = 9 sides (nonagon).
Question 6: A visual series shows alternating patterns: shaded-unshaded-shaded-unshaded in a row of 4 squares. In the next row the pattern shifts one cell to the right. In row 3, which cell is shaded first?
- Cell 1
- Cell 2
- Cell 3 (Correct answer)
- Cell 4
Correct answer: Cell 3
Row 1 starts shaded at cell 1, Row 2 shifts right (shaded at cell 2), Row 3 shifts again so the first shaded cell is cell 3.
Question 7: In a series, a diagonal line inside a square rotates 90° clockwise each step: starting at the top-left to bottom-right diagonal. After 5 steps, what orientation does the line have?
- Top-left to bottom-right (original) (Correct answer)
- Top-right to bottom-left
- Horizontal
- Vertical
Correct answer: Top-left to bottom-right (original)
Rotating 90° four times completes a full 360° cycle; after 5 rotations, the line is back to its original orientation (top-left to bottom-right).
A series of figures shows a star with an increasing number of points: 4, 5, 6, 7...
What comes next?