CCAT Spatial Reasoning: Series 2

Question 1

A shape series shows: triangle with 1 dot, triangle with 2 dots, triangle with 3 dots, ___. What comes next?

Accepted Answer

Triangle with 4 dots

Answer

The shape (triangle) is constant; dots increase by 1 each step. Next: triangle with 4 dots.

Question 2

A square rotates 45 degrees clockwise at each step. After 4 steps from the original position, what does it look like?

Accepted Answer

Square aligned with the axes

Answer

4 x 45 = 180 degrees. A square has 90-degree rotational symmetry, so at 180 degrees it looks the same as at 0 degrees.

Question 3

In a series, the number of polygon sides increases by 1 each step: triangle, square, pentagon, hexagon, ___.

Accepted Answer

Heptagon

Answer

Sides: 3, 4, 5, 6, 7. After hexagon (6 sides) comes heptagon (7 sides).

Question 4

A series of figures has lines of symmetry: Figure 1 = 1, Figure 2 = 2, Figure 3 = 3, Figure 4 = 4. Which shape has exactly 4 lines of symmetry?

Accepted Answer

Square

Answer

A square has exactly 4 lines of symmetry: 2 through opposite sides and 2 through opposite vertices.

Question 5

A repeating tile pattern cycles: circle, square, triangle, diamond, circle, square, triangle, diamond... What is the 19th shape?

Accepted Answer

Triangle

Answer

Cycle length = 4. 19 mod 4 = 3. Position 3 in the cycle = triangle.

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