CCAT Spatial Reasoning: Series 4

Question 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?

Accepted Answer

15

Answer

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

Question 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?

Accepted Answer

Pointing left (270°)

Answer

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

Question 3

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

Accepted Answer

Circle

Answer

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).

Question 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?

Accepted Answer

11

Answer

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

Question 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?

Accepted Answer

6

Answer

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

CCAT Practice Test

CCAT Practice Test

CCAT Spatial Reasoning: Series 4