OLSAT Nonverbal Reasoning Flashcards

In a pattern, each square is shaded one additional quadrant clockwise per step. After 4 steps, how many quadrants are shaded?

Answer: 4

Starting unshaded, after 4 steps all 4 quadrants are shaded.

Two identical shapes overlap. The overlap region has 4 square units; each shape is 10 square units. What is the combined visible area?

Answer: 16

Total visible area = 10 + 10 − 4 = 16 square units.

A grid pattern has a dot moving one cell right and one cell down each step. If it starts at position (1,1), where is it after 3 steps?

Answer: (4,4)

Starting at (1,1) and moving +1,+1 each step: (2,2), (3,3), (4,4) after 3 steps.

Which net folds into a cube? A net with 4 squares in a row and 1 square on top and bottom of the second square.

Answer: It forms a cube

A cross-shaped net of 6 squares (4 in a row, 1 above and 1 below the second) correctly folds into a cube.

In a figure analogy, a filled circle becomes an empty circle when the background changes from white to black. A filled square with a white background becomes ___.

Answer: Empty square, black background

Applying the same rule (filled → empty, white → black), the result is an empty square on a black background.

A regular hexagon is divided into 6 equilateral triangles. If 4 triangles are shaded, what fraction is unshaded?

Answer: 1/3

6 − 4 = 2 unshaded triangles; 2/6 = 1/3 of the hexagon is unshaded.