RCAT Spatial Reasoning

Question 1

A 3D cube is unfolded into a net. If the top face has a star, the front face has a circle, and the left face has a triangle, which face is directly opposite to the star?

Accepted Answer

Bottom face

Answer

Right face

Answer

Back face

Answer

Front face

Question 2

An object viewed from the front shows a rectangle. Viewed from the top, it shows a circle. What is the most likely 3D shape?

Accepted Answer

Cylinder

Answer

Sphere

Answer

Cone

Answer

Cube

Question 3

How many cubes are needed to build a 3×3×3 solid cube if the inside is hollow (only the outer shell of cubes)?

Accepted Answer

26

Answer

27

Answer

24

Answer

28

Question 4

If you fold a paper in half twice and cut a small square from the center of the folded corner, how many holes appear when unfolded?

Accepted Answer

4

Answer

1

Answer

2

Answer

8

Question 5

A shape is reflected across a vertical axis and then rotated 180°. If the original shape points to the upper-right, where does it point after both transformations?

Accepted Answer

Lower-left

Answer

Upper-left

Answer

Upper-right

Answer

Lower-right

Question 6

A staircase is built with 1 cube on the top step, 2 cubes on the second, and 3 on the third. How many cubes are in a 5-step staircase?

Accepted Answer

15

Answer

12

Answer

10

Answer

20