HAST Spatial Reasoning

Question 1

A cube is painted red on all faces and then cut into 27 equal smaller cubes. How many small cubes have exactly 2 red faces?

Accepted Answer

12

Answer

8

Answer

6

Answer

1

Question 2

Looking at a clock from the front, the minute hand points to 12 and the hour hand points to 3. If you look at the clock in a mirror, where does the hour hand point?

Accepted Answer

9

Answer

3

Answer

6

Answer

12

Question 3

A 3D shape has 6 faces, 12 edges, and 8 vertices. What is it?

Accepted Answer

Cube (rectangular prism)

Answer

Triangular prism

Answer

Tetrahedron

Answer

Octahedron

Question 4

A floor plan shows a room 5 m × 4 m. At a scale of 1:50, what are the dimensions on the plan?

Accepted Answer

10 cm × 8 cm

Answer

5 cm × 4 cm

Answer

25 cm × 20 cm

Answer

50 cm × 40 cm

Question 5

A shape is rotated 90° clockwise. If it originally faced up-right, which direction does it face after rotation?

Accepted Answer

Down-right

Answer

Up-left

Answer

Down-left

Answer

Up-right

Question 6

How many cubes are needed to build a 3×3×3 solid cube if the center is hollow (one cube missing from the exact center)?

Accepted Answer

26

Answer

27

Answer

24

Answer

25

A cube is painted red on all faces and then cut into 27 equal smaller cubes.How many small cubes have exactly 2 red faces?

A cube is painted red on all faces and then cut into 27 equal smaller cubes.
How many small cubes have exactly 2 red faces?