FAST Future Aptitude Selection Tool Spatial Reasoning 4

Question 1

A flat cross-shaped net is folded into a cube. If the center square of the cross is the bottom face, which face is directly opposite the top face?

Accepted Answer

The bottom face

Answer

When folded, the center square becomes the bottom, so the top arm of the cross folds up to become the top face, and the center (bottom) is directly opposite.

Question 2

An object is viewed from above (top view) as a circle and from the front as a rectangle. Which solid is most likely being described?

Accepted Answer

Cylinder

Answer

A cylinder appears as a circle from the top and as a rectangle from the front.

Question 3

Shape X is a regular hexagon. Shape X is reflected across its vertical axis of symmetry. What is the result?

Accepted Answer

A shape congruent to X

Answer

A regular hexagon is bilaterally symmetric about its vertical axis, so its reflection is congruent to the original.

Question 4

A staircase viewed from the side shows 4 steps going up from left to right. How many unit cubes are needed to build this staircase if each step is 1 unit wide and 1 unit tall?

Accepted Answer

10

Answer

The columns have 1, 2, 3, and 4 cubes respectively, totaling 10 cubes.

Question 5

A clock face shows 3:00. If the clock image is rotated 90° clockwise, where does the minute hand point?

Accepted Answer

Straight down (6 o'clock position)

Answer

At 3:00 the minute hand points to 12 (up); rotating 90° clockwise moves it to point to 3 (right)… wait — at 3:00 the minute hand is at 12, which points straight up; a 90° clockwise rotation moves straight up to point to the right.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Future Aptitude Selection Tool Spatial Reasoning 4