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

The left arm face

Answer

The right arm face

Answer

The front arm face

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

Sphere

Answer

Cone

Answer

Cube

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 shape with fewer sides than X

Answer

A shape with more sides than X

Answer

A pentagon

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

4

Answer

8

Answer

16

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

Straight up (12 o'clock position)

Answer

To the left (9 o'clock position)

Answer

To the right (3 o'clock position)

Question 6

Two identical right triangles are placed hypotenuse-to-hypotenuse. What shape do they form?

Accepted Answer

Rectangle

Answer

Trapezoid

Answer

Pentagon

Answer

Rhombus

Question 7

A 3×3×3 cube is painted red on all outer faces, then cut into 27 unit cubes. How many unit cubes have paint on exactly two faces?

Accepted Answer

12

Answer

8

Answer

24

Answer

6