ASET Spatial Reasoning 3

Question 1

Three cubes are stacked vertically. How many flat faces are hidden (touching another cube or the ground) in total?

Accepted Answer

5

Answer

4

Answer

6

Answer

8

Question 2

A square is rotated 45° and placed inside a larger square so its corners touch the midpoints of the outer square's sides. What shape is formed between the two squares?

Accepted Answer

4 right triangles

Answer

4 rectangles

Answer

4 squares

Answer

4 pentagons

Question 3

You are facing North. You turn 90° to your right, then 180°, then 90° to your left. Which direction are you now facing?

Accepted Answer

South

Answer

North

Answer

East

Answer

West

Question 4

A hollow cylinder is cut in half lengthwise. What is the shape of the flat cut surface?

Accepted Answer

Rectangle

Answer

Circle

Answer

Oval

Answer

Square

Question 5

Four identical L-shaped pieces are arranged to form a 4×4 square. Each L-shape covers exactly 4 unit squares in an L configuration. How many unit squares does the entire 4×4 square contain?

Accepted Answer

16

Answer

12

Answer

14

Answer

20

Question 6

An object is viewed from the front and appears as a triangle. Viewed from above, it appears as a square. Which shape could this object be?

Accepted Answer

Square pyramid

Answer

Sphere

Answer

Cube

Answer

Cylinder

Question 7

A 2×4 rectangle is divided into exactly 8 unit squares arranged in 2 rows of 4. How many different rectangles of any size can be traced within this grid, including the whole shape?

Accepted Answer

15

Answer

18

Answer

20

Answer

24