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

Each junction between two cubes hides 2 faces (one from each cube), giving 2 junctions × 2 = 4 hidden faces, plus 1 face on the ground = 5 total.

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

The rotated inner square cuts each corner of the outer square into a right isosceles triangle, creating 4 right triangles in the corners.

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

Starting North: +90° right → East; +180° → West; +90° left → South.

Question 4

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

Accepted Answer

Rectangle

Answer

Cutting a cylinder lengthwise along its axis reveals a flat rectangular cross-section whose width equals the diameter and length equals the cylinder's height.

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

A 4×4 grid contains 4 × 4 = 16 unit squares, and four L-shaped tetrominoes each covering 4 squares account for all 16.

ASET - Academic Selection Entrance Test Practice Test

ASET - Academic Selection Entrance Test Practice Test

ASET Spatial Reasoning 3