ASET Spatial Reasoning 2

Question 1

A flat net consists of 6 squares arranged in a cross shape (one center square with four squares attached to its sides and one square above the center). When folded, this net forms which 3D shape?

Accepted Answer

Cube

Answer

A cross-shaped net of 6 equal squares folds into a cube, as it provides all six faces needed.

Question 2

You have a 3×3×3 cube made of smaller unit cubes. If you remove all the unit cubes that have at least one face exposed to the outside, how many unit cubes remain hidden in the center?

Accepted Answer

1

Answer

Only the very center unit cube of a 3×3×3 cube has no face exposed; all other 26 unit cubes touch at least one outer surface.

Question 3

A figure shows four small triangles arranged to form one large triangle. If each small triangle has a base of 3 cm, what is the base length of the large triangle?

Accepted Answer

9 cm

Answer

When four congruent triangles are arranged to form a larger similar triangle, the linear scale factor is 2, making the base 3 × 3 = 9 cm.

Question 4

Which of the following objects, when rotated 180°, looks identical to its original position?

Accepted Answer

Letter 'S'

Answer

The letter 'S' has 180° rotational symmetry, meaning it looks the same when turned upside down.

Question 5

A staircase is made of blocks stacked in steps: 1 block on top, 2 in the middle row, and 3 at the bottom. How many blocks are used in total?

Accepted Answer

6

Answer

The staircase contains 1 + 2 + 3 = 6 blocks in total.

ASET - Academic Selection Entrance Test Practice Test

ASET - Academic Selection Entrance Test Practice Test

ASET Spatial Reasoning 2