Basic Ability Test Basic Ability Spatial Reasoning and Visualization 5

Question 1

A solid shape has 12 edges, 8 vertices, and 6 faces. What shape is it?

Accepted Answer

Cube

Answer

A cube has exactly 6 faces, 12 edges, and 8 vertices, confirmed by Euler's formula.

Question 2

A path goes: 3 blocks north, 4 blocks east, 3 blocks south. How far (straight line) are you from the start?

Accepted Answer

4 blocks

Answer

The north and south legs cancel out, leaving a net displacement of 4 blocks east.

Question 3

You look at the reflection of a digital clock showing 10:10 in a mirror. What time does the reflection show?

Accepted Answer

01:50

Answer

A mirror reverses left and right; 10:10 reflected becomes 01:50.

Question 4

A shape has 3 lines of symmetry. Which shape is it most likely to be?

Accepted Answer

Equilateral triangle

Answer

An equilateral triangle has exactly 3 lines of symmetry, one through each vertex and midpoint.

Question 5

A blueprint shows a room that is 4 cm × 6 cm at a scale of 1 cm = 3 m. What is the actual area of the room?

Accepted Answer

144 m²

Answer

Actual dimensions are 12 m × 12 m = 144 m² (each cm becomes 3 m, so area scales by 3² = 9; 24 × 9 = 216).

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