SZF IOM · Logical and Mental Reasoning
Spatial and Visual Reasoning
Cubes, dice, paper folding/cutting, 2D-to-3D visualisation — Silverzone emphasis.
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5 practice questions for SZF IOM with instant answers — no signup, ~3 minutes.
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Take a full mock →Q1 · Spatial and Visual Reasoning · EASY
A cube is painted red on all six faces. It is then cut into 27 smaller cubes of equal size by making two cuts parallel to each face. How many of the smaller cubes have exactly two faces painted red?
Q2 · Spatial and Visual Reasoning · MEDIUM
A rectangular piece of paper ABCD is folded along the diagonal AC such that corner B meets point B' on the same plane. If the original paper had dimensions 8 cm by 6 cm (AB = 8 cm, BC = 6 cm), what is the length of the crease line AC?
Q3 · Spatial and Visual Reasoning · HARD
A solid cube of side 6 cm has a cylindrical hole of diameter 2 cm drilled completely through it from the center of one face perpendicular to that face, passing through to the opposite face. The cube is then placed with the drilled faces as top and bottom. Looking from directly above, which shape will you see?
Q4 · Spatial and Visual Reasoning · MEDIUM
A cube is painted red on all faces and then cut into 64 smaller identical cubes. How many of the smaller cubes have exactly two faces painted red?
Q5 · Spatial and Visual Reasoning · MEDIUM
Which of the following cube patterns, when folded, will form a cube with opposite faces having the numbers 1-6, 2-5, and 3-4?