Spatial Reasoning Flashcards
7 cards from real MENSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Spatial Reasoning flashcards as text
A cube is painted red on all faces and then cut into 27 equal smaller cubes. How many small cubes have exactly 2 red faces?
Answer: 12
The 12 edge cubes (not corners) each have exactly 2 painted faces.
Which arrangement of 6 squares CANNOT be folded into a cube?
Answer: A straight 1×6 row
A straight 1×6 row cannot fold into a cube because opposite faces would overlap.
A shape is rotated 90° clockwise, then reflected across a vertical axis. Which single transformation produces the same result?
Answer: 90° counter-clockwise rotation
A 90° clockwise rotation followed by a vertical reflection is equivalent to a single 90° counter-clockwise rotation.
Looking at a 4×4 grid from above, a ball starts at the top-left corner (row 1, col 1) and moves 2 squares right, then 3 squares down, then 1 square left. What is the ball's final position?
Answer: Row 4, Column 2
Starting at (row 1, col 1): right 2 → col 3; down 3 → row 4; left 1 → col 2, giving row 4, column 2.
Which 3D shape produces an identical circular cross-section for every cut made parallel to its base?
Answer: Cylinder
A cylinder produces a circular cross-section for every cut parallel to its base.
A rectangular piece of paper is folded in half along its length, then folded in half again along its width. A single hole is punched through all layers in the center. How many holes appear when the paper is fully unfolded?
Answer: 4
Each fold doubles the layers, so two folds create 4 layers, producing 4 holes when unfolded.
Two identical right triangles are placed together along their hypotenuses. What shape is always formed?
Answer: Parallelogram
Joining two identical right triangles along their hypotenuses always produces a parallelogram.