Spatial Reasoning Flashcards
6 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 6 Spatial Reasoning flashcards as text
How many triangles are in a figure made of a large triangle divided into 4 equal smaller triangles?
Answer: 5
There are 4 small triangles plus the 1 large outer triangle = 5 triangles total.
If a paper is folded in half twice and then a hole is punched through all layers, how many holes appear when unfolded?
Answer: 4
Folding in half twice creates 4 layers. One punch through all 4 layers creates 4 holes when unfolded.
A solid cube is painted red on all sides and cut into 27 equal smaller cubes. How many smaller cubes have exactly 2 painted faces?
Answer: 12
Edge cubes (not corners) have exactly 2 painted faces. A 3×3×3 cube has 12 edges, each contributing 1 such cube = 12.
What is the minimum number of straight cuts needed to divide a circle into 8 equal pieces?
Answer: 4
Each straight cut through the center adds 2 equal sectors. 1 cut = 2 pieces, 2 cuts = 4 pieces, 3 cuts = 6 pieces, 4 cuts = 8 pieces.
Which shape has exactly 4-fold rotational symmetry?
Answer: Square
A square looks identical after rotations of 90°, 180°, 270°, and 360° — that is 4-fold rotational symmetry.
A cube has a space diagonal from one corner to the opposite corner. If the cube has side length 2, what is the length of this space diagonal?
Answer: 2√3
Space diagonal of a cube with side a = a√3. With a=2: 2√3.