CFAT Spatial Ability: Pattern Recognition 1 — Questions and Answers
Question 1: If a square piece of paper is folded in half diagonally and a semicircle is cut from the folded edge, what shape appears when unfolded?
- A full circle in the center (Correct answer)
- Two semicircles on opposite edges
- An oval near one corner
- A diamond-shaped hole
Correct answer: A full circle in the center
When folded diagonally and a semicircle is cut from the fold, unfolding reveals a complete circle where both halves of the cut align.
Question 2: Which three-dimensional figure can be formed by folding a cross-shaped net made of six equal squares?
- Cube (Correct answer)
- Rectangular prism
- Triangular prism
- Hexagonal prism
Correct answer: Cube
A cross-shaped net of six equal squares folds into a cube, with each square becoming one face.
Question 3: A pattern shows a sequence: triangle, square, pentagon, hexagon. What comes next?
- Heptagon (Correct answer)
- Octagon
- Circle
- Square
Correct answer: Heptagon
The pattern increases the number of sides by one each time: 3, 4, 5, 6, so the next shape has 7 sides (heptagon).
Question 4: If you rotate a capital letter 'N' 90 degrees clockwise, which letter does it most closely resemble?
- Z (Correct answer)
- S
- M
- W
Correct answer: Z
Rotating 'N' 90 degrees clockwise produces a shape that closely resembles the letter 'Z'.
Question 5: A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have exactly two painted faces?
- 12 (Correct answer)
- 8
- 6
- 4
Correct answer: 12
Edge cubes (not corners) have exactly two painted faces. A 3x3x3 cube has 12 edges, each with one such cube, totaling 12.
Question 6: Which mirror image is correct for the figure showing an arrow pointing up-right with a circle at its base?
- Arrow pointing up-left with circle at base (Correct answer)
- Arrow pointing down-right with circle at top
- Arrow pointing up-right with circle at top
- Arrow pointing down-left with circle at base
Correct answer: Arrow pointing up-left with circle at base
A vertical mirror reflection reverses left-right orientation while keeping up-down the same, so up-right becomes up-left.
If a square piece of paper is folded in half diagonally and a semicircle is cut from the folded edge, what shape appears when unfolded?