GCAT Spatial Visualization Tasks 3 — Questions and Answers
Question 1: A piece of paper is folded in half twice (once horizontally, once vertically) and a hole is punched through the center. When fully unfolded, how many holes are there?
- 1
- 2
- 3
- 4 (Correct answer)
Correct answer: 4
Each fold doubles the number of holes; two folds produce 2² = 4 holes when unfolded.
Question 2: A staircase viewed from the front shows 3 steps going up to the right. If you view it from directly above, what shape do you see?
- Three rectangles side by side (Correct answer)
- A single large rectangle
- Three L-shaped sections
- A triangle
Correct answer: Three rectangles side by side
Viewed from above, a standard staircase reveals three rectangular treads (horizontal surfaces) side by side.
Question 3: Which 3D shape has the same number of faces as vertices?
- Cube
- Tetrahedron (Correct answer)
- Triangular prism
- Square pyramid
Correct answer: Tetrahedron
A tetrahedron has 4 faces and 4 vertices, making it the only common solid where faces equal vertices.
Question 4: You are inside a transparent cube and look diagonally from one corner to the opposite corner. How many edges of the cube does your line of sight pass through?
- 0 (Correct answer)
- 1
- 2
- 3
Correct answer: 0
The space diagonal of a cube passes only through the interior and exits at a vertex, not through any edges.
Question 5: A clock face is reflected in a mirror. The original clock shows 3:00. What time does the mirror image appear to show?
- 9:00 (Correct answer)
- 3:00
- 6:00
- 12:00
Correct answer: 9:00
A mirror reflection reverses left and right, so 3:00 (hand pointing right) appears as 9:00 (hand pointing left).
Question 6: Three cubes are stacked vertically. When viewed from the side, you see a tall rectangle. When viewed from the front, you see three squares. What is the arrangement?
- 3 cubes in a diagonal line
- 3 cubes stacked directly on top of each other (Correct answer)
- 3 cubes arranged side by side
- 3 cubes forming an L-shape
Correct answer: 3 cubes stacked directly on top of each other
Stacking three cubes directly on top of each other produces a single tall rectangle from the side and three visible squares from the front.
Question 7: If you unfold a triangular prism into its net, how many total shapes does the net contain?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
A triangular prism has 2 triangular faces and 3 rectangular faces, giving 5 shapes in its net.
GCAT Spatial Visualization Tasks 3
A piece of paper is folded in half twice (once horizontally, once vertically) and a hole is punched through the center.
When fully unfolded, how many holes are there?