GCAT Spatial Visualization Tasks 2 — Questions and Answers
Question 1: A flat cross-shaped net is folded into a cube. If the center square is the bottom face, which square becomes the top face?
- The square directly above the center
- The square directly below the center (Correct answer)
- The square to the left of the center
- The square to the right of the center
Correct answer: The square directly below the center
When folding a cross-shaped net, the square opposite the bottom (directly below the center in the net) becomes the top face.
Question 2: An object is viewed from the front and appears as a circle. From the side it appears as a square. What is the object most likely to be?
- A sphere
- A cylinder (Correct answer)
- A cone
- A cube
Correct answer: A cylinder
A cylinder appears circular from the front/top and rectangular (square) from the side.
Question 3: A rectangular block measuring 4×3×2 is painted red on all faces, then cut into 1×1×1 unit cubes. How many unit cubes have exactly two red faces?
- 16
- 20 (Correct answer)
- 24
- 12
Correct answer: 20
Edge cubes (not corners) have exactly two painted faces; there are 4 edges of length 2 (2 cubes each), 4 edges of length 1 (1 cube each), and 4 edges of length 0 giving 20 total.
Question 4: If you rotate the letter 'R' 180° clockwise, what does it look like?
- A mirror 'R' flipped left-right
- An upside-down 'R'
- A 'P' rotated
- An upside-down mirrored 'R' (Correct answer)
Correct answer: An upside-down mirrored 'R'
A 180° rotation turns the letter upside down and reverses it, producing an upside-down mirrored R.
Question 5: A map shows North at the top. You face South and turn 90° to your right. In which direction are you now facing?
- North
- East
- West (Correct answer)
- South
Correct answer: West
Facing South and turning 90° to your right means turning toward the West.
Question 6: Which of the following cannot be the silhouette of a cone when viewed from any single angle?
- A triangle
- A circle
- A rectangle (Correct answer)
- An ellipse
Correct answer: A rectangle
A cone can appear as a circle (top view), triangle (side view), or ellipse (angled view), but never as a rectangle.
Question 7: Two gears of equal size are meshed together. If the left gear rotates clockwise, which direction does the right gear rotate?
- Clockwise
- Counter-clockwise (Correct answer)
- It does not rotate
- It alternates directions
Correct answer: Counter-clockwise
Meshed gears of any size always rotate in opposite directions.
GCAT Spatial Visualization Tasks 2
A flat cross-shaped net is folded into a cube.
If the center square is the bottom face, which square becomes the top face?