Mettl Spatial Reasoning — Questions and Answers
Question 1: A square piece of paper is folded in half vertically (left half onto right half), then folded in half horizontally (top half onto bottom half). A hole is punched through all layers at the center of the folded paper. When completely unfolded, how many holes appear?
- 1 hole in the center
- 2 holes aligned vertically
- 4 holes arranged in a 2×2 pattern (Correct answer)
- 8 holes arranged in two rows
Correct answer: 4 holes arranged in a 2×2 pattern
Each fold doubles the number of layers. After the vertical fold there are 2 layers; after the horizontal fold there are 4 layers. Punching once through 4 layers creates 4 holes, which unfold into a 2×2 grid.
Question 2: A cube has 'A' on the Top face, 'B' on the Front face, and 'C' on the Right face (opposite faces are A/D, B/E, C/F). The cube is tipped forward so that the Front face becomes the new Bottom. Which letter is now on the Top face?
- A
- B
- E (Correct answer)
- D
Correct answer: E
Tipping forward moves the Front face (B) to the Bottom. The opposite of the original Front face is the Back face (E), which rises to become the new Top.
Question 3: An arrow pointing North is rotated 135° clockwise. In which direction does it now point?
- East
- Southeast (Correct answer)
- South
- Southwest
Correct answer: Southeast
Starting from North (0°) and adding 135° clockwise reaches Southeast (0° + 90° = East, + 45° more = Southeast). The compass landmarks are: 90° = East, 135° = Southeast, 180° = South.
Question 4: The letter 'F' is placed in front of a vertical mirror. Which description best matches its mirror image?
- An upside-down F
- A horizontally flipped F (reversed left-to-right) (Correct answer)
- An F rotated 90° clockwise
- The original F unchanged
Correct answer: A horizontally flipped F (reversed left-to-right)
A vertical mirror reverses left and right only, not up and down. The horizontal bars of F, which extend to the right, now appear to extend to the left — a left-right flip, not an upside-down flip.
Question 5: A flat net consists of a central square with one square attached to each of its four sides (a plus/cross shape of 5 squares). A sixth square is attached to the right side of the rightmost square. When folded, what 3-D shape does this net form?
- A triangular prism
- A rectangular prism (non-cube)
- A cube (Correct answer)
- A pyramid
Correct answer: A cube
A cross-shaped arrangement of 6 identical squares is the classic net of a cube. Each square becomes one face of the six-faced cube when all tabs are folded upward and the final square closes the top.
Question 6: Looking at a 3-D staircase structure from the front, you see 3 columns: the left column is 3 blocks tall, the middle is 2 blocks tall, and the right is 1 block tall. Each column is only 1 block deep. How many individual cubes make up the entire structure?
- 3
- 5
- 6 (Correct answer)
- 9
Correct answer: 6
Add the cubes in each column: 3 (left) + 2 (middle) + 1 (right) = 6. Since each column is 1 block deep, the count from the front view equals the total.
Mettl Spatial Reasoning
A square piece of paper is folded in half vertically (left half onto right half), then folded in half horizontally (top half onto bottom half).
A hole is punched through all layers at the center of the folded paper.
When completely unfolded, how many holes appear?