FireTEAM Visualization Flashcards

A square piece of paper is folded in half from left to right, then folded in half again from top to bottom. A single hole is punched through all layers in the lower-right corner. When the paper is completely unfolded, how many holes will appear?

Answer: 4

Two folds create four layers, so the single punch produces four holes arranged symmetrically when unfolded.

A cube has the letter 'F' written on its front face. You rotate the cube 90 degrees clockwise (when viewed from above), so the face that was on the left is now facing you. What do you see on the new front face?

Answer: A blank face

Rotating 90 degrees clockwise brings the left face to the front; since only the original front face had a letter, the new front face is blank.

A clock reads 3:00. If you hold a mirror to the right side of the clock and look at the reflection, where does the hour hand appear to point?

Answer: 9

A mirror held to the right reflects the image left-to-right, moving the 3 position on the clock face to the 9 position.

A firefighter enters a smoke-filled building and walks 10 feet north, turns right and walks 10 feet east, then turns right again and walks 10 feet south. What is the straight-line distance from their current position back to where they started?

Answer: 10 feet

The path traces three sides of a square, ending 10 feet due east of the starting point.

A cube is painted red on all six faces and then cut into 8 equal smaller cubes (a 2×2×2 arrangement). How many of the smaller cubes have exactly 3 red faces?

Answer: 8

In a 2×2×2 cut, every small cube occupies a corner position where three outer faces meet, so all 8 have exactly 3 painted faces.

A rectangular piece of paper is folded in half the long way (making it taller and narrower), then folded in half the same way again. How many layers thick is the folded paper?

Answer: 4

Each fold doubles the number of layers: one fold creates 2 layers, and the second fold creates 4 layers.

A triangular prism is placed so it rests on its rectangular face. If you look at it straight on from one of the triangular ends, what shape do you see?

Answer: A triangle

A triangular prism has triangular end faces, so looking directly at the end reveals a triangle.