Problem 18 · 2023 Math Kangaroo
Hard
Spatial & Visual Reasoning
paper-cuttingfolding
Rebecca folds a square piece of paper twice. Then she cuts off one corner as shown in the diagram. Then she unfolds the paper. What could the paper look like now? (Choose from pictures A–E.)
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Answer: B
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Hint 1 of 2
Folding twice stacks four layers; the single cut goes through all of them.
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Hint 2 of 2
The cut corner sits at the folded centre, so unfolding makes a hole in the middle.
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Approach: unfold the cut by reflecting it across both fold lines
- Two folds bring all four corners together at the centre of the square.
- Cutting that folded corner removes a piece from the very middle of the paper.
- Unfolded, the paper is a full square with a small square hole in the centre, which is option B.
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