A rectangular piece of paper is folded in half and then folded in half the other way to produce a rectangle with sides half the lengths of those of the unfolded paper. Three corners of this folded paper are then cut off and the paper unfolded.Which one of the following could not be a representation of the paper when unfolded again?
Correct answer: A. A
- A. A
- B. B
- C. C
- D. D
Explanation
When a rectangular piece of paper is folded twice, it results in a smaller rectangle with one quarter of the original area. Cutting three corners off this folded rectangle can only result in symmetrical missing sections when unfolded. Option A is correct because it shows an impossible asymmetrical pattern that cannot be achieved through the described folding and cutting process. Options B, C, and D are incorrect as they depict symmetrical patterns consistent with the folding and cutting process.
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About Scientific Reasoning
Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.
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