Problem 1 · 2024 Math Kangaroo
Easy
Spatial & Visual Reasoning
paper-cuttingsymmetry
Each square below is cut into two pieces by a line. Which square was divided into two pieces that are different in shape? (The answer choices are the five pictured squares.)
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Answer: E
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Hint 1 of 3
For each square, look at the two pieces and ask: are they the same shape and size?
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Hint 2 of 3
Imagine cutting along the line and laying one piece on top of the other — in four squares they match exactly.
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Hint 3 of 3
Find the one square where the two pieces would NOT stack on top of each other.
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Approach: for each square, check whether the two pieces are the same
- In each square, picture cutting along the line and laying one piece on top of the other.
- In four of the squares the two pieces stack perfectly — they are the same shape and size.
- In one square the pieces are clearly different: one is bigger or a different shape, so they cannot stack.
- That odd-one-out square is the answer: E.
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