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2023 Math Kangaroo

Problem 4

Problem 4 · 2023 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoningtiling-tessellation

Alice has the four jigsaw pieces 1, 2, 3 and 4 shown. Which two can she put together to form the square shown?

Figure for Math Kangaroo 2023 Problem 4
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Answer: E — 1 and 4
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Hint 1 of 2
The big square is a block of small cells; each piece must cover part of it with no gaps.
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Hint 2 of 2
Look for two pieces whose notches and bumps fit together like a lock and key.
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Approach: match complementary outlines that combine to the full square
  1. The target square must be filled by the two chosen pieces with no overlap and no gap.
  2. Pieces 1 and 4 have matching step-shaped edges that fit exactly together.
  3. Together they form the full square, so the answer is 1 and 4.
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