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2025 Math Kangaroo

Problem 1

Problem 1 · 2025 Math Kangaroo Easy
Spatial & Visual Reasoning tiling-tessellationspatial-reasoning

Which of the pieces shown completes the pattern? (The five choices A–E are pictured below the question.)

Figure for Math Kangaroo 2025 Problem 1
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Answer: C
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Hint 1 of 2
The big design is one repeating pattern; the white window is just a square-shaped hole punched out of it.
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Hint 2 of 2
Look at the lines touching all four edges of the hole and ask which piece lets every one of them continue without a break.
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Approach: match the missing tile to the lines around the hole
  1. The hole sits inside a repeating pattern of overlapping squares and diamonds, so the right piece is the one that keeps every line going straight across the gap.
  2. Trace the lines that arrive at the top, bottom, left and right edges of the white square; the correct piece must connect to all of them at once.
  3. Only choice C lines up on all four sides so the pattern stays seamless with no broken lines, so the answer is (C).
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