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2025 Math Kangaroo

Problem 6

Problem 6 · 2025 Math Kangaroo Medium
Spatial & Visual Reasoning transformationssymmetry

Larissa has a toy windmill that turns in the wind (see picture on the right) and then stops. What does it look like now?

Figure for Math Kangaroo 2025 Problem 6
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Answer: B
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Hint 1 of 2
The windmill just spins, so the same coloured pattern must stay in the same order around it.
Still stuck? Show hint 2 →
Hint 2 of 2
A rotation keeps the shading pattern in the same cyclic order - reflections do not count.
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Approach: match a rotated copy of the original windmill
  1. Spinning keeps the dark and light sections in the same circular order.
  2. Compare each option to a turned version of the shown windmill.
  3. Only option B is a pure rotation of the original.
  4. So it looks like B.
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