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2024 Math Kangaroo

Problem 20

Problem 20 · 2024 Math Kangaroo Stretch
Geometry & Measurement foldingspatial-reasoning
Figure for Math Kangaroo 2024 Problem 20
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Answer: B
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Hint 1 of 2
Figure out which edges of the white square meet which neighbouring triangles once the net is folded into a cube.
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Hint 2 of 2
Each white triangle must copy the colour of the triangle it ends up touching across a fold edge.
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Approach: fold mentally and match colours across shared edges
  1. When the net folds into a cube, each edge of the white square meets an edge of a neighbouring face.
  2. The rule says touching triangles share a colour, so each of the four white triangles must take the colour of the triangle it meets across that edge.
  3. Tracking which face borders each side of the white square gives a definite colour for each of its four triangles.
  4. That colouring is choice B.
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