Problem 1 · 2025 Math Kangaroo
Easy
Spatial & Visual Reasoning
sequence-of-figuresarea-fraction
In which of the following hexagons is exactly one third of the area black and half of the area white? (The remaining sixth is grey.)
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Answer: E
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Hint 1 of 2
A regular hexagon splits into six equal triangles, so each colour must cover a whole number of those triangles.
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Hint 2 of 2
One third of six triangles is two triangles black; half of six is three triangles white — find the picture with exactly that count.
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Approach: count equal triangles by colour
- Divide the hexagon into its six identical triangles.
- One third black means 2 triangles black; one half white means 3 triangles white; the last triangle is the grey/patterned one.
- Only option E shows exactly 2 black and 3 white triangles.
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