Problem 1 · 2015 Math Kangaroo
Easy
Spatial & Visual Reasoning
area-fractionsymmetry

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Answer: B
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Hint 1 of 2
For each shape, ask whether the grey part and the white part are the same size.
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Hint 2 of 2
An altitude of a triangle splits it into two pieces of equal area; check which figure is cut into two matching halves.
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Approach: compare grey area to whole in each picture
- In the triangle the line goes straight down from the top vertex, cutting it into two pieces of equal area, and exactly one of them is grey.
- The circle is in thirds (grey = one third), the four-square figure has three of four shaded, and the square-with-X and the pentagon-star are not split into two equal grey/white halves.
- Only the triangle has exactly one half coloured grey, so the answer is B.
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