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2012 Math Kangaroo

Problem 1

Problem 1 · 2012 Math Kangaroo Easy
Spatial & Visual Reasoning sequence-of-figuresarea-fraction
Figure for Math Kangaroo 2012 Problem 1
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Answer: D
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Hint 1 of 2
Each square has the same total area, so just compare how much is shaded versus blank.
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Hint 2 of 2
Look for the picture where the white region is more than half of the square.
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Approach: compare shaded vs unshaded as fractions of the square
  1. In four of the squares the grey and white parts each make up exactly half.
  2. In one square a corner-to-corner diagonal plus a centre line leave only two small grey triangles, each a quarter of a half — grey is just one quarter.
  3. There the white part is three quarters, which is bigger than the grey.
  4. That picture is D.
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