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2019 Math Kangaroo

Problem 12

Problem 12 · 2019 Math Kangaroo Medium
Fractions, Decimals & Percents area-fraction
Figure for Math Kangaroo 2019 Problem 12
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Answer: B
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Hint 1 of 3
Each square is divided into equal little cells, so the black part is just a fraction of those cells.
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Hint 2 of 3
For each square, count the black cells over the total cells to get its black fraction.
Still stuck? Show hint 3 →
Hint 3 of 3
Turn the fractions into a common comparison (or decimals) and pick the biggest.
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Approach: compute the black fraction of each square
  1. Each square is cut into equal cells, so its black share is (black cells) รท (total cells).
  2. Read off the black fraction of every square and compare them โ€” a square with a coarser grid can still hide a bigger black share.
  3. The largest black fraction belongs to square B (B).
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