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2015 Math Kangaroo

Problem 4

Problem 4 · 2015 Math Kangaroo Medium
Fractions, Decimals & Percents proportion
Figure for Math Kangaroo 2015 Problem 4
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Answer: A
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Hint 1 of 2
The pie slices keep the same relative sizes as the bar heights.
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Hint 2 of 2
Match the order of the slice sizes to the order of the bars (tall, short, medium, medium).
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Approach: match slice sizes to bar heights
  1. Read the four bars: the grey bar is tallest, the white bar nearly as tall, the dark-grey bar medium, and the black bar by far the shortest.
  2. A pie slice's angle is proportional to its bar's height, so the slices must repeat that same size order with matching colours.
  3. Only chart (A) has a big grey slice, a slightly smaller white slice, a medium dark-grey slice and a tiny black slice — so the answer is (A).
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