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2015 Math Kangaroo

Problem 8

Problem 8 · 2015 Math Kangaroo Medium
Counting & Probability careful-counting

How many numbers are outside the square?

Figure for Math Kangaroo 2015 Problem 8
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Answer: E — 2
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Hint 1 of 2
The square holds some of the numbers; the rest are outside it.
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Hint 2 of 2
Count only the numbers that are NOT inside the square.
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Approach: count the numbers that lie outside the square
  1. Draw a finger around the edge of the square: numbers touching the inside are 'in', the rest are 'out'.
  2. Point at each number outside the square and count them.
  3. Exactly 2 numbers sit outside the square, choice E.
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