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2021 Math Kangaroo

Problem 3

Problem 3 · 2021 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracing

In the square you can see the digits from 1 to 9. A number is created by starting at the star, following the line and writing down the digits along the line while passing. For example, the line shown represents the number 42685. Which of the following lines represents the largest number?

Figure for Math Kangaroo 2021 Problem 3
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Answer: E
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Hint 1 of 2
Read off the digit string each path makes, then compare them as numbers.
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Hint 2 of 2
The biggest number starts with the largest leading digit; break ties by the next digit.
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Approach: trace each path into a number and compare
  1. Each option traces a path from the star across cells of the 1-9 grid, writing the digit of every cell it passes.
  2. Convert each path to its number and compare digit by digit from the left.
  3. Path E produces the largest such number.
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