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2024 Math Kangaroo

Problem 5

Problem 5 · 2024 Math Kangaroo Easy
Spatial & Visual Reasoning gridcareful-counting

Each of the numbers 1, 2, 5 and 6 in the picture is made by folding one strip of paper. Which strip is the longest?

Figure for Math Kangaroo 2024 Problem 5
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Answer: D — 6
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Hint 1 of 3
If you unfolded each paper strip it would lie flat, and a longer strip covers more grid squares.
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Hint 2 of 3
So just count how many little grid squares each number is drawn on.
Still stuck? Show hint 3 →
Hint 3 of 3
Compare the counts — the number sitting on the most squares used the longest strip.
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Approach: count the grid squares each number covers
  1. A longer paper strip covers more grid squares, so we count the squares each number fills.
  2. The number 6 is drawn on more grid squares than the 1, the 2, or the 5.
  3. So the strip for 6 is the longest.
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