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2025 Math Kangaroo

Problem 10

Problem 10 · 2025 Math Kangaroo Medium
Spatial & Visual Reasoning spatial-reasoning

All the buttons on Carola's sweater look exactly like the one shown. Which one of these buttons is from her sweater?

Figure for Math Kangaroo 2025 Problem 10
Show answer
Answer: E
Show hints
Hint 1 of 3
You may turn a button around, but you cannot flip it into its mirror image.
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Hint 2 of 3
Look at how the marks sit next to each other on the real button.
Still stuck? Show hint 3 →
Hint 3 of 3
Spin each choice in your mind and find the one whose marks line up exactly like the real button.
Show solution
Approach: match the fixed arrangement of marks (allowing rotation)
  1. The real button has a heart, several small dots, and a curved mark in a fixed pattern.
  2. A correct copy can be rotated but must keep the same relative positions and the same number of marks.
  3. Only button E matches the real button after turning, so the answer is E.
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