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2018 Math Kangaroo

Problem 5

Problem 5 · 2018 Math Kangaroo Easy
Spatial & Visual Reasoning transformationsspatial-reasoning

On the right you can see a picture of the ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie?

Figure for Math Kangaroo 2018 Problem 5
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Answer: D
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Hint 1 of 2
When you turn a ladybird on the table, her spots stay stuck in the same places — only the whole picture spins.
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Hint 2 of 2
Four pictures are just Sophie spun around; one has the spots in a different arrangement that turning can never make.
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Approach: turn each picture in your head and find the one whose spots can never match Sophie
  1. Imagine spinning the real Sophie like a coin on the table; her spots keep the same arrangement, just pointing a new way.
  2. Try to spin each answer picture to land on Sophie — four of them work.
  3. One picture has its spots placed differently and can never be spun to match, answer D.
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