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2017 Math Kangaroo

Problem 7

Problem 7 · 2017 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoning

The following picture shows a necklace with six pearls. Which of the following diagrams shows the same necklace?

Figure for Math Kangaroo 2017 Problem 7
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Answer: A
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Hint 1 of 2
A necklace can be turned around or flipped over, so look at the order of the colours, not the starting point.
Still stuck? Show hint 2 →
Hint 2 of 2
Read the beads in order around the loop and find the choice with the same repeating pattern.
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Approach: match the cyclic colour order, allowing rotations and a flip
  1. On a closed necklace you may start counting at any bead and go either way.
  2. Read the colour sequence of the original loop.
  3. Check each choice for the same sequence up to turning or flipping.
  4. Only choice A gives the same bead pattern.
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