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2017 Math Kangaroo

Problem 4

Problem 4 · 2017 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoningsequence-of-figures

This picture shows a bracelet with pearls. Which of the bands below shows the same bracelet as above? (The five bands are shown as choices A, B, C, D, E.)

Figure for Math Kangaroo 2017 Problem 4
Show answer
Answer: E
Show hints
Hint 1 of 2
The bracelet is a ring, so it does not matter which pearl you start counting from.
Still stuck? Show hint 2 →
Hint 2 of 2
Say the colours out loud going around the ring, then find the band that matches when it is wrapped into the same ring.
Show solution
Approach: read the pearls around the ring
  1. The bracelet is a closed ring of pearls. Say their colours out loud going around it.
  2. When you cut a ring open into a straight band, you can start at any pearl, so the band can begin in a different place but the order of colours stays the same.
  3. Check each band: does it have the same colours in the same going-around order?
  4. Band E matches the bracelet.
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