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2022 Math Kangaroo

Problem 2

Problem 2 · 2022 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracing

Eva paddles her boat around five buoys (see diagram). Which buoys does she paddle around in an anti-clockwise direction?

Figure for Math Kangaroo 2022 Problem 2
Show answer
Answer: E — 1 and 3
Show hints
Hint 1 of 3
Trace the boat's path slowly with your finger and notice which way it curves around each buoy.
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Hint 2 of 3
Anti-clockwise means turning the same way the hands of a clock run backwards; check each buoy for that turn.
Still stuck? Show hint 3 →
Hint 3 of 3
A buoy is rounded anti-clockwise when the boat keeps it on its left as it loops around.
Show solution
Approach: trace the route and watch which way the boat curves around each buoy
  1. Put your finger on the boat and follow the drawn line all the way around.
  2. Each time you loop a buoy, ask: am I curving like a clock (clockwise) or backwards (anti-clockwise)?
  3. Doing this for all five buoys, only buoys 1 and 3 are looped backwards (anti-clockwise).
  4. So the answer is E.
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