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Australian AMC 2024 - Middle Primary Question 18

AMC AUSTRALIA · Australian AMC 2024 - Middle Primary

Question 18

Coco is making a hanging mobile from coathangers. Starting with 1 coathanger in the first layer, she hangs 2 coathangers in the second layer, 1 at each end of the first, as shown. She works along each layer following the same pattern, so that every coathanger has 2 new coathangers hanging from it. Coco stops when she has finished 6 layers. How many coathangers are in her mobile?

Question illustration
  1. Between 20 and 30
  2. Between 30 and 40
  3. Between 40 and 50
  4. Between 50 and 60
  5. Between 60 and 70