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2022 Math Kangaroo

Problem 7

Problem 7 · 2022 Math Kangaroo Medium
Logic & Word Problems work-backward

There is an animal asleep in each of the five baskets. The koala and the fox sleep in baskets with the same pattern and the same shape. The kangaroo and the rabbit sleep in baskets with the same pattern. In which basket does the mouse sleep?

Figure for Math Kangaroo 2022 Problem 7
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Answer: E — Basket 5
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Hint 1 of 2
Find the two baskets that look exactly the same in BOTH pattern and shape - those go to the koala and the fox.
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Hint 2 of 2
Then find the other two baskets that share a pattern - those go to the kangaroo and the rabbit; the basket left over is the mouse's.
Show solution
Approach: place the four named animals, then the mouse takes the leftover basket
  1. Baskets 2 and 4 are exactly alike (green with black dots, same shape), so they hold the koala and the fox.
  2. Baskets 1 and 3 share the orange-and-blue woven pattern, so they hold the kangaroo and the rabbit.
  3. That leaves only Basket 5 (the tan basket with a lid) for the mouse, so the answer is Basket 5.
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