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2021 Math Kangaroo

Problem 8

Problem 8 · 2021 Math Kangaroo Medium
Arithmetic & Operations careful-counting

In the Kangaroo constellation, all stars have a number greater than 3 and their sum is 20. Which is the Kangaroo constellation?

Figure for Math Kangaroo 2021 Problem 8
Show answer
Answer: B
Show hints
Hint 1 of 3
Two rules must both be true: every star number is bigger than 3, and they add up to 20.
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Hint 2 of 3
First cross out any picture that has a star showing 3 or less.
Still stuck? Show hint 3 →
Hint 3 of 3
From the ones left, add the star numbers and keep the picture that totals 20.
Show solution
Approach: use both rules to pick the picture
  1. First throw away any constellation that has a star numbered 3 or smaller.
  2. From the pictures that are left, add up all their star numbers.
  3. The one whose stars are all bigger than 3 and add to 20 is option B.
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