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2018 Math Kangaroo

Problem 3

Problem 3 · 2018 Math Kangaroo Easy
Arithmetic & Operations total-then-divide

Which beetle has to fly away so that the beetles that are left have 20 dots altogether?

Figure for Math Kangaroo 2018 Problem 3
Show answer
Answer: B — Beetle with 7 dots
Show hints
Hint 1 of 3
Count the dots on every beetle and add them all together first.
Still stuck? Show hint 2 →
Hint 2 of 3
You have too many dots — the beetle that flies off should carry away the extra ones.
Still stuck? Show hint 3 →
Hint 3 of 3
How many dots over 20 do you have? Look for the beetle with exactly that many.
Show solution
Approach: find how many dots are extra, then spot that beetle
  1. Count the dots on the five beetles: 5, 7, 5, 6 and 4. Adding them gives 27 dots in all.
  2. You want only 20 dots left, but you have 27 — that is 7 too many.
  3. So the beetle that flies away must take 7 dots with it: the beetle with 7 dots.
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