Problem 1 · 2018 Math Kangaroo
Easy
Spatial & Visual Reasoning
path-tracingcareful-counting
In the diagram, 3 darts are flying towards 9 fixed balloons. If a dart hits a balloon, the balloon bursts and the dart keeps going in the same direction. How many balloons are hit by the darts?
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Answer: E — 6
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Hint 1 of 2
A dart does not stop at the first balloon — it keeps flying the same way and can pop more.
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Hint 2 of 2
Put your finger on each dart and slide it straight ahead, marking every balloon it touches.
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Approach: slide a finger along each dart's straight line and mark every balloon it touches
- Place a finger on a dart and slide it straight in the way it is pointing; mark each balloon the line passes through.
- Do this for all three darts — some darts line up with two balloons in a row, so they pop both.
- Counting all the marked balloons gives 6, answer E.
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