Problem 14 · 2015 Math Kangaroo
Medium
Spatial & Visual Reasoning
path-tracingspatial-reasoning
Peter rides his bike along a cycle path in a park. He starts at point S and rides in the direction of the arrow. At the first crossing he turns right, then at the next left, and then again to the right and then again to left. Which crossing does he not reach?
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Answer: D — D
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Hint 1 of 2
Put your finger on S, point it the way the arrow points, and ride along.
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Hint 2 of 2
At each crossing make the next turn in the list (right, then left, then right, then left) and see which labelled crossing your finger never lands on.
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Approach: trace the route obeying the turn sequence
- Start at S facing the arrow and ride to the first crossing, then turn as told: right, then left, then right, then left.
- Tracing this with your finger, Peter rolls through the other crossings but his turns steer him away from one of them.
- The crossing he never reaches is D.
Mark:
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