🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2023 Math Kangaroo

Problem 11

Problem 11 · 2023 Math Kangaroo Medium
Spatial & Visual Reasoning path-tracingspatial-reasoning

The diagram shows four cars 1, 2, 3 and 4. The arrows show where the cars move to in 5 seconds. Which cars will crash into each other?

Figure for Math Kangaroo 2023 Problem 11
Show answer
Answer: D — 2 and 3
Show hints
Hint 1 of 2
Follow each arrow with your finger to the spot where that car ends up.
Still stuck? Show hint 2 →
Hint 2 of 2
Two cars crash only if their two arrows point to the very same spot.
Show solution
Approach: trace each arrow to its end spot and find the two that land on the same place
  1. Trace where each arrow takes its car over the five seconds.
  2. The arrows for car 2 and car 3 both point to the same crossing spot.
  3. Since they arrive at the same place, the crashing pair is 2 and 3.
Mark: · log in to save