🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2025 Math Kangaroo

Problem 5

Problem 5 · 2025 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracing

Markus pulls on both ends of each rope at the same time. Which rope forms a knot?

Figure for Math Kangaroo 2025 Problem 5
Show answer
Answer: C
Show hints
Hint 1 of 2
Imagine pulling each rope tight - most will just straighten out.
Still stuck? Show hint 2 →
Hint 2 of 2
Only a rope whose ends pass through the loop the right way will tighten into a real knot.
Show solution
Approach: check which crossing pattern stays tangled when pulled tight
  1. When you pull a rope's ends, a fake tangle simply slides apart and straightens.
  2. A true knot keeps a loop locked even after pulling.
  3. Checking each picture, only option C stays knotted.
  4. So rope C forms a knot.
Mark: · log in to save