🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2016 Math Kangaroo

Problem 12

Problem 12 · 2016 Math Kangaroo Medium
Spatial & Visual Reasoning tiling-tessellationspatial-reasoning
Figure for Math Kangaroo 2016 Problem 12
Show answer
Answer: B
Show hints
Hint 1 of 2
Look at where each coloured line meets the edge of the empty middle hexagon.
Still stuck? Show hint 2 →
Hint 2 of 2
The new piece must continue each line with the same colour on every shared edge.
Show solution
Approach: match line colours across every shared edge of the gap
  1. On each side of the missing hexagon, note the colour of the line touching that edge.
  2. The correct piece must have a line of the same colour reaching each of those edges.
  3. Only option B matches the colour at every edge.
Mark: · log in to save