🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2020 Math Kangaroo

Problem 1

Problem 1 · 2020 Math Kangaroo Easy
Spatial & Visual Reasoning tiling-tessellationsequence-of-figures

Which tile below completes the wall shown next to it?

Figure for Math Kangaroo 2020 Problem 1
Show answer
Answer: E
Show hints
Hint 1 of 2
Look at the cells right around the empty hole and see how their pink shapes point into it.
Still stuck? Show hint 2 →
Hint 2 of 2
The missing tile must continue the four-fold pinwheel pattern; match the orientation of the dark corners and pink star to the neighbours.
Show solution
Approach: match the missing tile to the surrounding pattern
  1. The wall is built from a repeating tile, rotated in a pinwheel; the hole sits where one tile is missing.
  2. Read off what the neighbouring cells demand at the four edges of the hole.
  3. Only choice E has its dark corner and pink-star orientation matching every neighbour, so it completes the wall.
Mark: · log in to save