🦘 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 18

Problem 18 · 2020 Math Kangaroo Hard
Spatial & Visual Reasoning tiling-tessellationarea-decomposition
Figure for Math Kangaroo 2020 Problem 18
Show answer
Answer: A
Show hints
Hint 1 of 2
The shape has 15 little squares split into 3 equal pieces — how many squares is each piece?
Still stuck? Show hint 2 →
Hint 2 of 2
Each piece must have exactly that many squares and fit the missing-corner shape.
Show solution
Approach: divide the area into three equal pieces and match a piece
  1. The 4×4 grid missing one square has 15 squares, so each of the three equal pieces has 5 squares.
  2. Among the choices, the five-square shape that tiles the figure is option A.
Mark: · log in to save