🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2021 Math Kangaroo

Problem 17

Problem 17 · 2021 Math Kangaroo Hard
Spatial & Visual Reasoning tiling-tessellation

Mara built the square by using 4 of the following 5 shapes. Which shape was not used?

Figure for Math Kangaroo 2021 Problem 17
Show answer
Answer: D
Show hints
Hint 1 of 3
Only 4 of the 5 shapes are used to build the square, so one is left over.
Still stuck? Show hint 2 →
Hint 2 of 3
Try fitting the shapes into the square like puzzle pieces, matching the little symbols.
Still stuck? Show hint 3 →
Hint 3 of 3
The shape that has no place to fit is the one that was not used.
Show solution
Approach: fit four pieces into the square
  1. The square is built from exactly 4 of the 5 shapes, so one shape is left out.
  2. Fit the shapes into the square so their symbols line up, like a jigsaw.
  3. The shape that does not fit anywhere is option D, so D was not used.
Mark: · log in to save