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2023 Math Kangaroo

Problem 10

Problem 10 · 2023 Math Kangaroo Medium
Spatial & Visual Reasoning tiling-tessellationcomposition

Max wants to complete the jigsaw shown. He has different pieces. Which pieces does he have to use?

Figure for Math Kangaroo 2023 Problem 10
Show answer
Answer: A
Show hints
Hint 1 of 3
Look carefully at the empty gap that still needs to be filled.
Still stuck? Show hint 2 →
Hint 2 of 3
Try laying each option onto the gap and see if it fits with no holes and nothing sticking out.
Still stuck? Show hint 3 →
Hint 3 of 3
The right pieces fill the gap exactly, with no overlaps and no leftover space.
Show solution
Approach: try fitting each option into the empty gap
  1. Look at the shape of the empty hole left in the jigsaw.
  2. Try each set of pieces in turn: the wrong ones leave a gap or poke out over the edge.
  3. Only the pieces in option A fill the hole perfectly.
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