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2025 Math Kangaroo

Problem 13

Problem 13 · 2025 Math Kangaroo Hard
Spatial & Visual Reasoning spatial-reasoninggrid

Two pieces were cut out of a chessboard, leaving the two white holes shown. Which two of the five numbered pieces are they?

Figure for Math Kangaroo 2025 Problem 13
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Answer: B — 1 and 5
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Hint 1 of 2
Look at the colours of the two holes in the board - each cut piece must keep the chessboard's black and white pattern.
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Hint 2 of 2
Match both the shape and the exact colouring of each hole to the numbered pieces.
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Approach: match shape and colouring of the two holes
  1. A cut-out piece must keep the alternating black-and-white squares of the board.
  2. Compare the shape and colour pattern of each hole to the five numbered pieces.
  3. The two holes match pieces 1 and 5.
  4. So the answer is B.
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