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2025 Math Kangaroo

Problem 13

Problem 13 · 2025 Math Kangaroo Stretch
Spatial & Visual Reasoning cube-viewsspatial-reasoning

Mike has the two building blocks shown. Which of the objects cannot be built with these two building blocks?

Figure for Math Kangaroo 2025 Problem 13
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Answer: E
Show hints
Hint 1 of 3
Both blocks together are made of 6 little cubes, so every object you build must use 6 cubes too.
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Hint 2 of 3
Try to colour each object into the bent piece and the straight piece.
Still stuck? Show hint 3 →
Hint 3 of 3
If you cannot split an object into exactly those two shapes, that object is the impossible one.
Show solution
Approach: try to split each object into the two given pieces
  1. The two blocks are a bent 3-cube piece and a straight 3-cube piece.
  2. For four of the objects you can colour them into the bent piece plus the straight piece.
  3. Object E cannot be split into exactly those two pieces, so the answer is E.
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