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2020 Math Kangaroo

Problem 3

Problem 3 · 2020 Math Kangaroo Easy
Spatial & Visual Reasoning transformations

The board shown is made of small white and dark squares. After a ninety-degree turn, how could this board look?

Figure for Math Kangaroo 2020 Problem 3
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Answer: D
Show hints
Hint 1 of 2
A quarter turn moves the top row to a side and changes which way the pattern leans.
Still stuck? Show hint 2 →
Hint 2 of 2
Rotate the dark/white pattern 90 degrees and find the matching grid.
Show solution
Approach: rotate the dark-square pattern a quarter turn
  1. Pick out the positions of the dark squares in the given board.
  2. Turn the whole board 90 degrees: every square slides to its rotated position, so the pattern tips onto its side.
  3. Comparing the five options, only board D shows that exact rotated arrangement.
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