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2024 Math Kangaroo

Problem 6

Problem 6 · 2024 Math Kangaroo Medium
Spatial & Visual Reasoning reflectionspatial-reasoning

Tim has black and white squares of paper. He sticks the squares on the inside of a window so that the shown pattern appears. Which pattern can be seen from outside the window?

Figure for Math Kangaroo 2024 Problem 6
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Answer: D
Show hints
Hint 1 of 3
Think about looking at writing through glass from the other side — it comes out backwards.
Still stuck? Show hint 2 →
Hint 2 of 3
Seen from outside, the whole pattern is flipped like a mirror: left and right swap.
Still stuck? Show hint 3 →
Hint 3 of 3
Flip each row so the left square becomes the right square, then find the matching picture.
Show solution
Approach: flip the pattern left-to-right like a mirror
  1. Looking from outside is like seeing the window through a mirror, so the picture flips left-to-right.
  2. Take each row and swap its left and right squares: the black square on the left jumps to the right, and so on.
  3. The flipped pattern matches option D.
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