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2019 Math Kangaroo

Problem 6

Problem 6 · 2019 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoningwork-backward

Five equally big square pieces of card are placed on a table on top of each other, making the picture shown. The cards are collected up from top to bottom. In which order are they collected?

Figure for Math Kangaroo 2019 Problem 6
Show answer
Answer: E — 5-2-3-1-4
Show hints
Hint 1 of 2
The card on top is the one whose whole shape is fully visible, none of it hidden.
Still stuck? Show hint 2 →
Hint 2 of 2
Pick up the fully-showing card first, then the next one that becomes fully visible, and so on.
Show solution
Approach: peel cards top-down, taking the fully-visible one each time
  1. The card that is completely visible (nothing covering it) is on top, so it comes off first.
  2. Remove it, then find the next card that is now fully uncovered, and take that one.
  3. Repeating this gives the order of collection from top to bottom.
  4. That order matches option E.
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