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2016 Math Kangaroo

Problem 13

Problem 13 · 2016 Math Kangaroo Medium
Spatial & Visual Reasoning spatial-reasoningcareful-counting

Five children each have a black square, a grey triangle and a white circle made of paper. The children place the three shapes on top of each other as shown in the pictures. In how many pictures was the triangle placed after the square?

Figure for Math Kangaroo 2016 Problem 13
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Answer: D — 3
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Hint 1 of 2
If the triangle was placed after the square, the triangle must cover the square.
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Hint 2 of 2
Check each picture: is the square hidden by the triangle, or does it show on top?
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Approach: decide the stacking order from what covers what
  1. The triangle is placed after the square when the triangle sits on top of (hides part of) the square.
  2. Go through the five pictures and mark the ones where the triangle covers the square.
  3. Three of the pictures show the triangle on top of the square.
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