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2024 Math Kangaroo

Problem 7

Problem 7 · 2024 Math Kangaroo Medium
Logic & Word Problems spatial-reasoning
Figure for Math Kangaroo 2024 Problem 7
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Answer: D
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Hint 1 of 2
Each child's hand starts one string and each kite ends one string; the missing rectangle must connect them correctly.
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Hint 2 of 2
Follow where the strings enter the empty rectangle on the left and right edges, and pick the piece whose curves join the same entry points to the same kites.
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Approach: match the string entry points across the gap
  1. On the edges of the empty space, note where each kite string enters and which child's hand the strings must reach.
  2. The inserted piece has to carry each entering string across to the correct exit so that every child holds exactly one kite.
  3. Only choice D routes the curves so the connections line up without crossing wrongly.
  4. So the missing picture is D.
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