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2018 Math Kangaroo

Problem 1

Problem 1 · 2018 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracing

Alice draws lines between the beetles. She starts with the beetle that has the fewest dots. Then she keeps drawing on to the beetle with one more dot. Which figure is formed?

Figure for Math Kangaroo 2018 Problem 1
Show answer
Answer: D
Show hints
Hint 1 of 3
First find the beetle with the fewest dots — that is where the pencil starts.
Still stuck? Show hint 2 →
Hint 2 of 3
Go beetle to beetle in dot order: 1 dot, then 2 dots, then 3 dots, and so on.
Still stuck? Show hint 3 →
Hint 3 of 3
The line you draw between them, in that order, makes one of the five shapes.
Show solution
Approach: connect the beetles in dot order and see the shape
  1. Count the dots on each beetle and put them in order: the fewest-dot beetle is first, then one more, then one more.
  2. Draw the line from the 1st beetle to the 2nd, then to the 3rd, and on to the last — always to the beetle with just one more dot.
  3. Following the beetles in that dot order draws the open shape in option D (not a closed star or pentagon).
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