🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2015 Math Kangaroo

Problem 8

Problem 8 · 2015 Math Kangaroo Medium
Spatial & Visual Reasoning spatial-reasoning
Figure for Math Kangaroo 2015 Problem 8
Show answer
Answer: E
Show hints
Hint 1 of 2
A magnified circular patch must match a piece of the squiggly drawing exactly in how the lines cross it.
Still stuck? Show hint 2 →
Hint 2 of 2
Compare the line pattern inside each circle with what actually appears in the picture; one pattern never occurs.
Show solution
Approach: match each magnified circle to a region of the picture
  1. Through the magnifying glass Peter sees a round window onto part of the drawing, so the lines inside the circle must reproduce a real crossing in the picture.
  2. Four of the circles match a place where the curves cross or pass through as shown.
  3. The pattern of lines in circle E does not occur anywhere in the picture, so that is the section he cannot see.
Mark: · log in to save