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2018 Math Kangaroo

Problem 6

Problem 6 · 2018 Math Kangaroo Medium
Spatial & Visual Reasoning composition

This diagram shows two see-through sheets. You place one sheet on top of the other (without turning either one). Which pattern do you get?

Figure for Math Kangaroo 2018 Problem 6
Show answer
Answer: D
Show hints
Hint 1 of 3
The sheets are see-through, so when stacked you see ALL the lines from both at once.
Still stuck? Show hint 2 →
Hint 2 of 3
Slide one sheet straight onto the other without spinning it — every line stays where it was.
Still stuck? Show hint 3 →
Hint 3 of 3
Pick the picture that shows every line from the first sheet AND every line from the second.
Show solution
Approach: lay the see-through sheets on top of each other and keep every line
  1. Because both sheets are see-through, the answer must show every line from each one — nothing disappears.
  2. The first sheet has a line going straight up and a line going to the right; the second sheet adds a line slanting up to the right.
  3. Putting all of those lines together, with none missing and none extra, gives the picture in option D.
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