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2018 Math Kangaroo

Problem 4

Problem 4 · 2018 Math Kangaroo Easy
Spatial & Visual Reasoning gridsequence-of-figures

Peter has drawn this pattern. He draws exactly the same pattern once more, right after it. Which point is on his drawing?

Figure for Math Kangaroo 2018 Problem 4
Show answer
Answer: D — D
Show hints
Hint 1 of 3
Find the spot where Peter's pattern ends — the second copy starts right there.
Still stuck? Show hint 2 →
Hint 2 of 3
Draw the very same up-and-down line again, counting grid squares so it matches exactly.
Still stuck? Show hint 3 →
Hint 3 of 3
When the second copy is drawn, see which lettered dot the line touches.
Show solution
Approach: copy the pattern onto the grid and see which dot it hits
  1. The new copy begins where the first pattern stops and uses the same grid squares.
  2. Redraw the same zig-zag, going up and down by the same number of squares as before.
  3. The corner of the repeated pattern lands exactly on point D.
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