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2014 Math Kangaroo

Problem 8

Problem 8 · 2014 Math Kangaroo Medium
Spatial & Visual Reasoning path-tracinggrid-counting

When the ant walks from home along the arrows right 3, up 3, right 3, up 1, he gets to the ladybird. Which animal does the ant get to when he walks from home along these arrows: right 2, down 2, right 3, up 3, right 2, up 2?

Figure for Math Kangaroo 2014 Problem 8
Show answer
Answer: A
Show hints
Hint 1 of 3
An arrow with a number tells you how many squares to step that way, like a board game move.
Still stuck? Show hint 2 →
Hint 2 of 3
Start your finger on the home square and make each move one square at a time, counting as you go.
Still stuck? Show hint 3 →
Hint 3 of 3
When all the moves are done, look at the square your finger has landed on.
Show solution
Approach: hop square by square through every arrow, then read the animal on the landing square
  1. Put your finger on the home square; each arrow says which way to go and how many squares to hop.
  2. Hop right 2, then down 2, then right 3, then up 3, then right 2, then up 2, counting each square.
  3. Your finger lands on the square in the top-right where the butterfly is sitting.
  4. So the ant reaches the butterfly — choice A.
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