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2024 Math Kangaroo

Problem 1

Problem 1 · 2024 Math Kangaroo Easy
Logic & Word Problems spatial-reasoninggrid

Kangaroo Joey wants to jump through the maze. Joey starts in the square at the bottom left (see picture). The number of arrows in a square tells how long the jump must be: a square with three arrows means Joey jumps over two squares in the direction of the arrows and lands in the third square.

Where will Joey leave the maze?

Figure for Math Kangaroo 2024 Problem 1
Show answer
Answer: B — B
Show hints
Hint 1 of 2
Start in the bottom-left square and follow the arrows one jump at a time, counting squares carefully.
Still stuck? Show hint 2 →
Hint 2 of 2
Treat each square as an instruction: the arrow gives the direction and the number of arrows gives how many squares to advance; see which edge you eventually step off.
Show solution
Approach: trace the path square by square
  1. Begin on the bottom-left square and read its arrows: move in the arrow's direction by as many squares as there are arrows (three arrows = land in the third square).
  2. Repeat from each square you land on, always obeying the new square's arrows.
  3. Following the chain of jumps, Joey is carried to the edge of the grid and exits through the side marked B.
  4. So Joey leaves the maze at B.
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