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2013 Math Kangaroo

Problem 4

Problem 4 · 2013 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracing

Nick can turn right but not left on his bicycle. What is the least number of right turns he must make to get from A to B?

Figure for Math Kangaroo 2013 Problem 4
Show answer
Answer: B — 4
Show hints
Hint 1 of 3
Put your finger at A and try to drive to B, only ever turning right.
Still stuck? Show hint 2 →
Hint 2 of 3
Each right turn changes the direction you face by a quarter-turn; count just the turns.
Still stuck? Show hint 3 →
Hint 3 of 3
Hunt for the route that reaches B making as few right turns as you can.
Show solution
Approach: trace the right‑only route through the maze
  1. Start at A and follow the streets, allowed to go straight or turn right but never left.
  2. Trying the routes, the one that reaches B with the fewest turns needs 4 right turns.
  3. So the least number of right turns is 4, choice B.
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