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Australian AMC 2020 - Middle Primary Question 8

AMC AUSTRALIA · Australian AMC 2020 - Middle Primary

Question 8

Tia is playing a computer game with a rabbit on a grid. Each arrow key moves the rabbit one square in the direction on the key. Starting in the centre of the grid, which sequence of moves takes Tia’s rabbit back to this starting position?

Question illustration

Question illustration
  1. ↑ ↑ → → ↑ ↑ → →
  2. ↑ ↑ ← → → ← ↓ ↓
  3. ↑ ↑ ↑ ← ← ← ↓ →
  4. ↑ ← ↓ ↓ ↓ ↓ → ↑
  5. → → → ↑ ← ← ← ↑