Problem 2 · 2024 Math Kangaroo
Easy
Logic & Word Problems
spatial-reasoning
The picture shows the footprints of the first few jumps of a kind of hopscotch. The prints show whether you may land on a square with the left foot, the right foot, or both feet. Mia starts with both feet on square number 1 and repeats the jumping pattern in the direction of the arrow.
On which of the following squares is Mia allowed to land with her right foot only?
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Answer: C — square no. 20
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Hint 1 of 2
Read off the four-square footprint pattern (both / right / both / left, say) and notice it repeats every four squares.
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Hint 2 of 2
Find which position in the repeating cycle is the 'right foot only' square, then check which listed number lands on that position.
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Approach: find the repeating cycle of footprints
- The footprints in squares 1-4 set a pattern that then repeats every four squares in the arrow's direction.
- Locate the position within that 4-square cycle that calls for the right foot only.
- Each candidate number lands on a fixed spot in the cycle; only square no. 20 lines up with the right-foot-only position.
- So Mia uses her right foot only on square 20.
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