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'Nineteen Hexagons' printed from https://nrich.maths.org/

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It might be helpful to circle all the multiples of two in one colour and all the multiples of five in another colour to start with.
Choose one multiple of two that you could go to first. Is there a multiple of five next to it on the outside of the maze? Are there any others?
How are you going to record your paths so you know where you've been?